A CHEMICAL, STATISTICAL AND STRUCTURAL ANALYSIS OF SECONDARY DQLOMITIZATION IN THE ROGERS CITY ~ DUNDEE FORMATION OF THE CENTRAL MICHIGAN BASIN Thesis for the Degree of DI]. D. MECEIGAN ' {STATE 3N1?! ER'SIT‘Y Betty M. Tinklepaugh 1957 This is to certify that the thesis entitled "A Chemical, Statistical and Structural Analysis of Secondary Dolomitization in the Rogers-City Dundee Formation of the Central Michigan Basin." presented by Betty M. Tinkleangh has been accepted towards fulfillment of the requirements for Ph. D. degree mm 25 . [I k L“ :91 4 A dag; /' AMA/l N Major professor 9 ( Date 4%nmmfimHFf5—Igg7——— 0-169 A," - -‘r t g 5.715% ,5: “1,? "‘3' n a - . t j .' .'..;:I” Httifir g . t .. , 3...? ‘2‘ m . .—~_o-.-- at A CHEMICAL, STATISTICAL AND STRUCTURAL ANALYSIS OF SECONDARY DOLOMITIZATION IN THE ROGERS CITY-DUNDEE FORMATION OF THE CENTRAL MICHIGAN BASIN by BETTY M. TINKLEPAUGH AN ABSTRACT Submitted to the School of Graduate Studies of Michigan State University of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Geology Year 1957 "—5 U ‘I I“ / Approved: / - / ‘ WA. l'."‘""Y:““‘L‘-’"‘ 7 2‘” x I ~’ v BETTY M. TINKLEPAUGH ABSTRACT The Rogers City-Dundee (Devonian) formation in the central Michigan basin, although normally a marine lime- stone, is in many places an extremely porous dolomite. Oil fields producing from the Rogers City formation are generally limited to these dolomitic zones. The origin and character- istcs of these dolomitic zones were the primary concern of this investigation. A study of the possible relationships between second- ary dolomitization, structure, and porosity was made over an area of approximately 400 square miles chosen in the Central Michigan basin where four major fields produce oil from the Rogers City formation. Chemical analyses for calcium, magnesium, and iron content were made from samples within the top twenty feet of the Rogers City formation, in which the pay zones occur. The methods used were adopted by the author from Standard Methods for the Examination of Water, Sewage, and Industrial Wastes, published by the American Public Health Association, 1955. They were as follows: 1. Calcium analyses were made by the "Compleximetric" or versene titration methods as used for the determination of calcium hardness of water. 2. Magnesium and iron analyses were determined by spectrophotometric methods as adopted from water hardness tests. BETTY M. TINKLEPAUGH ABSTRACT These methods were highly accurate and extremely rapid as adapted for mass technique analyses. Structural interpretations were made by an interpo- lation of a structure contour map of the area. Comparisons of this map with lithologic magnesium to calcium ratio maps were made to determine vertical and lateral relationships between structure and degree of dolomitization. Statistical comparisons of the data were made by means of analysis of variance methods to determine rela- tionships between: (1) dolomitization and structure, (2) dolomitization and porosity, (3) dolomitization and iron content of the limestones. It was concluded from chemical analyses, structural and lithologic Mg/Ca ratio maps, and statistical analyses that in the top twenty feet of the Rogers City formation, including the prolific Goldwater oil field, there is a definite relationship between the degree of dolomitization and the magnitude of structure; there is a relationship between dolomitization and porosity, the nature of which is neither simple nor direct; and, there would appear to be an inverse relationship between iron content and the degree of dolomitization. The magnesium-calcium ratio in limestones is a very useful geologic tool. It is especially useful in porosity Studies and the location of dolomitized zones and structunes- BETTY M. TINKLEPAUGH ABSTRACT The rapid and accurate techniques used in this study can enable geologists and petroleum engineers to make the Mg/Ca ratio determinations a routine analysis. Statistical studies may enable them to predict porosity of carbonate rocks and show the relationship between porosity and dolo- mitization for many limestones as yet unstudied. A CHEMICAL, STATISTICAL AND STRUCTURAL ANALYSIS OF SECONDARY DOIOMITIZATION IN THE ROGERS CITY—DUNDEE FORMATION OF THE CENTRAL MICHIGAN BASIN by BETTY M. TINKLEPAUGH A THESIS Submitted to the School of Graduate Studies of Michigan State University of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY. Department of Geology Year 1957 ACKNOWLEDGMENTS The author wishes to express her sincere thanks to Dr. B. T. Sandefur for his aid and helpful suggestions throughout this investigation. The writer is greatly indebted to Mr. Irving L. Dahljelm of the Microbiology department for his advice in the development of the methods used for the chemical analyses and for the use of his laboratory facilities, equipment, and reagents. Grateful acknowledgment is also due to Dr. W. D. Baten of the Statistics department for his suggestions and assistance in the choice of statistical methods employed and statistical interpretations best fitted to this study; and to Dr. Justin Zinn for a critical reading of the manu- script. The writer wishes to thank G. D. Ells of the Michigan Geological Survey who generously assisted in obtaining well samples and necessary information required for this study. 'The author is grateful to Dr. A. M. McCarthy for assistance in editing the manuscript- ii VITA Betty M. Tinklepaugh candidate for the degree of Doctor of Philosophy 1957 Dissertation: A Chemical, Statistical and Structural Analysis of Secondary Dolomitization in the Rogers City-Dundee Formation of the Central Michigan Basin Outline of Studies: Major subject: Geology Minor subject: Statistics Biography: Born: April 23, 1930, Corunna, Michigan Undergraduate Studies: Central Michigan College, A. B. degree, l9A8-l952 Graduate Studies: Michigan State University, Master of Science degree, 1952-1955; cont. 1955-57. Experience: Graduate Assistant, Michigan State University, Geology department, 1954-1955, Natural Science department, 1956-1957; Graduate Council Fellowship 1953-1954 and 1955-1956; ' Cartographer, McClure Oil Co., summers 195A, 55; Instructor in Extension teaching in Geography, Michigan State University, summer 1955; Instructor in Natural Science, Michigan State University,l957 Affiliations: Member of the Geological Society of America, Michigan Academy of Science, American Association for the Advancement of Science, Michigan Geological Society, Sigma Delta Epsilon, Associate member of Society of Sigma X1 111 TABLE OF CONTENTS LIST OF TABLES. LIST OF FIGURES LIST OF MAPS . . INTRODUCTION General Problem . HISTORICAL Rfssumé OF DOLOMITE. I. Primary Deposition . A. Chemical Theory . B. Organic Theory C. Clastic Theory . II. Alteration Theories. . . A. Marine Alteration . . B. Ground Water Alteration C. Pneumatolytic Alteration III. Leaching Theories . . . A. Surface Leaching. B. Marine Leaching New Classification . . . A.. Primary dolomites . B. Diagenetic dolomites C. Epigenetic dolomites Dolomitization and Porosity . FIELD DATA . Location of Area. Stratigraphy . . . Goldwater Oil Field. LABORATORY PROCEDURE. . . . Methods. Samples. . Source . . . . . . Sample selection . . . Sample preparation Calcium Determination iv Page . vi vii . viii Magnesium Determination. Magnesium- Calcium Ratios Iron Determination . Results of Chemical Analyses INTERPRETATION OF DATA Structural and Chemical Interpretation. Structure Contour Map. . Structural Interpretation Lithologic Ratio Maps. . Interpretation of Lithologic Ratio .Maps. Goldwater Oil Field . . . Structure Contour Map. Lithologic Ratio Map . . Interpretation of Lithologic Ratio Maps. Vertical Configuration and Pay Zones. Statistical Interpretation. . . Statistical Methods . Statistical Interpretation of Data I. Producing "High" Versus Non- Producing' ‘Low" . II. Producing "High" VerSus Non- Producing "High" . III. Non-Producing "High" Versus Non- Producing' 'Iow" . IV. ‘"High" Versus "Low" Structure. . V. Producing "High" Versus Non-Producing ‘ Low" in Iron Content . . . . ORIGIN OF DOLOMITE IN THE ROGERS CITY LIMESTONE . SUMMARY AND CONCLUSION General Summary Conclusions. . SUGGESTIONS FOR FURTHER STUDY . BIBLIOGRAPHY. . Page 102 107 107 108 114 115 LIST OF TABLES Table Page 1. Well Data and Locations. . . . . . . . . 59 2. Data for an Analysis of Variance—-Producing ‘"High" versus Non-Producing'"Low" . . . . 9O 3. Data for an Analysis of Variance—- A. Producing "High" versus Non-Producing "High" B. Non- -Producing "High" versus Non-Producing n"Low . . . . . . . . . . . 93 A. Data for an Analysis of Variance—~"High" versus HLow structures. . . . . . . 97 5. Data for an Analysis of Variance--Producing "High" versus Non- Producing' 'Low‘I -Iron Content . . . . . . . . . . . . . lOO vi Figure LIST OF FIGURES Michigan Devonian System--generalized columnar section. . . . East-west Cross Section of the Goldwater Oil Field . . . . . . . . . North-south Cross Section of the Coldwater Oil Field . . . . . . . North-south Cross Section of the Goldwater Oil Field . . . . . . . . . . . Analysis of Variance-~Producing "High" versus Non—Producing "Low" . Analysis of Variance--Producing "High" versus Non-Producing "High" Analysis of Variance--Non- Producing "High" versus Non- Producing' Low" . . . Analysis of Variance-4"High" versus "Low" Analysis of Variance-~Producing "High" versus Non-Producing "Low"-Iron Content . . vii Page 38 85 86 87 91 9M 95 98 101 Map - O\ U1 J: W R) LIST OF MAPS Page Location of Area-Map of Michigan. . . . . . 36 Structure Contour--Rogers City Formation (Back Pocket) Magnesium/Calcium Ratio Map-Top 5 Feet (Back Pocket) Magnesium/Calcium Ratio Map-Top 20 feet (Back Pocket) Goldwater Oil Field-Structure Contour Map. . . 82 Goldwater 011 Field-Mg/Ca Ratio Map-Top 10 Feet. 83 viii INTRODUCTION General In Michigan a considerable number of petroleum fields produce from porous zones in locally dolomitized limestones. . The Rogers City—Dundee (Middle Devonian) formation, in the central Michigan basin, is normally a fossiliferous, marine linestone, with no effective porosity. Penetration of the formation reveals that the upper 10 to 20 feet has been altered locally in many places to a porous dolomite from which a large quantity of oil has been obtained. It is the belief of many geologists that the occur- rence of secondary dolomitization is related to zones of weakness, tensional cracks, faults, fissures and the apices of folded structures within the limestone formations (Geikie, .1893; Steidtmann, 1917; Hewett, 1931; Hatch, 1938; Landes, 19A6; Jodry, 1955). Because of the great amount of "com- mercial" porosity which is restricted to dolomitic facies within limestones, there has been a growing tendency for geologists to relate porosity to the process of dolomiti- zation.' Lauer (1917) attributed some porosity in petroleum reservoir rocks as due to "dolomitization cavities in altered limestones." Landes (1946) believes that the pro- cess of dolomitization and porosity is genetically related and refers to it as "local dolomitization porosity." R. B. Hohlt (1948) pointed out that "there is no agreement concerning the origin of porosity through diagenetic and epigenetic dolomitization" but "that a relationship exists between porosity and the process or processes of dolomiti- zation, although no specific relationships have been established." In recent studies Chilingar and Terry (1954) conclude that "field evidence suggests that some porosity forms through dolomitization;" On the other hand, J. E. Adamd (1934) stated: "The constant use of dolomitization as an explanation of the increase in porosity in limestone is one of the theories that appear to be overworked;" Problem In an attempt to study the possible relationships between secondary dolomitization, structure, and porosity the author chose an area of approximately MOO square miles in the central Michigan basin in which fields producing oil from the Rogers City formation are generally limited to dolomite zones . A chemical analysis of the Rogers City limestones from the well samples was made to determine the calcium, magnesium and iron content. The calcium and magnesium were recorded for the purpose of determining the Mg/Ca ratio as a measure of the degree of dolomitization of the lime- Stone. D. F. Hewett (1928) recorded that "dolomitized lime- stones contain more iron than the original rock." Steidtmann (1917), Tarr (1919) and Cheng, Kuang, and Bray (1952) con- firmed this in individual observations of dolomitized lime- stones. But Hewett (1931) found "no evidence of increase in iron oxide with the process of dolomitization in the. Qumsprings quadrangle of Nevada." Because of the possi- lfllity of a relationship existing between iron and dolomit- ization, the author included a determination of the iron cxmtent of the limestones in the chemical analysis. A structural interpretation of the area studied is cxmmared with lithologic Mg/Ca ratio maps to determine the Ixmsible relationship between structure and degree of TRAVERSE Squaw Bay Thunder Bay Potter Farm Norway Point Four Mile Dam Alpena Newt on Creek Genshaw Ferron Point Rockport Quarry Bell Shale CAZENOVIA Rogers City Dundee DETROIT RIVER Lucas Amherstberg Flat Rock Sylvania Bois Blanc Garden Island Figure l. Generalized columnar section of Devonian system in Michigan basin, after Helen M. Martin, Michigan Geological Survey. 39 Rogers City is a typical dark-colored brownish-buff dolo- mitic limestone or dolomite" (Cohee, etc., 1948). It is a predominantly fossiliferous, marine limestone altered locally to dolomite in west-central Michigan and overlaps the Dundee over the northern two-thirds of the Southern Peninsula. '"The underlying Dundee formation restricted, con- sists typically of buff and light brown limestone, becoming more dolomitic and even containing some anhydrite in the lower part in western Michigan" (Cohee, etc., 1948). The Ihmdee in the east and northeastern areas of the Michigan basin is a marine limestone, predominantly tan, containing oolites and stylolites and with a more varied fauna in the peripheral areas (Knapp, 1956). '"In west-central Michigan, in a belt extending north and south, a so-called 'primary' dolomite, crystalline, even-textured, predominantly tan and lacking in recognizable fossils except for occassional stromatoporoids" makes up the characteristic lithology of the Dundee (Knapp, 1956). It is the contention of some geologists that an un- confonmity exists at the base of the Traverse group between the Bell shale and the Rogers City formation. R. B. Newcombe (1930) states that "the facts strongly indicate that there is a surface of unconformity at the base of the Traverse over a large part of southern Michigan, but it has not yet been clearly established;" Ehlers, working in 4O lkesque Isle County, Michigan, states that ”the contact of 3the Rogers City limestone with the overlying Bell shale is disconformable; the effects of erosion of the Rogers City limestone prior to the deposition of the Bell shale are well illustrated" (Ehlers and Radabaugh, 1938). K. K. Landes (1951) also states "that emergence followed the deposition of Dundee and Rogers City strata and subsequent erosion stripped these rocks from the south- vmstern corner of Michigan and again exposed the Detroit River group at the surface." T. S. Knapp (1947), on the other hand, states that it is not unusual to find evidence of erosion perpheral to a deposition basin but that cores of the Bell shale-Rogers City contact "show no visible plane of demarkation between the two formations; evidence of erosion is absolutely lacking." "Therefore, in the absence of any reported direct evidence from cores of post-Rogers City erosion in the central basin area, it is apparent that the Rogers City was not eroded on any regional scale. If erosion has occurred it has been limited to isolated ‘islands' which may or may not have protruded above the surface of the sea. Cores from anticlinal structures; such as are occupied by the Reed City, Coldwater, and Fork oil pools, show continuous depoe sition from Rogers City into Bell, so present anticlines mere not necessarily sites of emergence at that time" (Knapp, 1947). Even—fl —. r~. A“ fl.-. —— —- 41 Coldwater Oil Field The Coldwater oil field is located in the southwest quarter of Coldwater township (T.16 N., R.6 w.), Isabella County, Michigan. It is approximately 10 miles north and 14 miles west of the city of Mt. Pleasant in the west central part of the Michigan basin. The Coldwater oil field was discovered in August, 1944. The discovery well flowed 200 barrels of oil the first 24 hours from the Rogers City dolomite. The top of the "pay" in the Rogers City lies, in most wells, within 20 feet of the base of the overlying Bell shale. "A total of eighty-one producing wells and nine dry holes have been drilled with development substantially completed by the end of 1946. Subsequent to 1946, seven producing wells and two dry holes were drilled on the extreme edges of the field. By 1952 the cumulative pro- duction was 12,763,000 barrels of oil and 28,800,000 barrels cfi‘water and there were 69 producing wells" (Criss and Mc- Cormick, 1953). The regional dip is northeast and the steepest dips cfl'the Coldwater structure are along the northeast side of the field with slightly lesser dips toward synclinal re- entrants along the north and south sides of the field. The major axis runs NW-SE and a minor axis trends NE-SW. (See Map 2.) 42 The Rogers City is a secondary dolomite 30 to 35 feet thick in the Coldwater field; the Dundee is primary dolomite 200 feet thick (Criss and McCormick, 1953). "'Cores taken from two wells indicated no barrier to vertical fluid movement at the Dundee-Rogers City contact. Penetration of the Rogers City zone averaged 11 feet" (Criss and McCormick, 1953). LABORATORY PROCEDURE Methods Conventional chemical methods of determining nmgnesium and calcium content of limestones and dolomites are time consuming and tedious, with chemical methods in- volving precipitation and separation of the two constitu- ents in solution; whereas, staining methods using silver chromate, potassium ferricyanide or Lemberg's solution usually require the preparation of polished thin sections and detailed examination to determine the amounts of dolo- mite and calcite present (Keller, 1937; Douglas, 1944; and Clark, 1924). Spectrochemical and spectrographic analyses, although conducted with greater speed and at a low cost of operation, appear to vary in accuracy from 1.5 to 10 per cent error within a single set of data (Sloss, 1946; Anderson, 1954; Ahrens, 1950). G. Schwarzenbach (1946) and co-workers published in Helvetica Chimica Acta a new simple titration for the deter- nunation of water hardness.l This method consists of the k lThe'"theoretica1 hardness of water is the sum of the concentrations of all the metallic cations other than cations of the alkali metals, expressed as equivalent calcium car- bonate concentration. In most waters, nearly all of the hardness is due to calcium ion and magnesium ion. (Standard Methods , 1955). 43 44 Lee of ethylenediaminetetraacetic acid (commonly called versene or abbreviated EDTA) as a titrant for the sum of celcium and magnesium in water, using the dye known as Chrome Black T as an indicator. Schwarzenback (1947) applied this method of titration to the analysis of alkaline earths and other metals. Later, Botha and Webb (1952) used this same method for the deter- ndnation of calcium and magnesium in mineralized waters containing large concentrations of interfering ions. In tfie same year Cheng, Kurtz and Bray (1952) adapted this method to the determination of calcium, magnesium and iron in.1imestones without the tedious separation of the three elemenets before analysis. In an attempt to find the most recent modifications in the improvement of this method the author reverted back to the object of its original purpose--ana1ysis of water hardness. In the Zlatest; edition of Standard Methods for the Examination of Water, Sewage, and Industrial Wastes, (1955) published by the American Public Health Association, severa1"Compleximetric" or EDTA titration methods, modified from the original procedure for more accurate results, are given for: (l) the determination of total hardness of water (the sum of Ca and Mg ions) and, (2) for the determination of Ca ion content in the presence of Mg ions using ammonium purpurate as the indicator. The second method, as listed above, is recommended for the most accurate results (accurate to 5 parts per one 45 ndllion or an error of plus or minus .005 per cent) and vnth the advantage of analyzing for calcium in the presence cfi‘magnesium (Standard Methods, 1955). A photometric method was adopted by the author for tfie determination of magnesium with an accuracy of plus or nunus 1 per cent error and with the advantage of analyzing :hlthe presence of calcium salts, directly on the water sample (Standard Methods, 1955). The Phenanthroline-photometric method was used for the determination of the iron content with an accuracy of {nus or minus 1 per cent error (Standard Methods, 1955). The three methods used in the chemical analyses for calcium, magnesium and iron content of the limestone samples will be described here briefly since the procedure for each method is clearly outlined, step by step, in the Standard Methods manual. Samples are: Cable tool and rotary tool samples were used for analysis, Cable tool samples are quite satisfactory for use and unless the sample is very fine-grained a represent— ative portion can be selected megascopically. Samples cmtained by rotary tool methods are more difficult to work with due to the necessary separation of foreign material from the rock to be analyzed. The separation procedure 46 used by the writer was as follows: (1) every "mixed" sample has sieved, separating that portion between Tyler screens #20 and~#38 (0.58-0.83mm) which corresponds to Wentworth's "coarse sand," (2) each sample was size classification of examined by means of a binocular microscope with pieces of caving removed (shale has a tendency to cave into return Imud fluid, but it can be easily picked out). Regarding rotary well samples, R. M. Whiteside (1932) states: '"A sample of rotary cuttings containing less than 2X>per cent of cavings or re-circulated material is con- sidered as good workable quality." It is the opinion of the writer that there was considerably less than 20 per cent cavings in the "mixed" rotary samples. Sample Selection Samples which represented the top 20 feet of the Rogers City formation beneath the contact of the Bell shale were taken from each well. In the case of some wells 3 or llsamples, taken at 5-7 foot intervals, were necessary to represent the top twenty feet. Some wells were not repre- sented by samples for-the entire 20 foot section, but what— ever samples were available were analyzed. Each well was assigned a number and the samples from that well were assigned a letter, for example: Well #6, samples: 6a, 6b, 6c, and 6d. 47 Sample Preparation All samples were thoroughly washed with distilled water. Agitation by shaking and decantation of the wash water aided in removing rock dust or rotary mud adhering to the particles. Shale cavings and other foreign material were removed and all "junk" iron present was picked out by passing a magnet through the sample. Each sample was then thoroughly dried over a hot plate within a closed hood. Samples of 1.00 gram were weighed and placed in 250 nulliliter beakers (Banewicz and Kenner, 1952). Ten milli- liters of hydrochloric acid (1:1) and 15 milliliters of distilled water were added to each of the samples. This was evaporated to dryness, baked for approximately one hour, and allowed to cool. The residue was taken up with 3 milli- liters of hydrochloric acid (1:1) and 10 milliliters of distilled water. Each solution was then filtered, washed, and made up to 200 milliliters with distilled water. The samples were now ready for the chemical analyses. Calcium Determination EDTA Titration Methodl Reagents 1. EDTA titrant. Dissolve 48 grams of disodium dihydrogen ethylenediaminetetra acetate dihydrate lStandard Methods for the Examination of Water, Sew e, and IndustFIal Wastes (New York: Am. Pub. Health ASSOC') 955 3 p0 l o , 48 in 9600 milliliters of distilled water. Add 10.32 grams of NaOH. Standardize this solution against a standard calcium solution by titrating l milliliter of the standard calcium solution with EDTA titrant in the manner described under Calculations. Standard calcium solution. Dissolve 1.00 gram of reagent-grade calcium carbonate in dilute HCl, add 200 milliliters of distilled water and boil for a few minutes to expel C02. Cool and make up to 1 liter with distilled water in a volumetric flask. This standard contains 1.000 milligram CaCO3 equivalent in each milliliter. Indicator mixture. Ammonium purpurate (murexide) is used as the indicator.1 Suspend 50 milligrams of ammonium purpurate in 50 milliliters of ab- solute ethyl alcohol. Store in a dropper bottle and shake before using. The suspension is stable for at least a year. Sodium.hydroxide solution. Dissolve 80 grams of NaOH in 800 milliliters of distilled water; cool; and dilute to 1 liter. Essential Apparatus Pgocedure l. l 10 ml. microburette--graduated at 0.05 ml intervals 1 ml pipette 10 ml pipette 50 m1 pipette 250 m1. Erlenmeyer flasks NHHH Pipette a l milliliter aliquot of the dilute sample (1:200) into a 250 milliliter Erlenmeyer flask. Add 50 milliliters of distilled water. Add 1 milliliter of the sodium hydroxide solution and approximately 5 drops of ammonium purpurate indicator. Stir the solution and titrate with the standard- ized EDTA titrant. The end point is reached 1Eastman No. 6373 has been found satisfactory. 49 when the color of the solution changes from pink to purple. (The use of an electric stirrer during titration kept the solution uniformly mixed, thus increasin the accuracy of deter- mining the end point.) The color change at the end point is very subtle and requires some practice on the part of the analyst. Check the end point by adding 1 or 2 more drops of titrant; no further color change should occur. The titration must be completed within 5 minutes from the time of adding the NaOH. 4. Two determinations were made for each sample. The readings were within 0.05 milliliters of each other. The average of the two readings was used. Standardization of EDTA titrant with standard calcium solution The standard calcium solution prepared contains 1.00 milligram of CaCO per milliliter of solution. Nine and five—hundreds (9.05) milliliters of EDTA titrant were necessary to titrate, to the end point 10 milli- liters of the standard calcium solution diluted with 50 milliliters of distilled water. Titrating a dis- tilled water blank, 0.05 milliliters of titrant were used. The amount of titrant used on the standard CaCO3 solution then was 9.05 - 0.05 = 9.00 milliliters. EDTA titrant 10 mg CaCO per 9.00 ml 1.111 mg C CO3 per 1 m1 lEthylenediaminetetraacetic acid and its sodium salts form chelate complexes with metal cations. The calcium and magnesium complexes are colorless and the calcium-EDTA complex is more stable than the magnesium-EDTA complex. EDTA titrant combines with calcium before it combines with magnesium. At a pH of about 12 ammonium purpurate has a DUrple color. In the presence of traces of calcium its color turns to pink. EDTA is capable of extracting calcium from its purpurate complex and, thus, of restoring the purple color of ammonium purpurate. Magnesium does not Change at this pH. These facts permit the titration of calcium in the presence of magnesium (Standard Methods, 1955, p. 113). 50 Calculations Calcium as mg/liter CaCO 3 = ml of titrant x 1,000 x 1.111 ml of sample = 9.00 ml x 1,000 x 1.111 10 ml standard CaCO3 999.99 mg/ liter CaCO3 Calcium as mg/ liter Ca ml of = titrant Molecular Wt. Ca Equivalent Wt. of Calcium Molecular Wtf'CaCO 3 Equivalent Wt. of Calcium = 40.08 = .4004 100.09 equivalent 01 e mg equivalent wt. wt. of Ca X V um X of CaCO3 /'ml titrant m1 of sample used ml of titrant x .4004 x 1000 x 1.111 ml sample 9.00 ml x .4004 x 1000 x 1.111 10 m1 400.395 ml/lit Ca or .4004 mg/ml Ca Then 1 m1 of titrant = .4004 mg Ca Using 1 g of sample diluted to 200 milliliters then 1 m1 = 1 g = .005 g of sample 200 m1 Computation of per cent calcium If these procedures were followed in the analysis of a 1 m1 portion of a 1 g sample diluted to 200 m1 and 3.70 ml of titrant were used in the titration, then: m1 titrant x .4004 mg Ca/ml x volume =.mg Ca/ml 3.70 x .4004 x 1 ml = 1.4813 mg Ca/ml 1.4813 mg = .0014813 g 51 2. g of sample used : 100% :: g Ca : % Ca .005 g : 100% :: .0014813 g Ca : % Ca % Ca = 29.63 Magnesium Determination Two methods for the determination of magnesium are given in the manual of Standard Methods applicable to all natural waters. Magnesium can be determined by the gravi- metric method only after prior removal of calcium salts. It can, however, be determined in the presence of calcium salts, directly on the water sample by the "Photometric method." Both methods are applicable to all concentrations by the selection of suitable aliquots (Standard Methods, 1955). The method used is largely a matter of personal Ineference, but since it is unnecessary to separate the calcium from the magnesium before the analysis of the sample in the "Photometric method" this was adopted by the author. Photometric Methodl Pginciple When magnesium hydroxide is precipitated in ‘ffie presence of brilliant yellow, the dye is absorbed on the precipitate and its color changes from orange to bri ht red. A stabilizer is added to maintain the Mg OH)2 in colloidal suspension. Interference Interference from calcium and aluminum is avoided by raising the concentrations of these ions to a level where their influence is constant and predictable. lStandard'Methods, 1955, p. 135- 52 Essential Apparatus 1 [UMP-4mm Reagents Spectrophotometer (Bausch and Lomb Spectronic 20), used at 525 millimicrons, providing a light path of 2.5 cm. 100 m1 volumetric flasks 1 m1 pipette 4 m1 pipette 5 m1 pipette 20 m1 pipette Standard magnesium stock solution.1 Add 1.000 gram of rough turnings of pure magnesium metal, not less than 99.9 per cent Mg, to a 500 ml Erlenmeyer flask. Add 150 milliliters of dis- tilled water and 5.0 milliliters of sulfuric acid (1:1). Mix well, allow reaction to subside and boil 10 minutes. Cool; transfer to a 1 liter volumetric flask and make up to the mark. The solution should be water-white and crystal Clear. 1 m1 = 1.000 mg Mg Standard magnesium working solution. Dilute 100.0 ml of standard magnesium stock solution to 1 liter with distilled water. This solution is equivalent to 100 mg/'liter Mg. Aluminum solution. Dissolve 0.31 g A12(804) . 18H20 in distilled water and dilute to 1 lit r. Saturated calcium sulfate solution. Saturate distilled water with CaSOu and filter. Brilliant yellow solution. Dissolve 0.50 gram of solid dye (National Aniline Co., Color index No. 364 or equivalent) in liter of distilled water. Prepare freshly every 2 or 3 days. Sulfuric acid solution. Add 0.3 milliliters concentrated H2804 to 1 liter of distilled water. Sodium hydroxide solution. Dissolve 200 grams of NaOH in distilled water; cool; dilute to 1 liter. 1High purity magnesium is available from Dominion Magnesium Ltd., Suite 1505, 320 Bay Street, Toronto, Ont, (mnada. 53 8. Stabilizing solution-Colloresin LV. Suspend 1.00 gram of Colloresin LV in 100 m1 of distilled water by shaking. Place in a refrigerator over- night, and allow to reach the same temperature of other reagents before use. 9. Sodium sulfite solution. Dissolve 1.0 gram of anhydrous Na 803 in 100 ml distilled water. Prepare fresfily each day. Procedure l. Pipette 1 m1 of diluted sample (1:200) into a 100 ml volumetric flask (if sample is further diluted 20 m1 are used). 2. Add 1 m1 of sodium sulfite solution. 3. Add, in order, 1 ml H2804 solution, 20 m1 cal- cium sulfate solution, and 5.0 ml aluminum solution. 4. Bring volume to about 80 ml with distilled water and.mix. 5. Add 5.0 m1 of Colloresin LV, 2.0 m1 of brilliant yellow solution, and 4.0 ml NaOH solution. 6. Dilute to the mark; shake vigorously; and wait 5 minutes for full color development. 7. Compare photometrically within an hour against a blank prepared from distilled water and all of the reagents. Use selected, optically matched, 1 inch test tubes and adjust the difraction grating in the spectrometer to transmit light having a wavelength of 525 mmu. Set the instru- ment at 100% transmittance using this blank. §§andard Calibration Curve for Magnesium A standard curve should be drawn on single cycle semilogarithmic paper with the per cent trans- mittance plotted on the logarithmic axis and the concentration of magnesium plotted on the arithmetic axis. The curve should be drawn through at least 5 points corresponding to .01, .02, .04, .06, .08, and .10 grams of Mg per 100 milliliters made from 54 the dilute standard working solution of Mg. A new curve should be prepared for each batch of reagents. Calculations Results are read directly from the instrument in units of per cent light transmittancy through the colored sample. Referring to the standard cali- bration curve the concentration of the sample can be determined in grams of magnesium per 100 milliliters. % Mg = g Mg/lOO m1 g(read from calibration curve) m1 aliquot x g of sample/ ml of diluted original sample % Mg = grams of Mg/lOO grams of original sample Computation of Percentage Magnesium If these procedures were followed and in the analy- sis of the sample (dilution 1:200) per cent light transmittancy was read as 79% from the instrument then the Concentration of Mg in the sample per 100 milliliters is 0.046 g as read from the calibration curve for magnesium. %Mg = 0.046g/100 ml = 9.20% 1 m1 x .005 g Magnesium-Calcium'Ratios The ratio of calcium to magnesium may vary from 1.50 (in a normal dolomite) to infinity (in a pure limestone). 0n the other hand, the magnesium to calcium ratio will give results within well defined limits which can be readily applied to graphs and maps. The ratio of Mg to Ca can be calculated from the relative percentages as previously determined. g‘ 1Hawk, Oser and Summerson, "Relation between trans- nuttance and concentration'" Practical Physiological W: 12th ed. (1947), p. 469. 55 Example: Me = 9.20% Mg/Ca = 9.20 =O.3lO Ca = 29.63% 29.63 (See Table I for Mg/Ca ratios.) Iron Determlnation Phenanthroline Method1 (A Colorimetric Method) The Phenanthroline method has been used for many years for testing iron in a water supply and is known to he reliable, if interfering substances are absent. Known interfering ions are phosphates, chromium, copper, nickel, cobalt, zinc, mercury, silver, cadmium, bismuth, fluoride, molybdate, citrate, oxalate, tartrate, and some of the rarer metals. Complete chemical analysis of dolomites and limestones indicate none of the above named interfering ions (Pirsson and Knopf, 1949)- Egsential Apparatus 1 Spectrophotometer (Bausch and Lomb Spectronic 20), for use at 510 mmu providing a light path of l to 10 cm. 2 1 m1 pipette 2 10 m1 pipette 12 100 ml volumetric flasks 1 pH meter Note. All glassware must be acid-washed to remove iron oxide film. Reagents l. Hydrochloric acid. Set aside a supply of con- centrated HCl for this determination. Because lStandard‘Methods, 1955, p. 125. Procedure 10 56 HCl content varies from 35 to 38 per cent, the sodium acetate solution must be adjusted for the particular lot of HCl to be used. Sodium acetate solution. Dissolve 350 grams of NaC2H30 .3H20 in 500 ml. of distilled water and dilute 0 approximately 1 liter. Using conc. HCl and a pH meter adjust the pH of this solution to a value between 3.2 and 3.3. Hydroxylamine reagent. Dissolve 10 grams of NHQOH'H01 in 100 m1 of distilled water. 1,10 Phenanthroline solution. Dissolve 0.12 gram C12H8N2.H 0 in 100 ml of distilled water by stirring ang heating to 80°C ; do not boil. Standard iron stock solution. Use electrolytic iron wire to prepare the standard. Dissolve 0.2000 gram of wire in 20 ml HQSOu(1:5) in a 1 liter volumetric flask. Dilute to mark with distilled water. This stock solution contains 200.0 mg Fe/liter. Standard iron working solution. Pipette 5.0 m1 standard iron stock solution into a liter volumetric flask and dilute to mark with distilled water. This contains 10.0 mg Fe/liter. Then pipette 5.0 ml into a 1 liter volumetric flask and dilute to mark with distilled water. This contains 1.0 mg Fe/liter. Add 1 m1 of the dilute sample (1:200) that is to be analyzed to a 100 m1 volumetric flask. Add, in order, 1 m1 of hydroxylamine, 10 m1 of sodium acatate solution and 10 ml of 1,10 phenanthroline solution. Mix thoroughly and dilute to mark. Wait 15 minutes for color development. inst a Com are hotometrically within an hour aga blafik prgpared from distilled water and all of the reagents. Use selected, optically matched, 1 inch test tubes and adjust the difrggtéggthcf r tin to transmit light hav ng a wa 510 mmfi. Set the instrument at 100% transmittance using this blank. 57 Standard Calibration Curve for Iron A standard curve should be drawn on single-cycle semi-logarithmic paper with the per cent trans- mittance plotted on the logarithmic axis and the concentration of iron plotted on the arithmetic axis. The curve should be drawn through at least 5 points corresponding to .005, .01, .02, .03, .04, and .05 grams of Fe per 100 milliliters from the dilute Fe working solution. A new curve should be prepared for each batch of reagents. Calculations Results are read directly from the instrument in units of per cent light transmittancy through the colored sample. Referring to the standard cal- ibration curve the concentration of the sample can be determined in grams of iron per 100 milli- liters. %Fe = g Reg/100 ml (gead from calibration curve) ml aliquot x g of sample/ ml of diluted original sample Computation of Percentage Fe If these procedures were followed and in the analysis of the sample (dilution 1:200) the percent transmittancy was read as 53.0% from the instrument then the concentration of Fe in the sample per 100 milliliters is 0.0129 gram as read from a calibration curve for iron. %Fe = 0.0129 g/100 m1 = 2.58% 1 ml X .005 g - Results of Chemical Analyses Table I records the ninety-five well locations and information along with a summary of the chemical analyses Ofthe 250 samples for calcium, magnesium and iron. The nMagnesium to calcium ratios are also recorded in Table I. k lHawk Oser and Summerson, "Relation betweenltrans- mittance and’concentration," Practical Physiologic; fllemistry, 12th ed. (1947), p. 469. 58 These data were used in plotting and drafting lithologic ratio maps and for statistical interpretations vduch are presented in the following chapters. ‘( 59 TABLE 1 WELL DATA AND LOCATIONS l C Permit Well Name & Top of R. . No. Operator Location Elev. Formation 16861 Fate & Weis l5N-7W-27 1078.7 3838 Merrill Drilling SW5NW-SW Co. 4137 Gingrich #1 15N-7W-12 978. 3769 King Drilling W1/2-SE-SW 10043 McCormack #1 16N-8W-23 1072. 3840 Sun Oil Co. Sl/2-SE-SE 5109 Thrush #1 l6N-7W-25 997. 3790 Daily Crude Oil SW-NW-SE 16329 A. McNeely #1 16N-7W-3 1077. 3868 L. Rose NW—NW-NW 4650 Robart #1 l6N—7W—29 1042. 3815 Sun Oil Co. N1/2-NE-NW 6645 wm. Bongard #1 16N-7W-21 1033. 3821 Turner Petr. Co. Sl/2-NW-NE 9663 *Murray #1 16N-7W-5 1068. 3813 Sun 011 Co. Sl/2-NW-SW 2474 Fred Siegel #1 l7N-5W-26 897, 3888 Farwell Oil NW-SE-SE 252“ H. Fordyce #1 16N-5W-34 916. 3943 W. Hunter C-NW-NE 11722 *Cheadle #1 l6N-6W-33 970. 3738 Sohio Petr. Co. N1/2-NW-SE 5242 Stevens #1 16N-6W-13 1030. 3964 Keeler & SW—SW—NW Chatham Oil 1 Rogers City *- Producing Oil Wells —_¥ '60 TABLE 1--Continued Smmfle Feet below Pct. Pct. Pct. Mg/Ca No. top of R.C. Fe Ca Mg Ratio 1 0 - 4 1.50 15.62 30.50 1.953 2a 0 - 6 1.34 22.82 13.20 0.578 2b 6 -11 0.70 25.23 11.00 0.436 3a 0 - 3 2.36 10.66 24.00 2.251 3b 3 - 7 1.54 14.98 23.00 1.535 4a 0 -15 1.48 11.62 25.25 2.173 4b 15 -20 0.80 12.42 37.00 2.979 a 0 - 7 0.90 14.18 27.50 1.939 5b 7 -10 0.64 15.38 17.50 1.138 5c 10 -14 0.50 14.82 21.00 1.417 6 0 - 6.44 20.02 19.00 0.949 6: 3 - 6 2.70 12.18 23.50 1.939 6c 6 - 9 1.10 14.02 23.00 1.6 % 6d 9 -15 0.64 14.50 14.00 0.96 7 0 - 6 0.76 13.62 12.50 0.918 8 0 — 4 1.40 12.58 11.90 0.946 9 0 - 6 1.10 19.22 3.75 0.195 .768 10a 6 - 8 1.20 14.98 11.50 0 10b 8 -13 1.06 14.18 3.00 0.212 4.50 0.328 11a 13 -21 0.90 14.3% 5.50 0 377 11b 21 -26 0.58 1 . 47 0 650 110 25 -33 0.48 14.58 9. . 0 0.335 12 0 - 8 1.24 16.42 5.5 12% 8 -18 1.10 22.82 9.60 0-421 61 TABLE l--Continued 1 Permit Well Name & Top of R.C. No. Operator Location Elev. Formation 15964 J. R. Forbes #1 16N-6w—34 983.6 3775 I. Hartman SW-SE-SW 15796 J. M. Schafer #1 15N-5w-9 906.3 3859 Nottawa Oil SE-SE-NE 12088 Dent #1 15N-6w-5 987.9 3740 Sohio Petr.Co. N1/2-NE-NW 11858 *Diehl #1 15N~6W—29 1047.6 3768 Chartiers Oil N1/2-SW-NW 3725 Lintmuth #32 15N-9W~35 1092.0 3659 Taggart Bros. NW-NW-NW 9608 Wood #1 15N-7W-2 1020.4 3804 C. W. Teater N1/2-Nw-NE 982 Grove #1 15N-7W-14 1021.0 3792 Benedun-Trees Nw-Nw-SE 17892 Floyd Bouck #1' 15N-8w-11 1038.0 3741 Rex 011 & Gas N1/2—NW-NE 14430 Emma Smith #1 15N-8w-10 1047.6 3738 Pure Oil Co. Nw—Nw—NE 11756 V. Minkel #1 14N-8w-7 1027.4 3628 Chapman Oil Co. Sl/E-SW-Sw 19610 G Snyder #1 14N . - w-6 0 IMO 011 C0. SE-Sg-SE lOO7°6 369 3648 Gorr #1 l6 N-4 - Chartiers 011 SE-NEYsS 960°C 3951 ———~-.—_.___ 62 TABLE l--Continued Sample Feet below Pct. Pct. Pct. Mg/Ca No. top of R.C. Fe Ca Mg Ratio 13 0 - 8 1.68 13.38 10.50 0.785 14a 2 - 6 0.80 13.38 6.25 0.467 14b 6 - 9 0.80 13.62 13.25 0.973 14c 9 -16 (1.64 15.62 9.75 0.624 14d 16 -21 0.70 14.18 10.00 0.705 15a 3 - 6 1.32 12 98 7.00 0.539 15b 6 - 9.5 1.30 13.77 7.87 0.572 16a 0 - 4.5 1.18 14 02 7.87 0.561 16b 4.5 -10.5 1.14 14.98 6.75 0.451 17a 1 - 3 1.80 19.78 4.30 0.217 17b 3 - 8 1.40 25.23 4.08 0.162 18a 0 - 7 1.26 24.98 3.80 0.152 180 7 -15 1.72 28.59 7.16 0.250 18c 15 —23 1.34 26.19 4.60 0.176 19a 3 - 8 2.60 17.78 1.60 0.090 19b 8 -10 2.90 17.62 1.40 0.079 19c 10 -14 1.84 24.82 2.28 0.095 190 14 -20 1.84 23.78 11.40 0.479 20 0 - 7 2.96 12.01 21.00 1.749 21a 0 _ 4 4.16 14 98 21.62 1.443 21b 4 -10 2.86 24.42 20.40 0.835 21c 10 -18 1.80 22.98 5.00 0-218 22a 0 -10 4.70 13.21 5-87 0,444 22b 10 -20 3.70 12.41 3.75 0.302 .669 23a 4 - 8 3.28 8.97 6.00 0 23b 8 -14 2.30 11.77 “-55 823% 23c 14 -19 1.78 6~17 3°00 ' 24 0 - 1 0.30 24.58 4.34 0-177 63 TABLE l--Continued 1 Permit Well Name & Top of R.C. No. Operator Location Elev. Formation 17389 D. Knox #1 17N-6w-35 1087.7 4055 J. W. Sturman SE-SE-SE 2601 Davy & McLachlan 17N-8W-35 1106. 3911 #1-Sun 011 Co. C-NW—NW 16335 Lloyd #1 17N-7w-34 1038. 3795 Roosevelt Oil NW-NW-SW 16139 State-Garfield 17N-6w-33 1074. 3956 #1—Sam Hindman El/2-NW-NE 16938 Frank Smith #1 16N—7w-4 1055, 3818 I. Hartman NW-NW-NE 15437 Williams #1 16N-7w-24 1073. 3886 J. E. Bauer NW-NW-NW 19195 J. Stockwell #1 16N-8W-22 1086. 3854 McClure Oil NE-NE-SE 17277 D- Church‘"B"#1 l6N-8W-2 1188. 3959 Sun 011 Co. Sl/2-NE-Nw 17151 Sparks #1 16N-8w-15 1143. 3905 Chapman Oil NE-SE-SE 15606 Brewer-Smith #1 l6N-8W- 1 Sohio 011 Co. NE-Nw-SSS 1015'. 377 3428 Waters #1 l6 N-8W-28 8 Taggart & Rowe NW-SW-SE 1100' 3 55 64 TABLE l--Continued A T 1 Pct. Mg/ba F et below Pct. Pct. 1 8611:1136 tip of R.C. Fe Ca Mg Rat o 64 0.180 -10 0.56 20.18 3. 3;: 18 -16 0.56 20.98 5.90 0.281 0.433 - 0.50 22.18 9.60 366 g -l; 0.46 27.39 10.60 0.387 4.83 0.410 27a 0 - 2 1.30 11.7; 4.13 0.308 27b 2 — 5 1.56 13.3 38 0.541 27 5 - 7 0.60 13 62 2'85 0.198 278 '7 - 9 (1.68 :14.41 . .70 0.712 28a 0 - 4.5 2.00 10.8% 7.88 0.607 28b 4 5 - 7.5 1.32 12.9 10 75 0.746 28c 7.5 -12.5 0.86 14.4% 6.00 0 412 280 12.5 -37.0 0.80 l . - 0.511 29a 0 - 6 1.46 13.§1 g.g6 0.180 29b 6 - 9 1.70 12. “.20 0 305 290 9 -13 1.00 13.77 . 2.30 0.177 _ 5.50 12.98 0.826 38% g - 8 2.18 13.6% 11.23 0 720 800 8 -13 1.68 14.5 . 0 80 13 77 9.17 0-622 - ' ° 0.2 81: 8 -1§ 0.82 13.38 3.50 6 0.22 32a 0 - 3 2.10 18.17 3.38 O'iig _ 1.20 . . 0. 8:: 1% 4:: 0.64 23.62 10.60 15.80 1.617 ‘ 2'50 9‘77 80 1.876 8%: 18 ’8? 1'90 11'6§ 2214.08 0.291 11 -14 1.20 14.08 “.50 0.358 838 14 -19 0.86 12.5 0 408 1* 0 - 5 2-2“ 1“: 3:22 oizae £48 5 -10 1.60 14.0 6 O O 486 8 1-96 1338 7:20 0.375 35a g -17 1.10 20.05 13.75 0.609 8%: 17 :24 0.80 22-5 65 TABLE l--Continued Permit Well Name & Top of R.C. No. Operator Location Elev. Formation 16577 Lake Prop.,#1 16N-7w-36 950.7 3736 Collin & Walton NE-NW-NW 12725 L. Harper #1 16N-7W-3l 1094. 3846 Sun Oil Co. N1/2-SW-NE 19283 Ralph Unit #1 16N—7W-8 1079. 3812 Gulf Refining Co. NE-SW-NW 3357 Hoffman #1 l6N-7W-9 1029. 3793 Daily Crude Oil NW-SW-SE 3516 Cook #1 16N-5w—15 928. 4005 McClanahan Oil NW-NW-SE 1235 Wilson #1 16N-5w-12 945. 3995 F. L. Maire NE-SE-NE 12635 Gamble #1 l6N-5W-23 924. 3970 J. V. Wickland NW-NW-NE 19287 G. Hamilton #1 16N-5w-19 983. 3887 Neyer et a1. NW-SW-SE 19394 Powell #3 16N-5w-30 913, 3802 Neyer et a1. SE—SE-NE 19050 Powell #2 16N-5w-3o 971. 3870 J. Neyer NW—SW-NE 66 TABLE l--Continued : A 1 w L _i i _. l . Swmfle Feet below Pct. Pct. Pct. Mg/Ca No. top of R.C. Fe Ca Mg Ratio 36a 0 - 5 1.90 19.62 3.00 0.153 36b 5 -10 1.00 21.78 6.00 0.275 36c 10 -15 1.36 22.82 4.30 0.188 36d 15 -20 1.20 22.98 2.76 0.120 37a 0 - 5 2.06 18.58 3.40 0.183 37b 5 -11 0.98 23.22 3.30 0.142 37c 11 -17 0.50 24.18 7.16 0.296 37d 17.-26 0.64 24.98 5.74 0.230 38a 0 - 5 3.00 4.16 4.40 1.058 38b 5 -10 1.20 12.81 4.55 0.355 38c 10 -15 1.24 14 02 10.00 0.713 38d 15 -20 2.66 8.01 6.00 0.749 39a 0 - 8 2.16 4.96 4.40 0.887 39b 8 -13 0.80 13.85 3.75 0.271 39c 13 -19 0.70 14.98 4.13 0.275 40a 0 - 4 1.72 16.82 2.00 0.119 40b 4 -12 1.70 18.98 2.00 0.105 40c 12 -17 1.14 21.22 4.60 0.217 41a 0 — 5 2.44 18.18 4.83 0.265 41b 5 — 8 1.50 21.38 9.60 0.449 41c 8 -11 0.80 22.02 9.40 0.427 41d 11 -13 1.10 30.99 1.40 0.045 42a 0 - 5 1.24 18.58 3.86 0.208 42b 5 - 9 1.04 21.38 2.60 0.122 42c 9 -15 0.68 23.22 5.40 0.233 42d 15 -20 0,76 24 18 3.00 0.124 43a 0 _ 6 1, 0 12.58 2.00 0.159 43b 5 -12 0,32 14.18 2.63 0-185 44a 0 - 2 2.00 9.37 4.00 0-“27 44b 2 - 4 1.90 9.21 3.45 O 375 45 ' _ 2.00 12 01 8.95 0.745 L15: (8) -18 850 12.142 5.10 0.41611 45c 10 -13 5.28 14.41 8.13 8°§32 45d 13 -20 1.50 15.38 5.10 . 67 TABLE 1--Continued Permit Well Name & Top of R. C. No. Operator Location Elev. Formation 18645 Powell #1 16N-5w-30 944.9 3835 J. Neyer N1/2—NE-NE 12512 E. Maybee #1 15N-5w-12 837.8 3770 Merrill Drlg.Co. NE-SE-SE 12779 Frank Bowee #1 15N-5w-23 837.5 3767 Collin & Walton SE-NE-SE 3706 Hicks #1 15N-6w-35 915 4 3640 M. Smith sw-sw-Nw 12956 Carr #1 15N-6w-25 906.0 3688 Bell & ATHA NW-NW-SW 19606 J. a M. Vogel #1 15N—5w-10 900.3 3856 Merrill Drlg.Co. NE-NE-NE 6038 Tillman #1 15N-5w-23 855.7 3821 Teater NE-SE-NW 15781 L. Huber #1 15N-5w-36 832.0 3725 Basin 011 C0. NW—SE-NE 19865 Grewerre & c11ff 15N-5W-19 884.1 3693 Est. #1 SE-NW-NW Leonard 011 5453 Hauck #1 lSN-SW-l 8 0 0 791 Gulf Ref. Co. sw-Nw—sw3 5 ° 3 TABLE l--Continued 68 Swmfle Feet below Pct. Pct. Pct. Mg/Ca No. top of R.C. Fe Ca Mg Ratio 46a 0 - 2 1.90 11.21 7.50 0.669 46b 2 ~ 4 2.90 10.81 7.50 0.694 460 4 5 2.58 11.21 2.20 0.196 47a 0 ~ 4 3.66 14.02 5.10 0.364 47b 4 ~ 9 4.50 14.41 1.50 0.104 470 9 ~12 1.34 14.58 3.45 0.237 48a 6 ~11 0.74 14.41 5.10 0.354 48b 11 ~14 0.60 14.82 1.50 0.101 480 14 ~18 0.01 13.77 2.20 0.160 49a 0 ~ 5 0.76 14 18 1.75 0.123 49b 5 ~ 9 0.74 14 02 1.60 0.114 490 9 ~13 0.48 14.82 1.75 0.118 49d 13 ~17 0.30 14.41 5.40 0.375 50a 0 ~ 5 0.70 12.17 1.84 0.151 50b 5 ~12 0.92 10.01 1.50 0.150 500 12 ~19 0.68 12.98 3.75 0.289 500 19 ~24 1.40 10 01 1.28 0.128 51a 0 ~ 0.70 12.81 1.70 0.913 51b 5 ~16 (3.56 13.62 8.40 0.617 52a 0 - 3.5 1.62 11.62 6.16 0.530 52b 3.5 ~12.5 (3.64 13.62 1.10 0.814 520 12.5 ~17 5 0.80 13.21 5.40 0. 09 53a 0 ~ 6 1.14 11.21 5.60 0.500 530 6 ~11 1.04 12 58 5.60 8.435 53c 11 ~18 0.94 14.18 5.40 .3 84 54a 0 - 5 0.94 14.58 5-60 0‘3 54b 5 ~10 0.82 14.82 4.88 g-ggg 54c 10 ~13 0.70 14.82 g. 0 0 423 54d 13 ~18 0.66 14.18 .0 . 0-3 .133 1115 212 8:27 5b ~ . - - 55c 9 ~12 1.20 14.82 8.20 0.553 69 TABLE l-~Continued __=. ma...— P it Well Name & Top of R. C. fig? Operator Location Elev. Formation 4862 *Ryckman #1 15N-6W-33 1003.0 3701 Pure 011 C0. NW—SW-NE 4220 Lawens #4 15N-5W-24 838. 3776 J.V.Wickland Dev. NW-SW-SE 4255 F. Cotter #1 15N~5W~11 838. 3799 C. Weller NE-NE-NE 4663 McClintic B-8 15N—6W-35 952. 3653 Lane Oil Co. sw-sw-sw 3713 Merrihew #1 15N~6W-28 1005. 3736 Turner Petr. Co. SE-SE—NW 6369 *Walch #1 15N~6w-18 996. 3745 Borough SW-SW-NW 19842 State-Sherman 15N~6w~21 925. 3671 '"QN" ~#1 SE-NE-NE Brazos Oil Co. 19265 Woodin #1 16N-6W-35 962. 3757 Leonard Oil Co. NW-SW-SW 17561 J. 1. Bean #1 15N-6W-8 1005. 3775 Chartiers 011 C0. SW-NW-SW 162““ A- Dent #1 15N~6w-6 977. 3731 J- Neyer N1/2-SE~SE 12936 *Hatcher #1 15N-6W-6 998.5 3754 Pure 011 C0. Nl/2-NE-SE 12378 *1. B. Wilson #2 16N~6w-30 1054.5 3806 Sohio Petr. Co. Nl/2-SW-NE TABLE l--Continued 70 Sample Feet below Pct. Pct. Pct. Mg/Ca No. top of R.C. Fe Ca Mg Ratio 56a 0 3 1.10 14.41 12.60 0.874 56b 3 ~ 4 0.80 14.41 11.40 0.791 560 4 ~ 5 0.68 15.38 10.60 0.689 572 0 ~ 3 1.06 14.82 11 40 0.769 57b 4 ~ 9 0.90 14.98 12.20 0.814 570 9 ~16 0.66 14.58 12.40 0.850 58a 0 ~ 5 4.04 9.21 3.50 0.380 58b 5 ~12 3.24 10.81 10.25 0.948 580 12 ~14 1.78 13.77 11.20 0.813 59 0 ~ 4 0.98 14 98 12.20 0.814 60a 0 ~12 2.16 10.41 10 50 1.009 60b 12 ~19 1.86 9.61 7.87 0.819 61a 0 -10 2.16 16.02 5.90 0.368 61b 10 ~15 2.04 17.00 3.40 0.200 62a 0 ~ 6 0.98 13.77 9.20 0.668 62b 6 ~12 1.18 12.98 17.92 1.381 620 12 ~22 0.68 14.02 6.16 0.439 23 O -1 3.31 2'28 121: 3b 1.5 ~4.5 1.9 10. . . 630 4.5 ~7.5 1.90 10.17 4.76 0.468 64a 0 - 4 2.96 9.37 4.76 0.508 64b 4 ~10 1.04 7.77 2-20 0-283 64c 10 ~15.5 1.10 13.21 5.00 0.37% 64d 15,5 .205 0.68 13.38 ”.25 0-3 65a 6 ~11 1.24 8.01 5.60 0.699 65b 11 ~16 1.30 17-22 7°34 0°“26 66 0 - 5 2.00 10.81 2.20 0.204 0.813 67a 0 7 0.80 13.77 11.20 67b 7 - 9.5 0.76 14.82 12°68 2.637 670 9.5 -l2.5 0°70 14'58 l ' ' 71 TABLE l-—Continued Permit Well Name & Top of R. C. No. Operator Location Elev. Formation 12911 *Mina DeLong #1 l6N-6W-20 998.1 3748 Mogul 011 C0. s1/2~ss~ss 18337 M. Drallette #1 15N-6W-13 908.0 3707 C. Glavin NE-NW-SW 10131 Gringrich #1 15N-6W-7 943.9 3702 Gordon Oil Co. Wl/2-NW-NW 4741 *Buetler #2 15N-6W-33 1012.0 3710 Laue Oil Co. SW-NW-NE 12187 *Tower #1 15N-6W-5 991.7 3747 Pure Oil Co. N1/2-SE-NW 12464 *0. Dague #3 16N-6W-30 1021.9 3785 Sohio Petr. Co. Nl/2—NW-SE 12681 *E. L. Chapman #2 l6N-6W-30 1054.8 3808 Sohio Petr. Co. S1/2-NW-NE 12182 *E. Chapman #1 l6N-6W-30 1031.9 3768 Sohio Petr. Co. Sl/2-NE-NE 11639 *Conley #2 16N~6w-28 975.0 3750 Sohio Petr. Co. Nl/2-NW-NE 11220 *Rogers #1 l6N-6W-29 1016.5 3732 Cities Service N1/2-SW-SE 12078 *State #1 16N-6W-32 995.0 3757 Cities Service Nl/2—SW-SE “83 AndePSOH #1 15N-9W-l4 1013.0 3610 Big Rapids Oil NE-NE-NE TABLE l--Continued 72 Sample Feet below Pct. Pct. Pct. Mg/Ca No. top of R.C. Fe Ca Mg Ratio 68a 0 ~ 2 2.04 10 01 4.00 1.399 68b 2 ~ 9 1.34 12.17 8.60 0.707 680 10 ~11 0.92 13.21 8.40 0.636 69a 0 ~ 4 1.50 11.37 6.16 0.542 69b 4 - 9 0.98 12 98 6.56 0.505 690 9 ~16 0.68 14.58 7.34 0.503 69d 16 ~20 0.64 14.18 5.90 0.416 70a 0 - 7 0.80 23.39 9.00 0.385 70b 7 ~14 0.80 21.22 8.60 0.405 700 14 ~22 0.52 23.78 4.08 0.172 71 17 ~22 1.14 12.42 3.86 0.311 72a 0 ~ 2 2.16 11.77 5.00 0.425 72b 2 5 1.40 14.41 5.40 0.375 73a 0 4 1.18 13.62 6.30 0.463 73b 4 7 0.90 14.18 7.80 0.550 74a 0 ~ 3. 1.60 9.37 3.00 0.320 74b 3.5 - 7. 0.80 13.38 4.92 0.368 75a 0 4 0.60 14.41 5.28 0.366 75b 4 ~ 6 0.52 15.62 6.30 0.403 750 6 9 0.60 14.82 5.90 0.398 76a 0 ~ 6 0.64 14.18 5.60 0.395 76b 6 ~ 9 0.56 13.62 6-56 0.322 760 9 -14 0,30 9.21 4.25 0. 76d 14 ~19 0.40 14.82 5.00 0.337 77a 0 ~ 4. 1.60 9.37 2.75 0-293 77b 4 - 7 1.32 12.42 1.82 8.142 770 7 9 0.80 13.77 6.5 . . 75 78a 0 - 1.00 12.01 3.30 0 2 78b 3 - 3, 0.74 13.21 6.56 O “97 79 0 ~20 0.98 18-58 ”'92 0'265 [til .1 blit‘ \1 73 TABLE l--Continued Permit Well Name & Top of R. C. No. Operator Location Elev. Formation 4075 Hutchins #1 15N-7W-8 1002.2 3717 Daily Crude Oil NW-NW-NW 9806 Helmer #1 l5N-8W-17 1048.2 3765 Gordan 011 C0. Sl/2—NE-NE 11182 *E. s. Cole #1 16N-6W-32 971. 3695 Sohio Petr. Co. N1/2-SW-NE 11218 *Cole #3 16N~6w-32 995. 3737 Sohio Petr. Co. N1/2-NW-SE 11183 *Durkee #1 l6N-6W-32 983. 3704 Sohio Petr. Co. Nl/2-NE-NW 10997 *Cummings #4 16N-6W-32 974. 3688 Sohio Petr. Co. Nl/2-NE-NE 12087 *H. Durkee #1 l6N-6W-31 973. 3726 Sohio Petr. Co. N1/2-NE-SE 11523 *Dague #A-l l6N-6W-3l 1002. 3757 Sohio Petr. Co. N1/2-NE-NE 12827 *Cheadle #1 l6N-6W-33 970, 3744 G.Hanners Nl/2-NE-SE 11524 *F. Sisco #1 l6N-6W- 2 720 Sohio Petr. Co. N1/2-NE-3g 97 ' 3 11321 *W. Sisco #1 16N-6W- 6 6 2 Sohio Petr. Co. Nl/2—NW-gg 97 . 3 9 111“? *Coe #1 l6N-6W- 4 Sohio Petr. Co. N1/2—NW-ga 979' 37 5 74 TABLE l--Continued Sample Feet below Pct. Pct. Pct. Mg/ba No. top of R.C. Fe Ca Mg Ratio 80a 0 - 7 0.92 21.62 3.00 0.139 80b 7 ~14 0.80 20 98 3.86 0.184 81 0 ~20 1.14 16.02 1.60 0.100 82a 0 ~ 8 1.44 13.62 3.64 0.267 82b 8 ~11 0.68 12 81 5.00 0.390 82c 1 ~13 2.32 10.41 9.47 0.910 83a 0 ~ 4 1.64 13.38 11 20 0.837 83b 4 ~ 8 0.98 14 82 12.90 0.870 830 8 ~12 0.76 14 41 14.80 1.027 84a 0 ~ 3 2.98 10.17 4.92 0.484 84b 3 ~ 9 3.20 9.77 13.25 1.356 85a 0 ~ 5 1.34 12.98 12 40 0.955 85b 5 ~10 1.54 13.77 12.00 0.871 850 0 ~17 1.64 12.42 11.40 0.918 86a 0 1 1.64 13.38 11 00 0.822 86b 1 ~ 6 1.00 14.18 13.52 0.953 860 6 ~13 0.64 14.58 14.30 0.981 87a 0 ~ 4 1.44 11.62 12 40 1.067 87b 4 - 7 0.80 14.41 13.10 0.909 88 0 - 2 0.44 15 38 12 00 0.780 8 0. 0 15.22 12 00 0.788 835 3 ~ 6. 0.56 14.18 11.70 0.825 444 90a 0 - 5 0.90 14 18 6.30 0. 90b 5 - 9 0-98 14.02 5'08 8'57; 900 9 ~14 0.46 14.18 5.2 . . . 73 1 0 ~ 4 1.78 10.97 3.00 0 2 81: 4 - 9. 0-7“ 14.41 3'23 8'876 910 9,5 -14, 0.52 14.58 . . \I 75 TABLE 1--Continued Permit Well Name & Top of R. C. No. Operator Location Elev. Formation 11337 *R. 0. Dague #2 16N-6W-29 1016.1 3749 Sohio Petr. Co. N1/2-NW-SW 11092 *Rodgers #1 16N-6W-29 1002.2 3719 Sohio Petr. Co. N1/2-SE-SE 11446 *E. L. DeLong #1 16N-6W-29 993.3 3755 Sohio Petr. Co. N1/2-NE-NW 11242 *Watkins #2 16N-6W-29 984.1 3711 Sohio Petr. Co. N1/2-SW-NE ¥ 76 TABLE 1~~Cont1nued Sample Feet below Pct. Pct. Pct. Mg/Ca No. top of R.C. Fe Ca Mg Ratio 92a 0 ~ 6 1.44 10.97 5.60 0.510 92b 6 -12 0.88 14.41 5.90 0.409 92c 12 -17 0.60 15.38 4.08 0.265 93a 0 ~ 5 2.44 7,21. 9.20 1.276 93b 5 - 9 0.76 13.77 6.30 0.458 93c 9 ~14 0.66 13.38 5.28 0.395 94a 0 - 2 1.64 14.18 5.40 0.381 94b 2 - 3.5 1.24 14.41 4.60' 0.319 958 O - 3 0.68 14.02 4.60 0.328 95b 3 - 6 0.80 12.81 7.16 0.559 950 6 9 0.68 14.41. 3.30 0.229 ., .t_,_ _ _ ~. _—-_._n—_. _ INTERPRETATION OF DATA Structural and Chemical Interpretation Structure Contour Map A structure contour map was plotted and interpolated for all available data on the top of the Rogers City-Dundee formation for the 400 square mile area studied. The structural interpretation was based exclusively upon samples for the ninety-five wells studied; and well logs and steel line readings for all the other wells drilled in the area which penetrated the top of the Rogers City limestone, but for which there were no samples available. No interpretation for the Rogers City-Dundee was made upon data from over— . lying formations. Map 2 (See pocket) is the structure contour inter- pretation on a scale of one inch to the mile and with a 1? contour interval of 25 feet. §£ructural Interpretation The interpretation of the structure contour map for the area is relatively straight forward. A strong northwest— Southeast structural alignment occurs across the Fork, Cold- water and Sherman townships. It is along the axis of this fold that the three major producing oil fields of the area are located. The Fork oil field (Fork township) and the 77 78 Coldwater oil field (Coldwater township), situated on the major fold, both have a minor axis in a northeast-southwest direction which may line-up with, or tend to parallel, the structural high occurring in the northern half of Martiny township (T.15 N., R.8 w.). The Shaman 011 f1e1d (Sherman township) also lies on the axis of the major northwest- southeast fold. Another northwest-southeast fold of a smaller magni- tude cuts across the northeastern portion of Nottawa township. A small closure on this fold results in the Beal City oil field. A small portion of a third northwest- southeast fold cuts across the northeast corner of the area studied (1.16 N., 11.4 11.). A deep synclinal trough lies in the northeastern portion of Gilmore township and trends parallel with the k major structural alignment of the area studied. The regional dip of the entire area is to the north- east with major folding in a northwest-southeast direction 1? and a cross-folding of minor importance in a northeast- southwest direction. Four major oil fields exist in the area with several minor and one-well fields. Léthologic Ratio Maps The ratio of magnesium to calcium provided data for a lithologic ratio map showing the relative degree of The dolomitization at the locations of samples analyzed. rs values of the ratios for the top five feet of the Roge 79 City formation were first plotted and lines of equal ratio values were drawn providing a geometric contour interval. (Map 3--See pocket.) An average of the Mg/Ca ratio values was then deter- mined for each well analyzed and plotted to show the degree and pattern of dolomitization for the top 20 feet of the Rogers City limestone. (Map 4-~See pocket.) Interpretation of Lithologic Ratio Maps The lithologic Mg/Ca ratio maps show the areal variation in the degree of secondary dolomitization over the area studied. Comparing Map 3 with Map 4 a vertical variability can be observed. The degree of dolomitization appears, in general, to increase on the apices of the major folds. There is a definite relation, in general, between the degree of dolomitization and the magnitude of the structure. The Structural trend and the trend existing in the contouring 0f the ratio values show a close correlation in general. There is an exception to this observation in the Southeast portion of Chippewa township and the southwest Portion of Fork township. Here is an area with a high H H degree of dolomitization lying in a structural low with There are a number of reasons which (1) fracturing no production of oil. may be proposed to explain this situation: and faulting, or original porosity, may have led to 2 Secondary dolomitization in the trough area, 0? ( ) .1. #1. ~..— nuv I. 80 dolomite-formation may have been complete leaving no porosity for the accumulation of oil; or (3) there was porosity in the secondary dolomite but unfavorable con— ditions for the accumulation of oil. The degree of dolomitization which appears, in general, to be related to the minor cross-folding shows a stronger trend than does the actual structural alignment. This may be due either to fracturing and fissuring along the axis of the minor folds, or to an original porosity in the limestone formed along the apices of the folds leading to later dolomitization. (Compare Map 2 with Maps 3 and 4.) Comparing Maps 3 and 4, there would appear to be no Significant difference in the vertical variation of dolo- mitization between the upper five feet of the limestone fermation and a total over-all average of the top twenty feet, thus, giving no evidence, one way 0? the other, as to ascending or descending mineralizing waters; assuming there were such waters. goldwater Oil Field A more detailed study was made of the Coldwater oil field with a chemical analysis of twenty-five samples Selected from the producing structure. This close-up SPUdy was made to compare the degree and pattern of dolomit- ization locally as related to a well defined and prolific Structure. 1? / . L (“J ‘.> 81 Structure contour map.--A structure contour map was plotted and interpolated on the available data for the Coldwater oil field. (See Map 5.) The regional dip of the field is to the northeast and the steepest dips of the Cold- water structure are found along the northeast side of the field. The major axis of the field has a northwest-southeast alignment and a minor axis trending northeast-southwest. The Coldwater structure has a closure of 40 to 50 feet on the Rogers City formation. Lithologic ratio map.--The average Mg/Ca ratios for approximately the top 10 feet of the Rogers City limestone were plotted for each of the 25 wells in the field to show the relative degree of dolomitization and its possible relationship to that of the Coldwater structure. (See Map 6.) Interpretation of lithologic ratio map.--The litho- loglc'Mg/Ca ratio map shows the areal variation in the degree of secondary dolomitization within the top 10 feet of the Rogers City limestone of the Coldwater structure. The pattern of dolomitization coincides closely with the structure alignment of the field. The degree of dolo- mitization increases on the apices of the major and minor folds, with a more pronounced trend appearing along the minor axis than that evident on the structure contour map. An exception to the coincidence of structure and degree of dolomitization is the re-entrant angle in the 1r 3. - (~13-b . -_._ . .. .—— .__—.—- 0 MAP 5 COLDWATER OIL FIELD snucrua: couroun ROGERS CITY FORMATION (o) I._ __.. ON! MILK CONTOUR INTERVAL l 25 FIIT If. C) 84 pattern of dolomitization on the north side of the field. This area of reduced secondary dolomitization of the Rogers City limestone lies parallel to the major axis of the structure and may be due to a decrease in fissures or tension cracks on the lower flank of the major axial fold. Vertical configuration and_pay zones.--Cross sections were drawn to a scale of 4 inches per mile horizontally and 1 inch per 20 feet vertically, to show the configuration of the top of the Rogers City formation and the pOSition of the reservoir within it. The pays are shaded in the drawings and represent actual reservoir Space as determined from the drilling records of producing wells and dry holes (Knapp, 1950). Cross section A-A' (Figure 2) shows the east-west configuration and pay zones across sections 31, 32, and 33 (Coldwater township). Cross sections B-B‘ (Figure 3) and C-C‘ (Figure 4) give the north-south configuration of the field through sections 29, 32, (Coldwater township) and 5 (Sherman township) and sections 21 and 33 (Coldwater township), respectively. Core analysis records show that lateral permeability exceeds the vertical permeability due to horizontally bedded dense and porous zones in the Rogers City formation. The configuration and pay zone pattern, as observed in the above cross sections, make it quite "evident that the Coldwater reservoir is not an open, freely-connected system 85 poem ow \ non“ H oadom HdOauuob oaaa H \ abroad 3 endow Haanouauom / /lu sllllll‘ \III..\ . ZO-h‘flhuzut «6 0O. .52.... cunt: 4(2.0.¢O CUh(3 OI. \\ un<fl >h.0 “CHOOK O¢F0a h.2.4 .rnuunnnnnnunu . w aux nadudooa you n as: com .doaumauom undo upoMom on» a“ wagon mom can ousposupu no doaaouswumnoo mqasonn vfiowh ado umpmuufloo on» mo qoauooonnnouo courtesan Asomma .Aquu .m.a nouwdv ..4rd aofipooaunuouo no .N unawah two :Cv.&...vrrrl. vth-‘II. I; 86 poo». om \ n63 H odaom 103.81, 03.: H \ e303. 3 383 Russian \ - ll\ CON“ 2...... I. Itlllllillxuwedlxu: Illl... llllIllIIll\ \ I 'I/II" ( um‘fl >550 m¢N00¢ 20.h<¢hm Othu. 0N5 Comma index .md. .333 ..mA defiance-anon". mo godpdooa you n as: com .qoaadauom undo anaMom.onp a« mason use was onwaoshpu no 33633.33 9:365 one; 26 noausoaoo on» no 53007330 55315.82 .n 93mg 87 pooh 0N \nog .n 3.28m Haoaonmb 0.33 H \ waged.“ # ondom Handouwuom \ oosu- xocn 924m cuh<3 I: ILV\.I_I \ J. 38 . / \ Il‘ uMCo >h.c ncueoc Ila 00h“. 10”“. Abomma .nndnu .m.a houndv ..ouo aadaoonlmwouo no .0 dogwood” non m. mm: 0mm .qodamauomfiaao nucMom on» 3 mono». a and 0.333: 0 no nowadusmadoo Nadsonm adorn do 353300 on» ma negooununouo Ansonunouoz .4 35m; 88 of spaces" (Knapp, 1950). The lenticular-like chambers are governed to a certain extent by bedding, whereas, many of the porous zones (secondary dolomitized limestone) are due to a haphazard arrangement of vertical fractures consisting of large, open and continuous fissures and small, short and completely filled ones (Knapp, 1950). A combined study of the cross sections of the top 10 feet of the Rogers City formation and the lithologic Mg/Ca ratio map of the Coldwater field gives a fair picture of the reservoir system and pay zone configuration of the Coldwater oil field. Statistical Interpretation Statistical Methods The statistical interpretations made in this study of the laboratory results were based upon the methods of “analysis of variance;" "Basically the analysis of variance is a simple arithmetical method of sorting out the compon- ents of variation in a given set of results" (Goulden, 1952). The complete analysis of variance actually performs a dual role. First, there is the sorting out and estimation of the variance components,1 and secondly, it provides for tests of significance. ¥ lThe term "component" is used here with reference to the integral parts, or component parts of the variation within the set of results. 89 A detailed description of the method and calculations for an analysis of variance is not given here but can be found in most statistics texts (Goulden, 1952; Dixon and Massey, 1951). The "F" ratio was used for the tests of significance in the analysis of variance; principles and computations of which are given in all statistics textbooks (Goulden, 1952; Dixon and Massey, 1951). Statistical Interpretation of Data I. Producing "high" versus non-producing;"low".-- USing the Mg/Ca ratios from nineteen producing wells selected on "high" structures as compared to the Mg/Ca ratios of nineteen non-producing wells selected on "low" structures, a combined analysis of variance was made pertaining to the variance components: (1) between wells, (2) between pro- ducing or non-producing structures, (3) between levels of O to 5 feet and 5 to 10 feet from the top of the Rogers City formation, and (4) the interactions between structures times levels and levels times wells. (See Table 2.) See Figure 5 for the complete analysis of variance of the above situation. Conclusion.--There is a highly significant difference (beyond the 1% level) between the averages of the Mg/Ca ratios of the thirty~eight wells considered. Although statistically significant there would appear to be no im— portant significance geologically as uniform dolomitization of the limestone would not be expected. 90 TABLE 2 DATA FOR AN ANALYSIS OF VARIANCE Producing "High" Versus Non-Producing "Low" Magnesium/Calcium Ratios 4— 1 Producing "High" Well Numbers Non-Producing'"Low" 0.328a 11 2 0.578 0.377b — 0.A36 0.561 16 19 0.090 0.u51 0.087 0.833 56 21 1.4u3 0.689 0.835 0.813 67 23 0.669 0.991 0.387 1.399 68 26 0.u33 0.707 0.387 0.320 7m 28 0.712 0.368 0.607 0.366 75 3h 0.u08 0.401 0.232 0.395 76 36 0.153 0.482 0.275 0.329 82 37 0 183 0.910 0.142 0.837 83 41 0.265 0.870 0.u38 0.h84 84 M2 0.208 1.356 0.122 0 955 85 A9 0.123 0.871 0.114 0.888 86 50 0.151 0.981 0.150 1.067 87 51 0 913 0.909 0.617 0.4uu 90 53 0.500 0-357 0.4u5 0.273 91 54 0.384 0.455 0.270 0.510 92 58 0.380 0.409 0.9u8 1.276 93 64 0.508 0.458 0.283 0.328 95 69 0.542 0.559 0.505 12.406a Total 8.643a 12.601b Total 7.280b 0,658 Average 0.419 a0 to 5 foot interval b5 to 10 foot interval 91 PRODUCING'"HIGH" VERSUS NON—PRODUCING "LOW" Source of Sums of Variance D.F.l Squares Mean Square F Total 75 7.771 Wells 36 4.924 0.1368 2.880** Types2 1 1.089 1.089 22.930** Levels3 1 0.021 0.021 0.AA2 Types x Levels 1 0.028 0.028 0.589 Levels x Wells 36 1.709 0.0M? Figure 5. Analysis of variance 1Degrees of freedom 2Producing'"High" and Non-Producing "Low" Structures 3Depth of 0-5 feet and 5-10 feet **Highly significant beyond the 1% level The highly significant difference (beyond the 1% level) between the averages of the Mg/Ca ratios of the pro— ducing "high" structures and non—producing "low" structures would tend to show, statistically, a relationship between increasing dolomitization and producing wells on "high" structures. The mean of the Mg/Ca ratios for the producing “high" was 0.658 and for the non-producing "low" 0.419. There was no statistical difference between the averages of the Mg/Ca ratios of the upper 0 to 5 feet of the formation as compared to those of the lower 5 to 10 feet. There was no significant interactions between types times levels or between levels times wells. This would imply that "there is no difference in the means of the Subgroups after the cell means have been ‘adjusted‘ 92 for" well, type and level effects (Dixon and Massey, 1951, p. 138). II. Producing;"high" versus non-producing;?high."-- USing the Mg/Ca.:ratios .from ten producing wells randomly selected on "high" structures as compared to the Mg/Ca ratios of ten non-producing wells selected on "high" struc- tures, a combined analysis of variance was made pertaining to the variance components: (1) between wells, (2) between producing and non-producing wells both on "high" structures, (3) between levels of 0 to 5 feet and 5 to 10 feet from the top of the Rogers City formation, and (A) the interactions between types times levels and levels times wells. (See Table 3.) See Figure 6 for the complete analysis of variance of the above situation. Conclusion.-- Statistically there is no significant difference between the averages of the Mg/Ca ratios of the wells located on "high" structures. This would appear to indicate that the degree of dolomitization along the "high" structures is more uniform than between "high" and "low" structures. There is no significant difference between the averages of the Mg/Ca ratios of producing and non-producing wells all located on "high" structures. The mean of the ME/Ca ratios for the producing wells is 0.590 and for those of the non-producing wells is 0.558. The relationship as 93 TABLE 3 DATA FOR ANALYSIS OF VARIANCE A. PPOdUC1n8'"HiSh" Versus Non-Producing "High" B' Non‘PPOdUCing HHigh" Versus Non-Producing "Low" Magnesium/Calcium Ratios Producing "High" Non-Producing "High" Non-Producing'"Low" (Random) (Random) Well N .2Ei_ .183. _£EL. 0. Ca Well No. Ca Well No. Ca 76 0. 395a 27 0.359’01 53 0 . 500a 0.482b 0.370b 0.446b 56 0.833 29 0.511 54 0.384 0.689 0.180 0.270 91 0.273 38 1.058 37 0.183 0.455 0.355 0.142 68 1.399 39 0.887 36 0.153 0.707 0.271 0.275 82 0.329 45 0.745 51 0.913 0.910 0.488 0.617 75 0.366 47 0.364 64 0.508 0.401 0.104 0.283 86 0.888 62 0.668 23 0.669 0.981 1.381 A 0.387 90 0.444 63 1.039 42 0.208 0.357 0.467 0.122 16 0.561 65 0.699 41 0.265 0.451 0.426 0.438 95 0.328 70 0.385 69 0.542 0.559 0.405 0.505 Totala 5.816 6.715 4.325 Totalb 5,992 4.448 3.484 Average 0.590 0.558 0.390 a0 to 5 foot interval b5 to 10 foot interval 94 PRODUCING‘"HIGH” VERSUS NON-PRODUCING'"HIGH" J _ Source of Sums of Variance D . F . Squares Mean Square F Total 39 3.584 Wells 18 2.081 0.1156 1.685 Levels 1 0.109 0.1090 1.589 Types 1 0.010 0.0100 0.146 Types x Levels l 0.150 0.1500 2.187 Levels x Wells 18 1.234 0.0686 Figure 6. Analysis of variance lProducing'"High'" and Non-Producing'"High" structures determined statistically between the possibility of a pro- ducing well or a non-producing well depends on factors other than the degree of dolomitization and structure alone. A high degree of dolomitization on a favorable structure, although a good indication, geologically, of a producing well, is not an exclusive confirmation. There was no significant interaction between types and levels or levels and wells. III. Non-producing "high" versus non-producing :112w."--Using the Mg/Ca ratios from ten non-producing wells selected on'"high" structures as compared to the Mg/Ca ratios of ten non-producing wells randomly selected from ‘"low" structures, a combined analysis of variance was made pertaining to the variance components: (1) between wells, (2) between non-producing "high" and "low“ structures, 95 (3) between levels of 0 to 5 feet and 5 to 10 feet from the top of the Rogers City formation, and (4) the interactions between types times levels and levels times wells. (See Table 3.) See Figure 7 for the complete analysis of variance of the above situation. NON-PRODUCING'"HIGH" VERSUS NON-PRODUCING "LOW" Source of Sums of Variance D.F. Squares Mean Square F Total 39 3.078 Wells 18 1.639 0.0911 1.894 Levels 1 0.242 0.2420 5.031* Types1 1 0.282 0.2820 5.863* Types x Levels 1 0.050 0.0500 1.040 Levels x Wells 18 0.865 0.0481 Figure 7. Analysis of variance 1Non-Producing‘"High" and Non-Producing "Low" structures *Significantly different at the 5% level Conclusion.--Statistically there is a significant difference (at the 5% level) between the averages of the MS/Ca ratios of the upper 0 to 5 feet and the 5 to 10 foot dePths. The means of the Mg/Ca ratios for non-producing wells on "high" structures at 0 to 5 feet and 5 to 10 feet are 0.67 and 0.44, respectively; the means of the Mg/Ca ratios for non-producing wells on "low" structures at 0 to 5 feet and 5 to 10 feet are 0.43 and 0.34, respectively. 96 This comparison, as based upon 20 non-producing wells, would not appear to be of any geological significance. The significant differences (at the 5% level) be- tween the averages of the Mg/Ca ratios for the non-producing “high" and non-producing "low" structures would tend to support the belief of a direct relationship of'"high" struc- ture to increasing degree of dolomitization. The mean of the Mg/Ca ratios for the "high" structure is 0.558 and for the "low" structure is 0.39. There is no significant interaction between types times levels or between levels times wells. IV. '"High" versus "low" structure.--Using the Mg/Ca ratios from nineteen wells selected randomly from "high" structures as compared to the Mg/Ca ratios of nineteen wells randomly selected from’"low" structures, a combined analysis of variance was made pertaining to the variance Components: (1) between wells, (2) between "high‘and "low" structures regardless of production or non-production, (3) between levels of 0 to 7.5 feet and 7.5 to 15 feet from the top of the Rogers City formation, and (4) the inter- actions between types times levels and levels times wells. (See Table 4.) See Figure 8 for the complete analysis of variance of the above situation. 97 TABLE 4 DATA FOR AN ANALYSIS OF VARIANCE ‘"High" Versus "Low"--Magnesium/Calcium Ratios '"High" Well Numbers ‘"Low" 1.939a 5 2 0.578 1.278b 0.436 0'328 11 6 1.439 0.377 1 303 0'305 0.421 0'707 38 14 0.720 0°731 0.624 0.887 39 18 O 152 0.271 0 250 0'578 ”5 19 0.085 0.448 0.287 O 234 47 25 0.180 0.171 0.281 1.009 60 28 0.660 0'819 0.579 0.200 0 720 0.668 62 35 0.486 1.381 0 375 0.813 67 40 0.119 O 991 0.105 0.385 70 41 0.357 0-395 76 43 0,159 0.472 O 185 0.293 77 48 0.354 0.312 0.131 O 874 83 50 0.150 1.027 0.289 0.888 86 58 0.380 0.981 8.792 0.401 0 57 , O 365 9 0.850 0.510 92 69 0.542 0.409 0.505 1.276 93 80 0.139 0.427. 0.184 _‘_ ‘I2.8 a Total 8.128 11.333b Total 8.709 0.639 Average 0.443 a0 to 7.5 foot interval b7.5 to 15 foot interval 98 .HHIGHH VERSUS “LOW" Source of Sums of Variance D.F. Squares Mean Square F Total 75 10.177 Wells 36 8.045 0.2235 6.024** Types1 1 0 .727 0 .7270 19 . 59 6** Levels 1 0.012 0.0120 0.323 Types x Levels 1 0.058 0.0580 1.563 Levels x Wells 36 1.335 0.0371 Figure 8. Analysis of variance l'"High" and'"Low" structures **Highly significant beyond the 1% level Conclusion.--The difference between the averages of the Mg/Ca ratios of the 38 wells is highly significant @eyond the 1% level). This would have no significance geologically as uniform dolomitization would not be expected over this area. The highly significant difference (beyond the 1% level) between the averages of the Mg/Ca ratios, or degree of dolomitization, between the well samples from'"high" structures and those of "low" structures is of geologic importance. It would appear, from statistical evidence, that there is a direct relationship between the magnitude 0f structure and the degree of dolomitization. In general, the greater the relief of structure the greater the degree ‘ .l .n of dolomitization. The mean of Mg/Ca ratios for the high was 0.639 and for the "low" was 0.443. (See Table 4.) 99 There was no significant interaction between types times levels or between levels times wells. V. Producing "high" versus non-producing'"low" in iron content.-—Using the percentage iron content from nine- teen producing wells selected on "high" structures as compared to the percentage iron content of nineteen non- producing wells selected on "low" structures, a combined analysis of variance was made pertaining to the variance components: (1) between wells, (2) between producing and non-producing structures, (3) between levels of 0 to 5 feet and 5 to 10 feet from the top of the Rogers City formation, and (4) the interactions between types times levels and levels times wells. (See Table 5.) See Figure 9 for the complete analysis of variance of the above situation. Conclusion.--There is a highly significant differ- ence (beyond the 1% level) of the average iron content between the wells, between the 0 to 5 and 5 to 10 foot intervals or levels, and between the producing "high" and the non-producing "low” structures. The iron content is higher in the non-producing "low" structures with a mean ." ." 0f 1.62% as compared to 1.18 % in the producing high The 0 to 5 foot interval from the top of the five structures. formation is consistently higher in iron than the next foot interval. The mean iron content 0f the top 5 feet 100 TABLE 5 DATA FOR AN ANALYSIS OF VARIANCE Producing'"High" Versus Non-Producing "Low" Percentage Iron Content Producing'"High" Well Numbers Non-Producing'"Low" 8:888 11 2 8:88 1.18 16 19 2.60 8:88 67 23 3:88 1:88 68 26 8:38 1.60 74 28 2.00 8.28 75 34 2.2121 .. 3. 12% 1.44 82 37 2.06 2:63 83 41 (2.3% (3:22 84 42 2.2% 1:38 85 ”9 8:78 8:88 86 50 8:88 8:88 87 51 8:88 8:88 90 53 1:88 8:78 91 5“ 8:88 8283 92 58 8:88 8:88 93 6“ 8:88 8:38 95 69 8:88 777 88:88? 828:} 38:88 1.18 Average 1.62 a0 to 5 foot interval b5 to 10 foot interval 101 for the "high" and "low" structures is 1.64% while that of the next five foot interval for the combined "high" and “low" structures is 1.16%. PRODUCING'"HIG'" VERSUS NON-PRODUCING'"LOW" IRON CONTENT Source of Sums of Variance D.F. Squares Mean Square F Total 75 55.10 _ Wells 36 41.76 1.160 8.529** Types1 1 3.79 3.79 27.87 ** Levels 1 4.44 4.44 32.65 ** Types x Levels 1 0.22 0.22 1.60 Levels x Wells 36 4.89 0.136 Figure 9. Analysis of variance 1Producing'"High" and Non-Producing'"Low" structures **Highly significant beyond the 1% level There is no significant interaction between types times levels or between levels times wells. There would appear to be a decrease in the content of iron with an increase in the degree of dolomitization in the light of the statistical results. ORIGIN OF DOLOMITE IN THE ROGERS CITY LIMESTONE A number of possibilities exist as to the origin of the dolomite within the top twenty feet of the Rogers City Limestone. The contention of some geologists that an uncon- formity exists at the top of the Rogers City formation and the base of the Bell shale, if true, could possibly be the basis for an explanation of the dolomitized limestone. R. B. Newcombe (1930) in his studies in western Michigan proposed that an unconformity exists because of the erosion of the Dundee beds and because of the non-deposition of the lower part of the Traverse group and the Bell shale. '"This Middle Devonian unconformity at the base of the Traverse group," he explained, "amounts to a westward progressive overlap by which the Bell and Dundee are unrepresented in the southwestern part of Michigan;" One kind of evidence Newcombe-(1930) offered to support the contention for this unconformity was that "the existence of an erosion surface is shown by dolomitization, character of porosity, and features of a pre—Traverse topographyg" This erosion sur- face, he stated, "was due to a sudden drop in sea level which revived the streams, made the sea more muddy, and led 102 103 to extensive erosion of the mantle of Dundee and Monroe beds" (Newcombe, 1930).‘ Ehlers and Radabaugh (1938) supported this theory with their study of the Dundee in Presque Isle County, Michigan. There, they stated: ‘"The contact of the Rogers City limestone with the overlying Bell Shale is discon- formable; the effects of erosion of the Rogers City lime- stone prior to the deposition of the Bell shale are well illustrated by solution channels, crevices and small caverns all subsequently filled with the Bell shale“ (Ehlers and Radabaugh, 1938). K. K. Landes (1951) stated that "emergence followed the deposition of Dundee and Rogers City strata and sub- sequent erosion stripped these rocks from the southwestern corner of Michigan and again exposed the Detroit River group at the surface." If the top of the Dundee were exposed throughout the entire southern peninsula of Michigan, then the formation of an erosion surface could result in the highly porous zone (Rogers City formation) beneath the contact of the younger Bell shale. The solution channels and cavities within the limestone would allow easy passage to ascending waters at the time of dolomitization, possibly at the time of, or after, the period of folding late in the history of the Michigan basin. If the central portion of the Michigan basin was not entirely exposed the Rogers City formation may be the 104 result of an eroded and redeposited limestone as a clastic sediment which in turn may have resulted in a more porous rock that was easily dolomitized later during folding of the beds in the basin. The theory of leaching might be applied as an alter- native to that of the replacement theory in this instance. “Both calcium carbonate (CaC03) and ferrous hydrocarbonate (Fe(HCO3)) are more soluble in ground waters, commonly a carbonic acid solution, than the magnesium carbonate (MgCO3); thus, they are subject to leaching" (Mellor, 1932). The removal of the calcium and ferrous carbonates gives rise to a concentration of the magnesium carbonate. It has been the view of many geologists that dolomites might have resulted from surface or marine leaching in this manner. The theory of leaching might explain the possibility of a more rapid removal of the calcium and iron from the fractured and fissured anticlines and little or no leaching in the troughs or synclines, but it would not explain the consistent decrease in the iron content from the top of the formation downward regardless of structure. Core analyses and well samples show no apparent break between the Rogers City formation and the contact of the overlying Bell shale (Knapp, 1950). If this be the case, and in the light of the present study, it would appear that with the folding of the sedimentary beds minor frac— tures and fissures were developed throughout the central. 105 basin. Secondary dolomitization of the limestone formation probably took place in areas of circulating ground waters, possibly ascending at the time of dolomitization from lower depths through older, regional dolomites (Detroit River and Dundee) and carrying magnesium from those rocks. The possibility as to why the dolomitization is confined largely to the upper part of the limestones may be due to the presence of the overlying Bell shale which might partially block the ascending solutions so that they spread out and moved laterally in the upper part of the limestone. The upper-most portions of the limestones would be the apices of the anticlinal folds and may explain the relationship of structure to degree of dolomitization. Also, more tensional cracks and fissures would tend to form on the folded anticlines than in the synclinal troughs. The iron content of the limestone formation exists in the form of a carbonate. '"The carbonates of iron and manganese--frequently enter replacing the magnesium car- bonate (of dolomite) and grade to ankerite" (Dana, 1951). A replacement of one~third of the Mg atoms by Fe does not change the character of the dolomite crystalline structure. Normal dolomite (CaCO3-MgCO3) may readily grade into ankerite (2CaCo3.MgC03.FeCO3). Minerals that may be classed as ankerite have in general the same mode of occurrence and associations as dolomite. As the indices of dolomite (o = 1.68 and e = 1.50) increase with an increase of iron 106 or manganese it is difficult to distinguish it optically from ankerite (o = 1.72 and e = 1.53) (Dana, 1951). It would appear, from all available evidence, that the magnesium replaced the calcium by solutions ascending by means of the fractures and fissures concentrated in the anticlinal structures. 0n the other hand, the ferruginous waters descending from overlying formations rich in iron may have concentrated in the trough-like depressions and replaced the Mg atoms with Fe atoms giving rise to a ferrous dolomite or possibly an ankerite. It should be noted, in closing, that the samples analyzed vary in iron content from 0.46% to 4.16%. This variation of less than 4.00% may be so insignificant as to warrant little attention in consideration of the theory of the origin of the Rogers City dolomite. SUMMARY AND CONCLUSION General Summary The rapid and accurate methods described in this paper for the determination of calcium and magnesium con- tent of carbonate rocks make it possible to run routine analyses of a large number of samples. The methods used were adopted by the author from Standard Methods for the Examination of Water, Sewage, and Industrial Wastes, pub- lished by the American Public Health Association, 1955, for the determination of the calcium, magnesium, and iron, content in water hardness tests. The error encountered in the chemical analyses ranged from plus or minus .005% for the calcium test to plus or minus 1% for the magnesium and iron tests. The above-mentioned techniques were used to analyze dolomitic limestones from the Rogers City formation of the central Michigan basin area. The Rogers City-Dundee for- mation, normally a marine limestone, is found in many places to be an extremely porous dolomite. Production is generally limited to these dolomitic zones in fields producing oil from the Rogers City formation. It is the nature and origin of these dolomitic zones which were the concern of this paper. 107 108 The preparation of lithologic Mg/Ca ratio maps is an ideal means to depict the lateral variation in the degree of dolomitization over the area studied. A comparison of structural maps and Mg/Ca ratio maps make it possible to observe actual relationships between structure and degree of dolomitization; whereas, comparison of Mg/Ca ratio maps determined for different depths of the Rogers City formation allows one to note vertical variation in the pattern of secondary dolomitization. The simultaneous correlations and comparisons of several variables both laterally and vertically, which could not be diagramed readily in three dimension, were compared by the statistical method of the analysis of variance. Statistically, combinations of variables can be analyzed for possible relationships that would be impossible or im- practicable to produce on maps. Conclusions The comparison of structural and ratio maps of the Rogers City limestone and the Coldwater oil field reveals, in general, a significant relationship between the struc- ture and the degree of dolomitization as indicated by the Mg/Ca ratio. There would appear to be a direct relation- ship both regionally and locally between "high" structure and an increase in the degree of dolomitization. One exception to this relationship was observed in the comparison of the structural and ratio maps. An area 109 of locally dolomitized limestone did not coincide with a structural "high" but was located in a structural trough or'"low." Unfortunately, then, the discovery of a body of locally dolomitized limestone does not insure finding gas or oil. It has been found elsewhere that local dolomites are non-porous, or that they are so situated structurally that no suitable trap for oil accumulation exists and therefore are non-productive. These facts were recognized by Orton (1888), who pointed out nearly seventy years ago, that in the Trenton dolomite fields of Ohio and Indiana a combination of porosity and favorable structural position was necessary for commercial oil and gas accumulation. Lacking any further evidence, it would seem that unfavorable structure may be the cause of non-production in this area of locally dolomitized limestone. Upon comparison of the Mg/Ca ratio maps for the top five feet of the Rogers City limestone with the average ratios of the top twenty feet there would appear to be no significant relationship or pattern of dolomitization with changing depths. The same conclusion was arrived at statis- tically, showing no significant difference in the pattern or variation of dolomitization between the top five feet and the next five feet, or between the top 7.5 feet and the next 7.5 feet. In this respect, there is no evidence for, or against, the possibility of ascending or descending solutions which may have caused the dolomitization of the limestone. 110 The results of the statistical comparisons were as follows: 1. There is a highly significant difference between the Mg/Ca ratios of the producing wells on ”high" structures, as compared to those of the non- producing wells on "low" structures. Expressing a "producing" well in terms of "porosity," there is a relationship between porosity and degree of dolomitization. There is no significant difference between the Mg/Ca ratios of producing wells and non-producing wells all on "high" structures. The degree of dolomitization is high for both producing and non-producing wells. Therefore, there is either little or no porosity in the replacing dolomite or other factors are responsible for the non- productive nature of the wells. There is a significant difference between the Mg/Ca ratios of non-producing wells on "high" structures as compared to those on"low" struc- tures. The degree of dolomitization is much smaller in troughs, or "low" structures, as compared to the structures of greater magnitude. There is a highly significant difference between the Mg/Ca ratios of "high" structures as com- pared to those of "low" structures regardless of producing or non-producing wells. 111 There would appear to be a direct relationship, in general, between magnitude of structure and degree of dolomitization. Although there is a relationship between degree of dolomitization and porosity it is no simple and direct relation- ship which would exist in an ideal case when all porosity is caused by dolomitization. The lack of perfect correlation is probably due to the existence of some pores or fractures prior to dolomitization. 5. There is a highly significant difference in the iron content between the producing wells on "high" structures and the non-producing wells on "low" structures. The iron content is consis- tently greater on "low" structure with a minimum of secondary dolomitization. 6. There is a highly significant difference between the iron content of the top five foot interval as compared to the next five foot interval of the Rogers City formation. The top five feet of the formation contains a greater per cent of iron than does the next five foot interval re- gardless of structural relief. 0n the basis of the thirty-eight wells analyzed statistically on percentage of iron content it would appear that the ferrous solutions were descending from overlying formations with a tendency to concentrate in the troughs or 112 synclinal structures replacing the Mg atom with an Fe atom in the dolomite crystalline structure. The resulting secondary replacement is a ferrous dolomite with the even- tual possibility of grading into the mineral ankerite. The »concept of descending ferrous solutions would explain the decrease in per cent iron content from the top of the Rogers City formation downward. However, the variation of less than 4.00% in the iron content of the samples analyzed statistically may be insignificant for a regional consid- eration and thus warrant little or no attention. The magnesium to calcium ratio in limestones is a very useful geologic tool. It is especially useful in porosity studies of dolomitized limestone formations. The rapid and accurate techniques used in this study can enable geologists and petroleum engineers to make the Mg/Ca ratio determination a routine analysis. Statistical studies may enable them to predict porosity of carbonate rocks. Statis- tical studies may also show the relationship between porosity and dolomitization for many limestones, which have been reported as lacking such relationship (Chilingar and Terry, 1954). Ratio determinations may also be useful in locating dolomitized structures or trends of structural highs in areas of little structural control. The Mg/Ca ratios should aid in locating and following dolomitized zones either along faults or in areas not related to structure. 113 Lithologic Mg/Ca ratio maps may facilitate the pre— diction of cross-folding in the Michigan basin which is not as apparent on structure contour maps. The author believes that extensive studies of sec- ondary dolomitized zones in limestone formations by accurate chemical analyses, detailed structural contouring, careful interpolation of lithologic Mg/Ca ratio maps, and statistical ‘analyses of resulting data will provide a sound foundation for a better understanding of secondary dolomitization and its relationship to structure and porosity of limestone formations such as the Rogers City. SUGGESTIONS FOR FURTHER STUDY For a complete analysis of the relationships existing between secondary dolomitization and porosity and magnitude of structure in dolomitic limestone formation of the central Michigan basin the following suggestions are made: 1. A systematic plan of sampling and analysis of the entire Rogers City formation of Michigan, or any other dolomitized limestone formation with detailed structural contouring and lithologic Mg/Ca ratio maps. 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