'vz'é " , :i .— 5 k V L'lfff'c.“ 't ‘ u .5 .. ' 13g. (JCI - ‘ . . <¢;c%2\’~‘?‘=* tgr-‘iiii‘zfln‘ ”f4” “z 7 Ifq‘i%*?v-.¢ 2‘ g . v.4“. , .‘ ..y\‘:.' \i ." "1 k" -‘.’n‘>33 VFW. ‘~§\'%(‘5 ‘ . . l - I!" ‘4'? {my Mv -. . Way 1- I . ’J‘" " 5‘|:‘.stt. 'c})_.\‘ 1 '1. » ”f‘ .n«~ . '.\ t. ”S. 3? - 31-; N? *3” JAE-5:»; A 2% \- v' ’ ‘Qns‘ ‘ 3’ f 54‘ . «s», m;- mus-:33: , .. W _... - . ._’ “v"? ¢P44w-' TE'W" "Lawfz ’ JON ‘.". a. r ‘ ,.rur‘ Am: _ J____ ___ _ ‘J. fir??? . is f: 3 95‘? I 33 ”$4; 3‘.st fun?“ ‘ .. .-Ii'.‘f‘L~.-;I. gm :0! 0129 HIGAN STATE UNIVERSITY LIBRARIES“ llllllllllllilili'illllll llgllllil || 2‘ 3 1293 00582 0323 LIBRARY V Michigan Stat. University This is to certify that the dissertation entitled Dolomitization and Porosity evolution presented by Michael A. Miller has been accepted towards fulfillment of the requirements for Doctoral degree in Geology l ”(MAW 1 Major professor 6/ 1 3/ 88 Date MS U is an Affirmative Action/Equal Opportunity Institution 0-12771 PLACE IN RETURN BOX to remove this checkout from your record. TO AVOID FINES return on or before date due. DATE DUE DATE DUE DATE DUE l | l % J l MSU Is An Affirmative Anion/Equal Opportunity lnetltutlon m‘ ---- DOLOHITIZATION AND POFIOSITV EVOLUTION 5!! Michael A. Miller A DISSERTATION I Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DDCTDFI or PHILOSOPHY Department of Geology I 988 ABSTRACT DOLOI‘IITIZATION AND POFIOSITY EVOLUTION By Michael A. Miller Dolomite rock texture, and therefore its porosity, is controlled by the interplay of factors that influence reaction kinetics. These factors include: 1) the surface area of the substrate, 2) the saturation state of the solution, 3) temperature, 4) substrate mineralogy, and 5) the role of inhibiting ions. Dolomite porosity is also affected by the flux of bicarbonate through the system in that this influences the amount of dolomite cement that can be precipitated. In the Trenton dolomites (Michigan Basin) and the Sero Domi dolomites (Aruba, NA), the surface area of the substrate has a control on the resultant porosity of the dolomite. The dolomitization of a finely crystalline (high surface area) limestone, resulted in dense dolomite nucleation and a dolomite with porosities similar to, or lower than, the host. Dolomitization of a more coarsely crystalline (low surface area) limestone, resulted in less dense dolomite nucleation and a dolomite with porosities higher than the host. In the Trenton Formation dolomites, the flow direction for the dolomitizing fluid can be inferred from the distribution of the dolomite and trace element gradients. The change in fluid chemistry of the dolomitizing solution across the study area had no significant influence on the resultant porosity of the dolomites. Limestones and dolomites with similar textures from the Sero Domi Formation and the Eniwetok Atoll were studied to assess the role of bicarbonate flux on the porosity evolution of the dolomites. It was determined that the f lux of bicarbonate through the sediment was not a limiting factor in the porosity evolution of these dolomites. AKNOWLEDGEI‘IENTS This research was partially funded by both the National Science Foundation (EAR B2 14106) and the Department of Geological Sciences at Michigan State University. I wish to thank Eugene Shinn and the USGS at Fisher Island Station for the use of the drilling equipment on Aruba, NA. The government of Aruba and the Aruba Mining Company were also most helpful with equipment and support. A special thanks to Total Petroleum who granted the use of the Trenton cores and supplied the porosity and permeability data. Sampling of the Eniwetok core was granted by the Smithsonian Institution, with sampling directed by Warren Blow. Phil Koro of Schlumberer logging company was also helpful with the interpretation of the fracture identification log. A special thanks to my thesis advisor Duncan Sibley for his support. I would also like to thank the other members of my committee Dave Long, Mike Velbel and Tom Vogel. Thanks to all my fellow students who made my tenure at MSU a memorable experience. I would especially like to thank, Tim Flood PhD, Greg Giles, Nadine Romero, Jim Mills, Bill Sack, and Jerry Grantham for their support. Thanks to the various geochemistry types who helped so much with the collection of the trace element data and an occasional rod hockey game especially, Tim Wilson, Dale Rezabeck and Nancy Fegan. I would also like to gratefully acknowledge the help and support of Robert Hayes of the MDNR. As always, I would like to thank my parents Robert and Dorothy Miller for their unmitigated moral and financial support. Finally, I would like to thank my wife and best friend Beth for her unerring support through the past five years. TABLE OF CONTENTS ACKNOWLEDGEMENTS . . . . . . . ii LIST OF TABLES . . . . . . . . vii LIST OF FIGURES . . . . . . . x INTRODUCTION . . . . . . . I PREVIOUS WORK . . . . . . . . 3 MODEL RELATING SUBSTRATE SURFACE AREA AND SATURATION STATE OF THE SOLUTION TD DDLDMITE PDRDSITY . . . . . . 5 Model For Dolomite Porosity . . . . 9 Reactant Surface Area in Nature . . . 16 Substrate Surface Area Affects (Examples) . . 19 Ranges of Solution Chemistry in Nature . . 21 Solution Chemistry Affects (Examples) . . 23 METHODS . . . . . . . . . 25 OBSERVED AFFECT S OF SUBSTRATE SURFACE AREA AND SATURATION STATE OF THE SOLUTION TO DOLOI‘IITE POROSITY . . . . 27 The Ordovician Trenton Formation Jackson County, Michigan . . . . 2? iv TABLE OF CONTENTS (Cont'd) Relationship of the Trenton Dolomites to Fractures. Discussion of Substrate Surface Area Affects Discussion of Solution Chemistry Affects Pliocene Sero Domi Formation Aruba, Netherlands Antilles Discussion of Substrate Surface Area Affects BICARBONATE F LUIt Pliocene Sero Domi Formation Aruba, Netherlands Antilles Origin of the Sero Domi Dolomites Discussion of the Bicarbonate Flux Model Eocene Carbonates From the Eniwetok Atoll . Discussion of the Bicarbonate Flux Model DISCUSSION OF DOLOMITE POROSITY . SUMMARY . CONCLUSIONS APPENDIX I APPENDIX ll APPENDIX III 63 ?I 78 84 92 94 98 IIO IIS II6 I23 I24 126 I28 I30 I36 I48 TABLE OF CONTENTS (Cont'd.) APPENDIX IV . . . . . . . . I53 REFERENCES . . . . . . . . 158 vi Table Table Table Table Table Table Table Table Table Table Table I0. II. LIST OF TABLES BET specific surface area as a function of grain size. The saturation indexes of the solutions with respect to dolomite Variation of crystal sizes in Trenton limestone clasts Oxygen and carbon isotope analyses of the Trenton limestones Minor and trace element compositions (ppm) of the Trenton limestones. Dolomite crystal size distribution in the clasts and the matrix between the clasts from the Trenton. Oxygen and carbon isotope analyses of the Trenton dolomites. Oxygen and carbon isotope analyses of dolomites from the partially dolomitized cores, Trenton Formation. Strontium concentration (ppm) of the Trenton Formation dolomites. Manganese, iron and zinc concentrations (ppm) of the Trenton Formation dolomites. Stable isotopic and trace element compositions of some ancient dolomites. vii I8 22 38 43 50 54 SS 56 58 6| Table Table Table Table Table Table Table Table Table Table Table Table Table I2. I3. I4. IS. I6. I7. I8. 19. 20. 21. 22. 23. 24. LIST OF TABLES (cont'd) Comparison of oxygen isotopic signatures between Trenton dolomite types. Comparison of manganese concentrations (ppm) between Trenton dolomite types. . Comparison of iron concentrations (ppm) between Trenton dolomite types. Point counting results for the Trenton dolomite textural comparison. Porosity and permeability of the Boo Doei carbonates (Aruba, NA). Oxygen and carbon isotope analyses of the Sero Domi limestones, (Boe Doei). Stable isotope and trace element analyses of the Sero Domi dolomites (Boe Doei). . Darcy velocities and mass fluxes. Oxygen and carbon isotope analyses of the Sero Domi limestones (Rooi Hundu). Stable isotope and trace element analyses of the Sero Domi dolomites (Rooi l-lundu). Porosity and permeability of the Rooi Hundu carbonates (Aruba, N.A.). Stable isotopic and trace element compositions of selected Cenozoic dolomites. Porosities and permeabilities of the Eniwetok carbonates. viii 69 70 72 73 87 89 9I 97 I00 IOS I08 114 I2I Table AI-l. Table All-I. Table AlV-I. Table AlV-2. LIST OF TABLES (cont'd.) Comparison of Compensated Neutron and Whole Core Porosity of the Trenton Dolomites . Whole Core Porosity Analyses of the Trenton Formation Carbonates Compensated Neutron Log Porosity Comparison of the Nonconglomeritic Zones in the Trenton Formation Dolomites Whole Core Porosity Comparison of the Conglomeritic Horizon in the Trenton Formation Dolomites I3l I36 I53 I55 Figure I. Figure 2. Figure 3. Figure 4. Figure 5. Figure 6. Figure 7. Figure 8. Figure 9. Figure 10. Figure ll. Figure I2. LIST OF FIGURES Model of dolomite porosity evolution in a generic substrate Model of dolomite porosity evolution in a generic wackestone . Schematic cross-section of the Red River Dolomites, Montana . Location Map for the Trenton Formation Study Area in Jackson County, Michigan . Map of wells that were used in the study. Study area map with well lease names listed. Cores used in this study are circled Generalized isopach map of the Trenton Formation in the study area. Top of the Trenton Formation contour map West to east cross-section A-A' through the Trenton Formation in the study area. North to south cross-section B-B' through the Trenton Formation in the study area. Rounded quartz grains in the matrix between dolomitized clasts in the Trenton. Blocky low magnesium calcite cement filling molds molds in the Trenton limestone X I0 I4 24 28 29 30 31 33 34 36 39 Figure I3. Figure I4. Figure 15a. 15!). Figure 16. Figure l?. Figure 18. Figure 19. Figure 20. Figure 2 I. Figure 22. Figure 23. LIST OF FIGURES (COMO) Cemented fracture in a limestone clast that is broken off at the edge of the clast. Composition of the Trenton Formation limestone clasts. Trenton dolomite observed in plane light. Trenton dolomite as viewed in blue-violet ' light. Comparison of the crystal sizes between the dolomitized clasts and the dolomitized matrix between the clasts in the Trenton Formation. Large dolomite crystals replacing allochems and smaller dolomite crystals replacing mud in the Trenton Formation. . Late iron-rich dolomite cement in the Trenton Formation dolomites. Comparison of porosity between limestone and dolomite clasts in the Trenton. Fossil moldic porosity in the Trenton dolomites. Dolomite clasts with varing porosity in close proximity. Rose diagram of the fracture trend in the Trenton in the study area. . Nonplanar dolomite crystal replacing calcite cement in the Trenton xi 41 47 47 49 52 S3 62 64 65 66 7S Figure 24. Figure 25. Figure 26. Figure 2?. Figure 28. Figure 29a. 29b. 29c. Figure 30. Figure 3I. Figure 32. Figure 33. Figure 34. LIST OF FIGURES (cont'd.) Oxygen isotopic signature of the dolomites versus distance from west to east for the Trenton dolomites Location map for the Sero Domi Formation outcrops on Aruba, N.A. Percent porosity versus depth for the carbonates from Boe Doei . Blade shaped cement crystal included in a dolomite crystal from Boe Doei Dolomite crystals from the partial and complete dolomites from Boe Doei. Typical limestone from Rooi Hundu. Dolomite from Rooi Hundu showing mimic replacement of the coralline algae Foram mold in the dolomites from Rooi Hundu. Coralline algae fractured around what is currently a f oram mold from Rooi Hundu. Percent porosity versus depth for the carbonates from Rooi Hundu. Location map for the core used from the Eniwetok Atoll. Selective replacement of the muds by dolomite and the resistance of coarsely crystalline fossil fragments Dolomite cementation after calcite cementation on Eniwetok. . xii 82 85 86 90 93 101 102 103 104 107 117 118 119 LIST OF FIGURES (cont'd.) Figure 35. Percent porosity versus depth for the carbonates from Eniwetok. . . . . . I20 xiii INTRODUCTION Dolomitization is a process that is governed by factors that influence reaction kinetics (Machel and Mount joy, 1986). Nucleation and growth rates of the dolomite crystals influence the texture and therefore the porosity of the resultant dolomite. Recent laboratory experiments have delineated several key parameters affecting reaction kinetics: a) Mg/Ca ratio in the solution and substrate mineralogy (Gaines, 1980); b) crystal size of the reactant (Sibley et al, 1987); c) temperature (Katz and Matthews, 1977),- and d) the effects of inhibiting ions, such as 304 ' (Baker and Kastner, 1981). In addition to reaction kinetics, the flux of bicarbonate through the system is an important consideration in the evolution of dolomite porosity. Bicarbonate flux is important in that it influences the amount of dolomite cement that can be precipitated. Most dolomites have very complicated diagenetic histories. Consequently, In most studies examining dolomite porosity, the factors of f ectlng porosity are difficult to constrain. This study is significant in that constraints can be imposed to evaluate the affects of; I) substrate surface area, 2) saturation state of the solution, and 3) the flux of bicarbonate on the resultant dolomite porosity. Several hypotheses are tested in this study; 1) that crystal size of the reactant creates variations in resultant dolomite porosity, 2) that changes in the fluid chemistry of the dolomitizing solution create variations in the porosity of the resultant dolomite and 3) that the mere flux of bicarbonate through the carbonate system is not the limiting factor in dolomite porosity development. Samples from the Ordovician Trenton Formation (Michigan Basin), the 2 Pliocene Sero Domi Formation on Aruba (Netherlands Antilles), and the Miocene carbonates on the Eniwetok Atoll (South Pacific) were used in this study. Samples from the Trenton Formation were studied because they contain carbonate conglomerates. The individual clasts in the conglomerate have a wide range in composition. This provides an opportunity to examine what influence the variation in substrate texture has on dolomite porosity within a close proximity. It is highly improbable that clasts of strikingly different textures immediately adjacent to one another experienced differences in solution chemistry and temperature. The Trenton dolomites also provided an opportunity to look at how changes in solution chemistry might affect dolomite porosity. These changes in solution chemistry were inferred from the spatial distribution of the dolomites and trace element gradients. Samples from the Sero Domi Formation on Aruba, were studied because they contain dolomites and limestones with similar original depositional textures. This allows one to determine whether or not dolomitization creates or destroys porosity. The amount of bicarbonate transported into or out of the system can then be determined for mass flux modelling. The dolomites from the Eniwetok Atoll were studied to see how fabric-selective dolomitization would affect dolomite porosity. Previous work on these dolomites also provides constraints on the timing of dolomitization and the type of dolomitizing solution for mass flux modelling. Sal ler (1984a) presents a reasonable case for dolomitization by deep seawater. Through the use of strontium isotopes in the dolomites he was able to constrain the timing for the dolomitization process. Using petrographic data obtained in this study and the data provided by Saller 3 ( 1984a), one can model the flux of bicarbonate through the original carbonate substrate. in the Trenton and Sero Domi dolomites, it will be shown how the crystal size of the reactant (limestone) produces the textural/porosity variations observed. Additionally, in the Trenton dolomites, it will be shown that changes in dolomitizing fluid chemistry did not affect the porosity of the resultant dolomite. 1n the Eniwetok and Sero Domi dolomites, it will also be shown that the bicarbonate flux was adequate to produce the observed porosities. PREVIOUS WORK Porosity evolution of dolomites is most commonly explained by “volume shrinkage', a model attributed to deBeaumont in 1836 (Van Tuyl, 1914). The model was discussed in greater detail by Murray ( 1960) and Weyl (1960). They called it the 'local source theory', because the source OT 0032' W88 OSSUMOO to DB derived from "IO COCUZ. being FBDIBCBO. The model is based on the dolomitization of a limestone via the following equation: rig2+ + 2ceco3 ---- cf:2+ + CaI'Ig(CO3)2 (I) The resultant dolomite will occupy 13 percent less volume than the original volume of the calcite. This occurs due to the molar volume difference between two moles of calcite and one mole of dolomite. Since 4 dolomitization via this reaction should result in a porous dolomite, a - strict application of this model universally does not seem warranted due to the existence of many low porosity dolomites. Other models attribute the porosity of dolomites to the dissolution rate of calcite being greater than the precipitation rate of dolomite during the replacement process (Murray, 1930 and Landes, 1946). However, studies of partial and complete dolomitization by Lucia (1962), Jodry (1969) and Choquette and Steinen (1985), infer that dolomitization initially decreased porosity and then increased porosity. These studies are not consistent with the dissolution rate of calcite being more rapid than the precipitation rate of dolomite. Wardlaw (1979) suggested that porosity in dolomite can be attributed to contact inhibition. Contact inhibition is the tendency for crystals to stop growing when they come into contact. He suggested that contact inhibition between dolomite crystals is greater than the inhibition between calcite crystals, which tend to form compromise boundaries and destroy porosity. This suggestion however, is in direct conflict with the fact that compromise boundaries and intergrown dolomite crystals are observed through standard petrographic and SEM examination. Schmoker and Halley (1982) suggest that dolomites are more resistant to the 'porosity reducing effects of burial" than limestones. Limestone and dolomite porosities have been compared in many studies (Lucia, 1962; Jodry, 1969; Schmoker and Halley, 1982; Halley and Schmoker, 1983; Longman, Fertal and Glennie, 1983; Baum, Harris and Drez, I985; Schmoker, Krystinik and Halley, 1985; and Choquette and Steinen, 1985). These studies however, produce no consistent trends in dolomite porosity data. For example, Longman et al (1983), Baum at al 5 (1985) and Choquette and Steinen (1985) showed that dolomites were more porous than their associated limestones. Lucia (1962), Jodry (1969) and Choquette and Steinen (1985), inferred that dolomitization initially decreased porosity and then increased porosity. Hal lay and Schmoker (1983) showed that no difference in porosity exists between limestones and dolomites of the Cenozoic of Southern Florida. Schmoker and Halley (1982) also show that shallowly buried dolomites from south Florida are less porous than their associated limestones. Finally, Schmoker et al (1985) found that limestone reservoirs in the United States are actually more porous and permeable than dolomite reservoirs. None of the models presented can account for the wide range of dolomite porosities observed in nature. The texture, is. porosity, of non-detrital rocks is the result of several factors influencing crystal nucleation and crystal growth. Two of these factors are; 1) the surface area of the substrate, and 2) the saturation state of the solution. The affects of these two parameters on dolomite porosity will be addressed in the following section. The influence of bicarbonate flux on dolomite porosity will be addressed in a later section. I'IODEL RELATING SUBSTRATE _ SURFACE AREA AND SATURATION STATE OF THE SOLUTION TO DOLOI‘IITE POROSITY If the flux of bicarbonate through the system is not a limiting factor, the nucleation rate of the dolomite can determine the texture of the 6 dolomite and consequently its porosity. Two factors which can affect nucleation rate are; I) the surface area of the reactant particles, and 2) the supersaturation of the solution with respect to the products. How these two parameters can influence nucleation rate is addressed below. The heterogeneous nucleation rate of a phase can be related to the number of active sites (potential nucleation sites) by the following equation from Christian (1975, sq. 52.34): I z (N)"3L(kT/h) exp {-0566 + ag’mm (2) where N = Number of atoms per unit volume which are on dislocation lines L = Dislocation density AB = Critical free energy for homogeneous nucleation ag’ = Free energy of activation per atom k = Boltzmann’s constant h = Plank's constant T = Temperature It is assumed that the number of active sites (dislocations) is directly proportional to the surface area of the reactant, and therefore, the nucleation rate is directly proportional to the surface area of the reactant. An increase in the surface area of the reactant will cause a corresponding increase in the nucleation rate. The influence of the saturation state of the solution on the heterogeneous nucleation rate Is observed by substituting the free energy term for homogeneous nucleation into the preceding equation. The free 7 energy term for homogeneous nucleation is given by the following equation from Christian (1975, sq. 46.20): sec = 463n3/27(9'-g')2 (3) where a = Surface free energy n = Shape factor 9 = Gibb's function per atom (I - liquid, v - vapor) Substituting this equation into equation (2) above one can see that the nucleation rate is an exponential function of the saturation state. This relationship can also be seen in the following equation from Boistelle (1982): l = Nov exp [-16 8233/3(kt)3(ln3)2 exp ('Bvam’km (4) where N0 = no. of solute molesules/ volume of solution v = frequency with which a critical nucleus becomes supercritical B = volume of a molecule inside the nucleus 3 = interfacial surface free energy between the nucleus and the solution, S = degree of supersaturation, Bvdiff = energy barrier encountered by the bulk solution for volume diffusion from the bulk solution to the nucleus. 8 We lack the necessary data on the surface free energy of the dolomite nucleus, the shape factor of the dolomite nucleus, and the dislocation density of the substrate, to apply these equations quantitatively to dolomitization. Oualitatively however, from equation (2) it can be seen that a direct relationship exists between the dislocation density and the nucleation rate. From equations (3) and (4) it can be seen that a linear relationship also exists between log I and the degree of supersaturation. The slope of the curve will be determined by factors in the numerator of the exponent. In summary, the rate of nucleation is directly proportional to the number of active sites on the substrate, which in turn is directly proportional to the surface area of the reactant. An increase in the surface area of the reactant will therefore, cause a corresponding increase in the nucleation rate. The rate of nucleation is also an exponential function of the degree of supersaturation with respect to the product phase. An increase in the saturation state of the solution will therefore, cause a corresponding increase in the nucleation rate. The porosity evolution of a dolomite is also influenced by the dissolution rate of the parent limestone. From observations in the partially dolomitized rocks from the Trenton Formation in this study, it appears that dissolution of the limestone host occurs at the limestone-dolomite interface and not whole-sale throughout the sediment. This is evidenced in the partial dolomites in that no partially dissolved parent mud or allochems are observed. if whole-sale calcite dissolution was occurring in the host, there should be evidence of dissolution in both the mud, and the allochems, in the partial dolomites. lf dissolution of the parent limestone occurs at the limestone-dolomite interface and no 9 dolomite nucleates on the substrate, then dissolution will not occur. This unreplaced host can then be dissolved out at some later time creating porosity. Model for Dolomite Porosity The model of dolomite porosity proposed has two parts, 1) the influence of the substrate surface area, and 2) the influence of the saturation state of the solution. These two situations will be examined in relation to varying amounts of bicarbonate. First, if the growth of the nuclei is not limited by other kinetic factors, than the porosity of the product will be directly related to the surface area of the reactant. The affect of substrate surface area and solute flux will first be examined using a generic substrate, and then using a generic wackestone. In figure I, substrate (a) has a high density of dolomite nuclei, and substrate (b) has a low density of dolomite nuclei. The evolution of the porosity to total exclusion of porosity in both substrates is depicted. Both substrates begin the process with the same porosity. In an open system with a solution of constant composition and temperature, and with excess bicarbonate moving through the substrate, the crystals in both substrates will grow at the same rate. After a short period of growth (T 1), substrate (a) with the high nucleation density has a lower porosity than substrate (b) with the low nucleation density. This is due to the tighter initial packing of the nuclei. After a longer period of growth (T 2), the porosity of the substrate (a) with the high nucleation density has been totally occluded, but substrate (b) with the lower nucleation density still 10 Figure 1. Model of dolomite porosity evolution in a generic substrate. Substrate (a) has a high density of dolomite nuclei and substrate (b) has a low density of dolomite nuclei. The substrate in both cases has the same original porosity. As dolomitization ensues, substrate (a) will lose its porosity more rapidly than substrate (b) due to the greater number of dolomite crystals growing. At time T2 substrate (a) has lost its porosity, whereas substrate (b) still retains porosity. With continued dolomitization, substrate (b) will lose its porosity as well at a later time (T3). F 2%: >._._wOmOn_ I m._._EO._OD D MZOthES D NF "2 >tmzmo $4032 30.. m DUDE DUDE DEED 11 we "2 >tmzmo 3.5:: 10.: < Mk N». F... o... 12 has porosity. If substrate (b) remains in the dolomitizing solution, it will eventually lose its porosity and become occluded as well (T3). The product in this sample will have a larger crystal size than the product formed from the nuclei that were more densely packed initially. The density of the nuclei will then, determine which portions of the substrate will lose their porosity first, and which portions of the substrate will retain their porosity the longest. Substrates with a higher number of nuclei per unit mass of reactant would have more closely packed products and therefore a lower porosity than the corresponding substrate with less dense nucleation at any time (T) as the sediment approaches zero porosity. The dolomitization of finely crystalline reactants (i.e. mud or cryptocrystalline allochems) will result in dense dolomite nucleation. This dense nucleation will result in a finely crystalline dolomite with a relatively low porosity. The dolomitization of a coarsely crystalline substrate (9.9. microcrystalline allochems) will result in a lower density of dolomite nuclei. This lower nucleation density is manifested in the formation of a coarsely crystalline dolomite with a relatively high porosity. Considering the same situation with a limited amount of bicarbonate, initially the substrate with the higher nucleation density will become more porous due to the more rapid dissolution of the local carbonate to produce the dolomite. As dolomitization continues however, and dolomite cement is added, the substrate with the more densely packed dolomite crystals will result in the lower porosity dolomite. Second, the porosity of the dolomite is a function of the saturation state of the solution. The nucleation rate of dolomite is an exponential function of the degree of supersaturation with respect to the product 13 phase. An increase in the degree of supersaturation will therefore behave in a similar fashion as an increase in the surface area of the substrate. A high saturation state will result in a high nucleation rate and therefore a high density of dolomite nuclei. A solution with a high saturation state should therefore result in dense nucleation and tighly packed products. This is similar to the effect produced by a finely crystalline substrate. Solutions with a high saturation state will cause dense nucleation and will result in a low porosity product. Conversely, a solution with a low saturation state will result in a low density of nuclei and a high porosity product. Therefore at time T (any time before the total occlusion of porosity) the substrate subjected to the solution with a higher saturation state will result in a dolomite with a lower porosity than the same substrate subjected to a solution with a lower saturation state. The affects of substrate surface area, saturation state of the solution and time are demonstrated on a generic wackestone in figure 2. In this wackestone, the carbonate mud portion will have a high density of dolomite nuclei due to its high surface area. There are also some coarsely crystalline fossil fragments in this wackestone that will have a lower density of nucleation sites due to the lower surface area of these grains. If this wackestone is subjected to a solution that is highly supersaturated with respect to dolomite, very dense nucleation will occur in the mud portion of the wackestone due to both the high surface area of the substrate and the high saturation state. The more coarsely crystalline portions of the sample will have fewer dolomite nuclei (IIA). Given an adequate "UN 01 HCUs', the OOIOMItB RUCIOT Will grow ”Didi” BRO Impinge on one another. The product will be a dolomite with a porosity similar to or lower than the limestone that it replaced. The dolomite will retain the 14 IIIA me m c III 0 ,,,,,, SATURATION WITH RESPECT TO DOLOMITE DECREASES Figure 2. Model of dolomite porosity evolution in a generic wackestone. Where (1) represents the generic wackestone, (II) is the onset of dolomitization showing the distribution of the nuclei, and (III) is the completely dolomitized result (diagram from Sibley and Gregg, 1987). 15 original limestone texture (IllA) due to the dense initial nucleation. Due to the BXIBHIOIIQ OOT’IVBU HCO3', dolomite cementation [“89 OCCUT' ONO DFOOUCB a dolomite with a lower porosity than the original limestone. If the same wackestone is subjected to a solution with a slightly lower saturation state (118) and little extenally derived HCO3', there is still relatively high nucleation density in the mud portions of the sample, due to its high surface area, but little or no nucleation in the more coarsely crystalline portions of the rock. The more coarsely crystalline portions of the substrate will therefore be much slower to dissolve and remain unreplaced. The coarsely crystalline substrate will be slower to dissolve because the dolomite does not nucleate on it. Since dissolution occurs at the limestone-dolomite contact, if there is no nucleation there will be no dissolution. These unreplaced fragments can later dissolve, in which case fossil moldic porosity will result (1118). If the same wackestone is subjected to a solution with an even lower saturation state (NC) and very little externally derived bicarbonate, there is a lower density of dolomite nuclei. This results in large dolomite rhombs that are not packed as closely as the rhombs in case A (INC), and no dolomite cementation. A dolomite which has a porosity that is increased over the precursor limestone is produced. With the low nuclei density in the host, the fine textural detail of the host is obliterated. In the first three cases presented, the amount of time was a fixed quantity. in example D, the affect of a prolonged time in a dolomitizing solution with a low saturation state is presented. In case D, there are few nuclei in the substrate due to the low saturation state. This low saturation state also results in a slow growth rate. If however, this solution is 16 f luxed through the sediment over a sufficient period of time, then the dolomite rhombs would eventually impinge on one another and result in a low porosity dolomite (lllD), that shows textural obliteration. The previous examples were sediments that experienced one dolomitization event. For each succeeding event of dolomitization a new set of factors needs to be analyzed. Reactant Surface Area in Nature A mudstone will have a higher number of possible nucleation sites per unit volume than a coarse crystalline grainstone due to the higher surface area of the micrite per unit volume. Therefore, dolomite should nucleate more rapidly and more densely in mudstones as compared to grainstones. This assumes that the number of active sites on a crystal surface is directly proportional to its surface area. There are no data available on the surface area of natural reactants in situ. This appears to be a good working hypothesis however since Bartlett (1984) conducted dolomitization experiments with substrates of different surface area, and found that dolomitization did indeed occur more rapidly in substrates with a higher surface area to volume ratio. This is also consistent with the common observation that mudstones and the mud in packstones are often preferentially dolomitized (Chilinger, 1956; Powers, 1962; Murray and Lucia, 1967; Armstrong, 1970; Wardlaw, 1979; Ruzyla and Friedman, 1985; Gawthorpe, 1987). The magnitude of the surface area affect of nonallochems on nucleation rate can be estimated by comparing crystal size differences of 17 micrlte and microspar. The size range of micrite is 1-4 microns and the size range of microspar is 4-50 microns (Bathurst, 1975). If one assumes that the crystals are cubes, the difference in surface area between micri te and microspar is approximately four orders of magnitude from 6 microns to 15,000 microns. The magnitude of the surface area affect of allochems on nucleation rate is difficult to estimate. The sizes of allochems and cement however can vary by much more than size differences observed between micrlte and microspar. The crystal sizes of allochems and cement can range from microns to millimeters. Crystal size differences occur not only between mudstones and grainstones, but also between different fossil types. Walter and Morse ( 1984) have shown that fossil types have a wide variety of BET surface areas, and that these surface area measurements can vary by at least an order of magnitude (T able 1). Differences in the reactivity of these fossils to dolomitization are contingent upon not only differences in crystal size, but also to differences in mineralogical composition, chemical composition and microstructure (Sibley, 1982; Bullen and Sibley, 1984). From petrographic observation and experimental studies one can see the differences in behavior of different fossils to dolomitization. For example, certain fossils are replaced mimetically, nonmimetically, not replaced at all, or entirely dissolved out (Murray, 1960; Sibley, 1982; Bullen and Sibley, 1984). If these effects were due entirely to differences in crystal size, the following would occur. Red algae which have cryptocrystalline calcite skeletons (i.e. high surface area) are more likely to be replaced mimetically, whereas some molluscs which have microcrystalline calcite skeletons (i.e. low surface area) are more likely to be nonmimetically replaced or remain unreplaced. This difference in 18 TABLE 1. BET SPECIFIC SURFACE AREA AS A FUNCTION OF GRAIN SIZE Observed Observed/Geo- Specific metrically Median Grain Surface Predicted Diameter Area Surface Grain Type (Microns) (M294) Area Echinoid 81 0.14 5.7 275 0.09 I 2.4 5 1 3 0.08 20.5 Coral 5 1 0.23 5.9 B 1 0.22 8.9 275 0.17 23.4 5 13 0. I 2 30.8 flo/imede B 1 2.04 82.6 2 15 2. 10 225.8 5 13 2. 1 1 541 .2 (Walterand Morse,1084) 19 textural response is best explained by the different number of potential nucleation sites and therefore a different rate of nucleation. 0189888813 can cause an IROI‘BOSO in "18 CI'USIOI 8128 01 the COCOS, therefore decreasing the density of potential dolomite nucleation sites. Samples having undergone aggrading neomorphism and/or coarsely crystalline cementation should therefore result in a substrate with a lower density of dolomite nuclei per unit volume. Substrate Surface Area Affects (Examples) There are few published analyses where the distribution of dolomite, dolomite paragenesis, original lithologles, solution chemistry and porosity are adequately described. The following examples of dolomite porosity evolution are consistent with our ideas concerning the influence of substrate surface area on dolomite porosity. In these studies, however, it is not possible to assess what affects differences in original mineralogy and/or changes in fluid chemistry had on the dolomite porosity development. Jodry (1969) examined dolomites from a reef and associated carbonates (Silurian, Michigan Basin). He chronicled the evolution of the porosity for a variety of original rock textures from 100 percent limestone to 100 percent dolomite. He concluded that the 'rocks with the least porosity development were micrite', with the resultant dolomites exhibiting an average porosity of 1.8 percent. Dolomitized micrltes also had a small dolomite crystal size in comparison to the dolomitized 20 reef -f ramework. He observed that very large crystals of dolomite and higher porosity (12.5 percent) were apparent in dolomites that had replaced reef -framework material. This porosity development is consistent with a substrate surface area control on porosity. Barrett (1986) suggested that the replacement dolomite of the Smackover Formation (southern Alabama) and its porosity distribution, were a function of changes in the magnesium flux and anisotropies in the carbonate fabric. The effect of the carbonate fabric on porosity is observed in the completely dolomitized areas. In these areas, the low porosity dolomites were correlated with changes to finer-grained carbonate substrates. Armstrong (1970) examined dolomites from the Lisburne Group (Alaska). In these dolomites, finer crystalline dolomite replaced the carbonate mudstones and more coarsely crystal line dolomites replaced packstones and grainstones. Abundant visible porosity was noted in the dolomitized packstones and grainstones. Fisher and Rodda (1969) examined dolomites from the Edwards Formation (Texas). They suggest that there are two types of dolomite present, 1)a stratal dolomite - which is fine grained, has a uniform grain size, a tightly knit fabric, is very slightly porous and permeable, and is associated with carbonate mudstones, and 2) massive dolomite - fine to coarse grained, has a variable rhomb size, a loosely knit fabric, is moderately porous and permeable, and is associated with fossiliferous carbonate grainstones. The stratal dolomite is inferred to have formed prior to lithification and the massive dolomite formed after lithification. The differences in porosity between the two dolomite types may be due to the initial differences in substrate surface area, and to the lithification 21 process which would increase the crystal size of the substrate. The variable rhomb sizes in the massive dolomite may have resulted from; I) coarsely crystalline dolomite replacing the coarsely crystalline fossils that had been lithified and 2) the finely crystalline rhombs (similar in size to the stratal dolomites) replacing the mud matrix. Ranges of Solution Chemistry in Nature Dolomitizing solutions consisting of a wide range of fluid compositions have been inferred by many researchers. The differences in the saturation indexes (lAP/Ksp) of these solutions with respect to dolomite is examined below. Dolomitizing solutions produced by various mixing proportions of fresh water and seawater have been invoked by Badiozamani (1973); l'Ianshaw, Back and Dieke (I971); Choquette and Steinen (1980); Sears and Lucia (1980); Ward and Halley (1985) and many others. The saturation index of this mixture using Badiozamani‘s (1973) data is approximately 14 (T able 2). Seawater has been suggested as a dolomitizing solution by Seller (1984a); Mullins et al (1985); Carballo and Land (1987), Aharon et al (1987) and others. Seawater, with a saturation index of approximately 2990 (T able 2) with respect to dolomite is more highly supersaturated with respect to dolomite than mixed waters. Ref luxing brines (which can have a wide range of compositions) have also been suggested as a possible dolomitizing solution (Adams and Rhodes, 1960; Deff eyes et al, 1965; Sears and Lucia, 1980; Clement, 1985; Rosen et al, 1988). The saturation index of the Dead Sea brine (Krumgalz et al, 22 TABLE 2. THE SATURATION INDEXES OF THE SOLUTIONS WITH RESPECT TO ST OICHOHET RIC DOLOI'IITE Solution Type Saturation Index Mixed Water’ (.33 x 10' Sea Water“ 2.99 x 103 BrineM 4.85 x 105 * mmitisn)nucusistsorsssrmrmmau5$mvm. ” Mmmemmmusanwtisee)mmmmmm Drenr(1982). “* Deedmbrimqproxinatehj imitheoonoentntionofseavatermlzuflfllerofim). 23 1982) which has been used for flux modelling is approximately 4.9 x 105 (Table 2). Although this particluar brine has a higher saturation index than sea water, not all evaporatively concentrated waters are even supersaturated with respect to dolomite (Gueddari, 1983). The evaporitively concentrated brine has the highest saturation index of the waters examined and the mixed water solution has the lowest. The higher saturation index in the brine would lead to a greater nucleation rate for the brine dolomites. The lower saturation index in the mixed water would lead to a lower nucleation rate for the mixed water dolomites. Solution Chemistry Affects (Examples) There are two examples where the porosity of the dolomites appears to be directly related to the saturation state of the dolomitizing solution (Longman et al, 1983 and Barrett, 1986). These studies however, do not attempt to correlate the stratigraphic distribution of the dolomite with changes in dolomite crystal chemistry, nor do they provide enough detailed information to assess the role that changes in substrate surface area may have in the porosity evolution of the dolomite. Longman et al (1983) examined dolomites from the Red River Formation (Ordovician, Williston Basin) detailing the dolomite distribution and porosity trends (Figure 3). They showed dolomite pods under the C anhydri to which crosscut bedding planes. The abundance of dolomite decreased around the periphery of the pods, suggesting a decrease in the Mg/Ca ratio of the dolomitizing solution. Near the source of the 24! “3:13.11” e n V In C-enhytite 3 344101. it My“. 0 T 0 q- 5 Cryptocryetelhe 20' dolomite “-10 Reletlvely ‘0‘ Impermeeble enneeble 11.15 llmeetone bed hectare bed 80-4 Ponmnrdokunue ~20 ' ve : as 80~Lzs l 1000 n 1 I 500 MI I Figure 3. Schematic cross-section of the Red River Dolomites, Montana (Longman et a1, 1983). Note the dolomite near the inferred source of the dolomitizing solution (break in the C anhydrite) is cryptocrystalline and has a low porosity. Dolomites farther away from the source of the solution are more coarsely crystalline and have a higher porosity. 25 dolomitizing solution (an inferred break in the C anhydrite), the dolomite is finely crystalline with low porosity. Near the limestone-dolomite contact, the dolomite is more coarsely crystalline and porous. These dolomite and porosity trends are interpreted to be related to decreases in the saturation state of the solution with respect to dolomite. Barret (1986) examined dolomites from the Smackover Formation (Jurassic, Alabama) detailing the dolomite distribution and porosity trends. It was suggested that areas of high magnesium flux determined the amount and distibution of replacement dolomite and therefore its porosity. Areas of high magnesium flux resulted in greater dolomite replacement, the f orrnation of sucrosic dolomite and consequently greater porosity. In this study constraints will be placed on the sediments to determine what affects substrate surface area, solution chemistry or bicarbonate flux would have on the evolution of dolomite porosity. METHODS Porosity analyses reported in this study come from three sources. Core Labs (Mt Pleasant, Ml) performed whole core and plug porosity analyses on selected samples from all sample locations. After these values were obtained, thin section point count (500pts/slide) porosities were determined on samples impregnated with blue epoxy or epoxy spiked with a fluorescent dye. Fluorescent dyes were used to help determine microporosity in the dolomites (Vanguas and Dravis, 1985). Regional trends in the Trenton porosity were also determined from compensated neutron porosity logs. A comparison of the dolomite whole-core porosity and the 26 compensated neutron log porosity was conducted in order to determine regional trends in dolomite porosity (APPENDIX 1). Through the use of a T-test, it was found that there was no significant difference in porosity between the two methods. Fossil percentages in the dolomites were obtained through point counts of thin sections under fluorescent light (Dravis and Ilurewicz, I985), diffused plane light, and plane light. Thin sections of the Trenton Formation impregnated with fluorescent epoxy and viewed with a fluorescence microscope reveal little or no microporosity. This indicates that the thin section point counts are not biased by visible porosity. Stoichiometry of the dolomites was determined by lt-ray diffraction analyses (Graf and Goldsmith, 1956). Major and trace element analyses of the limestones and dolomites were performed on a Perkin-Elmer '560 AAS. The analytical and machine precision for strontium and manganese was less than t 18, for zinc t 4 x, and for iron 1 208. All samples were powdered to pass a 60 micron sieve and dissolved in glacial acetic acid following the method outlined by Barber (1974). Carbon and oxygen isotopic analyses were performed at the University of Michigan Stable Isotope Laboratory. All samples were roasted under vacuum at 380°C for one hour to remove volatile contaminants. Calcite and dolomite samples were reacted in anhydrous phosphoric acid at 50°C, and C02 was prepared in an extraction line coupled directly to the inlet of a VG 602E ratio mass spectrometer. Isotopic compositions were then converted to P08 and corrected for ”0 according to Craig's (1957) procedure. No fractionation correction was applied for the dolomite-phosphoric acid reaction. Precision of the isotopic data is better than 0.10 per mil (0’00) 27 for both oxygen and carbon determinations. The precision of data is based on a daily analysis of NBS 20. OBSERVED AFFECTS OF SUBSTRATE SURFACE AREA AND SATURATION STATE OF THE SOLUTION ON DOLOMITE POROSITY The Ordovician Trenton F orrnation Jackson County, Michigan The Trenton Formation (Ordovician, Michigan Basin) was studied because it contains carbonate conglomerates and consequently provides substrate textural variations within close proximity. In studying clasts of strikingly different textures immediately adjacent to one another, differences in solution chemistry and/or temperature can be dismissed. The Trenton dolomites also provided an opportunity to look at how changes in solution chemistry might affect dolomite porosity. These changes in solution chemistry were inferred from the spatial distribution of the dolomites and trace element gradients. The Trenton Formation is composed of mudstones and wackestones that were deposited in a deep subtidal environment (Wilson and Sungepta, 1985). In this study five cores from north central Jackson County were examined (Figures 4 and 5). An isopach map of the Trenton Formation in the Michigan Basin (Figure 6), indicates that the study area lies between what are interpreted to have been two Trenton platforms. An isopach map of the study area (Figure 7) reveals an anomalous local thickening of the Trenton, 29 .mE. 5 no»: 83.... . 629;“. So 25$ 2.: :22. $88 88. :0; 2: 5.; SE coco 2.3m .m 8:9... _ up; 0 821... hp or 5." 20:4 >44wx #23. A )9 5.. x93 ‘ 2V mmmoo a.-. up Eocene NY. Va A «a. A .5. . AVA... @o a ruxoaa 3 82560 54...: :4 2.»:(3 axe: .0. O- 32:33 >44w¥ hmzu ,Ueee ME @ Av Ta :03 20235.. T— 20:.— 2033(2 Zthumh 30 Kilometers r ' 1 o 50 100 CI - 10m Figure 6. Generalized isopach map (contours In meters) of the Trenton Formation in Michigan (from Wilson and Sengupta, 1985). Note the position of the study area (star) between what are though to have been two Trenton platforms. 31 .m: .cSceh 2: 5 928.25 mac—usage «5 2o: 62.. :83 2: S 832:2 :35... 2: 3 SE 588. .A 959... n6 nuil O m4<0m n22 Al... .m=.~_ .00. cm I .0 105.0%. Zthmmh 32 a feature that has also been seen in the Trenton from the nearby Northville Trend (Mesher, 1980). A contour map of the top of the Trenton in the study area (Figure 8), shows that there is no discemable local dip direction. The regional dip in this area of the basin is to the north. Most of the Trenton Formation in the study area is limestone, however, the cored intervals contain partially and completely dolomitized strata. The limestones are dominantly dark grey nodular mudstones and wackestones. The allochems in the limestones are chiefly echinoid and brachiopod fragments, with minor amounts of Iithoclasts, trilobites, molluscs and pellets. Clasts are common in the upper part of the cores (Figures 9 and 10). The clasts in this zone range in size from a few millimeters to five centimeters. The clasts range in composition from mudstones to crinoid-brachiopod-mollusc packstones, and generally comprise about 65 percent of the rock volume where present. The crystal sizes of the constituents in the limestone clasts vary widely (Table 3). The fact that the clasts are rounded suggests that these clasts are detrital and not collapse breccias. This is also supported by the presence of rounded detrital quartz grains in the matrix between the clasts but not within the clasts themselves (Figure I I). Molluscs in the limestones and in the lithoclasts are often dissolved away with the molds being filled by an equant blocky spar cement (Figure 12). Cementation occurred prior to the deposition of the clasts. This is evidenced by cemented fractures in the clasts which end abruptly at clast edges (Figure 13). These fractures do not extend into the matrix and would not have survived transport if they had not been previously cemented. Oxygen isotopic compositions of whole-rock limestone analyses range from -7.66 to -5.06 °l°° and average -6.39 °l°° P08. Carbon isotopic 33 .9.» SE 53:8 SEEP. :35... o... .o 8.. .0 8:9... ,Ueee ad v.3... a 326m 1.0 rulin- m4 O c2556... .660 80m 0 23:86.. :23..." ate-.1 .OOC 50% Dolomite 7 Motors 1340 ‘ 1360 1 “I O 13301 ° 1400 i 3 F O 5 10 15 20 25 30 35 Porosity 1p 4 1 Figure 35. Percent porosity versus depth of the carbonates from the . Eniwetok Atoll. Note the general decrease in porosity with the increase in percent dolomite. 121 TABLE 24. POROSITY AND PERMEABILITY OF THE ENIWETOK ATOLL CARBONATES SAMPLE DEPTH lN LITHOLOGY PERM EABILITY POROSITY METHOD METERS (MILLIDARCIES) F1 -1 1 -4 1279.0 LIMESTONE 1921.0 33.2 PLUG F1 -1 1-5 1280.0 LIMESTONE 16.0 TS F1 -1 1 -8 1281.0 LIMESTONE 1928.0 33.6 PLUG F1 -1 1-9 1281.4 LIMESTONE 13.4 TS F1 -1 1-12 1282.0 LIMESTONE 2042.0 32.2 PLUG F1 -1 1-16 1282.3 LIMESTONE 1675.0 30.8 PLUG F1 -1 1-18 1282.6 LIMESTONE 9.8 TS F1 -1 1-21 1283.2 LIMESTONE 1686.0 29.1 PLUG F1 +1 1-25 1283.5 LIMESTONE 1695.0 27.7 PLUG F1 -1 1-26 1283.8 10-50 03 14.1 TS F1 -1 1-30 1285.0 10-50 08 9.7 TS F1 -1 1-34 1286.3 LIM ESTONE 22.4 TS F1 -1 1-36 1286.9 LIM ESTONE 1501 .0 32.8 PLUG F1 -12-1 1315.5 LIMESTONE 17.8 TS F1 -12-2 1315.6 LIMESTONE 20.3 TS F1 -12-3 1315.8 LIMESTONE 12.4 TS F1 ~12-4 1316.1 >50 08 1428.0 8.7 PLUG F1 -12+4T 1316.1 >50 OS 10.2 TS F1 -1 2.48 1316.3 >50 OS 7.6 TS F1 ~12-5T 1316.4 >50 03 5.2 TS F1 -12-58 1316.4 >50 OS 7.4 TS F1 -12-6 1316.6 >50 DS 1005.0 7.1 PLUG F1 ~12-7T 1316.7 >50 08 2.8 TS F1 -12-78 1316.9 >50 OS 6.1 TS F1 -12-8 1317.3 >50 OS 4.2 TS F1 -12-9 1317.5 10-50 08 1658.0 29.1 PLUG F1-12-10 1317.7 >50 08 14.2 TS F1-12-12 1318.7 10—50 OS 10.4 TS F1 -12-14 1319.2 10-50 08 7.7 TS F1 -12-16 1320.9 10-50 OS 11.6 TS Table 24 (cont'd.) F1-12-23 F1 -13-2 F1 .142 F1 -14-4 F1-14-8 F1-14-14 F1 -14-17 F1 4420 F1 -14-25 F1-14-28 F1-14-29 F1-15-3 F1-15-13 1322.8 1345.7 1371.6 1372.5 1373.7 1374.0 1374.7 1375.0 1376.5 1377.4 1377.7 1380.1 1383.0 122 1050 OS LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE LIMESTONE 1413.0 1106.0 1699.0 1634.0 1713.0 8.1 22.5 10.5 30.2 29.0 29.5 23.2 23.7 21.5 13.4 25.6 16.1 24.0 TS T8 T5 PLUG PLUG PLUG TS PLUG PLUG TS T8 T8 T8 Limestone porosity average - 23.1% Standard deviation .. 7.5% 10-50% Dolomite porosity average - 13.0% Standard deviation - 7.4% >50% Dolomite porosity average - 7.4% Standard deviation - 3.2% Permeability average - 1668md Standard deviation - 250md Permeability - 1658md Permeability average - 1216md Standard deviation - 2991110 123 appears to vary inversely with the amount of dolomite (Figure 35 and Table 24). The fabric selective nature of the partial dolomites and the similarity of crystal size of all the dolomites is consistent with the hypothesis that the amount of dolomite in the rocks may have been controlled by the original rock texture. As in many ancient rocks, the dolomite may have selectively replaced mudstones. The fact that there are only rare fossil ghosts and molds in the completely dolomitized section is consistent with this hypothesis. If the original texture of the dolomites and limestones were different, then one can only speculate as to the original porosity of the sediments that were dolomitized. One can estimate the predolomitization porosity from the current porosities in the nondolomitized portion of the section. Enos and Sawatsky (1981). through their work on Holocene sediments, show that sediments containing higher proportions of mud were at least as porous as, or more porous than, sediments containing higher proportions of allochems. If this is the case, and only minor compaction and cementation is observed in the limestones, it is reasonable to assume that the low porosity dolomite that replaced the mud has resulted in a porosity loss of approximately 20 percent over the precursor limestone. Discussion of the Bicarbonate Flux Model TO 1110081 1118 111111 01 H003” 101' 111888 FOCKS 1'801111’88 08811100110118 about the porosity of the rocks that were dolomitized. The present porosity of the dolomites is 7.4 percent, whereas the the present porosity 124 of the limestones is approximately 24 percent. We will assume the predolomitization porosity of the limestones was approximately 24 percent. 11 the rocks were replaced with a 13 percent volume reduction, then approximately 26 percent dolomite cement must have been precipitated. Saller (1984a) presented strong evidence that the dolomitizing solution was sea water and that the dolomitization occurred within the past 24 myr. lf sea water was the dolomitizing solution, and H1303: 1118 COMFOIHTIQ 0111011 101' 08018111011011, 111811 1118 1'801111'80 0111011111 01 dolomite cement could have been precipitated in .1 to .24 million years f luxing sea water by Kohout convection. This amount of cement could have been precipitated in .02 to .14 million years f luxing HCO3' by sea water circulation associated with a mixing zone. For most dolomites, the flux models are difficult to constrain. In the dolomites from Eniwetok, the dolomitizing solution and the maximum time allowable for dolomitization are relatively well constrained. In this case, we estimated a considerable porosity reduction within a time limit of .2 million years. As compared to the time available for dolomitization, the short time periods obtained from the modelling again support the idea that the flux of bicarbonate through the system is not the limiting factor to be considered in the porosity evolution of these dolomites. DISCUSSION OF DOLOMITE POROSITY The ability to determine which horizons within a dolomite are going to have a higher porosity is a very important in both reservoir exploration 125 and its subsequent development. Early work on dolomitization and porosity concentrated on why dolomites are more porous than limestones (Van Tuyl, 1914;11urray, 1930; Landes, 1946; l'lurray, 1960 and Weyl, 1960). These models were based on the assumption that the dolomitizing solution contained little or no bicarbonate available for dolomite cementation. The flux modelling for the Eniwetok and Aruba dolomites suggests that the flux of bicarbonate is not always a limiting factor in the porosity evolution of a dolomite. The condition of porosity development with dolomitization is therefore not always the case. Often, coeval dolomites have a similar porosity to, or lower porosity than, their coeval dolomites (Schmoker and Halley, 1982 ; Halley and Schmoker, 1983 ; Barrett, 1987 and this study). The Trenton Formation dolomites have a higher porosity than their associated limestones. The dolomites however, are not 13 percent more porous than the limestones, which is what would be predicted by the ‘local source theory“, but are only approximately two percent higher. A fundamental problem with most studies of dolomite and porosity is that bulk dolomite and limestone porosities are compared. This causes problems in that porosity in limestones and in dolomites can vary on the scale of a thin section as well as between regional differences in f acies. Dolomite porosities in the Trenton varied widely in the space of a few centimeters. Any attempt to truely assess the role that dolomitization plays in the evolution of porosity between limestones and dolomites needs to compare similar initial f acies, that have been dolomitized by solutions with similar chemistries. For example, Schmoker et al (1985) compares dolomites (the bulk of which are from mid-lower Paleozoic) with limestones that are generally younger. ‘With this type of analysis, one can 126 not assess the differences in diagenetic imprints over time. Also it is not possible to assess porosity variances due to differences in original facies or due to differing dolomitizing solutions. Perhaps most dolomites initially have porosities similar to or even lower than their coeval limestones. Subsequent to the dolomitization episode, the unreplaced limestones will lose their porosity at a more rapid rate due to later cementation, or differences in pressure solution. Schmoker and Halley (1982) show that limestones from south Florida lose their porosity faster than their coeval dolomites due to the 'porosity reducing effects of burial". SUMMARY Dolomite porosity is the result of the interplay of factors influencing reaction kinetics. These factors include: I) the surface area of the substrate, 2) the saturation state of the solution, 3) temperature, 4) substrate mineralogy, and 5) the effect of inhibiting ions. The flux of ' bicarbonate also affects dolomite porosity in that it influences the amount of dolomite that can be precipitated. The relationship between the bicarbonate flux, the surface area of the substrate, the solution chemistry, and the other factors influencing reaction kinetics and dolomite cementation are not clearly understood. The precise conditions under which any of the other kinetic effects listed may become the dominant textural (and therefore porosity) control are not known. The affects that the substrate surface area, the saturation state of 127 the solution, and the flux of solute had on the resultant porosity of a dolomite were studied. The flux of bicarbonate determines the amount of dolomite cement that may be precipitated. The surface area of the substrate affects the porosity of a dolomite, in that it influences the nucleation rate of the dolomite. A high surface area substrate leads to a high nucleation rate and a low surface area leads to a low nucleation rate. A high nucleation rate leads to tightly packed dolomite crystals. A low nucleation rate leads to more loosely packed dolomite crystals. The saturation state of the solution also has an influence on the nucleation rate of dolomite. A high saturation state leads to a high nucleation rate, and a low saturation state leads to a low nucleation rate. In the Trenton dolomites and the Sero Domi dolomites, the surface area of the substrate has a control on the resultant porosity of the dolomite. The dolomitization of a finely crystalline (high surface area) limestone resulted in dense dolomite nucleation and a dolomite with porosities similar to or lower than the host. Dolomitization of a more coarsely crystalline (low surface area) limestone resulted in less dense dolomite nucleation and a dolomite with porosities higher than the host. In the Trenton Formation dolomites, a change in fluid chemistry of the dolomitizing solution had no significant influence on the resultant porosity of the dolomites. This is not to say, however, that solution chemistry changes would never have an influence on the dolomite porosity. Perhaps the change in saturation state that the Trenton Formation was subjected to was simply not large enough to produce any significant difference in porosity. The flux of the solute was not a limiting factor in the porosity evolution of the dolomites from the Eniwetok Atoll or the Sero Domi 128 Formation. The amount of dolomite cement present in these rocks could have been precipitated in geologically reasonable time frames by reasonable concentrations of bicarbonate in solution. CONCLUSIONS The porosity of a dolomite is the result of the interplay of many factors that influence reaction kinetics. These factors control the texture and therefore the porosity of the resultant dolomite. The flux of bicarbonate through the system also affects dolomite porosity in that it influences the amount of dolomite cement that can be precipitated. In this study, the effect of two of factors influencing reaction kinetics; l) the surface area of the substrate and 2) the saturation state of the solution were examined. The first conclusion is that the surface area of the substrate is a dominant control on dolomite texture and therefore porosity in these rocks. Finer-grained substrates that were dolomitized, resulted in dolomites with a low porosity. This occurred due to the high concentration of dolomite nuclei and the subsequent impingement of the numerous crystals with growth. Coarsely grained substrates resulted in textural reorganization and the development of more porous dolomites. This occurred due to the low concentration of dolomite nuclei, which led to more coarsely crystal line dolomite rhombohedra. The surface area of the substrate can be shown to affect other textural features in a dolomite. These features include: i) rhombohedra size variations within a sample, 2) fossil moldic porosity and 3) textural preservation and/or textural obliteration. 129 Second, that the change in saturation state did not appear to have an influence on the porosity of the dolomite. Third, that the flux of bicarbonate through the system is not always a limiting factor in the evolution of dolomite porosity. The dolomitization process can either create, mimic or destroy porosity. The ultimate porosity of the dolomite is the result of the interplay between differences in the substrate surface area and the chemistry of the dolomitizing solution. APPENDIX I APPENDIX I COI‘IPARISON 0F COHPENSATED NEUTRON LOG POROSITY WITH WHOLE CORE POROSITY The following is a comparison of the whole core porosity with the compensated neutron log porosity. All of the logs in the area were run by Schlumberge, so that no correction is needed in comparing logs from different wells. In this comparison, since there are different correction factors involved in determining the porosity of limestones and dolomites from the logs, the simplest and least confusing way to compare the porosities is to compare the neutron porosities with a core that has all one lithology. In this case, the Total Petroleum Luck l-12 well was chosen because the cored interval was completely dolomitized. In comparing the porosities listed below, one must keep in mind that the compensated neutron log porosities are an average porosity of the formation near the borehole, whereas the whole core porosity is an average over a smaller area. Therefore any localized deviations from the norm will be more apparent in the whole core porosity values. 130 131 TABLE AI-l. COHPARISON OF COHPENSATED NEUTRON AND WHOLE CORE POROSITY OF THE TRENTON DOLOMITES. Depth Compensated Neutron Whole core (F 900 Percent Porosity Percent Porosity 4842 0.9 4883 0.8 4844 0.5 1.1 4845 1.4 4846 0.9 1.0 4847 1.9 4848 1.7 2.2 4849 1.4 4850 1.7 2.0 4851 1.9 4852 2.0 2.4 4853 2.8 4854 2.5 2.7 4855 2.6 4856 3.0 2.9 4857 3.5 4858 2.5 5.3 4859 4.5 4860 2.0 6.4 4861 3.7 4862 4.4 4.3 4863 2.7 Table Al-l (cont'd.) 4864 4865 4866 4867 4868 4869 4870 487 1 4872 4873 4874 4875 4876 4877 4878 4879 4880 488 1 4882 4883 4884 4885 4886 4887 4888 132 10.1 7.5 4.4 6.8 3.9 3.9 3.0 3.0 3.0 3.4 2.5 5.0 2.5 2.9 1 .8 1 .6 8.9 5.9 8.9 3.8 3. 1 3.3 5.2 8.3 6.4 2.9 3.2 3.4 3.7 3.6 3.5 3.9 2.7 3.7 4.0 3.3 4.8 3.3 Table Al-l (cont'd.) 4889 4890 4891 4892 4893 4894 4895 4896 4897 4898 4899 4900 4901 4902 4903 4904 4905 4906 4907 4908 4909 4910 4911 4912 4913 133 31 122 L4 L4 21) 21) 21) 51) 31) 122 21) 21) I36 I32 I33 2A1 ‘43 I36 I34 I36 40 25 27 29 4A 35 38 23 30 37 48 30 23 32 32 38 31 Table Al-l (cont'd.) 4914 4915 4916 4917 4918 4919 4920 4921 4922 4923 4924 4925 4926 4927 4928 4929 4930 4931 4932 4933 4934 £9.25 Mean 51) 134 213 :25 31) 51) ‘44 31) 21) :25 :25 :25 ‘44 31 L8 Mean 511 31) 27’ 31) 134 511 71 3A1 31) 31 ‘46 5A1 51 138 I36 :25 31) 21 21 :23 215 215 §J_ 235 L5 93 135 A student T test indicates that the two methods of porosity analysis are not significantly different. APPENDIX 11 APPENDIX 11 WHOLE CORE POROSITY AND PERMEABILITY ANALYSES OF THE TRENTON FORMATION CARBONATES TABLE All - 1. WHOLE CORE DOROSITY AND DERMEABILITY ANALYSES OF THE TRENTON FORMATION. 5 10 th Porosit Permeabilit Lithol m Dep V Max. 90 Deg. 09y Total Luck 1-12 1 40430-440 0.0 0.2 <01 Ds,Sl/Anhy 2 40440-450 1.1 <01 <01 Ds,Sl/Anhy 3 40450-400 1.4 <01 <01 Ds,Sl/Anhy 4 40400-470 1.0 <01 <01 03,51/Anhy 5 4047.0-400 1.9 0.0 0.2 Ds,Sl/Anhy 0 4040.0-490 2.2 0.2 0.1 08,5l/Anhy 7 40490-500 1.4 0.4 <01 03,51/Anhy 0 40500510 2.0 <01 <01 03,51/Anhy 9 40510-520 1.9 <01 <01 0351771111117 10 40520-530 2.4 <01 <01 0051711111117 1 1 40530-540 2.0 <01 <01 Ds,SI/Anhy ' 12 40540-550 2.7 0.1 <01 03,51/Anhy 13 49550-500 2.0 0.1 <01 03,51/Anhy 14 4050.0-570 2.9 0.1 <01 Ds,Sl/Anhy 15 40570-500 3.5 <01 <01 03 10 40500-590 5.3 1.0 0.4 03 17 40590-000 4.5 0.5 0.1 03 10 40000-010 0.4 1.0 1.0 03 19 40010-020 3.7 0.3 0.1 03 20 40020-030 4.3 0.7 0.5 03 21 40030-040 2.7 9.2 1.5 05 22 40040-050 2.9 1 1.0 0.1 05 23 40050-000 1.0 <01 <01 0: 24 40000-070 1.0 * <01 03 25 40070-000 0.9 27.0 9.1 DsPyrite 136 Table AII-l (cont'd) 26 1'0 ‘1 28333385882833888 83$ 83285338853153?! 48680-690 48690-700 4870.0-71 .0 4871 0-720 48720-730 48730-740 48740-750 48750-760 48760-770 48770-780 4878.0-790 48790-800 4880.0-81 .0 4881 0-820 48820-830 48830-840 48840-850 48850-860 48860-870 48870-880 48880-890 48890-900 48900-91 .0 4891 .0-920 48920-930 48930-940 48940-950 48950-960 48960-970 48970-980 48980-990 48990-000 49000-01 .0 4901 .0-020 49020-030 49030-040 49040-050 49050-060 5.9 6.9 3.8 3. I 3.3 5.2 8.3 6.0 2.9 3.2 3.4 3.7 3.6 3.5 3.9 2.7 3.7 4.0 3.3 4.8 3.3 3.6 3.2 3.3 2.4 4.3 3.6 3.4 3.0 4. l 2.5 2.7 2.9 4. I 3.5 3.8 2.3 3.0 137 1 0.0 6.6 0.4 <0. 1 <0. I 0. 1 0. 1 1 5.0 <0. 1 <0. 1 0.5 2.0 <0. I 0.5 <0. I <0. I <0. I 0.3 0.3 63.0 <0. I <0. 1 <0. I 0. I <0. 1 0. 1 <0. I 0.6 <0. I <0. I <0. I 0.3 0.3 0.5 0. 1 <0. I 5.7 4.4 0.2 <0. I <0. I <0. I <0. 1 9.7 <0. I <0. I 0.4 <0. I <0. I <01 <0. I <0. 1 <0. I 0.2 0.1 0.2 <0. I <0. I <0. 1 <0. I <0. I <0. 1 <0.1 <0. I <01 0.4 <0. I <0. I <0.1 0.1 0. 1 0.4 <0. I <0. I Ds,1>yrite Ds,l>yr'ite Ds,l>yrite Us 05 9989893939888 5 < #1 S’EES’EE’ESSS’S’E’S’S’SES’S’ 138 Table All-l (cont'd) 64 4906.0-070 3.7 0.1 <0. I 03 65 49070-080 4.8 2.8 1.1 08 66 49080-090 3.0 <0. I <0. I 03 67 49090-100 2.3 0. I <0. I 03 4910.0-1 I .0 3.2 1.9 <0. I Os,V/F 69 491 I .0- 12.0 3.3 0.2 0. I 03 49120-130 3.0 0. I <0. I 03 71 49130-140 3.1 <01 <01 03 4914.0- 15.0 3.0 <0. I <01 08 4915.0- 16 0 2.7 <01 <01 03 74 4916.0- 17.0 3.0 0. I <0. I 03 49 I 7.0- 1 8.0 3.4 0. I <0. I 03 76 4918.0- 19.0 5.4 2.7 <01 03 49 19.0-20.0 7. I 18.0 2.0 05,51/Lmy 78 4920.0-210 3.4 <0. I <0. I 08 79 4921 .0-220 3.0 0.5 0.2 OS 80 49220-230 3. I <0. I <0. I D8,SI/Lmy 81 49230-240 4.5 0.3 0.2 03 82 49240-250 5.4 0.5 0.3 Ds,SI/Lmy 83 4925.0-26 0 5. I 0.3 0. I 03 84 49260-270 3.8 0.5 0.3 08 85 49270-280 3.6 <0. I <0. I 03 86 49280-290 2.5 <0. I <0. 1 OS 87 49290-300 3.0 <0. I <0. I D3 88 4930.0-310 2.1 <0. I <0. I 03 89 4931 0-320 2.3 <0. I <01 D3 90 49320-330 2.6 0.2 0. I 03 91 49330-340 2.5 0.4 0. I 03 92 49340-350 3. I 0.4 0.3 03 Tgtgl Emil F ist -l2 1 50240—250 0.2 0.2 0.1 10517030175011) 2 50200-270 0.2 <01 <01 13,5170». 3 50200-290 0.4 0.2 <01 15517001771 4 50300-310 0.4 <01 <01 13,5170: 5 50310-320 0.2 <01 <01 Ls,SI/Ds 139 Table All-l (cont'd.) 6 50320-330 0.3 <0. I <0. I Ls,SI/Ds 7 50330-340 0.4 15.0 <0. I Ls,51/Ds,V/F 8 50340-350 0.3 <0.l <0. I Ls,Sl/Ds,V/F 9 5035.0- 36.0 0.5 <0. I <0. I LsSl/DsN/F 10 5036.0-370 0.4 <0. I <0. I Ls,Sl/Ds,V/F l l 50370-380 0.2 <0. I <0. I Ls,SlIDs l 2 50380-390 0.3 <0. I <0. I Ls,SIIDs l 3 50390-400 0.2 <0. I <0. I Ls,Sl/Ds 1 4 5040.0-4 I .0 0.3 <0. I <0. I Ls,SI/Ds 15 504 1 .0-420 0.4 <0. I <0. I Ls,Sl/Ds 1 6 50420-430 0.2 <0. I <0. I Ls,SI/Ds 17 50430-440 l .2 5.4 <0. I Le,SI/Ds,V/F l 8 50440-450 0.3 <0. I <0. I Ls,Sl/Ds l 9 50450-460 0.7 ’1‘ <0. 1 1.551105 20 50460-470 0.4 <0. I <0. I LsSI/Ds 21 5047.0-480 0.2 ’“ <0. 1 L5 22 50480-490 0.4 <0.1 <0. I Ls,Sl/Ds 23 50490-50 0 0.7 <0. I <0.l Ls,Sl/Ds 24 5050.0-5 I .0 0.? <0. I <0. 1 L503 25 5051 0-520 0.8 <0. I <0. I Ds,Lmy 26 50520-530 0.4 ’1‘ <0. l 1.3 27 50530-540 l .8 0| <0. I 051/151!ng 28 50540-550 1.7 <01 <01 05,51!ng . 29 5055.0-560 l . I yr,V/F Day/F Da,WI-' De,V/F Ds,SI/ng,V/F 03,51 Ing,V/F Table All-I (cont'd.) 82 83 84 85 86 87 88 89 90 9 I 92 93 883883 100 101 102 103 104 105 106 107 108 109 110 III 112 113 114 115 116 117 118 119 51 09.0- I 0.0 51 10.0- 1 I .0 51 I 1.0- 12.0 51 12.0- 13.0 51 130- I 4.0 51 140- 15.0 51 15.0- 16.0 51 16.0- 17.0 51 170- 18.0 51 180- 190 51 19.0-20.0 51 20.0-21 .0 51 2 I .0-220 51 22.0-23.0 51 23.0-24.0 51240-250 51250-260 51260-270 51 27.0-28.0 51 280-29 0 51290-300 51300-3 I .0 51 31 .0-320 5132.0-330 51330-340 51 340-350 51350-360 51360-370 51370-380 51380-390 51390-400 5140.0-4 1 .0 514 1 .0-420 51420-430 51430-440 51440-450 5 I 45.0-46.0 5146.0-470 2.6 7. I 1 0. 1 8.3 6.3 4.0 3.2 3. I 2. I 1 .3 2.3 5.3 3.4 2.7 2.4 I .7 2.4 2.5 4. I I .7 4.5 2.3 3. I 5.3 2. I 3.6 3.6 1 .5 3.6 0.9 0.5 0.3 0.6 0.9 I . I I . I 1 .5 2.3 141 X 563.0 4.7 202.0 0.4 30.0 1 27.0 254.0 0. I 84.0 <0. 1 4.6 6.5 <0. I 0.2 37.0 0.2 0.2 0. I 0.2 0. I 0.3 <0. I 0.3 <0. I 0.3 <0. I <0. I <0. I <0. I <0. I <0. I 2.5 <0. I I .7 <0. I 0.2 44.0 <0. I 19.0 2.0 <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I Day/F 05,51!ng,V!F 03,Lmy,51!ng,V!F 05,Lmy 05,Lmy,51 Ing 03,51!ng 03,51 !ng,V!F 05,51 !ng,V/F 051,51!ng 03,51!ng,V/F 05,51N9y Ds,I.my,51!ng,V!F Da,l.my,51!V9y 05,Lmy,51 Ing 05,Lmy,Sl!ng Ds,Lmy,Sl/ng 05,Lmy,5l!ng, Ds,Lmy,SI!ng,V!F Ds,Lmy,SI !ng,V!F Da,l.my,51 Ngy Ds,Lmy,Sl!ng,V!F 03,51!ng Ds,Lmy,Sl!ng,V!I-' 05,51Ngy,V/F Ds,Lmy,SI!ng,V!l-’ 05,Lmy,SI/ng,V/F Ds,l.my,51!ng,V!I-' Ls,SI!Ds L5,Ds 1.303 L305 L5 L5 L5 L3 L5 L3 L5 Table AII-I (cont'dl I20 I21 122 I23 I24 125 126 127 128 I29 130 I31 132 133 134 135 I36 I37 138 I39 140 I41 142 143 144 145 146 147 I48 I49 150 151 152 153 154 155 156 157 S I 47.0-48.0 51 48.0-49.0 51 49.0-50.0 51 500-5 1 .0 515 1 .0-520 51 52.0-53.0 51 53.0-54.0 51540-550 51 55.0-56.0 51 56.0-57.0 51 57.0-58.0 51 58.0-59.0 51 59.0-60.0 51 600-61 .0 51 61 .0-620 51 620-630 51 63.0-64.0 51 64.0-65.0 51 65.0-66.0 51 66.0-67.0 51 67.0-68.0 51 68.0-69.0 51 69.0-70.0 51 70.0-71 .0 51 71 .0-720 51 72.0-73.0 51 73.0-74.0 51 74.0-75.0 51 75.0-76.0 51 76.0-77.0 51 77.0-78.0 51 78.0-79.0 51 790-80 0 51 80.0-81 .0 51 81 .0-820 51 82.0-83.0 51 83.0-84.0 51 840-850 I .3 0.2 0.8 0.5 0.8 0.8 0.7 2. I I .6 2. I 6.3 4. I 4.3 7.3 5.5 4.4 0.2 2.0 6.7 4.5 2. I 2.5 4.7 3.8 3.4 3.4 4.8 2. I 3.0 2.3 0.4 0.9 0.3 0.3 0.4 0.3 0.3 0.5 142 <01 <0. I 0.2 <0. I <01 4.1 0.1 0.2 14.0 207.0 0.1 1.3 <01 0.1 <0. I 6.3 0. I 0.3 0.2 3.5 1 47.0 43.0 <0. I <0. I <0. I 0.4 <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I <0. I I .5 <0. I <0. I 2.5 0.3 <0.l 0.2 <0. I <0. I <0. I <0. I 2.0 <0. I <0. I <0. I 2. l 0. l 1.8 <0. I <0. I <0. I <0.l <0. I <0. I <0. I <0. I <0. I <0.l <0. I <0.1 <0.1 L3 L3 Ls,SI!Ds Ls,SI!Ds Ls,SI!Ds L505 L303 03 05,51!Lmy Ds Day/F 05,V!F Ds Ds,Lmy 05,Lmy 03,Lmy Ds,Lmy 03 03 D: 03 Us 05 Ds,V!I-' Ds,SI!Lmy,V!F 05,51!Lmy,V/F 05,51!Lmy 05 03 03 1.503 1.505 1.503 Ls,SI!Ds Ls,Sl!Ds L305 1.305 1.303 Table All-l (cont'd.) 158 159 160 161 162 163 164 165 166 167 168 169 I70 171 172 I73 I74 175 I76 177 51 850- 86.0 51 86.0-87.0 51 91 .0-920 51 95.0-96.0 51 99.0-00.0 5231 .0- 32.0 52340-350 52390-400 52430-440 52440-450 52450-46 0 52460-470 5247.0-480 52480-490 52490-500 52500-51 .0 5251 .0-520 52520-530 52530-540 52540-550 Total flermon-Lyck l-l 04001-50110‘ GAun~oo 49650-660 49660-670 49670-680 49680-690 49690-700 49700-71 .0 4971 .0- 72.0 49720-730 49730-740 49740-750 49750-760 49760-770 49770-780 49780-790 49790-80 0 0.3 0.4 0.7 0.5 0.2 4.3 3.5 2.2 0.7 0.6 2.2 5. I 9.2 3.3 2.0 1 .7 6.2 0.9 1 .4 1 .7 0.9 1.1 1.1 1.1 1.0 1.1 1.3 2.0 3.2 1.4 1.3 1.5 1.3 1.3 0.9 143 <0. I <0.l <0. I <01 <01 <0. I 0.3 O. I (0.1 <0.1 <0. I 0.5 201.0 <01 <01 <0.l 0.3 <01 <01 <01 *************** <0. I <01 <01 <0. I <01 <01 <01 <0. I <0. I <01 <0.1 0.3 172.0 <01 <0. I <01 <0. I <0. I <01 <01 <0. I (0.1