I I I I I I IIIIIIIII I I TH . A PETROGRAPHIC INVESTIGATION OF VERTICAL DEPOSITION WITHIN THE MASON ESKER RELATIVE TO ITS ORIGIN Thesis fol H10 Degree 9! M. S. MIG-IIGAN STATE COLLEGE Mariwie Louise McCaIIum I949 IIII IIIIIIIIIIIII II 9300 00671 0978 d This is to certify that the , thesis entitled ”fl/ro9rg/lnc, /rr Viral/9A,!Iaov 01/ YP/%’rfl/ flf/Ofl’lcg‘i “1,451., *4; Mfllow Eduépr- PP/Aslirc. A ”A, 0/I9’s4‘ presented by [/flf/IP/Z. [if/IAI/um fl/A/f has been accepted towards fulfillment of the requirements for [ii—degreein 6’0/09? X 3/ . / . Major professor ”744; Zé /4¢? / Date Q‘wt.. ‘- _ . s _- '; . ’9 e .2 a?” A PETROGRAPHIC INVESTIGATION OF VERTICAL DEPOSITION WITHIN THE MASON ESKER RELATIVE TO ITS ORIGIN by Marjorie Louise McCallum A THESIS Submitted to the School of Graduate Studies of Michigan State College of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Geology and Geography 1949 ,4 W .s' A“' Acknowledgements The writer wishes to express thanks to Dr. B. T. Sandefur, who suggested the problem and gave freely of his time and assistance in the laboratory. Thanks are also due Dr. S. G. Bergquist. and Dr. J. W. Trow, who assisted in the prepar- ation of the manuscript, and Mr. F. V. Monaghan who aided in constructing the maps and graphs. 31781? Table of Contents P380 IntPOduction ---- ............ do--- 1 Location ------------------------- 4 Laboratory Procedure ---- ------ ~-- 6 Splitting -~-------------—--- 6 Washing - ------------ -é------ 6 Sieving ------- --- ---------- - 7 Leaching -----e-------------- 10 Gravity Separation ~--------- 10 Mounting Slides --- ------- --- 12 Microscopic Investigation -------- 13 General --------------------- 13 Heavy Minerals -------------- 13 Mineral Descriptions ------ -- 16 Roundness and Sphericity ---- 20 Conclusions - ------ --------------- 23 ’ K in... ..i ‘- Table Table Table Table Figure .Figure Figure Figure Figure Figure Figure Figure Figure I : II III IV <0 a: -e es en .s on as .u 0. List of Illustrations Sorting, Skewness, and Kurtosis ------ Heavy Mineral Frequency-Size 100 ---- Heavy Mineral Frequency-Size 150 ---- Heavy Mineral Frequency-Size 200 ---- Areal Extent of the Mason Esker ----- Weight Percent Analysis of Sand ----- Generalized Cumulative Curve -------- Percent of Carbonate in Sand --- ----- Percent of Heavy Minerals in Sand --- Roundness and Sphericity Values 9~--- Heavy Mineral Frequency-Size 100 ---- Heavy Mineral Frequency-Size 150 ---- Heavy Mineral Frequency-Size 200 ---- 26 27 28 29 30 31 52 35 34 35 57 58 59 . ‘I Introduction The differences of opinion among glacial geologists regarding the origin of eskers has prompted the writer to undertake this investigation in an effort to discover whether petrographic methods of study of sediments will be of value in determining the origin of a particular esker. The general term esker is applied to a rather wide variety of ridge-like accumulations of stratified glacial drift. Although alike in having been formed during a stage of deglaciation, they almost certainly have a number of different origins. The characteristic esker is a steep-sided, narrow- crested and more or less sinuous ridge, which rises as much as 150 feet above the surrounding country. In general, the lateral slopes approximate the maximum.angle of repose for gravel. In some localities the ridge is un- interrupted for long distances, but in other places it is discontinuous. An esker system, including all the esker ridges attributable to a single glacial river or drainage system, may be as much as 150 miles in length. Sand and gravel are the chief constituents of most eskers although silt and boulders are present in some. A variety of hypotheses have been formulated to account for the formation of eskers, although most authorities are agreed that they were deposited by glacial streams during some phase of deglaciation. The chief proponent of the subglacial channel theory is W.M. Davis.* s Davis, W.M., The subglacial origin of certain eskers: Boston Society of Natural History, Proceedings, vol. 25, 1893. pp. 477-499. His explanation assumes a stagnant marginal zone of the ice sheet. Water from basal and surface melting of the ice flows into subglacial streams through crevasses. A considerable amount of englacial and subglacial detrital material is gathered into these streams. Some of this material is deposited in the stream bed as a result of overloading or through the sorting action of water. In the event that the stream is diverted, the deposit will be left in the abandoned tunnel. Protected by the sur- rounding ice walls, it will gradually develop the lateral slopes characteristic of eskers, and be left intact as the mass of ice melts down by ablation. Opposing Davis's subglacial channel theory is the superglacial strewn theory, proposed by Crosby.* * Crosby, W.O., The origin of eskers:.§pston society of Eatural History, Proceedings, vol. 30, 1902. pp. 375-411. Like Davis, however, he propesed that eskers were formed near the marginal zone of a stagnant ice sheet. At the outer border of the ice the gradient of a superglacial stream.is controlled by a barrier of rock or till against which the ice may temporarily terminate. This barrier determines a base level below which the stream.cannot cut by mere mechanical erosion. Thus a main stream, accumulating the detritus of its tributaries, becomes clogged and aggraded. As the ice thins and finally dis- appears, the stream bed is gradually lowered in toto- to the ground surface. Still another possibility for the origin of eskers is offered by Trowbridge.* e Trowbridge, A.D., The formation of eskers: Scfence, n.s. vol. 40, 1914. p. 145, abstract. He suggested that eskers are in reality nothing more than drawn-out kames. The term kame is applied to small outwash cones built out from ice which later collapsed, isolating the masses in irregular mounds. Since kames are usually associated with interlobate moraines, while eskers are related to ground moraines formed during intervals of stagnation or retreat, he concluded that the development of esker forms is dependent upon the rate of recession of the ice front. Thus, streams discharging from.the ice front build up small outwash cones at the ice margin. As the ice retreats the cones form successive segments of a serpentine-like ridge, called an esker. A further explanation of eskers is suggested by R.F. Flint,e ’ e Flint, R.F., Glacial Geology and the Pleistocene E och, Appleton-Century Co., 1947. p. 153. who notes that several glacial deposits which have been described as eskers are actually crevasse fillings. Undoubtedly several or all of these theories must be employed to account for the large variety of esker types found scattered over glaciated areas. Location The Mason esker, approximately twenty miles in length, is one of the longest observed in Michigan. It heads in a gravel pit at the corner of Main and Shepard streets in southeastern Lansing, and extends southeast- wardly through Holt and Mason. Its southern terminus is obscured in the Charlotte morainic system southeast of Mason. The ridge varies in height from.thirty to fifty feet above the adjoining till plain, and often extends thirty to forty feet below the water table, where it widens as much as 400 feet. The esker has been described at some length by Leverett,* e Leverett, F., and Taylor, F.B., The Pleistocene of Indiana and Michigan and the history of the Great Lakes: U.S.G.S. Monograph as, 1915. pp. 209-211. o-uh —~--- o—O—w who writes: "The esker, wherever opened, is composed of stratified and more or less perfectly assorted material. It gives evidence of the action of a stream which varied greatly in the rapidity of flow in different places along a given horizon, both longitudinally and from side to side, as well as at different horizons. The phenomena dis- played are not unlike those found in the beds of existing streams flowing subaerially. The esker is evidently a streamsbed deposit, though probably deposited within ice walls." The present investigation is limited to a single vertical section through the Mason esker at a point approximately mid-way between the northern and southern termini. A recent cut, located Just east of the inter- section of Aurelius and Miller roads in Lansing Township, t was selected as affording the best side for the sampling of a complete and nearly vertical section. Samples were collected from.the north face of the out. After the slumped and weathered material had been scraped away, channel samples approximately six inches wide were col- lected from.top to bottom, beginning at the top of the out, immediately below the deepest zone of soil develop- ment. Each five foot sample was placed in a quart Jar, covered, and labeled. Ten different samples, represent- ~ r1- ing fifty feet of section, were collected. Laboratory Procedure Splitting The field samples were numbered fromione to ten, with sample one representing the first five feet from the top, and so on. Approximately one half of the field sample was taken for study, and the remainder retained for reference. The samples were quartered by hand, using the method described by Krumbein.* * Krumbein, W.C., Manual of SedimentaryPetrography, Appleton-Century Co., 1938. p. 44. The sample was poured into a conical pile on a large sheet of smooth paper and cut with a small spatula into four quarters. Alternate quarters were retained and recombined. Wherever necessary, the process was repeated until a workable amount was obtained. This method was followed whenever splitting of the sample was necessary. Washing The sample thus obtained was washed in a solution of potassium.hydroxide to remove the clay particles. The solution was decanted, taking care not to remove the fine sands,until the water ran clear. The washed samples were air dried and then passed through a twenty mesh sieve to remove the gravel. Each sample was thus concentrated to contain only the sand sizes. Sieving The sediment which passed through the twenty mesh sieve was quartered to 100 gram samples and sieved in the Ro-Tap automatic shaker for eight minutes. The shaker was equipped with five sieves having 48, 65, 100, 150, and 200 openings per square inch. A pan was placed at the bottom to catch the material passing through the 200 mesh sieve. The sands were thus separated into six grade sizes, each of which was weighed and placed in properly labeled vials. The mechanical composition of the ten samples is shown in Figure 2. Grade sizes are designated according to the mesh.of the various sieves. The results of the weight percent analysis show a decided difference from.sample to sample. Such changes in curves may be expressed in terms of quartile devia- tions. Krumbein e * Krumbein, W.C., The use of quartile measures in describing and comparing sediments: American Journal of Science, vol. 32, 1956. pp. 98-111. -_ gives a good resume of the application of statistical Inethods to description of sediments. Three attributes of the normal curve are considered, namely, sorting, skewness and kurtosis. Conventionally, the geometric measures of these properties are used, as they yield results which are independent of the size factors and units of measure- ment. Five values usually suffice for the computation of the measures. They are the median, the first and third quartiles, and the tenth and ninetieth percentiles. The relationships of these values are shown in Figure 3. Each is read directly from.the cumulative curve of the size distribution. The median, M, is defined as that diameter which.is larger than fifty percent of the diametas in the distribution and smaller than the other fifty per- cent. Its value corresponds to the point where the fifty percent line crosses the cumulative curve. The first quartile,Ql, is that diameter which has 25 percent of the distribution larger than itself and 75 percent smaller than itself. It corresponds to the frequency line of 25 percent. The third quartile, Q5, is that diameter which has 25 percent of the distribution smaller than itself and 75 percent larger than itself, and corresponds to the 75 percent frequency line. Accordingly, the tenth percen- tile corresponds to the ten percent frequency and the ninetieth percentile to the ninety percent frequency line. Sorting is defined as the square root of the ratio of the two quartiles and is found by the formula: 0n the basis of nearly two hundred analyses, Trask * ’— e Trask, P.D., Origin and Environment of Source Sediments ofggetroleum, Houston, Texas, 1952. pp. 67 ff. found that a value of 'So' less than 2.5 indicates a well sorted sediment, a value of about 3.0 a normally sorted sediment, and a value greater than 4.5 a poorly sorted sediment. The sorting values of the ten samples from.the Mason esker are shown in Table I, and indicate a well sorted sediment at each horizon. Skewness is a measure of the extent of departure of the median, or fifty percent frequency, from.the point half way between the two quartiles. It is developed from the formula: I Q q'" Sk 3 ‘—;§§—' H When the curve is symmetrical, skewness is equal to unity. Values less than one indicate that the curve is skewed to the left, or larger sizes, of the distribution. Values greater than one indicate skewness to the right. Thus the skewness values indicate whether the bulk of the sedi- ment is composed of larger or smaller size grades. The values for the Mason esker samples are shown on Table I. The results indicate that the sediment is concentrated in the larger sizes to a considerable degree. Kurtosis is a measure of the degree of peakedness 10 of a curve. It rolves a comparison of the spread of the central position of the curve to the spread of the curve as a wh01e. Kurtosis is the ratio of the quartile deviation to that part of the size range which lies between the tenth percentile, P10, and the ninetieth percentile, P90. Hence the formula: Q1- Q3 QIPlo‘Pgo) K: The equation yields values which decrease with increasing peakedness. The kurtosis values for the ten samples are shown in Table I. They indicate a high degree of peaked- ness for each sample. Leaching Each fraction of sand was digested in dilute hydro- chloric acid to remove any carbonate, the presence of which is objectionable in petrographic studies. The sme- ples were then washed, dried, and reweighed. The amount of carbonate present was computed from.the weight loss in each sample. These results are shown in Figure 4. Gravity Separation Approximately two grams of each of the four smallest size grades in the ten samples were placed in funnels containing bromoform (Sp. Cr. 2.87 at 20°C.). Due to the presence of dissolved alcohol, commercial bromoform is usually low in specific gravity, often below that of quartz. It is thus necessary to wash commercial bromoform 11 with water in order to raise the specific gravity suf- ficiently to effect the separation of quartz and feld- spar from.the heavier minerals. The method used was that described by Ross.* e Ross, 0.8., Methods of preparation of sedimentary materials for study: Economic Geolggy, vol. 21, 1926. pp. 454 ff. A large volume of water was added to the bromofonm- alcohol mixture in a two liter bottle. After vigorous shaking the heavy bromoform.phase separated out and the alcohol remained in the water phase. The water was then decanted and the process repeated two or three times. After the third decantation, the bromoformswater mixture was poured into a separatory funnel. The bromoform was then drawn off and run into a funnel fitted with several thicknesses of filter paper, which served to absorb any dispersed water which may have been present. The stems of the funnels used for the gravity separa- tion were fitted with short lengths of rubber tubing with pinchecock attachments. Below each was another funnel, fitted with filter paper, which in turn drained into a beaker. The sand was placed in bromoform in the top funnel, which was covered with a watch glass to prevent evaporation. The sand was stirred occasionally with.a glass rod to separate the individual grains and assure 12 a thorough separation of light and heavy minerals. Each fraction was then allowed to pass onto a filter paper in the funnel below. It was washed with alcohol, dried, and weighed. The bromoform washings retained in the beakers were combined and the bromoform was recovered as described above. The weight percent of heavy minerals in each sample is shown in figure 5. Mounting7811des Before mounting the mineral specimens on the slides, the magnetite present in the heavy fraction was removed with a small magnet. A random sample from the heavy fraction of each of the four smallest size grades was selected for mounting. The two larger grades were discarded for this purpose, as they were seen to contain a large proportion of broken rock fragments. Only the one largest grade was discarded in mounting the light minerals. The samples were mounted in a synthetic resin having a refractive index of 1.66. This medium was selected for two reasons. First, the index of 1.66 divides the range of indices of the heavy minerals into two more or less' equal parts. Secondly, since the index of the resin, 1.66, is much higher than that of quartz, 1.54-1.55, the clear quartz grains mounted in this medium possess considerable negative relief and thus show sharper outlines. This aided in.making the projection tracings from.which the sphericity 13 and roundness results were obtained. Microscopic Investigation General The macroscOpic study of this detrital sediment consists of identifying and counting heavy minerals, and determining the roundness and sphericity of the quartz grains in the light mineral fraction. A polariz- ing microscope was used as an aid in determining the minerals present in each mounted sample. This type of microscope permits obsgvation of the object by means of plane polarized light as well as by ordinary light. The slides were placed on a mechanical stage for counting the heavies. By means of two thumb screws the object slide could be moved in two directions for any given distance. This permitted changing from one field to an- other while counting without danger of overlapping. Heavy Minerals Of a total of twenty-two heavy minerals identified, only seven were common to all slides. The three smallest size grades for each of the ten samples were selected as most convenient for identifying individual minerals. An average of 300 grains per slide was counted, for a total of 9000 grains in all. The results of the count were converted to percentage frequency, and the figures are l4 diown in Tables II, III, and IV. Cumulative histograms were drawn for the ten most common constituents and are shown in Figures 7, 8, and 9. It may be interesting to note here some research carried out by Dryden.e *— * Dryden, A.L., Accuracy in percentage representation of heavy mineral frequencies: Natignal Acadggy:of Science Proceedingg, vol. 17, 1951. pp. 255-258. concerning the probable error made in counting only a limited number of grains from.a random sample. He develop- ed a formula which permitted the construction of curves showing the probable error in frequency percentages for counts ranging from 25 to 750 grains. Due to the nature of the curve, accuracy is shown to increase very slowly after a certain point. In most cases, a count of 500 individual grains per slide will yield satisfactory results. Since variations in frequencies of the minor con- stituents of heavy mineral suites are often significant, Hittenhouse s a Rittenhouse, G., Curves for determining probable errors in heavy mineral studies: National Research Couggil, 33 port of the Committee on Sedimentation, 1940. pp. 97-101. constructed curves showing probable errors for mineral . s k . .. I All .. v 7 II v .r,. I V t a 4. p. . . . e . I. II. .II 15 frequencies between 0.1 and 20 percent. The probable error increases considerably for the frequency of the rarer constituents. For example, with a frequency of ten percent computed for a single mineral and a total count of 500 grains, the observed frequency may deviate 1.5 percent from the actual or "true" frequency. However,, with a computed frequency of only one percent and the same 500 grain count, the deviation from the actual frequency may be as much as 5.9 percent. Since samples for this study were collected under the same conditions and in one area only, it may be assumed that such errors will be constant throughout the investigation, and may safely be disregarded in inter- preting the results. This probability of error is dis- cussed here for the purpose of pointing out that the mineral frequency percentages are only relative to the number of grains counted, and do not represent absolute values. The general term "aggregate“ has been applied to a large proportion of the material encountered on the heavy mineral slides. Upon investigation under high power, this material was found to be rock fragments cemented by quartz and hematite. Such compound aggregates are frequently encountered in the heavy fraction, and often included in the counts, even though the individual minerals are indistinguishable. 16 Mineral Descriptions Following is a list of the minerals found in the investigation of sediment taken from the Mason esker. The identifying characteristics have been compiled from several sources.e * Dana, E.S., Descriptive Mineralogy, John Wiley and Sons, Inc. 1914. Johannsen, A., Essentials for the Micrgscopical Detep; mination of Rock-forming_Minerals and Rocks, University of Chicago Press, 1914. Krumbein, W.C., op. cit. pp. 414 ff. Milner, H.B., Sedimentary Petrographz, D. Van Nostrand Co., 1929. pp. 97 ff. AA Hornblende: complex silicate of Ca,Na,Fe,A1,Mg Crystal system : Monoclinic Color : Var. Arfvedsonite- hlue-green Var. Common hbl.- green to ‘ brown Birefringence : .026-.027 Optic figure : biaxial negative Elongation : positive Pleochroism. : marked Distinctive features : grains elongate, pris- matic; color; pleochroism Garnet: complex silicate of MgFe,Al,Mn,Cr Crystal system.: Isometric Color ° colorless,pink,red,orange Distinctive features : isotropic; high relief; conchoidal fracture; color. Zircon: Zr02.3102 Crystal system : Tetragonal 17 Color : colorless to yellow Birefringence : .055-.059 Optic figure : uniaxial positive Elongation : positive Distinctive features : crystal form: high index; inclusions; parallel and complete extinction. Monazitg: (Ce,La,Nd,Pr)203.P205 Crystal system.: Monoclinic Color : yellow,brown,red Birefringence : .049-.05l Optic figure : biaxial positive Pleochroism. : faint Distictive features : color between crossed nicols same as in ordinary light; light yel- low color: high relief. Hypersthene: (Mg,Fe)SiO3 Crystal system : Orthorhombic Color : pale pink and green Birefringence : .009-.Ol6 Optic figure : biaxial negative Elongation : positive Pleochroism. : faint to marked Distinctive features : high relief; low bi- refringence: parallel extinction; pleochroism pink to green. Hematite: Fe203 (opaque) Distinctive features : irregular powdery aggregates; indian red by reflected light. Leucoxene: composition uncertain: alteration product of Ilmenite. (opaque) Distinctive features : rounded grains, often with unaltered core of Ilmenite; dead white color in reflected light. Epidote: Ca2(A1,Fe)3313012(OH) Crystal system : Monoclinic Color : greenish to lemon yellow Birefringence : .028-.O5l Optic figure : biaxial negative Pleochroism. : distinct 18 Distinctive features : color: distinct pleo- chroism; high index. Topaz: 2(A1,F)O.8102 Crystal system : Orthorhombic Color : colorless Birefringence : .008 Optic figure biaxial positive Distinctive features : irregular fractured grains; basal grains common; high relief; optic character. Stfilfl‘OlitO: ZFOO e 5A1203e 43102eH20 Crystal system : Orthorhombic Color : yellow,gold,brown Birefringence : .010 Optic figure : biaxial negative Pleochroism : marked Distinctive features : irregular, somewhat platy grains, determined by cleavage and subconchoidal fracture: color: pleochroism Rutile: T102 Crystal system : Tetragonal Color : yellow,reddish brown,red Birefringence : .287 A Optic figure : uniaxial positive Elongation : positive Pleochroism : faint Distinctive features : grains elongate, com- monly prismatic: high relief reulting in broad dark borders on grains; deep color: inclusions common. Titmito 3 CaO eTiOzeSiOz Crystal system : Monoclinic Color : pale yellow,light brown Birefringence : .154 Optic figure : biaxial positive Elongation : negative Pleochroism : weak Distinctive features : color; high index: extreme birefringence; euhedral grains Achipped and marked by conchoidal fracture; negative elongation: lack of pleochroism. 19 Chlorite: complex hydrous silicate of Mg,A1,Fe Crystal system Monoclinic (7) Color : dirty yellow green to green Birefringence : .OO5-.009 Optic figure : biaxial, negative and positive Pleochroism. : marked in thin section only Distinctive features : grains flat, rounded, irregular cleavage flakes; pale green color; weak birefringence; micaceous habit. Zoisite: 4Ca0.5A1203.6Si02.H20 Crystal system : Orthorhombic Color : colorless,rose,green,brown Birefringence : .006 Optic figure : biaxial positive Pleochroism : faint Distinctive features : colorless grains; high index; abnormal ultra-blue interference color. Tourmaline:complex silicate of Na,Ca,A1, Fe,Mg, with Li, Mn ,Cr,B,and OH Crystal system.: Hexagonal Color : yellow brown,dark brown,black Birefringence : .019-.052 Optic figure : uniaxial negative Elongation : negative Pleochroism : strong Distinctive features : color:p1eochroism; negative figure: grains usually irregular fractured pieces; east-west absorption. Biotite: complex hydrous silicate of K,Mg,Fe,A1 Crystal system : Monoclinic Color : brown,rarely green Birefringence : .050-.064 Optic figure : biaxial negative Pleochroism : marked in thin section only Distinctive features : In flakes varying from hexagonal to irregular: grains always yield perfectly centered pseudo-uniaxial negative cross; deep brown color; lack of pleochroism; inclusions with halos. §yanite: AlZSiO5 Crystal system.: Triclinic 20 Color . : colorless, pale blue Birefringence : .016 Optic figure : biaxial negative Elongation : positive Pleochroism : faint Distinctive features : Elongate grains of marked rectangular outline: conspicuous cross- cleavage; low birefringence; inclined extinction Olivine: (Mg,Fe)2SiO4 Crystal system.: Orthorhombic Color : colorless to pale yellow Birefringence : .057 Optic figure biaxial positive Distinctive features : fragments irregular; colorless with bright interference colors; clouded by decomposition products: rare ex- cept in recent sediments. Augite: complex silicate of Ca,Mg,Fe,Al Crystal system : Monoclinic Color : pale brownish grey Birefringence : .018-.045 Optic figure . biaxial positive Distinctive features : grains usually elong- ate, worn cleavage fragments; high index; high birefringence; high extinction angle; brown color. Apatite: Ca5(F,Cl)(PO4)5 Crystal system : Hexagonal Color : colorless Birefringence : .005-.005 Optic figure : uniaxial negative Elongation : negative Distinctive features : grains oval or nearly circular; low birefringence. Metals: includes - Magnetite: Fe304, Marcasite: FeSz, and Pyrite: FeS2 “ Distinctive features : opaque in transmitted light: metallic luster in reflected light. Roundness and Sphericity Roundness and sphericity are two factors of impor- 21 tance in the petrographic study of sediments. Wadell e * Wadell,H., Volume,shape, and roundness of rock parti- cles: Journal of Geology, vol. 40, 1952. pp. 445-451. v— apparently was one of the first investigators to distin- guish between these two characteristics. He pointed out that roundness is a measure of the sharpness of the corners of grains, whereas shape is the measure of the form of the grains independent of the sharpness of the corners. Wadell used the sphere as a standard of reference and employed the degree of sphericity as a measure of the approach of the form of other solids to the sphere. He also developed a method for measuring roundness and sphericity of quartz grains, which proves to be very time consuming. A more rapid and accurate method for measur- ing sphericity by means of projecting images of quartz grains was devised by Riley.* * Riley, N.A., Projection sphericity: Journal of Sedi- mentary Petrology, vol. 11, 1941. pp. 94-97. Geology students at Michigan State College combined the ideas of Wadell and Riley. Mr. G.T. Schmitt,* e Schmitt, G.T., personal communication a graduate assistant at Michigan State College, devoted 22 considerable time and effort investigating the problem, and is partly responsible for the development of the method used in this paper. He drew a concentric circle protractor similar to the one used by Wadell, but on white paper rather than on celluloid. By means of the camera lucida the images of the quartz grains were pro- jected to the concentric circle protractor which was inclined at such an angle as to prevent distortion of the images. It was then a simple matter to measure the diameter of the inscribed and circumscribed circles (sphericity) and the arc of the corners of each grain (roundness) directly. The size grade 65 was found to be the most desireable with which to work. About fifty grains, with an average of ten corners each, were measured for each slide. Roundness values were computed from Wadell's * fl * Wadell, H., op. cit., p. 448. formula: (réR) : P , where r is the radius of the corners R is the radius of the inscribed circle N is the number of corners measured P is the total degree of roundness For sphericity, the formula used by Riley e s Riley, N.A., 0p. cit., p. 96. 25 is: e, where d is the diameter of the inscribed circle D is the diameter of the circumscribed circle 5 is the sphericity of the grain The roundness and sphericity values thus obtained were averaged for each sample, and the results are shown in Figure 6. Conclusions In examining the results of the mechanical and petrographic analyses of the ten samples, representing a fifty foot vertical section through the Mason esker, it will be noted readily that each sample differs from the other in all of the characteristics investigated. All samples differ in their mechanical composition, as shown by the size grade analyses. Accordingly, the total weight percent of heavy minerals in each sample also varies. The wide variations obserfed in the carbonate content are undoubtedly due to the leaching action of ground water. An examination of the results of the heavy mineral counts hinges on two outstanding differences. Aside from their relative frequency, the suite of minerals found in each sample is distinctive. Of the twenty-two minerals identified, only seven are common to all slides. The remaining fifteen minerals occur irregularly throughout 24 all the slides. Further, there is a wide divergence in relative abundance of the seven minerals which are present in all slides. The roundness and sphericity averages show a similar lack of consistency throughout each five feet of sample. Thus, in all the characteristics investigated, the various samples appear to be quite different from.each other. This suggests that some sort of zoning or layer- ing exists in the esker deposit from.,! top to bottom, and the material in the deposit is consequently hetero- geneous in character. All evidence tends to support the theory that eskers are stream bed deposits, built up in subsequent layers by simultaneous deposition throughout their length. Whether these streams were subglacial or superglacial cannot, of course, be determined from the data available. Regarding the hypothesis that eskers are in reality "drawn-out kames", there is little in the results ob- tained in this investigation to indicate that this is true of the Mason esker. The origin of kames necessitates (deposition in a very short interval of time. Consequently the material encountered in a vertical section would be expected to be somewhat homogeneous. However, since no records exist of petrographic studies of kamic sediments, few conclusive comparisons may be made in this instance. Possibly a great deal of light might be shed on the 25 problem if similar studies of other glacial deposits were carried out. This investigation does show that petrographic methods of studying and comparing detrital sediments may very well aid in determining the mode of formation of an individual esker, although studies of other types:. of glacial sediments would be of great value for pur- poses of comparison. 26 TABLE I Sample Numbeg Sorting Skewness Kurtosis l 1.46 .506 .291 2 1.52 .540 .285 5 1.52 .508 .290 4 1.51 .508 .292 5. 1.66 .506 .282 -6 1.55 .505 .284 7 1.66 .517 .269 8 1.64 .505 .272 9 1.54 .508 .269 10 1.65 .505 .252 SORTING, SKEWNESS, AND KURTOSIS computed from cumulative curves of size grades IIIIIIIIVIII'I'IIIIII I 27 TABLE II HEAVY MINERAL FREQUENCY - SIZE 100 1152.95.31 Metals Aggregates Hornblende Arf‘sonite Garnet Ziroon Monazite Hypersthene Hematite Leucoxene Epidoten Topaz Staurolite Rutile Chlorite Zoisite Spodumene Tourmaline Biotite Kyanite Olivine Augite total 112......1 22.2 22.2 10.6 6.2 19.6 0.9 100% % EQLME. EQLME 7.5 % 22.2 % 25.1 19.5 15.5 15.1 15.5 9.0 15.7 15.4 1.5 1.9 6.0 5.5 5.0 5.0 5.7 5.6 6.0 2.2 5.6 0.5 1.5 0.5 100% 100% 32a.é 17.5 16.7 18.4 14.5 12.2 0.6 0.6 100% % NO e E giglfi 20.7 7; 17.6 15.1 17.6 18.2 18.7 11.7 7.2 17.0 9.7 0.9 5.6 8.5 0.9 1.1 5.8 2.5 2.8 2.5 0.9 5.1 1.9 0.5 1.7 1.1 1.7 . 4.5 100% 100% $21, No. 7 M 29.6%; 18.7 15.0 7.5 14.5 0.6 6.9 0.6 5.1 1.2 '2.5 0.5 0.6 100% No.J§ 14.6 25.6 22.4 11.2 9.0 0.4 4.7 4.5 0.9 100%' No. 5.4 % 51.4 22.7 8.5 6.0 1.5 4.1 5.8 1.5 5.8 100% 10 No. 5.8 55.7 22.5 10.7 6.1 1.5 0.6 5.9 5.2 1.9 100% % HEAVY MINERAL FREQUENCY - SIZE 150 Mineral Metals Aggregates Hornblende Arf'sonite Garnet Zircon Monazite Hypersthene Hematite Leucoxene Epidote Topaz Staurolite Rutile Titanite Chlorite Zoisite Spodumene Tourmaline Kyanite Olivine Augite total No. 1 27.8 % 20.0 12.5 10.6 0.5 100% 28 TABLE III —’-w 11.5 10.0 5.0 5.0 2.2 0.4 1007 H9. 5 21.4 17.4 0.6 100% % No. 4 m 27.4 % 15.7 % 15.5 15.9 11.0 0.5 100% No. 5 W 15.7 25.5 5.0 1.0 4.7 1.0 1.7 0.6 100% No. 6 m 19.9 % 14.7 19.4 9.7 11.7 7.7 2.1 5.0 4.5 2.7 100% No. 7 W 22.1 16.5 19.8 8.1 12.4 2.5 1.9 2.2 1.1 No. 8 10.6 % 19.5 19.6 18.4 10.2 0.4 5.4 '9.7 2.9 2.9 5.8 0.8 .5.8 0.5 0.5 10 . No. 9 24.4 21.5 18.8 9.1 0.9 1.8 4.2 6.5 1.4 1.8 0.6 0.5 2.1 165% 10 NOW 15.9 14.0 9.6 8.9 5.1 1.5 4.6 1.9 2.7 0.4 1.2 0.8 HEAVY MINERAL FREQUENCY - SIZE 200 1419.93.91 Metals Aggregates Hornblende Arf'sonite Garnet Zircon Monazite Hypersthene Hematite Leucoxene Epidote Topaz Staurolite Rutile Titanite Chlorite Zoisite Spodumene ‘Biotite Kyanite Augite Apatite total No. 1 52.1 10.0 8.2 4.7 8.6 0.4 100% % 29 TABLE 521.3 28.6 15.5 4.7 8.5 15.5 11.9 IV 0)’ /0 No. 5 25.9 9.2 14.4 14.8 No. 4 24.9 % l (.0 C51 0 1 OJ .7 (0 O3 0 o (\3 N (I) o (J3 01 ()3 {\3 0 O o N) No. 5 14.6 % 0.5 100% No. 6 25.7 % 8.7 10.6 5.9 8.7 6.2 6.2 5.0 1.0 6.2 5.0 0.5 1.5 0.5 0.5 0.7 0.5 0.5 0.5 0.5 100% No. 7 16.2 16.4 20.1 11.0 9.6 6.0 5.5 0.7 1.4 5.5 5.0 0.2 0.5 1.0 1.4 2.5 1.5 0.5 0.2 No. 8 18.9% 14.7 25.4 12.6 7.6 2.9 2.0 5.5 1.7 2.0 1.4 No. 9 m 28.0 % 6.8 14.7 12.1 8.0 6.5 5.7 4.8 2.0 2.8 2.8 0.5 1.1 0.8 2.8 0.2 100% No. 10 30.5 % 5.2 9.5 8.6 9.4 9.4 1.4 1.9 5.8 2.5 2.5 0.4 2.5 0.4 100% “ 50 MICHIGAN AURELIUS LEGEND E ESKER FIGURE 1 AREAL EXTENT OF LANS'NG THE MASON ESKER \I: INGHAM COUNTY,M|CH'GAN 1 SCALE ( .0 I 2 ‘ 3U|L£3 bid I'LL!“ '0‘ _\_ \ SECTION STUOIID 5 FIGURE 2 48 _s (V! sun 100% 90 80 70 60 50 4O 50 20 10 52 FIGURE 5 GENERALIZED CUMULATIVE CURVE 0F WEIGHT PERCENT showing relationships of percentiles quartiles and median as described in the text ....... l v .. .... “-4. ..... ..... ...... 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