A. VERTICAL MAGNETIC INTENSITY STUDY 05 THE GRAND RAPIDS ANOMALY I’hasis for {'he Degree of M. S. MICHIGAN STATE UNIVERSITY Jack C. Shvenscn 196$ THESIS QUIIMJN, I H 'Q‘ - HARE g‘iu ‘95:" “ME 3} IIIII LI I IBNUmao 4/ \ om>mmmmo « u>m=o .2255me loo/l m>mao . omxeoozm 23 the anomaly north of the high crest match very well both as to width and magnitude of the anomaly curve. A close inspection of the intensity and second derivative maps show this peak to be anomalous. A smooth curve drawn over the anomaly from control on the sides shows this peak to be highly anomalous to the rest of the curve. Therefore, this particular vertical cylinder was chosen as a first partial representative of the causative body. The original assumption of depth is supported by using both Peters' method and the half-width method on the 7300 foot depth theoretical curve. Both methods give depths in the same range as the previous attempts on the observed curve. This illustrates that Peters' method and the half-width method for depth determinations bothigive excess values on this type of feature. This close com- parison of values also suggests that the chosen theoretical depth is a good approximation of the actual depth. To extend further the ideal theoretical representation of the causative body the vertical field intensity map of the theoretical body was placed over the observed intensity map. It was found that additional magnetic sources were needed to adjust the theoretical map to the observed map. These sources were placed at the corners of the observed map and the effects were calculated and added to the theor— etical map until a close representation of the variation in the intensity of the anomaly could be found. The effects l Izw uw \ I \ \i \ \ \ \ \ / /\ ,. \\\ / 4 I I / \ PLAN VIEW OF ASSUMED BODY CAUSING THE GRAND RAPIDS MAGNETIC ANOMALY BASED ON INFINITE VERTICAL CYLINDERS O 2 L L‘ _‘ . o I -zmm 24 of several vertical cylinders were tried at each corner of the anomaly. The corner on the southwest was best fitted to a 7000 foot radius cylinder tangent to the body cylinder of the anomaly. Similarly a 6000 foot and a 4000 foot vertical cylinder were established at the southeast and northeast corners respectively. The northwest corner did not need any additional adjustment. The shape of the resulting body is shown in Fig. 4. These infinite vertical cylinders were all applied to form a resultant anomaly. The overlapping effects were algebraically summed with the cylinders in the assumed positions. The resulting anomaly when contoured and laid over the intensity map provides a very close fit, as shown in Plate 4. To determine the actual susceptibility of the causa- tive body it is necessary to add the calculated suscepti- bility contrast to the susceptibility value for the sur- rounding country rock. In this case it is assumed that the normal country rock is granite because nearly all wells in the Southern Peninsula of Michigan entering the Precam- brian basement encounter granite. The susceptibility of granite ranges fkwm1.00002'to .0029 (cgs). However, according to Jakosky (1950), 60% of granite samples have a measured susceptibility of less than .0001 (cgs). So taking a mean value for granite of .0001, the body causing the Grand Rapids anomaly has a susceptibility of .00563 (cgs). This susceptibility suggests a diabasic or basaltic 25 composition for this rock. Measurements of susceptibility by Mooney and Bleifuss (1953) and Jakosky (1950) suggest this range of composition. Basalt samples have more susceptibility values near the calculated susceptibility. Calculating the per cent of magnetite in the rock by the formula, % magnetite (vol.) = susceptibility of the rock/ susceptibility of magnetite (.3), gives a value of 1.9%. Therefore, the rock is likely a basic rock intruded into the basement complex, perhaps during the Keweenawan intru- sive period in late Precambrian as suggested by Hinze (1963). Quite possibly extrusives were issued from this source. A comparison may be drawn between the Grand Rapids magnetic anomaly and the Sauble anomaly of Lake County, Michigan as interpreted by Meyer (1963). Strong parallels do exist. The Sauble anomaly consists of a large magnetic anomaly which extends over several dozen square miles and the theoretical source of the feature is represented by a vertical cylinder. Strong differences also exist. The areal extent, magnitude, and the total representation of the Grand Rapids anomaly is greater than that of the Sauble anomaly. The depth to causative feature and the susceptibility contrast of the Sauble anomaly is greater than the Grand Rapids anomaly. The chief characteristic of the Sauble anomaly that is missing from the Grand Rapids anomaly is the large positive gravity anomaly associated with the magnetic anomaly. 26 In the Grand Rapids area the regional gravity was established by the Michigan State University Department of Geology (Hinze, 1963), see Plate 5. No detailed gravity data was available to this present study so interpretation is based solely on the observed magnetic data. The only gravity anomaly apparent on the regional gravity map is a small nose on the regional gradient. The anomaly causing this nose has a magnitude of about 1 milligal. The Sauble anomaly shows a gravity residual anomaly of over 20 milligals (Meyer, 1963). This points up a wide variance in the parameters of the causative bodies. A calculation of the effect on gravity of the assumed Grand Rapids magnetic body shows little comparison to that gravity anomaly determined from the regional map. This suggests an interpretation different from that presented. More detailed gravity work must be carried out in the Grand Rapids areas to permit more quantitative inter- pretation of this anomaly and to obtain data that when combined with the magnetic data from this study will lead to a unique solution of this problem. The known gravity data in this area (see Plate 5) is too greatly at variance with the magnetic interpretation. Either unusual conditions exist, in terms of susceptibility and density, or one or more of the basic assumptions must be false. 27 A high degree of remanent magnetization may exist contrary to the assumption made at the beginning of this study. If this is the case then the total field intensity is much higher than was assumed and as a result the body could have greatly different parameters. The case for a high remanent magnetization is supported by the existance of a strong magnetic low (see Plate 1) west of the Grand Rapids anomaly, this low possibly indicating a different declination for the strongest magnetic field. Also some support for this assumption comes from the fact that the depth indicators did not give reasonable values. A pos- sible alternate interpretation of the causative body is a flow with a high remanent magnetization instead of a vertical intrusive. Therefore the anomalous peak of the observed anomaly could be a vertical feeder system or a volcanic pipe. None of these ideas can be quantitatively inter- pretated without further data from other sources. In summary, the presented representation of the Grand Rapids magnetic body has a very close fit to all known magnetic parameters. This representation only can be changed by further gravity work or drilling to the base- ment rocks. Therefore, it is felt necessary to have further detailed gravity work done in this area. From this gravity information combined with the magnetic information provided by this study, a unique solution to the problem may be found. CHAPTER VIII CONCLUSIONS The Grand Rapids anomaly which lies on a northeast- southwest trend of positive magnetic features in the Kent County area has a vertical magnetic intensity mag- nitude of 1650 gammas and an areal extent of roughly 144 square miles. The magnitude of this anomaly is the greatest in the Southern Peninsula of Michigan. The magnetic interpretation suggests that the source of the Grand Rapids anomaly is an infinite vertical cylinder having a depth of 7300 feet to the top surface, a radius of 20,000 feet, and a susceptibility contrast of .00553 (cgs), plus three additional smaller vertical cylinders of the same susceptibility contrast located on the flanks of the main body. The calculated susceptibility suggests that the causative bodies have a basic composition. The 7300 foot depth was based on geologic information because normal methods of magnetic depth determinations do not give geologically reasonable results for the Grand Rapids anomaly. The presently available regional gravity data does not support the magnetic interpretation under normal condi- tions. It is expected from the gravity data that one or more of the basic assumptions made in the magnetic 29 interpretation are false. The existence of remanent magnetization in the body is suSpected. Further gravity work is recommended to detail the gravity anomaly associated with the Grand Rapids feature. Surface affects caused by urban—industrial areas are not excessive if care is taken.in location of stations and the accuracy of the survey is not too high. BIBLIOGRAPHY Cohee, G. V. (1945) Oil and gas investigations preliminary: U. S. Dept. of Interior, Geological Survey, Chart 9. Dobrin, M. B. (1960) Introduction to geophysical prospec- ting, McGraw—Hill Book Co. 2nd Ed. Heiland. (1940) Geophysical exploration, Hafner Publishing Company Henderson, R. G. and Zietz, I. (1949) The computation of second vertical derivatives of geomagnetic fields: Geophysics, Vol. 14, pp. 508-516. Hinze, W. J. (1963) Regional gravity and magnetic anomaly maps of the Southern Peninsula of Michigan: Rept. of Invest. 1, Dept. of Conservation, Geological Survey Division. Jakosky, J. J. (1950) Exploration geophysics, Trija Publishing Company, 2nd Ed. Jenny, W. P. (1934) Magnetic vector study of Kentucky and Southern Michigan: AAPG Bu11., Vol. 18, No. 1, PP- 97-105- Meyer, H. M. (1963) A combined magnetic and gravity analysis of the Sauble Anomaly, Lake County, Michigan. Masters Thesis, Michigan State University. Mooney, H. J. and Bleifuss, R. (1953) Magnetic suscepti- bility measurements in Minnesota: Geophysics, Vol. 18, pp. 383-393. Nettleton. (1942) Gravity and magnetic calculations: Geophysics, Vol. 7, pp. 293-310. Peters, L. J. (1949) The direct approach to magnetic interpretation and its practical applications: Geophysics, Vol. 14, pp. 290—320. Vacquier, V. et a1. (1951) Interpretation of aeromagnetic maps: Memoir 47, G. S. A. (1914) Mineral resources of Michigan: Michigan Geological and Biological Survey, Pub. 19, Geological Series 16. I I I THE GRAND RAPIDS MAGNETIC ANOMALY PLAN VIEW COMPARISON OF ANOMALIES Q j VERTICAL INTENSITY . I"=2Miles ACTUAL CALCULATED —-—- —__.. ___.. CONTOUR INT-'ZOOGAMMAS J.C. STEVENSON Plate 4 mu umv v IBRPRY SING. MICHI MICHIGAN STATE UNIV. LIBRARIES III 4662 II I I III 312 30 7