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• W573602564 abstract "Seamounts are veritable markers of the paleomagnetic field. Their magnetizations can be determined by an analysis of the magnetic in relation to the seamount shape. Probably most seamounts are thermoremanently magnetized. The method presented, which is not limited to seamounts, gives the total magnetization vector from a comparison of the observed field with three hypothetical fields obtained by assuming unit magnetizations in three orthogonal directions. A least-squares fit of a linear combination of the three fields to the observed one gives the magnetization components. By examining the relationship between / and / as a function of K, limits can be established for / ; a locus for the virtual pole can be calculated as a function of K. For the computer model, ensembles of rectangular prisms are used. Four of the harmonic functions of the potential are taken into account. The derivatives of the magnetic potential are computed by a numerical differentiation of the corresponding gravimetric derivatives. The concept of biasedfield anomaly as an algorithm built in the program gives the option of obtaining either (a) an arbitrary component of the field intensity, (b) the conventional total-intensity anomaly, or (c) the magnitude of the field intensity. As an illustration, the magnetizations of Maher, Boutelle, and Hoke Seamounts, located in the northeastern Pacific, are determined. In Maher, the magnetization is predominantly east; in Boutelle, 126° W.; and in Hoke, 17° E. With the deviations found, any rotation of crustal blocks in Maher and Boutelle Seamounts, due to crustal shearing along the Murray and Mendocino fracture zones, respectively, would be consistent as to direction of rotation. Alternative explanations of the deviations are also examined. A systematic analysis of the magnetization of seamounts in the northeast Pacific may be useful in deciphering crustal displacements and rotations. INTRODUCTION AND ACKNOWLEDGMENTS This paper discusses the magnetization of seamounts and describes its determination, using computer methods that I developed in 1959-1960 while with the Chevron Research Co. (formerly the California Research Corp.). The actual analysis of the problem of the seamounts and the paper itself were prepared later, after I joined the U.S. Geological Survey. I wish to thank the Chevron Research Co. for its permission to publish this work and for its kind cooperation in the preparation of many of the illustrations. The bathymetry and the total-intensity magnetic anomalies on Maher, Boutelle, and Hoke Seamounts were furnished to me by the Scripps Institution of Oceanography and are small detailed parts of the surveys by Mason and Raff (1961) and Vacquier, Raff, and Warren (1961). The bathymetry was collected in the course of several expeditions wholly supported under contract with the Office of Naval Research. The criticisms received from J. R. Balsley, R. G. Henderson, M. K. Hubbert, H. W. Menard, and F. J. Vine are sincerely appreciated. Finally, I am grateful to Professor Victor Vacquier for suggesting the problem of the seamounts. The work originated from a computer program for the calculation of the gravity field produced by a body of arbitrary shape. In this program, nicknamed the Gravity Slave, the body is approximated by sets of rectangular prisms. Taking advantage of the inherently high precision of a digital computer, I extended the method to the calculation by numerical approximation of the derivatives of the field components. In particular, this permitted the calculation of the magnetic field produced by a body uniformly magnetized. A variant of the Gravity Slave program aimed especially at aeromagnetic interpretation was then prepared. This program can calculate the field under different assumptions about the direction of the internal magnetization. Taking advantage of this feature, I then developed a method named the triple-field method to determine the direction and magnitude of the internal magnetization when, in addition to the shape of the body, the field is known and a uniform internal magnetization is assumed. In geology two different techniques have been used to determine the remanent magnetization. The one most widely used involves an actual measurement on a sample of the rock. The other which in a certain way is an outgrowth of the interpretation of magnetic anomalies in prospecting is based on the analysis of the magnetic produced by the geologic body examined. It consists of the calculation of the magnetic for a model of the geologic body, under" @default.
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• W573602564 date "1967-01-01" @default.
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• W573602564 title "The internal magnetization of seamounts and its computer calculation" @default.
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• W573602564 doi "https://doi.org/10.3133/pp554f" @default.
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