Journal ArticleDOI
Reduction of magnetic and gravity data on an arbitrary surface acquired in a region of high topographic relief
B. K. Bhattacharyya,K. C. Chan +1 more
TLDR
In this paper, it is shown that the analytical relationship between the total magnetic field or the gravity effect and equivalent magnetization or density on an arbitrary observational surface is given by a Fredholm integral equation of the second kind.Abstract:
The problem of reduction of magnetic and gravity data, when observed on an arbitrary surface in a region of high topographic relief, is studied with equivalent source representation at the points of observation. It is shown that the analytical relationship between the total magnetic field or the gravity effect and equivalent magnetization or density on an arbitrary observational surface is given by a Fredholm integral equation of the second kind. A rapidly convergent iterative scheme is described for the solution of the integral equation, yielding the surface distribution of magnetization or density. With this distribution, the field at any other surface can be easily computed. Then it has been demonstrated with model examples that the gravity or magnetic field observed on a rough terrain can be accurately reduced to a horizontal plane for processing and interpretation.A new method has been suggested for minimization of terrain-induced anomalies on a magnetic or gravity map. This method is based on the concept that when the anomalous field observed on an arbitrary surface is continued to a surface parallel to the topography, the terrain effect in the continued field is sharply reduced relative to the field created by bodies of finite extent in the crust. Model examples are presented to show the accuracy and reliability of the method.read more
Citations
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Journal ArticleDOI
Interpretation Theory in Applied Geophysics Grant (McGraw-Hill, 140s.)
TL;DR: Interpretation theory in applied geophysics: Grant, F S as mentioned in this paper, Unknown Binding, January 1, 1965 5.0 out of 5 stars 1 rating. Read it now.
Journal ArticleDOI
The historical development of the magnetic method in exploration
Misac N. Nabighian,V.J.S. Grauch,R. O. Hansen,Thomas R. LaFehr,Yaoguo Li,J. W. Peirce,Jeffrey D. Phillips,M. E. Ruder +7 more
TL;DR: The magnetic method is the primary exploration tool in the search for minerals, oil and gas, geothermal resources, and groundwater, and for a variety of other purposes such as natural hazards assessment, mapping impact structures, and engineering and environmental studies as discussed by the authors.
Journal ArticleDOI
Curie point depths of the Island of Kyushu and surrounding areas, Japan
TL;DR: The first Curie point depth map was created by inverting gridded, regional aeromagnetic data as discussed by the authors, which was used for a comprehensive evaluation of geothermal resources for Japan.
Journal ArticleDOI
A generalized multibody model for inversion of magnetic anomalies
TL;DR: In this paper, the authors proposed an iterative method for the inversion of magnetic anomalies using a three-dimensional (3D) distribution of magnetized rectangular blocks, where the top and bottom surfaces of each of the blocks were adjusted in a least-squares sense to minimize the difference between observed and calculated field values.
Journal ArticleDOI
Continuation of potential fields between arbitrary surfaces
R. O. Hansen,Y. Miyazaki +1 more
TL;DR: In this article, an equivalent source algorithm is described for continuing either one-dimensional or two-dimensional potential fields between arbitrary surfaces, where the dipole surface is approximated as a set of plane faces with constant moments over each face.
References
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Journal ArticleDOI
Interpretation Theory in Applied Geophysics Grant (McGraw-Hill, 140s.)
TL;DR: Interpretation theory in applied geophysics: Grant, F S as mentioned in this paper, Unknown Binding, January 1, 1965 5.0 out of 5 stars 1 rating. Read it now.
Journal ArticleDOI
The gravitational attraction of a right rectangular prism
TL;DR: In this paper, the vertical component of the gravitational attraction of a right rectangular prism, with sides parallel to the coordinate axis, is calculated. And the result is a closed expression to calculate the total gravitational effect of arbitrary shapes at any point outside of or on the boundary of the bodies.