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ALGORITHM FOR SOLUTION 3D DIRECT AND INVERSE PROBLEM OF MAGNETIC PROSPECTING
Abstract
This paper presents the integral equations of the direct problem of magnetic prospecting with respect to demagnetization. These equations are derived for a two-layer medium model. The method of determining the intensity of a secondary magnetic field for the case of magnetizing by a static field, which potential is a harmonic function, is described. The respective integral equations are written based on the theory of a simple layer potential. An iteration algorithm for solving the three-dimensional structural inverse problem of magnetic prospecting with respect to demagnetization for the sampled medium model is proposed based on the modified method of local corrections. For the method of local corrections, it is important to suggest that a change in the model field is mostly influenced by a change in the geometry of part of the objectпїЅs boundary that is the nearest to the point of observation. The main feature of this algorithm allows us to get effective technique for solution of magnetic inverse problem for medium with any numbers of layers.
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References4
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Tikhonov A. N. and Samarskii A. A., Equations of Mathematical Physics: Handbook, 6th ed. Izd. MGU, Moscow, 1999, 799 p, ISBN 5-211-04138-0. (In Russian).
Rublyov A. L., Pyankov V. A., Martyshko P. S., Using Local Corrections Technique to Solve Structural Magnetometry Problems, Geofizika, No. 4, pp 3-8, 2010. (In Russian).
Prutkin I. L., The solution of three-dimensional inverse gravimetric problem in the class of contact surfaces by the method of local corrections, Izvestiya USSR Academy of Sciences, Physics of the Solid Earth vol. 22, issue 1, pp 49-55, 1986.
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