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Results
Inversion of CSMT Data Over 3-D Structures
Zhdanov, Michael (University of Utah) | Portniaguine, Oleg (University of Utah)
Summary In this paper we consider a full 3-D inverse problem for CSMT data. The traditional way to obtain a stable solution of an inverse problem is based on a maximum smoothness criterion. This approach sometimes pro- vides blurred images of real geoelectrical structures. In this paper w e use a new technique to solve this problem which we call focusing of inversion images. It is based on stabilizing functionals which minimize the area where strong model parameter variations and discontinuity occur. We apply this method to intergral equation based inversion of 3-D EM data. Introduction The traditional geophysical in version methods are usually based on Tikhonov regularization theory and provide a stable solution of the inverse problem.
Summary In this paper we develop a method of 3-D magnetic anomaly inversion, based on the use of a minimum support stabilizing functional to generate a sharp and focused inverse image. The iterative inversion process is based on the regularized conjugate gradient method. The weigh ting functions are selected based on a sensitivity analysis. T o speed up the computations and to decrease the size of memory required we use a compression technique, based on cubic interpolation, which increases the compression factor. This method was applied to synthetic data for typical models of magnetic anomalies. It w as tested also on practical airborne magnetic data, provided by EXXON-MOBIL Upstream Research Company.