Volume no :6, Issue no: 2, December (2010)

MATHEMATICAL INVERSE PROBLEM OF ELECTRIC AND VERTICAL MAGNETIC FIELDS TO RESOLVE THE SALINE SOIL STRUCTURE

Author's: Pagamas Pawong and Suabsagun Yooyuanyong
Pages: [257] - [285]
Received Date: October 23, 2010
Submitted by:

Abstract

Joint inversion of the electric and vertical magnetic field responses due to a vertical magnetic dipole is performed by using the linearized theory of Backus and Gilbert in order to estimate the conductivity profile of saline soil, which is assumed to be a function of depth only. An initial apparent conductivity profile can be obtained to start the iteration off. The iterative procedure is found to be robust with respect to starting models. Within the confines of the linearity assumption, broad convergence criteria are adopted to give an optimal solution, which is necessarily non-unique. This optimal solution is perturbed so that the solution obtained is just acceptable under the criteria used. The perturbed solutions are used to obtain bounds within which the true solution may be expected to lie.

Keywords

inverse problem, joint, electric, magnetic.