F.M. Ramos and H.F. Campos Velho (1996): Reconstruction of Geoelectric Conductivity Distributions Using A Minimum First-Order Entropy Inversion Technique, 2nd International Conference on Inverse Problems on Engineering, Le Croisic, France, 1996 (accepted) .

Abstract: We present a reconstruction technique of two-dimensional geoelectric conductivity distributions using a set of incomplete and noisy measurements of the electromagnetic fields on the earth's surface. The inverse problem is formulated as a nonlinear constrained optimization problem. A regularization term, based on the entropy measure of the first-differences vector of the problem parameters, is added to the objective function with the help of a Lagrange multiplier. A finite difference discretization together with the Gauss-Seidel method are used to handle the corresponding direct problem. Results obtained from noise corrupted simulated data illustrate the performance of the proposed inversion method.