Volume no :14, Issue no: 2, April 2012

MATHEMATICAL INVERSE PROBLEM OF MAGNETIC FIELD FOR 2-DIMENSIONAL EXPONENTIALLY CONDUCTIVITY ROUND PROFILE

Author's: PAKAMAS PAWONG and SUABSAGUN YOOYUANYONG
Pages: [71] - [79]
Received Date: March 15, 2012
Submitted by:

Abstract

Magnetic field response due to the injection of electric current into the ground can be used to explore the earth structure. We derive analytical solutions of the steady state magnetic field due to a direct current source on a continuous conductivity earth structures. A 2-dimensional exponentially varying conductivity of the ground is used in our study. Our solutions in the form of magnetic field are obtained by solving a boundary value problem in the wave number domain and then transforming the solution in the wave number domain back to the spatial domain. An inverse problem via the use of the Newton-Raphson optimization technique is introduced for finding the conductivity parameter. The optimal result of our model is close to the true value after using only 6 iterations.

Keywords

integral transformations, inverse problem, magnetic field.