Mathematical Modelling of Magnetometric Resistivity Sounding Earth Structures

S. Yooyuanyong, W. Sripanya

Abstract

In this paper, we derive the solutions of the steady state magnetic field due to a DC current source in three types of heterogeneous earth models. N-layered continuously stratified earth models such as an exponentially, a linearly, and a binomially varying conductivity earth structures are considered. These solutions are critical to interpret the magnetometric resistivity (MMR) data. Our solutions are achieved by solving a boundary value problem in the wave number domain and then transforming back to spatial domain. The propagator matrix techniques are used. The simple cases are explored for 2-layered earth model. The curves of magnetic field are plotted to show the behavior of the field while some parameters are approximately given. To determine the conductivity parameters, the inverse problem is introduced via the use of optimization technique.