MATHEMATICAL MODEL OF ELECTROMAGNETIC RESPONSE ON TWO LAYERED EARTHS STRUCTURE WITH A POSITIVELY SKEWED BULGE OVERBURDEN
The aim of this paper is to present a mathematical model of electromagnetic response of two layered earths with a positively skewed bulge conductivity. For the first layer, the conductivity of overburden is a function of depth denoted by where is a positive constant, b is a constant, d is the thickness of overburden. The second layer, the conductivity of host medium, is a constant given by The solution of a non-homogeneous differential equation is obtained using mathematical techniques. The Hankel transform is introduced to solve the electric field. Numerical solutions are computed and plotted to show their behaviors of the electric field while some parameters are assigned approximately. The responses of electric field from the ground surface are plotted separately in a real and an imaginary parts of the electric field and are controlled by the conductivity of overburden.
electromagnetic field, two layered earths, positively skewed bulge, Chave’s algorithm, Hankel transform.