### Mathematical Model of Transient Electromagnetic Response from Heterogeneous Ground Structure

*Suabsagun Yooyuanyong*

#### Abstract

In this paper, we study the earth’s surface layers using time-domain electromagnetic field by constructing 2 mathematical models. In the first model, the ground is considered uniformly and having constant conductivity profile, denoted by a positive constant σ

_{0}. The second model, we divide the ground surface into 2 laterally uniform layers. The conductivity of overburden increases with depth, given by σ_{0}e^{-b(z-d)}, 0 ≤z ≤ d, where b is a positive constant, and d is the thickness of overburden. The conductivity of host medium, z ≥ d, is a constant σ_{0}. By solving the models using mathematical techniques, the electric fields response from the ground surface are simulated and plotted to show their behaviors which decay rapidly depending on the conductivity of ground structure.**Time domain; Electromagnetic; Transient; Electric***Key Words:*Full Text: PDF