Mathematical Model of Transient Electromagnetic Response from Heterogeneous Ground Structure

n 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 σ0 . The second model, we divide the ground surface into 2 laterally uniform layers. The conductivity of overburden increases with depth, given by σ0 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 σ0 . 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.