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Mathematical Model of Transient Electromagnetic Response from Heterogeneous Ground Structure

机译:异质地面结构瞬态电磁响应的数学模型

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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.
机译:在本文中,我们通过构建两个数学模型,利用时域电磁场研究了地球的表面层。在第一个模型中,地面被认为是均匀的并且具有恒定的电导率曲线,用正常数σ0表示。第二种模型,我们将地面分为两个横向均匀的层。覆盖层的电导率随深度的增加而增加,由σ0e-b(z-d)给出,0≤z? ≤d,其中b是一个正常数,d是覆盖层的厚度。宿主介质的电导率z? ≥d为常数σ0。通过使用数学技术对模型进行求解,可以模拟并绘制来自地面的电场响应,以显示其行为,这些行为会随着地面结构的电导率而迅速衰减。

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