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Modelling the Influence of Ground Surface Relief on Electric Sounding Curves Using the Integral Equations Method

机译：使用积分方程法模拟地表浮雕对电测深曲线的影响

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摘要

The problem of electrical sounding of a medium with ground surface relief is modelled using the integral equations method. This numerical method is based on the triangulation of the computational domain, which is adapted to the shape of the relief and the measuring line. The numerical algorithm is tested by comparing the results with the known solution for horizontally layeredmedia with two layers. Calculations are also performed to verify the fulfilment of the "reciprocity principle" for the 4-electrode installations in our numerical model. Simulations are then performed for a two-layered medium with a surface relief. The quantitative influences of the relief, the resistivity ratios of the contacting media, and the depth of the second layer on the apparent resistivity curves are established.
机译：使用积分方程方法对具有地表浮雕的介质的电声问题进行建模。该数值方法基于计算域的三角剖分，该三角剖分适用于凸版和测量线的形状。通过将结果与具有两层的水平分层介质的已知解决方案进行比较，测试了数值算法。还进行了计算，以验证在我们的数值模型中4电极装置是否满足“互惠原则”。然后对具有表面浮雕的两层介质进行仿真。确定了浮雕，接触介质的电阻率比率以及第二层深度对视电阻率曲线的定量影响。

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