Abstract

In solving the problems of shallow depth electrical prospecting of the daylight surface, the topography is a factor that has a significant impact on the results of the inversion of electrical resistivity tomography data. Verification of the results of inversion of the field data is a laborious task due to the complex structure of the original geological medium. At the same time, the development of computer numerical simulation methods allows obtaining electrical resistivity tomography data for simple models of the medium. The results of estimating the effect of the simplest landforms on the results of the inversion of electrical resistivity tomography data obtained by numerical simulation by the example of the model of a trench with the triangular cross-section are presented. Numerical simulation is performed based on the finite element method by an inversion-independent technique. It is determined that the inversion of the tomography data for the trench in a homogeneous half-space produces false anomalies, with the maximum located under the axis of the trench. It is shown separately that in the presence of real inhomogeneity at this position, it can, depending on its resistance, be masked (compensated) by the false anomaly, or strengthen it. If the trench is in a two-layer medium, then there is a distortion of the boundary between the layers at some interval under the trench, repeating the trench shape.

中文翻译：

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应用独立有限元模型估算最简单地形对电阻率层析成像数据反演结果的影响（带有三角形截面的沟槽示例）

摘要

在解决日光表面的浅深度电勘探的问题中，地形是对电阻率层析成像数据的反演结果具有重大影响的因素。由于原始地质介质的复杂结构，验证现场数据反演的结果是一项艰巨的任务。同时，计算机数值模拟方法的发展允许获得用于介质的简单模型的电阻率层析成像数据。给出了对最简单地形的影响进行评估的结果，该结果以具有三角形横截面的沟槽模型为例，通过数值模拟获得了电阻率层析成像数据的反演结果。基于有限元方法的数值模拟是通过与反演无关的技术进行的。可以确定，在均匀的半空间中对沟槽的断层扫描数据进行反演会产生错误的异常现象，其中最大值位于沟槽的轴下。单独示出，在该位置存在实际不均匀性的情况下，可以根据其抵抗力将其由假异常掩盖（补偿）或强化。如果沟槽位于两层介质中，则在沟槽下方的某个间隔处各层之间的边界会变形，从而重复沟槽形状。单独示出，在该位置存在实际不均匀性的情况下，可以根据其抵抗力将其由假异常掩盖（补偿）或强化。如果沟槽位于两层介质中，则在沟槽下方的某个间隔处各层之间的边界会变形，从而重复沟槽形状。单独示出，在该位置存在实际不均匀性的情况下，可以根据其抵抗力将其由假异常掩盖（补偿）或强化。如果沟槽位于两层介质中，则在沟槽下方的某个间隔处各层之间的边界会变形，从而重复沟槽形状。