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

• Main Authors: Balgaisha Mukanova, Tolkyn Mirgalikyzy, Dilyara Rakisheva
• Format: Article
• Language: English
• Published: Hindawi Limited 2017-01-01
• Series: Mathematical Problems in Engineering
• Online Access: http://dx.doi.org/10.1155/2017/9079475

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 layered media 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.