Modelling the influence of ground surface relief on electric sounding curves using the integral equations method
type: Item
instance of: scholarly article
title: Modelling the influence of ground surface relief on electric sounding curves using the integral equations method
zbMATH Open document ID: 1426.86007
DOI: 10.1155/2017/9079475
author: Balgaisha Mukanova
author: Tolkyn Mirgalikyzy
author: Dilyara Rakisheva
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 86A25
zbMATH DE Number: 6972643
Wikidata QID: Q59147871
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/9079475
OpenAlex ID: W2738620388
cites work: Method of integral equations for the problem of electrical tomography in a medium with ground surface relief
cites work: Q4676628
cites work: Q3847171
description: scientific article; zbMATH DE number 6972643