Numerical aspects of the adaptive computational grid in solving the problems of electrical prospecting with direct current

Authors

  • B. Mukanova L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
  • T. Mirgalikyzy L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
  • M. Turarova L.N. Gumilyov Eurasian National University, Astana, Kazakhstan

DOI:

https://doi.org/10.26577/ijmph.2018.v9i2.259

Abstract

 This paper is devoted to the numerical aspects of the adaptive computational grid in solving the problems of electrical prospecting with direct current. The purpose of this work is to determine the ac­ceptable parameters of various algorithms for constructing a computational grid for computing electrical tomography curves associated with the ground surface relief. Optimal algorithms for constructing a com­putational grid in problems of calculating of apparent resistivity curves, associated with the ground surface relief, can improve the accuracy in computation and cost-effectiveness in using computational resources. A mathematical model for calculating the field and of apparent resistivity curves, based on the theory of potentials, and the discretization of the surface of the calculated boundary are described. The problem is reduced to solving an integral equation.

We described here results of that method applied to the relief of simple 2D forms. Our calculations show that use of grid with triangulation gives the same results as a grid constructed with a refinement at the vicin­ity of the source electrode. However, due to the refinement at the vicinity of the source electrode and mea­suring line, the grid with triangulation is more efficient and allows one to calculate the function of apparent resistivity with relatively small number of nodes – approximately above 2000.

The data obtained in numerical experiments are basis for further research and for definition of the influence of relief forms on the distortion of apparent resistivity curves.

          undefined   undefined                 Звуковая функция ограничена 200 символами     Настройки : История : Обратная связь : Donate Закрыть

Downloads

Published

2018-12-29

How to Cite

Mukanova, B., Mirgalikyzy, T., & Turarova, M. (2018). Numerical aspects of the adaptive computational grid in solving the problems of electrical prospecting with direct current. International Journal of Mathematics and Physics, 9(2), 4–12. https://doi.org/10.26577/ijmph.2018.v9i2.259