Authors: D.Yu. Sirota

Title of the article: Calculation of apparent resistivity for the vertical electric sounding of multi-layer environment

Year: 2023, Issue: 2, Pages: 4-14

Branch of knowledge: 1.6.9. Geophysics, geophysical methods of prospecting for minerals

Index UDK: 550.837

DOI: 10.26730/1999-4125-2023-2-4-14

Abstract: The urgency of the discussed issue. The analysis and interpretation of vertical electrical sounding (VEZ) data is based on solving the direct problem of determining the apparent specific electrical resistance (CUES). In its foundations, this task was solved back in the 60s - 80s of the twentieth century. However, the ongoing transition from classical probing to the procedure of two-dimensional tomography requires the development of new methods for calculating the CES, devoid of the disadvantages of the classical approach. Therefore, the stated topic of the presented article is undoubtedly relevant.
The main aim of the study. The article considers the problem of calculating the apparent electrical resistance of a multilayer medium for the main types of electrical installations: Schlumberger and Wenner.
The methods used in the study. Methods of mathematical physics (in the field of partial differential equations), methods of applied mathematics (in the field of numerical integration), methods of pure mathematics (in the field of solving systems of linear equations) are used to solve the tasks.
The result. A new variable replacement is proposed, which is more effective for continuous electro-sounding and two-dimensional electrotomography than the classical logarithmic one. New filter coefficients are obtained. The efficiency of the new filters is compared with the already known ones, their advantage is revealed. As a generalization, the proposed technique allows us to numerically find the values of the Hankel transformation.

Key words: Vertical electric sounding electrotomography apparent electrical resistance Schlumberger Wenner electrical installations linear filter Hankel transformation

Receiving date: 09.02.2023

Approval date: 10.05.2023

Publication date: 15.06.2023

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