Authors: D.Yu Sirota, V.I. Podya

Title of the article: Determining the layers thickness of soil from a small number of observed AER values

Year: 2026, Issue: 1, Pages: 5-14

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

Index UDK: 550.837

DOI: 10.26730/1999-4125-2026-1-5-14

Abstract: Remote, non-destructive methods for determining the geometric parameters of near-surface soil layers remain in demand at the present time as part of preparatory work in the design of buildings and structures. There are quite a large number of ways to determine such parameters of layers with-in the framework of the well-known method of electrical exploration, such as vertical electric sounding. One of the most well-known and systematically used is a group of methods for analyzing and interpreting apparent electrical resistivity. Many of these interpretation methods are implement-ed as ready-made software packages. The inversion algorithms that are embedded in these pro-grams are focused on a sufficiently large amount of observable data, which must be produced on a logarithmic scale. This imposes significant limitations on the measurement technology and is not always possible to implement in practice. Based on this, the relevance of the topic of the proposed article becomes clear. The main aim of the study to develop the theoretical foundations of a meth-odology for determining the capacities of near-surface soil layers based on a small number of ob-served values of apparent electrical resistivity in a database of field measurements. Used in the study methods of direct current electrical exploration, methods of mathematical physics in determining calculation formulas, methods of applied mathematics and numerical algorithms in solving inverse problems. A new (linear) substitution of variables suitable for a small number of observations has been ob-tained, coefficients of new filters based on such a substitution have been obtained, theoretical foundations of a technique for restoring layer capacities within the framework of two-layer and three-layer soil models have been developed, and a numerical algorithm for quantifying the thick-ness of layers based on solving the inverse problem has been developed.

Key words: vertical electric sounding linear filter apparent electrical resistance Wenner electrical installations

Receiving date: 18.09.2025

Approval date: 15.01.2026

Publication date: 19.03.2026

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