The application of an integral-equation-based automatic inversion algorithm for interpretation of vertical electrical sounding data.

Hosseini, Seyed Hossein; Varfinezhad, Ramin; Parnow, Saeed; Ghanbarifar, Saeed; Abedi, Maysam; Ghasemi, Ali Asghar

The application of an integral-equation-based automatic inversion algorithm for interpretation of vertical electrical sounding data.

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Hosseini, Seyed Hossein, Varfinezhad, Ramin, Parnow, Saeed, Ghanbarifar, Saeed, Abedi, Maysam and Ghasemi, Ali Asghar (2025) The application of an integral-equation-based automatic inversion algorithm for interpretation of vertical electrical sounding data. International Journal of Mining and Geo-Engineering.

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Abstract

This study presents the implementation of an automatic inversion algorithm designed for the analysis of direct current (DC) vertical electrical sounding (VES) data, utilizing a one-dimensional (1D) linear integral equation approach. The forward modelling problem was derived from a three-dimensional (3D) integral equation, which was elegantly simplified through numerical integration across horizontal dimensions. The inverse problem was tackled through a minimum length solution that integrated a depth-weighting function and optimized the regularization parameter based on the maximum value of the forward operator. The efficacy of this algorithm was validated by inverting synthetic datasets as well as by its application to real field data. The results highlighted the limitations inherent in 1D inversion, particularly in cases where a layered Earth is significantly violated, as evidenced by comparisons with two-dimensional inversion models. In contrast, in contexts characterized by predominantly layered subsurface structures, the algorithm successfully produced accurate representations of the subsurface models. These findings underscore the method's efficacy in various geological environments, offering a robust tool for geophysical exploration.

Item Type:	Article
Keywords:	DC resistivity; Electrical resistivity sounding; Integral equations; Vertical Electrical Sounding (VES)
Subjects:	Construction and engineering > Electrical and electronic engineering
Date Deposited:	30 May 2025
Dates:	Date Publication status 12 February 2025 Accepted March 2025 Published Online
School, department or research centre:	School of Computing and Engineering
Keywords:	DC resistivity; Electrical resistivity sounding; Integral equations; Vertical Electrical Sounding (VES)
URI:	https://repository.uwl.ac.uk/id/eprint/13733

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The application of an integral-equation-based automatic inversion algorithm for interpretation of vertical electrical sounding data.

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