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A finite integration forward solver and a domain search reconstruction solver for electrical resistivity tomography (ERT)

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Abstract

This paper describes the development of a forward solver and an inverse solver for modelling the resistivity distribution in electrical resistivity tomography. The forward solver is based on the finite integration technique and was developed to simulate and model synthetic resistance data. The inverse solver, the domain search algorithm, reconstructs the resistivity distribution within the subsurface by searching for a model that gives an acceptable fit to the simulated data. To find an optimum model that fits the simulated data, the domain search algorithm searches for the minimum of a multi-variable objective function by using a step-wise refinement approach. The forward and inverse solvers were developed as necessary forward and inversion modelling tools to enable the optimisation of electrode positions in resistivity imaging to be explored. Numerical results from implementing these solvers show that they are successful for simulating and reconstructing the resistivity distribution in electrical resistivity tomography.

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Authors and Affiliations

  1. Department of Physics, Geophysics Research Group (GRG), Akwa Ibom State University, Ikot Akpaden, Nigeria

    Ndifreke I. Udosen & Nyakno J. George

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  1. Ndifreke I. Udosen
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  2. Nyakno J. George
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Correspondence to Nyakno J. George.

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Udosen, N.I., George, N.J. A finite integration forward solver and a domain search reconstruction solver for electrical resistivity tomography (ERT). Model. Earth Syst. Environ. 4, 1–12 (2018). https://doi.org/10.1007/s40808-018-0412-6

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  • DOI: https://doi.org/10.1007/s40808-018-0412-6

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