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Kernel Function-Based Inverting Algorithm for Structure Parameters of Horizontal Multilayer Soil

Author

Listed:
  • Min-Jae Kang

    (Department of Electronic Engineering, Jeju National University, Jeju-si 63243, Republic of Korea)

  • Chang-Jin Boo

    (Department of Electrical Engineering, Jeju International University, Jeju-si 63309, Republic of Korea)

  • Byeong-Chan Han

    (Department of Electronic Engineering, Jeju National University, Jeju-si 63243, Republic of Korea)

  • Ho-Chan Kim

    (Department of Electronic Engineering, Jeju National University, Jeju-si 63243, Republic of Korea)

Abstract

A multilayer soil structure model is fundamental to design grounding systems. A new method is presented to invert the structure parameters of horizontal multilayer soil. The structure parameters of soil are determined by analyzing the kernel function of the integral equation of the apparent resistivity. The essence of the proposed method avoids the difficulties encountered in general optimization methods; namely, the calculation of the apparent resistivity and its derivative.

Suggested Citation

  • Min-Jae Kang & Chang-Jin Boo & Byeong-Chan Han & Ho-Chan Kim, 2023. "Kernel Function-Based Inverting Algorithm for Structure Parameters of Horizontal Multilayer Soil," Energies, MDPI, vol. 16(4), pages 1-17, February.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:4:p:2078-:d:1074895
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    References listed on IDEAS

    as
    1. T. Islam & Z. Chik & M. M. Mustafa & H. Sanusi, 2012. "Estimation of Soil Electrical Properties in a Multilayer Earth Model with Boundary Element Formulation," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-13, August.
    2. Ahmad, Sanwar & Strauss, Thilo & Kupis, Shyla & Khan, Taufiquar, 2019. "Comparison of statistical inversion with iteratively regularized Gauss Newton method for image reconstruction in electrical impedance tomography," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 436-448.
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