Inversion of one‐dimensional parameters of horizontal multi‐layer soil model based on dynamic state electromagnetic field theory and ant colony optimization algorithm

Building a reliable soil model is a prerequisite for accurately calculating the ground potential distribution of the grounding grid. Research shows that the soil electrical parameters are frequency‐dependent, so frequency domain inversion of soil parameters should consider the soil inhomogeneity and the frequency characteristic of parameters. A method for retrieving parameters of horizontal multilayer soil model is proposed. The theoretical formula of apparent complex resistivity with considering dynamic state electromagnetic field theory is derived from Green's function. Discrete dynamic state complex image method is introduced to solve the infinite integral in Green's function. Ant colony optimization algorithm is applied to optimize the inversion process of soil parameters. In the first stage, applicability of this method is confirmed by interpreting field data under DC field. DC parameters including DC resistivity, thickness and number of layer are determined. The performance of different optimization algorithms in terms of computational efficiency is compared at this stage. In the second stage, soil resistivity and relative dielectric constant are retrieved by inverting frequency domain experimental data. Different representations based on quasi‐static electromagnetic field and dynamic state electromagnetic field theories are taken into account. The frequency characteristic of soil parameters is concluded by discussing the inversion results. In the study of parameter inversion of horizontal multi‐layer soil model, our method has shown strong performance in computational efficiency and accuracy of inversion results.

• Publication year

  2023

• Venue

  International journal of numerical modelling

• Publication date

  2023-03-12

• Fields of study

  Not labeled

• Identifiers
  DOI 10.1002/jnm.3107
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• The Impact of Apparent Frequency-Dependent Soil Properties on Electrical Grounding Characteristics

  2022cited by this paper
• Global optimization algorithms for particle swarm optimization to the derivation of horizontal multilayered soil models considering the frequency dependence of soil parameters

  2021cited by this paper
• The determination of frequency domain soil parameters of horizontally layered structure by using dipole‐dipole array

  2019cited by this paper
• Estimation of frequency domain soil parameters of horizontally multilayered earth by using Cole–Cole model based on the parallel genetic algorithm

  2019cited by this paper
• Horizontal Multilayer Soil Parameter Estimation Through Differential Evolution

  2016cited by this paper
• A Comparison of Frequency-Dependent Soil Models: Application to the Analysis of Grounding Systems

  2014influential reference
• The Effect of Frequency Dependence of Soil Electrical Parameters on the Lightning Performance of Grounding Systems

  2013cited by this paper
• Frequency Dependence of Soil Parameters: Experimental Results, Predicting Formula and Influence on the Lightning Response of Grounding Electrodes

  2012cited by this paper
• The Response of Grounding Electrodes to Lightning Currents: The Effect of Frequency-Dependent Soil Resistivity and Permittivity

  2011influential reference
• Ant colony optimization for continuous domains

  2008cited by this paper
• A direct discrete complex image method from the closed-form Green's functions in multilayered media

  2006cited by this paper
• Estimation of multilayer soil parameters using genetic algorithms

  2005cited by this paper
• Parameter estimation of horizontal multilayer earth by complex image method

  2005cited by this paper
• Spectral Green's functions for multilayer media in a convenient computational form

  1998cited by this paper
• Interpretation of resistivity sounding measurements in N-layer soil using electrostatic images

  1996cited by this paper
• A comparison among eight different techniques to achieve an optimum estimation of electrical grounding parameters in two-layered earth

  1993cited by this paper
• Estimation of two layer soil parameters using finite Wenner resistivity expressions

  1992cited by this paper
• A closed-form spatial Green's function for the thick microstrip substrate

  1991cited by this paper
• Analysis of apparent resistivity in a multi-layer earth structure

  1990influential reference
• A practical method for the interpretation of earth resistivity data obtained from driven rod tests

  1988cited by this paper
• Numerical methods for scientists and engineers (2nd ed.)

  1986cited by this paper
• Electrical and magnetic properties of rock and soil

  1983cited by this paper
• Numerical Methods for Scientists and Engineers

  1962cited by this paper

• Transfer Learning-Based Coupling of Smoothed Finite Element Method and Physics-Informed Neural Network for Solving Elastoplastic Inverse Problems

  2023cites this paper