Multilayer Resistivity Interpretation and Error Estimation Using Electrostatic Images

Lagacé, P.J.; Vuong, Mai Hoa; Lefebvre, M.; Fortin, J.

doi:10.1109/tpwrd.2006.874618

Cited by 13 publications

(10 citation statements)

References 5 publications

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“…3, image arrangements for a current source located close to the ground surface are proposed to satisfy the boundary conditions between the air, and the vertical two-layer soil [12]. The reflection ratio 'k' is defined as: [6] 1 2…”

Section: A Homogeneous Soilmentioning

confidence: 99%

“…Previous works are proposed different approaches to solve this kind of minimization problem [4][5][6] which is unconstrained. Gauss-Newton method is one of the most popular methods to solve these problems.…”

Section: Vertical Soil Parameters Estimationmentioning

confidence: 99%

“…This is because an excellent grounding system can guarantee safety to surroundings, protect substation and prevent dangers such as extreme ground potential and ground fault. [2] Most of previous works contributed in studying characteristics [3], soil parameters estimation [4], safety design [4][5][6] and ground potential rise (GPR) [7] of grounding systems in two and multi layers soil. Real soil shows a resistivity change in vertical and horizontal directions and practical modeling of grounding systems based on proposed soil models lead to inevitable errors due to improper models.…”

Section: Introductionmentioning

confidence: 99%

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Study of Soil Resistivity Measurements in Vertical Two-Layer Soil Model

Nayel

Tian

et al. 2012

2012 Asia-Pacific Power and Energy Engineering Conference

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This paper studies and estimates soil resistivity parameters of two-layer vertical soil as a one of the practical soil models. Wenner method is used to measure the apparent soil resistivity. To achieve this study, the image method is proposed to consider the presence of vertical layer soil and four electrodes of the Wenner method. A general apparent resistivity expression is proposed to find the relation between the apparent resistivity and the four electrodes of Winner method locations and soil parameters. The proposed equation with the aid of Gauss-Newton method is used to estimate the soil parameters.Index Terms−Grounding, vertical two-layer soil, soil apparent resistivity, Gauss-Newton method.

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Section: A Homogeneous Soilmentioning

confidence: 99%

Section: Vertical Soil Parameters Estimationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Study of Soil Resistivity Measurements in Vertical Two-Layer Soil Model

Nayel

Tian

et al. 2012

2012 Asia-Pacific Power and Energy Engineering Conference

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“…Los resultados obtenidos fueron validados con el método de elementos finitos. Lagace et al (2006) presentan un método para el cálculo de la resistividad aparente teórica mediante la generación de grupos de imágenes electrostáticas, y usando el método Marquard se realiza la estimación de los parámetros del suelo. Los errores máximos de los valores de resistividad calculados también se pueden estimar y se usan para validar el modelo de suelo.…”

Section: Introductionunclassified

Estimación de Parámetros del Suelo de dos Capas usando el Algoritmo de Optimización de Mapeo Media-Varianza

2019

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ResumenEn este artículo se analiza la aplicación de la técnica de optimización de mapeo media-varianza en el problema de estimación de los parámetros del modelo de suelo de dos capas horizontales. El problema consiste en determinar los parámetros del modelo del suelo a partir de las mediciones experimentales de resistividad aparente obtenidas con el método de Wenner, minimizando el error medio cuadrático entre valores de las curvas de resistividad experimental y teórica, calculadas con expresiones matemáticas y parámetros del suelo obtenidos por la técnica de optimización de mapeo media-varianza. Se realizaron varias pruebas con medidas de resistividad que corresponden a diferentes tipos de suelos, comparando los resultados obtenidos con los reportados en la literatura técnica. En conclusión, de acuerdo a los resultados, se encontró que el desempeño de la técnica de optimización de mapeo media-varianza es superior a las otras técnicas de optimización analizadas. Palabras clave: algoritmos metaheurísticos; resistividad del suelo; mapeo media-varianza; suelo de dos capasAbstract This paper presents an analysis of applying the optimization of mean-variance mapping technique in the problem of estimating the parameters of the soil model of two horizontal layers. This problem consists of determining the parameters of the soil model from experimental measurements of apparent resistivity obtained with Wenner method, minimizing the mean square error between values of the experimental and theoretical resistivity curves, which are calculated with mathematical expressions and soil parameters acquired through the optimization of mean-variance mapping technique. Several tests were carried out with resistivity measurements that correspond to different soil types, the results were contrasted with those reported in the technical literature and metaheuristics implemented. In conclusion, according to the results, the performance of the optimization of mean-variance mapping technique was found to be superior than other analyzed optimization techniques.

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“…Soil is rarely homogeneous and the resistivity of the soil will vary geographically at different soil depths, which is usually reckoned as horizontal multilayer structures. The Wenner approach is always used to measure the apparent resistivity [1,2].…”

Section: Introductionmentioning

confidence: 99%

Parameter estimation of horizontal multilayer earth based on complex image method and improved particle swarm optimization

Zhang

Zhu

et al. 2013

IEEJ Transactions Elec Engng

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Grounding grids are buried underground to reduce the earth resistance and provide ways for overvoltage protection and current leakage. With regard to the safety evaluation and fault diagnosis of substations, it is vital to know the accurate earth parameters before detecting the fault sites of grounding grid in substations. The estimation of earth parameters is used to solve the inverse problem of calculating apparent resistivity using given earth parameters. First, complex image methods are used to solve the improper integration with the assistance of Prony's expansion which is utilized to calculate the coefficients for the Lipschitz's expansions in this article. Also, by considering the root mean square error and absolute error (AbsE), we focus on different aspects of the effectiveness of the estimation. The root mean square error between the measured and calculated apparent resistivity (\documentclass{article}\usepackage{amsmath}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{amsfonts}\pagestyle{empty}\begin{document}$\rho^a_{\mathrm{md}}$ \end{document} and \documentclass{article}\usepackage{amsmath}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{amsfonts}\pagestyle{empty}\begin{document}$\rho^a_{\mathrm{cd}}$ \end{document}, respectively) is set up as the main objective function, and AbsE as a supplemental criterion for measuring the estimation. Afterwards, improved particle swarm optimization is adopted to minimize the objective function with a constraint function. Resulting from the outstanding global searching characteristics, accurate soil parameters are much easier to obtain. A method to artificially regulate the initial values is proposed in this article, and two cases are introduced to validate the effectiveness. © 2013 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

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Multilayer Resistivity Interpretation and Error Estimation Using Electrostatic Images

Cited by 13 publications

References 5 publications

Study of Soil Resistivity Measurements in Vertical Two-Layer Soil Model

Study of Soil Resistivity Measurements in Vertical Two-Layer Soil Model

Estimación de Parámetros del Suelo de dos Capas usando el Algoritmo de Optimización de Mapeo Media-Varianza

Parameter estimation of horizontal multilayer earth based on complex image method and improved particle swarm optimization

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