Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil

The paper is devoted to the problem of determining the geoelectric structure of the soil within the procedure of testing the grounding arrangements of existing power plants and substations to the required depth in conditions of dense development. To solve the problem, it was proposed to use the Schl...

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Autores principales:	D. G. Koliushko, S. S. Rudenko, A. N. Saliba
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2021
Materias:	electrical substation grounding arrangements vertical electrical sounding schlumberger method method of integro-differential equations Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/47b83f9e2e2f45b3b3481106e1f7ef5b
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spelling	oai:doaj.org-article:47b83f9e2e2f45b3b3481106e1f7ef5b2021-12-02T19:22:03ZMethod of integro-differential equations for interpreting the results of vertical electrical sounding of the soil2074-272X2309-340410.20998/2074-272X.2021.5.09https://doaj.org/article/47b83f9e2e2f45b3b3481106e1f7ef5b2021-10-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/242512https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404The paper is devoted to the problem of determining the geoelectric structure of the soil within the procedure of testing the grounding arrangements of existing power plants and substations to the required depth in conditions of dense development. To solve the problem, it was proposed to use the Schlumbergers method , which has a greater sounding depth compared to the Wenner electrode array. The purpose of the work is to develop a mathematical model for interpreting the results of soil sounding by the Schlumberger method in the form of a four-layer geoelectric structure. Methodology. To construct a mathematical model, it is proposed to use the solution of a particular problem about the field of a point current source, which, like the observation point, is located in the first layer of a four-layer soil. Based on this expressions, a system of linear algebraic equations of the 7-th order with respect to the unknown coefficients ai and bi was compiled. On the basis of its analytical solution, an expression for the potential of the electric field was obtained for conducting VES (the point current source and the observation point are located only on the soil surface). Results. Comparison of the results of soil sounding by the Schlumberger installation and the interpretation of its results for the same points shows a sufficient degree of approximation: the maximum relative error does not exceed 9.7 % (for the second point), and the average relative error is 3.6 %. Originality. Based on the obtained expression, a test version of the program was implemented in Visual Basic for Applications to interpret the results of VES by the Schlumberger method. To check the obtained expressions, the interpretation of the VES results was carried out on the territory of a 150 kV substation of one of the mining and processing plants in the city of Kriviy Rih. Practical significance. The developed mathematical model will make it possible to increase the sounding depth, and, consequently, the accuracy of determining the standardized parameters of the grounding arrangements of power stations and substations.D. G. KoliushkoS. S. RudenkoA. N. SalibaNational Technical University "Kharkiv Polytechnic Institute"articleelectrical substationgrounding arrangementsvertical electrical soundingschlumberger methodmethod of integro-differential equationsElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 5, Pp 67-70 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	electrical substation grounding arrangements vertical electrical sounding schlumberger method method of integro-differential equations Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	electrical substation grounding arrangements vertical electrical sounding schlumberger method method of integro-differential equations Electrical engineering. Electronics. Nuclear engineering TK1-9971 D. G. Koliushko S. S. Rudenko A. N. Saliba Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil
description	The paper is devoted to the problem of determining the geoelectric structure of the soil within the procedure of testing the grounding arrangements of existing power plants and substations to the required depth in conditions of dense development. To solve the problem, it was proposed to use the Schlumbergers method , which has a greater sounding depth compared to the Wenner electrode array. The purpose of the work is to develop a mathematical model for interpreting the results of soil sounding by the Schlumberger method in the form of a four-layer geoelectric structure. Methodology. To construct a mathematical model, it is proposed to use the solution of a particular problem about the field of a point current source, which, like the observation point, is located in the first layer of a four-layer soil. Based on this expressions, a system of linear algebraic equations of the 7-th order with respect to the unknown coefficients ai and bi was compiled. On the basis of its analytical solution, an expression for the potential of the electric field was obtained for conducting VES (the point current source and the observation point are located only on the soil surface). Results. Comparison of the results of soil sounding by the Schlumberger installation and the interpretation of its results for the same points shows a sufficient degree of approximation: the maximum relative error does not exceed 9.7 % (for the second point), and the average relative error is 3.6 %. Originality. Based on the obtained expression, a test version of the program was implemented in Visual Basic for Applications to interpret the results of VES by the Schlumberger method. To check the obtained expressions, the interpretation of the VES results was carried out on the territory of a 150 kV substation of one of the mining and processing plants in the city of Kriviy Rih. Practical significance. The developed mathematical model will make it possible to increase the sounding depth, and, consequently, the accuracy of determining the standardized parameters of the grounding arrangements of power stations and substations.
format	article
author	D. G. Koliushko S. S. Rudenko A. N. Saliba
author_facet	D. G. Koliushko S. S. Rudenko A. N. Saliba
author_sort	D. G. Koliushko
title	Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil
title_short	Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil
title_full	Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil
title_fullStr	Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil
title_full_unstemmed	Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil
title_sort	method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2021
url	https://doaj.org/article/47b83f9e2e2f45b3b3481106e1f7ef5b
work_keys_str_mv	AT dgkoliushko methodofintegrodifferentialequationsforinterpretingtheresultsofverticalelectricalsoundingofthesoil AT ssrudenko methodofintegrodifferentialequationsforinterpretingtheresultsofverticalelectricalsoundingofthesoil AT ansaliba methodofintegrodifferentialequationsforinterpretingtheresultsofverticalelectricalsoundingofthesoil
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Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil

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