Authors: D.Yu. Sirota

Title of the article: The determination form of source of electric field as the inverse problem of geoelectrics

Year: 2015, Issue: 6, Pages: 97-103

Branch of knowledge: Electrical engineering

Index UDK: 622.822.2: 622.271: 519.6

DOI: -

Abstract: The urgency of the discussed issue. Mining operations usually takes place in difficult geological conditions of disturbance of the host rock. Remote (from the surface), the preliminary determination of the location of such forced is a very important task to ensure the safety of mining operations. In addition, in the manufacture of underground mining area there are changes of the mechanical stresses which are the potential hotbed of mining and tectonic shocks. The location of these areas also increases the safety of mining operations. The main aim of study. Development of numerical algorithm and its software implementation to solve the inverse problem of restoration of shape of the source of electric field on the measured value of potential on the surface. The methods used in the study Methods of mathematical physics is to formulate the problem of recovering the shape of the source as an inverse, ill-posed problems the solution of inte-integral equations of the 1st kind. Methods of mathematical programming – to create a numerical calculation scheme of approximate sequential restoring the shape of the field source. The results. The calculation of the magnitude of the electric field potential, generate daily test area is elliptical in shape, located in a three-layer fry de. Using the obtained values, we solved the inverse incorrect problems restore-ing form flat electric fields, solution of integral equations of Fredholm – Uryson 1-St kind. A comparative analysis of the form and calculation results of the direct problem from the exact and approximated found the field.

Key words: nonlinear inverse problem integral equation of Fredholm-Uryson of the first kind regularization methods

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