Definition of the form of coal spontaneous combustion source as the inverse problem of geoelectrics

Abstract

Abstract. The paper reviews the method of determining the shape and size of the coal self-heating source on coal pit benches and in coal piles during mining of coal by the open method. The method is based on the regularity found in the 1970s of the previous century and related to the distribution of potential of the natural electrical field arising from the temperature in the vicinity of the center of self-heating. The problem is reduced to the solution of inverse ill-posed problem of mathematical physics. The study presents the developed algorithm of its solution and the results of numerical simulation.

Determination of the Geometric Form of a Plane of a Tectonic Gap as the Inverse III-posed Problem of Mathematical Physics

“…Let's give practical recommendations on the using of the developed methodology some aspects of which was introduced in article [15]. A coordinate grid is constructed on the surface with a step of about 25-50 meters.…”

“…In article [15] we assumed, that the measure of potential value is on a one-dimensional region ( 0  M y for example) therefore, as the measure has been used the integral…”

“…Since it is impossible in advance to determine the interval at which the minimum point is contained, we shall adhere to the algorithm described in [15]. To calculate the CG-coefficient  q we can use one of the multiple existing formulas [16].…”