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.
Abstract. Any mining operations influence stability of natural and technogenic massifs are the reason of emergence of the sources of differences of mechanical tension. These sources generate a quasistationary electric field with a Newtonian potential. The paper reviews the method of determining the shape and size of a flat source field with this kind of potential. This common problem meets in many fields of mining: geological exploration mineral resources, ore deposits, control of mining by underground method, determining coal self-heating source, localization of the rock crack's sources and other applied problems of practical physics. This problems are ill-posed and inverse and solved by converting to FredholmUryson integral equation of the first kind. This equation will be solved by A.N. Tikhonov regularization method.
Abstract. Any kind of destruction is bound to microckracks. One of the theoretical model of microcracking is kinetic concept of strength (KCS) by S.N. Zhurkov. This theory allows to associate the time to failure with the activation energy and activation volume in single formula. But however, there are options for destruction in which this formula is incorrect. In this article we presents new modification of Zhurkov's formula. Also, we present two possible practice applications of kinetic constants of the destruction.
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