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

Autor: Sirota Dmitry, Ivanov Vadim
Jazyk: English<br />French
Rok vydání: 2017
Předmět:
Zdroj: E3S Web of Conferences, Vol 21, p 01017 (2017)
Druh dokumentu: article
ISSN: 2267-1242
DOI: 10.1051/e3sconf/20172101017
Popis: 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 Fredholm-Uryson integral equation of the first kind. This equation will be solved by A.N. Tikhonov regularization method.
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