Mathematical and software for numerical modeling of the geomechanical state of the carbon mass

Underground mining is associated with mine workings and subsequent arrangement of free space in accordance with the purpose of the designed object. Man-made impact on the massif leads to violation of the natural field of stresses and formation in the field of mining of zones of high mountain pressure and rock unloading, which can lead to mountain impacts, sudden emissions of coal, rock and gas, collapses. Analysis of results of mathematical simulation of stress-strain state of the developed section of the massif is necessary for detection and prevention of pre-accident situations. The results of experiments confirm that the stress field of undisturbed rocks, formed under the influence of natural forces, is determined by the relations of the theory of elasticity. Based on studies, it was found that under the influence of anthropogenic forces, a zone is formed around the developed space, in which the connection between stresses and deformations is non-linear. Therefore, taking into account the properties of rocks in the mathematical model, the deformation conditions of which are determined by nonlinear equations, will allow to obtain qualitatively new information on the stressed-deformed state of rocks in the field of influence of mine workings. The article proposes an approach for constructing a nonlinear mathematical model of the stress-strain state of the carbon mass, which takes into account the integral effect on rocks of natural and man-made forces. To study the proposed nonlinear model, the author developed a set of problem-oriented programs and presented the results of computational experiments. The author declares no conflicts of interests.

Keywords

Authors

References