In the article, within the framework of the dynamic theory of elasticity, a mathematical model of the impact of seismic blast waves on rock mass is presented, including a working. The increase in the volume of mining operations in complex mining and geological conditions, taking into account the influence of the explosion energy, is closely connected with the analysis of the main parameters of the stress-strain state of the rock massif including a working. The latter leads to the need to determine the safe parameters of drilling and blasting operations that ensure the operational state of mining. The main danger in detonation of an explosive charge near an active working is a seismic explosive wave which characteristics are determined by the properties of soil and parameters of drilling and blasting operations. The determination of stress fields and displacement velocities in rock mass requires the use of a modern mathematical apparatus for its solution. For numerical solution of the given boundary value problem by the method of finite differences, an original calculation-difference scheme is constructed. The application of the splitting method for solving a two-dimensional boundary value problem is reduced to the solution of spatially one-dimensional differential equations. For the obtained numerical algorithm, an effective computational software has been developed. Numerical solutions of the model problem are given for the case when the shape of the working has a form of an ellipse.
The variety of the mining and geological conditions with further increasing in depth of the development of bedded deposits leads to necessity for the analysis of stress and strain state near different types of excavations.
This article is devoted to the algorithm of the forecast of stress and strain state nonho-mogeneous layered physical nonlinear rock massif. The modeling based on applying the whole package of computational methods: variational method, discrete continuation on numeric parameter method, quasi-linearization of nonlinear value boundary problem, finite difference method, Thomas algorithm and iterative process.
Development of bedded deposits is associated with man-caused distortion of specific environment – the rock massifs, which are very complicated in their composition, can vary significantly in mechanical properties and is characterized with a wide variety of laws and techniques to assess its stress-strain state.
The variety of the mining and geological conditions with further increasing in depth of the development of bedded deposits leads to necessity for the analysis of stress-strain state near different types of excavations.
Development of computer engineering in mathematical modeling gives a possibility to use the numerical methods parallel with the analytical methods. Among them finite difference method, finite elements method, boundary element method and others. FDM is the effective one, which can be used in geomechanical problems extensively.
Mining of reservoir fields is associated with technogenic "perturbation" of a specific environment - a rock massif. This object is very complex in structure, different in mechanical properties and characterized by a wide variety of laws of change of its stress-strain state (SSS). Obviously, the study of parameters of mechanical processes in such media cannot be methodologically predetermined by the use of data only from full-scale experiments, or data only from laboratory studies or the results of analytical calculations.
Проектирование и строительство шахт, горных выработок и возведение подземных сооружений на большой глубине в различных горно-геологических условиях - сложные процессы, связанные с анализом параметров напряженного и деформированного состояния в выработках. Существует множество различных методов определения геомеханических параметров. Основными методами определения напряженного и деформированного состояния являются геологоразведка, инженерная физика, экспериментальные исследования, механика сплошной среды.
The rock in a rock mass is in a tense equilibrium. This equilibrium is usually broken when mining operations are stopped. There are many theories related to rock pressure in the stoping zone. Obviously, the solution of problems on this subject is associated with the study of deformation and dislocation processes of rocks in the workings and mine shaft. Since it is difficult to conduct grandiose full-scale experiments, these problems have to be solved by new developed methods, which are very universal and informative.
A mathematical model of interaction of a multilayer massif with a thin coal seam, including initial resolving differential equations and boundary conditions, has been obtained. The developed algorithm of numerical solution is implemented in a computational program in which the input parameters are geological characteristics of the main and immediate roof, stiffness coefficient of the coal seam in the massif and the law of its change in the edge zone, stiffness coefficient of soil rocks, stiffness coefficient of fill material, layer thickness and ultimate deformations of the roof. Accordingly, the output parameters of the calculation program are: the response of the coal seam to the action of the load from the overlying massif (support pressure), vertical and angular displacement of the roof layers over the coal seam, vertical and angular displacement of the roof over the mined-out space, the ultimate span of the roof.
