Discrete-continual method of analysis of the coupled system “plate-soil foundation” in context of microseismic and gravitational processes in foundation

This paper is devoted to discrete-continual method of analysis of coupled system “plate-soil foundation” in context of microseismic and gravitational processes in foundation. This method is called discrete-continual because it presupposes finite element approximation with respect to space coordinates while corresponding problem remains continual in time. This reasonable combination of numerical and analytical approaches offers numerous advantages and provides a high degree of accuracy. Time discretization is not required and therefore this appreciable fact in its turn leads to considerable reduction in computing time and number of operations. Due to specificity of initial data standard step-by-step methods couldn't meet the challenge for the considering problem. Brief introduction to the problems of geological efficiency of microseismic processes in foundations is provided. Original formulation is based on elastic theory and linear creep theory. Special soil model allowing propagation of plastic deformations and nonlinear model of soil foundation under cyclic loadings are used. Being foreground subject of the paper, discrete-continual method is considered in the aspects of theoretical basics, numerical implementation and software packages. Numerical example is presented as well.