Abstract:
The paper presents an approach to numerical modeling of deformation processes in geomedia across multiple scales. The approach is based on solving the equations of dynamics for an elasto-viscoplastic medium using the through-calculation finite-difference method. This method enables the analysis of both dynamic and quasi-static deformation processes. Key features of problem formulations for studying various processes are demonstrated. Particular attention is given to the mathematical model for describing deformation beyond the elastic limit, which employs a combined yield surface with a non-associated flow law. Such a model accounts for irreversible deformation processes, including dilatancy and compaction. Numerical modeling examples of rock sample behavior are provided, illustrating the model's adequacy. A series of simulations of dynamic and quasi-static deformation processes in geological media at different scales is considered, including the formation of irreversible deformation zones near boreholes, the development of shear localization bands in sedimentary layers, stress state calculations for crustal fragments, and others.
|
