Mathematical Modeling of Spatial Wave Responses by Grid-characteristic Method on Irregular Computational Meshes

Abstract

The aim of this article is representing of mathematical modeling results in spatial exploration seismology problems, in particular the problem of seismic waves propagation in fractured layers with fractures of different dimensions. The modeling was produced by grid-characteristic method with use of irregular computational meshes (triangle in 2D-case and tetrahedral in 3D-case). The use of such numerical method takes into consideration the characteristic physical properties of describing processes and give us possibility to construct correct algorithms on boundaries and contact boundaries in integrational domain. By the use of unstructured meshes we can produce computations of wave processes in any areas of different complex shapes.