MATHEMATICAL MODELING OF 3D DYNAMIC PROCESSES NEAR A FRACTURE USING THE FRACTURE MODEL OF SCHOENBERG
The fractured media are very important objects for investigation because they accumulate oil, the hydraulic fracturing is of great practical interest. The exploration of such heterogeneities with the help of methods of mathematical modelling allows to examine different problem formulations with fractures of different forms, sizes and other characteristics. The fracture model of Schoenberg allows to take into account the characteristics of fluid inside the fracture, which is very important while conducting the seismic geological surveys. In this work, we developed the algorithm for computing the medium parameters on the border of a fracture, described by the model of Schoenberg, using the grid-characteristic method. We present the results of application of the developed algorithm to the solution of the problem of seismic monitoring of the hydraulic fracture, where the fracture filling fluid is a necessary part of investigation.