Modelling of Fractured Media with the Help of the LSM Model by the Grid-Characteristic Method

Seismic prospecting is a very effective method for investigating different geological media on the presence of hydrocarbon layers. Fractures are often a barrier on the way of exploration of the chosen area. Numerical modelling is one of the ways of solving the problem of investigating the area with fractures. Many scientific works are devoted to studying fractures, there are lots of models for fractures of different length, width. But still, there is no single model for describing fractures. One of the most popular and effective fracture models is the LSM model (Linear Slip Model) of Shoenberg, where a fracture is described by two parameters — length and stiffness. The grid-characteristic method is applied to modelling wave processes. It is quite good for solving the problems of wave impulse spread in heterogenious media. The result of this work is the introduction of the LSM model into the grid-characteristic method. The results of modelling the elastic waves spread in a homogeneous medium with the Shoenberg fracture are compared with modelling a fracture represented by a two-shore extremely thin fracture model. The LSM model is more general, then the result of comparison is very close for the degenerate case of the LSM model.