| As one of the unconventional resources, shale gas is a hot spot in current research on unconventional oil and gas resources. In this paper, I will first discuss the geology and geophysics reasons of shale gas reservoir, then I will discuss the influence of the characteristics of fracture development to shale gas exploration and development, the geophysical characteristics and identification methods of shale gas, analyzes the anisotropic characteristics, and discuss the present situation in geophysical detection technology development of shale gas reservoir.Based on the above discuss, this paper list some of the most widely used methods of equivalent medium model of crack, and then based on the model, do the elastic wave forward modeling of the shale gas reservoir. Established uniform anisotropic medium model, the paper first analysis the validity of the different fracture models, then use the Hudson fractured medium model and Liu fractured medium model, use the high precision staggered grids finite difference numerical simulation method, combing the PML absorbing conditions, simulation and analysis the influence of shale gas reservoir elastic wave propagation with different fracture density and different fillings. By investigating the propagation characteristics of elastic wave, we get the factors which influence of elastic wave propagation of shale gas reservoir, as the pore structure, fracture density and aspect ratio, the type of filler. Based on these, we can determine whether they contain shale gas. At last, the paper study the dynamical feature of heterogeneous anisotropic medium, compare the elastic wave field feature of a three layers model with different fillers. |