摘要

The periodic layered porous media is used to present the fractured porous media with mesoscopic inhomogeneities. Based on quasi-static poroelastic theory and White model, the effective medium model of P-wave propagating normal to the layer is given. The thinner layer in the periodic layered porous media can be substituted by a very thin and highly compliant layer to model fractures in a porous background. Compared with linear-slip fracture model, a dispersion equation for a P-wave propagating normal to fracture is given. The magnitude of velocity dispersion and energy attenuation of P-wave caused by wave induced pore fluid flow between pores and fractures are apparently larger than that of Biot fluid, and their peak value often lies in the seismic frequency band. The magnitude of velocity dispersion and attenuation of P-wave will increase monotonically with the increase of fracture weakness (fracture density). The characteristic frequency of the attenuation and velocity dispersion of P-wave depends both on the permeability and fluid viscosity of background porous media and on the fracture weakness and spacing.

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