Abstract：Calculations of hydraulic fracturing are very essential for the exploration of shale gas. In this paper，the shale is approximated by a homogeneous porous medium. The seepage process in rock mass and the fluid motion in cracks are described by the dynamic Darcy-Biot and Poiseuille flows respectively. The crack propagation is tracked with the phase-field method and the simulation method for the dynamic hydraulic model is proposed. The method is implemented under an explicit finite element scheme. The accuracy of the method to calculate the dynamic displacement and pressure fields is illustrated by comparing the output with the one-dimensional analytical solution. A series of numerical examples indicate that the proposed method can not only simulate the typical characteristics of dynamic hydraulic fracturing，can also calculate the crack intersection，bifurcation and three-dimensional propagation.
LEWIS R W，SCHREFLER B A. The finite element method in the static and dynamic deformation and consolidation of porous media[M]. New York：John Wiley，1998：453-459.
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2017, Vol. 36 
