..., shuts off the prior fracturing stage and open a port for the next stage ( Lehman and Shah, 2011 ). In this paper, a full 3D hydraulic fracturing simulation using eXtended Finite Element Method (X-FEM) is conducted on Well A. The unique functionalities of the hydraulic fracturing simulator include...

... coupled 3D hydraulic fracturing simulator with the finite element method, where the interaction between fractures is completely taken into account. We develop a finite element equation to describe fracturing deformation and propagation based on linear elastic fracture mechanics, another one to describe...

... formulation, it can be solved on a finite dimensional space. For finite element methods or other continuous Galerkin methods, a function v c in the finite dimensional space used to approximate the solution is continuous, which means v c has the same value at the point A in all the four elements K i...

... stress in a reservoir. Several improvements of the finite element over the finite difference method were noted. Some of the hoped-for advantages of the finite difference stress calculation were shown to be better served with the finite element method. These include the ease of setting boundary conditions...

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... formations. The Galerkin based finite element method will be applied to obtain simultaneous solutions to the governing equation system where the displacement and the fluid pressures are the primary unknowns. Finally, several simulations are to be conducted for predicting the overall performance...