期刊
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
卷 40, 期 10, 页码 1402-1437出版社
WILEY
DOI: 10.1002/nag.2485
关键词
hydraulic fracturing; GFEM; XFEM; multi-physics; coupled formulation; hydro-mechanical coupling; lubrication equation; solid-fluid coupling
资金
- Corporate Strategic Research, ExxonMobil Research and Engineering Company [EM09099/C3635]
- FMC Educational Fund Fellowship from the University of Illinois at Urbana-Champaign
- Scott Dissertation Completion Fellowship from the University of Illinois at Urbana-Champaign
This paper presents a coupled hydro-mechanical formulation for the simulation of non-planar three-dimensional hydraulic fractures. Deformation in the rock is modeled using linear elasticity, and the lubrication theory is adopted for the fluid flow in the fracture. The governing equations of the fluid flow and elasticity and the subsequent discretization are fully coupled. A Generalized/eXtended Finite Element Method (G/XFEM) is adopted for the discretization of the coupled system of equations. A Newton-Raphson method is used to solve the resulting system of nonlinear equations. A discretization strategy for the fluid flow problem on non-planar three-dimensional surfaces and a computationally efficient strategy for handling time integration combined with mesh adaptivity are also presented. Several three-dimensional numerical verification examples are solved. The examples illustrate the generality and accuracy of the proposed coupled formulation and discretization strategies. Copyright (C) 2015 John Wiley & Sons, Ltd.
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