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《结构与土木工程前沿(英文)》 >> 2019年 第13卷 第1期 doi: 10.1007/s11709-018-0490-6

Hydromechanical model for hydraulic fractures using XFEM

Faculty of Mechanical Engineering, Leibniz University of Hanover, 30167 Hannover, Germany

录用日期: 2018-07-10 发布日期: 2019-01-04

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摘要

In this study, a hydromechanical model for fluid flow in fractured porous media is presented. We assume viscous fluids and the coupling equations are derived from the mass and momentum balance equations for saturated porous media. The fluid flow through discrete cracks will be modelled by the extended finite element method and an implicit time integration scheme. We also present a consistent linearization of the underlying non-linear discrete equations. They are solved by the Newton-Raphson iteration procedure in combination with a line search. Furthermore, the model is extended to includes crack propagation. Finally, examples are presented to demonstrate the versatility and efficiency of this two-scale hydromechanical model. The results suggest that the presence of the fracture in a deforming, porous media has great impact on the fluid flow and deformation patterns.

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