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Frontiers of Structural and Civil Engineering

Front. Struct. Civ. Eng.    2019, Vol. 13 Issue (1) : 240-249     https://doi.org/10.1007/s11709-018-0490-6
RESEARCH ARTICLE |
Hydromechanical model for hydraulic fractures using XFEM
Bo HE()
Faculty of Mechanical Engineering, Leibniz University of Hanover, 30167 Hannover, Germany
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Abstract

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.

Keywords multi-phase medium      porous      fracture      multi-scale method     
Corresponding Authors: Bo HE   
Online First Date: 10 July 2018    Issue Date: 04 January 2019
 Cite this article:   
Bo HE. Hydromechanical model for hydraulic fractures using XFEM[J]. Front. Struct. Civ. Eng., 2019, 13(1): 240-249.
 URL:  
http://journal.hep.com.cn/fsce/EN/10.1007/s11709-018-0490-6
http://journal.hep.com.cn/fsce/EN/Y2019/V13/I1/240
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Bo HE
Fig.1  Flow characteristics in a fractured, deforming porous medium
Fig.2  Schematic illustration of boundary conditions
Fig.3  Schematic illustration of cavity geometry
Fig.4  Local coordinates (r, θ) at tip element
Fig.5  Domain with center fracture and boundary conditions
Fig.6  Calculation result. (a) fluid pressure and (b) stress profile in x direction
Fig.7  Domain with a edge fracture and boundary conditions
Fig.8  Calculation result: (a) fluid pressure and (b) displacement field
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