Abstract
Fluid-solid coupling is ubiquitous in the process of fluid flow underground and has a significant influence on the development of oil and gas reservoirs. To investigate these phenomena, the coupled mathematical model of solid deformation and fluid flow in fractured porous media is established. In this study, the discrete fracture model (DFM) is applied to capture fluid flow in the fractured porous media, which represents fractures explicitly and avoids calculating shape factor for cross flow. In addition, the extended finite element method (XFEM) is applied to capture solid deformation due to the discontinuity caused by fractures. More importantly, this model captures the change of fractures aperture during the simulation, and then adjusts fluid flow in the fractures. The final linear equation set is derived and solved for a 2D plane strain problem. Results show that the combination of discrete fracture model and extended finite element method is suited for simulating coupled deformation and fluid flow in fractured porous media.
Highlights
The technology of hydraulic fracturing has been widely used for reservoir stimulation, especially for unconventional reservoirs [1]
Coupled rock deformation and fluid flow in fractured porous media is important for reservoir simulation because rock deformation exerts an important influence on reservoir production [2]
The combination of discrete fracture model and extended finite element method is used to couple deformation and fluid flow in fractured porous media
Summary
The technology of hydraulic fracturing has been widely used for reservoir stimulation, especially for unconventional reservoirs [1]. The approach adopts the transfer function presented by Barenblatt [12] to account for cross flow between the overlapping matrix and fracture elements, which was a dual continuum model to this extent. Ghafouri and Lewis [18,19] presented a finite element continuum approach to describe the coupled deformation and fluid flow in fractured porous media, which was based on double porosity model. Presented FM approach and the extended finite element method for coupled deformation and fluid flow in fractured porous media. The combination of discrete fracture model and extended finite element method is used to couple deformation and fluid flow in fractured porous media. The extended finite element method and the discrete fracture model are briefly described to capture deformation and fluid flow respectively, and spatial and temporal discretization are conducted.
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