Modeling of Two-Phase Fluid Flow in Fractured Reservoirs Using Extended Finite Element Method

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Hosseini, Navid | 2014

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 46374 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Khoei, Amir Reza
Abstract:
A fully coupled numerical model is developed for the modeling of the cracks in porous media with flow of two fluids using the extended finite element method.The governing equations of two-phase fluid flow in deformable porous media, which account for the coupling between various physical phenomena, are derived within the framework of the generalized Biot theory. The solid phase displacement, the wetting phase pressure and the capillary pressure are taken as the primary variables of the formulation. The other variables are incorporated into the model via the experimentally determined functions that specify the relationship between the hydraulic properties of the porous medium, i.e. saturation, permeability and capillary pressure.The spatial discretization using the extended finite element method and the time domain iscretization applying the generalized Newmark scheme yield the final system of fully coupled nonlinear equations, which involves the hydro-echanical coupling between the fracture and the porous medium urrounding the fracture
Keywords:
Semi Saturated Porousmedia ; Fractured Reservoirs ; Extended Finite Element Method ; Modeling ; Two Phase Fluid Flow

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