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    Numerical simulation of proppant transport and tip screen-out in hydraulic fracturing with the extended finite element method

    , Article International Journal of Rock Mechanics and Mining Sciences ; Volume 128 , 2020 Hosseini, N ; Khoei, A. R ; Sharif University of Technology
    Elsevier Ltd  2020
    Abstract
    In this paper, a numerical model is developed based on the X-FEM technique to simulate the proppant transport and tip screen-out in hydraulic fracturing. The governing equations are based on the momentum balance and mass conservation of the fluid. The hydro-mechanical coupling between the fracture and surrounding porous medium is fulfilled through the weak form of the governing equations. The fluid inflow within the fracture is modeled using the one-dimensional mass conservation of the injected slurry and proppant along the fracture, in which the viscosity of the slurry is dependent on the proppant concentration. The transition from the Poiseuille to Darcy flow regime is incorporated into... 

    Numerical Modeling of Fluid Flow and Proppant Transport in Hydraulic Fracture Using Extended Finite Element Method

    , Ph.D. Dissertation Sharif University of Technology Hosseini, Navid (Author) ; Khoei, Amir Reza (Supervisor) ; Shad, Saeed (Co-Supervisor)
    Abstract
    Transport phenomena in porous media play important role in many areas of subsurface hydrology, geo-physics, environment, energy and petroleum. The work in the field of numerical modeling of fractured porous media is yet an open area of research. The classic finite element method (FEM) has some limitations in modeling of discontinuities like fracture. FEM mesh should conform with the geometry of the fracture. Presence of fracture imposes discontinuity in pressure field of fluid phases and displacement field of solid phase (rock). To represent the fractures, the extended finite element method (X-FEM) can be used in which the standard finite element approximation of the field variables is...