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Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media

Computer Modeling in Engineering & Sciences 2019年第4期119卷 145-163页

作者： philippe devloo Wenchao Teng Chen-Song Zhang FEC Universidade Estadual de CampinasBrazil Tracy Energy Technologies BeijingChina NCMIS&LSEC Academy of Mathematics and System SciencesCASBeijingChina

The multiscale hybrid-mixed(MHM)method is applied to the numerical approximation of two-dimensional matrix fluid flow in porous media with *** two-dimensional fluid flow in the reservoir and the one-dimensional flow in the discrete fractures are approximated using mixed finite *** coupling of the two-dimensional matrix flow with the one-dimensional fracture flow is enforced using the pressure of the one-dimensional flow as a Lagrange multiplier to express the conservation of fluid transfer between the fracture flow and the divergence of the one-dimensional fracture flux.A zero-dimensional pressure(point element)is used to express conservation of mass where fractures *** issuing simulation is then reduced using the MHM method leading to accurate results with a very reduced number of global equations.A general system was developed where fracture geometries and conductivities are specified in an input file and meshes are generated using the public domain mesh generator *** test cases illustrate the effectiveness of the proposed approach by comparing the multiscale results with direct simulations.

关键词： Fracture simulation discrete fracture model multiscale hybrid finite element mixed formulation

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hp Adaptive Refinement Strategy in the PZ Environment

hp Adaptive Refinement Strategy in the PZ Environment

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The Sixth World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics

作者： philippe R.B.devloo Edimar C.Rylo Cedric M.A.A.Bravo Department of Structure Faculty of Civil Engineering University of Campinas Av.Albert Einstein 951 Campinas - SP CP 6021 CEP: 13083-852 Brazil Department of Structure Faculty of Civil Engineering University of Campinas Av.Albert Einstein 951 Campinas - SP CP 6021 CEP: 13083-852 Brazil Department of Structure Faculty of Civil Engineering University of Campinas Av.Albert Einstein 951 Campinas - SP CP 6021 CEP: 13083-852 Brazil

hp refinement applied to the finite element method should lead to faster convergence than h or p refinement [3,4]. On the other hand, h and p refinements are easier to implement. The complexity of an hp refinement is increased when the process is implemented for any type of mesh [1] In the PZ environment [2], the hp adaptive method was designed to work with heterogeneous mesh.

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