Abstract
The work is aimed at numerical investigation of multi-phase contaminant transport in heterogeneous porous media at simulation of oil recovery processes. An original algorithm for construction of hierarchical locally-refined Cartesian meshes with adaptation to the solution in its high-gradient regions is developed and implemented on distributed memory multiprocessors using dynamic load balancing.
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References
R.E. Ewing (Ed.), The mathematics of reservoir simulations, SIAM, Philadelphia, 1983.
V.M. Entov and A.F. Zazovskij, Hydrodynamics of processes for oil production acceleration, Nedra, Moscow, 1989. - In Russian.
M.J. Berger and M.J. Aftosmus, “Aspects (and Aspect Ratios) of Cartesian Mesh Methods”, In: Proc. of the 16th Int. Conf. on Numerical Methods in Fluid Dynamics, Springer-Verlag, Heidelberg, Germany (1998).
J.A. Trangenstein, “Multi-scale iterative techniques and adaptive mesh refinement for flow in porous media”, Advances in Water Resources, 25 (2002) 1175–1213.
L.H. Howell and J.B. Bell, “An adaptive mesh projection method for viscous incompressible flow”, SIAM J. Sci. Comput. 18, 4 (1997) 996–1013.
B.N. Chetverushkin, N.G. Churbanova, A.A. Soukhinov and M.A. Trapeznikova, “Simulation of Contaminant Transport in an Oil-Bearing Stratum at Water Flooding”, In: CD-Rom Proc. of ECCOMAS CFD 06, P. Wesseling, E. Onate and J. Periaux (Eds.), TU Delft, The Netherlands (2006).
V.N. Nikolaevskij, Mechanics of porous and fissured media, Nedra, Moscow, 1984. - In Russian.
M.A. Trapeznikova, N.G. Churbanova and B.N. Chetverushkin, “Parallel elliptic solvers and their application to oil recovery simulation”, In: HPC‘2000, Grand Challenges in Computer Simulation, Proc. of Simulation Multi Conf., SCS, San Diego, CA (2000) 213–218.
B.N. Chetverushkin, N.G. Churbanova, M.A. Trapeznikova, A.A. Soukhinov and A.A. Malinovskij, “Adaptive Cartesian Mesh Refinement for Simulation of Multiphase Flows in Porous Media”, Computational Methods in Applied Mathematic, 2 (2008) – to appear.
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Chetverushkin, B., Churbanova, N., Malinovskij, A., Sukhinov, A., Marina, A. (2009). Parallel simulation of flows in porous media using adaptive locally-refined meshes. In: Parallel Computational Fluid Dynamics 2007. Lecture Notes in Computational Science and Engineering, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92744-0_46
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DOI: https://doi.org/10.1007/978-3-540-92744-0_46
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Online ISBN: 978-3-540-92744-0
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