A fast marching method for reservoir simulation
作者： K Hvistendahl Karlsen , K-A Lie , NH Risebro , None
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摘要: We present a fast marching level set method for reservoir simulation based on fractional flow formulation of two-phase, incompressible, immiscible in two or three space dimensions. The uses approach and is therefore considerably faster than conventional finite difference methods. compares favorably with front tracking as regards both efficiency accuracy. In addition, it maintains the advantage being able to handle changing topologies structure.
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Martino Bardi, Michael G Crandall, Lawrence C Evans, Halil Mete Soner, Panagiotis E Souganidis, Panagiotis E Souganidis, Front propagation: Theory and applications Springer Berlin Heidelberg. pp. 186- 242 ,(1997) , 10.1007/BFB0094298
Knut-Andreas Lie, A Dimensional Splitting Method for Quasilinear Hyperbolic Equations with Variable Coefficients Bit Numerical Mathematics. ,vol. 39, pp. 683- 700 ,(1999) , 10.1023/A:1022339223716
Magne S. Espedal, Kenneth Hvistendahl Karlsen, Numerical solution of reservoir flow models based on large time step operator splitting algorithms Filtration in Porous Media and Industrial Application. pp. 9- 77 ,(2000) , 10.1007/BFB0103975
Khalid Aziz and Antonin Settari, Petroleum Reservoir Simulation ,(1979)
James Albert Sethian, Level set methods and fast marching methods : evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science Cambridge University Press. ,(1999)
Guy Chavent, Mathematical models and finite elements for reservoir simulation ,(1986)
S. Evje, K. Hvistendahl Karlsen, K. A. Lie, N. H. Risebro, Front Tracking and Operator Splitting for Nonlinear Degenerate Convection-Diffusion Equations IMA. ,vol. 120, pp. 209- 227 ,(2000) , 10.1007/978-1-4612-1176-1_9
Tariq D. Aslam, A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws II: Systems of Equations Journal of Scientific Computing. ,vol. 19, pp. 37- 62 ,(2003) , 10.1023/A:1025387405273
V. Haugse, K. H. Karlsen, K.-A. Lie, J. R. Natvig, Numerical Solution of the Polymer System by Front Tracking Transport in Porous Media. ,vol. 44, pp. 63- 83 ,(2001) , 10.1023/A:1010740024800
Donald W. Peaceman, Fundamentals of numerical reservoir simulation ,(1977)