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Volumn 250, Issue , 2013, Pages 685-702

Multilevel Monte Carlo for two phase flow and Buckley-Leverett transport in random heterogeneous porous media

Author keywords

Multilevel Monte Carlo; Random heterogeneous porous media; Streamline solver; Two phase flow; Two phase transport

Indexed keywords

MONTE CARLO METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PETROLEUM RESERVOIR ENGINEERING; POROUS MATERIALS; STOCHASTIC SYSTEMS;

EID: 84937634671     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.03.023     Document Type: Article
Times cited : (67)

References (23)
  • 2
    • 35948933092 scopus 로고    scopus 로고
    • Probabilistic collocation method for flow in porous media: comparisons with other stochastic methods
    • Li H., Zhang D.X. Probabilistic collocation method for flow in porous media: comparisons with other stochastic methods. Water Resources Research 2007, 43:W09409.
    • (2007) Water Resources Research , vol.43 , pp. W09409
    • Li, H.1    Zhang, D.X.2
  • 3
    • 67349184303 scopus 로고    scopus 로고
    • An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media
    • Lin G., Tartakovsky A.M. An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media. Advances in Water Resources 2009, 32(5):712-722.
    • (2009) Advances in Water Resources , vol.32 , Issue.5 , pp. 712-722
    • Lin, G.1    Tartakovsky, A.M.2
  • 4
    • 80054756144 scopus 로고    scopus 로고
    • Probabilistic collocation and Lagrangian sampling for advective tracer transport in randomly heterogeneous porous media
    • Müller F., Jenny P., Meyer D.W. Probabilistic collocation and Lagrangian sampling for advective tracer transport in randomly heterogeneous porous media. Advances in Water Resources 2011, 34(12):1527-1538.
    • (2011) Advances in Water Resources , vol.34 , Issue.12 , pp. 1527-1538
    • Müller, F.1    Jenny, P.2    Meyer, D.W.3
  • 6
    • 61449162945 scopus 로고    scopus 로고
    • Multilevel Monte Carlo path simulation
    • Giles M.B. Multilevel Monte Carlo path simulation. Operations Research 2008, 56(3):607-617.
    • (2008) Operations Research , vol.56 , Issue.3 , pp. 607-617
    • Giles, M.B.1
  • 8
    • 80051663252 scopus 로고    scopus 로고
    • Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
    • Barth A., Schwab C., Zollinger N. Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Numerische Mathematik 2011, 119(1):123-161.
    • (2011) Numerische Mathematik , vol.119 , Issue.1 , pp. 123-161
    • Barth, A.1    Schwab, C.2    Zollinger, N.3
  • 9
    • 84864409605 scopus 로고    scopus 로고
    • Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data
    • Mishra S., Schwab C. Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Mathematics of Computation 2012, 81(280):1979-2018.
    • (2012) Mathematics of Computation , vol.81 , Issue.280 , pp. 1979-2018
    • Mishra, S.1    Schwab, C.2
  • 10
    • 84857231612 scopus 로고    scopus 로고
    • Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions
    • Mishra S., Schwab C., Sukys J. Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. Journal of Computational Physics 2012, 231(8):3365-3388.
    • (2012) Journal of Computational Physics , vol.231 , Issue.8 , pp. 3365-3388
    • Mishra, S.1    Schwab, C.2    Sukys, J.3
  • 11
    • 80054940798 scopus 로고    scopus 로고
    • Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods
    • Preprint.
    • J. Charrier, R. Scheichl, A. Teckentrup, Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods, Preprint.
    • Charrier, J.1    Scheichl, R.2    Teckentrup, A.3
  • 13
    • 0033278815 scopus 로고    scopus 로고
    • Stochastic analysis of immiscible two-phase flow in heterogeneous media
    • Zhang D.X., Tchelepi H.A. Stochastic analysis of immiscible two-phase flow in heterogeneous media. Spe Journal 1999, 4(4):380-388.
    • (1999) Spe Journal , vol.4 , Issue.4 , pp. 380-388
    • Zhang, D.X.1    Tchelepi, H.A.2
  • 14
    • 0004044022 scopus 로고    scopus 로고
    • A three-dimensional two-phase field scale streamline simulator
    • Ph.D. Thesis, Stanford University
    • R.P. Batycky, A three-dimensional two-phase field scale streamline simulator, Ph.D. Thesis, Stanford University, 1997.
    • (1997)
    • Batycky, R.P.1
  • 15
    • 0031259715 scopus 로고    scopus 로고
    • Theory for the semi-analytical calculation of oil recovery and effective relative permeabilities using streamtubes
    • Hewett T.A., Yamada T. Theory for the semi-analytical calculation of oil recovery and effective relative permeabilities using streamtubes. Advances in Water resources 1997, 20(5-6):279-292.
    • (1997) Advances in Water resources , vol.20 , Issue.5-6 , pp. 279-292
    • Hewett, T.A.1    Yamada, T.2
  • 16
    • 78649797044 scopus 로고    scopus 로고
    • Particle-based transport model with Markovian velocity processes for tracer dispersion in highly heterogeneous porous media
    • Meyer D.W., Tchelepi H.A. Particle-based transport model with Markovian velocity processes for tracer dispersion in highly heterogeneous porous media. Water Resources Research 2010, 46(11):W11552.
    • (2010) Water Resources Research , vol.46 , Issue.11 , pp. W11552
    • Meyer, D.W.1    Tchelepi, H.A.2
  • 17
    • 0024163446 scopus 로고
    • Semianalytical computation of path lines for finite-difference models
    • Pollock D.W. Semianalytical computation of path lines for finite-difference models. Ground Water 1988, 26(6):743-750.
    • (1988) Ground Water , vol.26 , Issue.6 , pp. 743-750
    • Pollock, D.W.1
  • 19
    • 0004148844 scopus 로고    scopus 로고
    • American Mathematical Society
    • Lieb E.H., Loss M. Analysis 2001, American Mathematical Society. second ed.
    • (2001) Analysis
    • Lieb, E.H.1    Loss, M.2
  • 22
    • 0031173547 scopus 로고    scopus 로고
    • Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix
    • Dietrich C.R., Newsam G.N. Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix. SIAM Journal on Scientific Computing 1997, 18(4):1088-1107.
    • (1997) SIAM Journal on Scientific Computing , vol.18 , Issue.4 , pp. 1088-1107
    • Dietrich, C.R.1    Newsam, G.N.2
  • 23
    • 0033843862 scopus 로고    scopus 로고
    • The FFT moving average (FFT-MA) generator: an efficient numerical method for generating and conditioning Gaussian simulations
    • Ravalec M.L., Noetinger B., Hu L.Y. The FFT moving average (FFT-MA) generator: an efficient numerical method for generating and conditioning Gaussian simulations. Mathematical Geology 2000, 32(6):701-723.
    • (2000) Mathematical Geology , vol.32 , Issue.6 , pp. 701-723
    • Ravalec, M.L.1    Noetinger, B.2    Hu, L.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.