메뉴 건너뛰기




Volumn 8, Issue 2, 2002, Pages 129-147

A Monte Carlo method without grid for a fractured porous domain model

Author keywords

Double porosity model; Fractured porous media; Monte Carlo method; Simulation of Brownian motion exit time

Indexed keywords


EID: 33747628220     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: 10.1515/mcma.2002.8.2.129     Document Type: Article
Times cited : (9)

References (26)
  • 1
    • 0000001333 scopus 로고    scopus 로고
    • Implementation of a finite-volume method for the determination of effective parameters in fissured porous media
    • Y. CAILLABET, P. FABRIE, P. LANDEREAU, B. NOBTINGER, and M. QUINTARD. Implementation of a finite-volume method for the determination of effective parameters in fissured porous media. Numer. Methode Partial Differential Equations, vol. 16, n°2, pp. 237-263, 2000.
    • (2000) Numer. Methode Partial Differential Equations , vol.16 , Issue.2 , pp. 237-263
    • Caillabet, Y.1    Fabrie, P.2    Landereau, P.3    Nobtinger, B.4    Quintard, M.5
  • 4
    • 84972546816 scopus 로고
    • Second order differential operators and Dirichlet integrals with Singular coefficients. I: Functional calculus of onedimensional operators
    • B. GAVEAU, M. OKADA, and T. OKADA. Second order differential operators and Dirichlet integrals with Singular coefficients. I: Functional calculus of onedimensional operators. Tdhoku Math. J., vol. 11(39), pp. 465-504, 1987.
    • (1987) Tdhoku Math. J. , vol.11 , Issue.39 , pp. 465-504
    • Gaveau, B.1    Okada, M.2    Okada, T.3
  • 6
    • 26644467207 scopus 로고
    • Effective Permeability of Sandstone-shale Reservoirs by random walk method
    • J.F. McCARTHY. EflFective permeability of sandstone-shale reservoirs by random walk method. J. Phys. A: Math. Gen., vol. 23, pp. L445-L451, 1990.
    • (1990) J. Phys. A: Math. Gen. , vol.23
    • McCarthy, J.F.1
  • 7
    • 0026054166 scopus 로고
    • Analytical models of the effective permeability of sand-shale reservoirs
    • J.F. McCARTHY. Analytical models of the effective permeability of sand-shale reservoirs. Geophys. J. Int., vol. 105, pp. 513-527, 1991.
    • (1991) Geophys. J. Int. , vol.105 , pp. 513-527
    • McCarthy, J.F.1
  • 8
    • 33947509889 scopus 로고
    • Continuous-time random walks on random media
    • J.F. McCARTHY. Continuous-time random walks on random media. J. Phys. A: Math. Gen., vol. 26, pp. 2495-2503, 1993.
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 2495-2503
    • McCarthy, J.F.1
  • 9
    • 0027149012 scopus 로고
    • Reservoir characterization: Efficient random-walk methods for upscaling and image selection
    • Singapore, 8-10 February
    • J.F. McCARTHY. Reservoir characterization: Efficient random-walk methods for upscaling and image selection. In Proceedings of the SPE Asia Pacific Oil & Gas Conference & Exhibition. Singapore, 8-10 February, pp. 159-171, 1993.
    • (1993) Proceedings of the SPE Asia Pacific Oil & Gas Conference & Exhibition , pp. 159-171
    • McCarthy, J.F.1
  • 10
    • 51949096673 scopus 로고
    • Operateurs differentiels paraboliques a coefficients continus par morceaux et admettant un drift generalise
    • 2me serie
    • M. MASTRANGELO, D. DEHEN. Operateurs differentiels paraboliques a coefficients continus par morceaux et admettant un drift generalise. Bull. Sei. Math., vol. 116, pp. 67-93, 1992. 2me serie.
    • (1992) Bull. Sei. Math. , vol.116 , pp. 67-93
    • Mastrangelo, M.1    Dehen, D.2
  • 12
    • 0033249376 scopus 로고    scopus 로고
    • Simulation of a space-time bounded diffusion
    • G.N. MILSTEIN, M.V. TRETYAKOV. Simulation of a space-time bounded diffusion. Ann. Appl. Probab., vol. 9, n°3, pp. 732-779, 1999.
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.3 , pp. 732-779
    • Milstein, G.N.1    Tretyakov, M.V.2
  • 15
    • 0043244107 scopus 로고    scopus 로고
    • Application of random walk methods on unstructured grids to up-scale fractured reservoirs
    • Scotland
    • B. NCETINGER and T. ESTEBENET. Application of random walk methods on unstructured grids to up-scale fractured reservoirs. ECMOR VI Conf, Scotland, 1998.
    • (1998) ECMOR VI Conf
    • Ncetinger, B.1    Estebenet, T.2
  • 18
    • 0035358098 scopus 로고    scopus 로고
    • Up-scaling Flow in Fractured Media: Equivalence between the Large Scale Averaging Theory and the Continuous Time random walk method
    • B. NCETINGER, T. ESTEBENET and M. QUINTARD. Up-scaling flow in fractured media: equivalence between the large scale averaging theory and the continuous time random walk method. Trans. Porous Media, vol. 43, n°3, pp. 581-596, 2001.
    • (2001) Trans. Porous Media , vol.43 , Issue.3 , pp. 581-596
    • Ncetinger, B.1    Estebenet, T.2    Quintard, M.3
  • 19
    • 26044476650 scopus 로고
    • Diffusion process with generalized drift coefficient
    • N.I. PORTENKO. Diffusion process with generalized drift coefficient. Theory Probab. Appl., vol. 24, n°l, pp. 62-78, 1979.
    • (1979) Theory Probab. Appl. , vol.24 , Issue.1 , pp. 62-78
    • Portenko, N.I.1
  • 20
    • 33645654379 scopus 로고
    • Stochastic Differential Equations with generalized drift vector
    • N.I. PORTENKO. Stochastic Differential Equations with generalized drift vector. Theory Probab. Appl., vol. 24, n°2, pp. 338-353, 1979.
    • (1979) Theory Probab. Appl. , vol.24 , Issue.2 , pp. 338-353
    • Portenko, N.I.1
  • 21
    • 0002503075 scopus 로고
    • Discretization and Simulation of stochastic differential equations
    • E. PARDOUX and D. TALAY. Discretization and Simulation of stochastic differential equations. Acta Appl. Math., vol. 3, n°23, 1985.
    • (1985) Acta Appl. Math. , vol.3 , Issue.23
    • Pardoux, E.1    Talay, D.2
  • 22
    • 0029657583 scopus 로고    scopus 로고
    • Transport in chemically and mechanically heterogeous porous media. I: Theoritical development of region-averaged equations for sligthly compressible single-phase flow
    • M. QUINTARD and S. WHITAKER. Transport in chemically and mechanically heterogeous porous media. I: Theoritical development of region-averaged equations for sligthly compressible single-phase flow. Adv. Water Ressources, vol. 19, n°l, pp. 29-47, 1996.
    • (1996) Adv. Water Ressources , vol.19 , Issue.1 , pp. 29-47
    • Quintard, M.1    Whitaker, S.2
  • 23
    • 0029657582 scopus 로고    scopus 로고
    • Transport in chemically and mechanically heterogeous porous media. II: Comparisons with numerical experiments for slightly compressible single-phase flow
    • M. QUINTARD and S. WHITAKER. Transport in chemically and mechanically heterogeous porous media. II: Comparisons with numerical experiments for slightly compressible single-phase flow. Adv. Water Ressources, vol. 19, pp. 49-60, 1996.
    • (1996) Adv. Water Ressources , vol.19 , pp. 49-60
    • Quintard, M.1    Whitaker, S.2
  • 25
    • 0000576153 scopus 로고
    • Diffusion semigroups corresponding to uniformly elliptic divergence form operator
    • Seminaire de Probabilites XXII. Springer Verlag
    • D.W. STROOCK. Diffusion semigroups corresponding to uniformly elliptic divergence form operator. In Seminaire de Probabilites XXII, vol. 1321 of Lecture Notes in Mathematics, pp. 316-347. Springer Verlag, 1988.
    • (1988) Lecture Notes in Mathematics , vol.1321 , pp. 316-347
    • Stroock, D.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.