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Volumn 56, Issue 4, 1998, Pages 741-765

Stochastic methods for the prediction of complex multiscale phenomena

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 0032299067     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1668736     Document Type: Article
Times cited : (17)

References (72)
  • 1
    • 85034282288 scopus 로고    scopus 로고
    • Accounting for uncertainty in geostatistical parameters within a stochastic simulation
    • Swiss Federal Institute of Technology, Department of Soil Protection
    • K. Abbaspour, R. Schulin, M. Th. van Genuchten, and E. Schlappi, Accounting for uncertainty in geostatistical parameters within a stochastic simulation, Technical report, Swiss Federal Institute of Technology, Department of Soil Protection, 1997
    • (1997) Technical Report
    • Abbaspour, K.1    Schulin, R.2    Van Genuchten, M.Th.3    Schlappi, E.4
  • 2
    • 85034305351 scopus 로고    scopus 로고
    • Procedures for uncertainty analysis applied to a landfill leacheate plume
    • Swiss Federal Institute of Technology, Department of Soil Protection
    • K. Abbaspour, R. Schulin, M. Th. van Genuchten, and E. Schlappi, Procedures for uncertainty analysis applied to a landfill leacheate plume, Technical report, Swiss Federal Institute of Technology, Department of Soil Protection, 1997
    • (1997) Technical Report
    • Abbaspour, K.1    Schulin, R.2    Van Genuchten, M.Th.3    Schlappi, E.4
  • 3
    • 0001255562 scopus 로고
    • Power laws and similarity of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts at all density ratios
    • U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Power laws and similarity of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts at all density ratios, Phys. Rev. Lett. 74, 534-538 (1995)
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 534-538
    • Alon, U.1    Hecht, J.2    Ofer, D.3    Shvarts, D.4
  • 4
    • 0003319850 scopus 로고    scopus 로고
    • Two-phase flow model for Rayleigh-Taylor and Richtmyer-Meshkov mixing
    • R. Young, J. Glimm, and B. Boston, editors, World Scientific, Singapore
    • U. Alon and D. Shvarts, Two-phase flow model for Rayleigh-Taylor and Richtmyer-Meshkov mixing, in R. Young, J. Glimm, and B. Boston, editors, Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing, World Scientific, Singapore, 1996
    • (1996) Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing
    • Alon, U.1    Shvarts, D.2
  • 5
    • 0002439692 scopus 로고
    • Scale up of flow in porous media
    • A. Burgeat, C. Carasso, S. Luckhaus, and A. Mikelic, editors, World Scientific
    • L. An, J. Glimm, D. H. Sharp, and Q. Zhang, Scale up of flow in porous media, in A. Burgeat, C. Carasso, S. Luckhaus, and A. Mikelic, editors, Mathematical Modeling of Flow Through Porous Media, World Scientific, 1995, pp. 26-44
    • (1995) Mathematical Modeling of Flow Through Porous Media , pp. 26-44
    • An, L.1    Glimm, J.2    Sharp, D.H.3    Zhang, Q.4
  • 6
    • 0028556078 scopus 로고
    • History matching using the method of gradients: Two case studies
    • SPE 28590, 1994. New Orleans, 25-28 September
    • R. C. Bissel, Y. Sharma, and J, E. Killough, History matching using the method of gradients: Two case studies, SPE 28590, 1994. 69th Annual Technical Conference and Exhibition, New Orleans, 25-28 September, 1994
    • (1994) 69th Annual Technical Conference and Exhibition
    • Bissel, R.C.1    Sharma, Y.2    Killough, J.E.3
  • 7
    • 0029656390 scopus 로고    scopus 로고
    • A two-phase flow model of the Rayleigh-Taylor mixing zone
    • Y. Chen, J. Glimm, D. H. Sharp, and Q. Zhang, A two-phase flow model of the Rayleigh-Taylor mixing zone, Phys. Fluids 8(3), 816-825 (1996)
    • (1996) Phys. Fluids , vol.8 , Issue.3 , pp. 816-825
    • Chen, Y.1    Glimm, J.2    Sharp, D.H.3    Zhang, Q.4
  • 8
    • 0039657693 scopus 로고
    • Convergence to diffusion waves of solutions for viscous conservation laws
    • I.-L. Chern and T.-P. Liu, Convergence to diffusion waves of solutions for viscous conservation laws, Comm. Math. Phys. 110, 503-517 (1987)
    • (1987) Comm. Math. Phys. , vol.110 , pp. 503-517
    • Chern, I.-L.1    Liu, T.-P.2
  • 10
    • 85034307450 scopus 로고    scopus 로고
    • Private communication
    • M. Christie, Private communication, 1997
    • (1997)
    • Christie, M.1
  • 12
    • 0001482955 scopus 로고    scopus 로고
    • An introduction to estimation theory
    • S. Cohn, An introduction to estimation theory, J. Meteorological Soc. Japan 77, 257-288 (1997)
    • (1997) J. Meteorological Soc. Japan , vol.77 , pp. 257-288
    • Cohn, S.1
  • 13
    • 0029413780 scopus 로고
    • Characterizing heterogeneous permeable media with spatial statistics and tracer data using sequential simulated annealing
    • A. Datta-Gupta, L. W. Lake, and G. A. Pope, Characterizing heterogeneous permeable media with spatial statistics and tracer data using sequential simulated annealing, Mathematical Geology 27, 763-787 (1995)
    • (1995) Mathematical Geology , vol.27 , pp. 763-787
    • Datta-Gupta, A.1    Lake, L.W.2    Pope, G.A.3
  • 15
    • 0029545909 scopus 로고
    • Scale up of heterogeneous three dimensional reservoir descriptions
    • SPE Proceedings (SPE 30709), October 1995. Dallas, USA, 22-25 October
    • L. J. Durlofsky, R. A. Behrens, R. C. Jones, and A. Bernath, Scale up of heterogeneous three dimensional reservoir descriptions, SPE Proceedings (SPE 30709), October 1995. Presented at SPE Annual Technical Conference and Exhibition, Dallas, USA, 22-25 October 1995
    • (1995) SPE Annual Technical Conference and Exhibition
    • Durlofsky, L.J.1    Behrens, R.A.2    Jones, R.C.3    Bernath, A.4
  • 16
    • 0029667850 scopus 로고    scopus 로고
    • Identification of hydraulic conductivity structure in sand and gravel aquifers: Cape cod data set
    • J. R. Eggleston, S. A. Rojstaczer, and J. J. Pierce, Identification of hydraulic conductivity structure in sand and gravel aquifers: Cape cod data set, Water Res. Research 32, 1209-1222 (1996)
    • (1996) Water Res. Research , vol.32 , pp. 1209-1222
    • Eggleston, J.R.1    Rojstaczer, S.A.2    Pierce, J.J.3
  • 17
    • 0031108960 scopus 로고    scopus 로고
    • Statistical characterization of the three-dimensional microgeometry of porous media and correlation with macroscopic transport properties
    • J. T. Fredrich and W. B. Lindquist, Statistical characterization of the three-dimensional microgeometry of porous media and correlation with macroscopic transport properties, Internat. J. Rock Mech. and Min. Sci. 34, 3-4 (1997)
    • (1997) Internat. J. Rock Mech. and Min. Sci. , vol.34 , pp. 3-4
    • Fredrich, J.T.1    Lindquist, W.B.2
  • 18
    • 36449006912 scopus 로고
    • Two-phase flow analysis of self-similar turbulent mixing by Rayleigh-Taylor instability
    • N. Freed, D. Ofer, D. Shvarts, and S. Orszag, Two-phase flow analysis of self-similar turbulent mixing by Rayleigh-Taylor instability, Phys. Fluids A 3(5), 912-918 (1991)
    • (1991) Phys. Fluids A , vol.3 , Issue.5 , pp. 912-918
    • Freed, N.1    Ofer, D.2    Shvarts, D.3    Orszag, S.4
  • 19
    • 0013198368 scopus 로고
    • Multi length scale calculations of mixing length growth in tracer floods
    • F. Kovarik, editor, Institute for Improved Oil Recovery, Univ. Houston, Houston, TX
    • F. Furtado, J. Glimm, W. B. Lindquist, and F. Pereira, Multi length scale calculations of mixing length growth in tracer floods, in F. Kovarik, editor, Proceedings of the Emerging Technologies Conference, Institute for Improved Oil Recovery, Univ. Houston, Houston, TX, 1990, pp. 251-259
    • (1990) Proceedings of the Emerging Technologies Conference , pp. 251-259
    • Furtado, F.1    Glimm, J.2    Lindquist, W.B.3    Pereira, F.4
  • 20
    • 0005432670 scopus 로고    scopus 로고
    • Scaling analysis for two-phase immiscible flow in heterogeneous porous media
    • University of Wyoming
    • F. Furtado and F. Pereira, Scaling analysis for two-phase immiscible flow in heterogeneous porous media, Technical report, University of Wyoming, 1997
    • (1997) Technical Report
    • Furtado, F.1    Pereira, F.2
  • 24
    • 0040871215 scopus 로고    scopus 로고
    • Robust computational algorithms for dynamic interface tracking in three dimensions
    • preparation
    • J. Glimm, J. Grove, X.-L. Li, and D. C. Tan, Robust computational algorithms for dynamic interface tracking in three dimensions, Technical Report, in preparation, 1998
    • (1998) Technical Report
    • Glimm, J.1    Grove, J.2    Li, X.-L.3    Tan, D.C.4
  • 29
    • 1442346908 scopus 로고    scopus 로고
    • Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing
    • J. Glimm, D. Saltz, and D. H. Sharp, Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing, Phys. Lett A, 222, 171-176 (1996)
    • (1996) Phys. Lett A , vol.222 , pp. 171-176
    • Glimm, J.1    Saltz, D.2    Sharp, D.H.3
  • 31
    • 0000195261 scopus 로고    scopus 로고
    • The statistical evolution of chaotic fluid mixing
    • Technical Report SUNYSB-AMS-97-05, SUNY at Stony Brook, Submitted
    • J. Glimm, D. Saltz, and D. H. Sharp, The statistical evolution of chaotic fluid mixing, Technical Report SUNYSB-AMS-97-05, SUNY at Stony Brook, 1997. Submitted to Phys. Rev. Lett.
    • (1997) Phys. Rev. Lett.
    • Glimm, J.1    Saltz, D.2    Sharp, D.H.3
  • 32
    • 85034284203 scopus 로고    scopus 로고
    • Two-phase modeling of a fluid mixing layer
    • Technical Report SUNYSB-AMS-97-01, SUNY at Stony Brook, Submitted
    • J. Glimm, D. Saltz, and D. H. Sharp, Two-phase modeling of a fluid mixing layer, Technical Report SUNYSB-AMS-97-01, SUNY at Stony Brook, 1997. Submitted to J. Fluid Mech.
    • (1997) J. Fluid Mech.
    • Glimm, J.1    Saltz, D.2    Sharp, D.H.3
  • 33
    • 0003330018 scopus 로고    scopus 로고
    • Two-pressure two-phase flow
    • G.-Q. Chen, Y. Li, and X. Zhu, editors, World Scientific
    • J. Glimm, D. Saltz, and D. H. Sharp, Two-pressure two-phase flow, in G.-Q. Chen, Y. Li, and X. Zhu, editors, Nonlinear Partial Differential Equations, World Scientific, 1998
    • (1998) Nonlinear Partial Differential Equations
    • Glimm, J.1    Saltz, D.2    Sharp, D.H.3
  • 34
    • 0000877534 scopus 로고
    • Chaotic mixing as a renormalization group fixed point
    • J. Glimm and D. H. Sharp, Chaotic mixing as a renormalization group fixed point, Phys. Rev. Lett. 64, 2137-2139 (1990)
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2137-2139
    • Glimm, J.1    Sharp, D.H.2
  • 35
    • 0001036760 scopus 로고
    • A random field model for anomalous diffusion in heterogeneous porous media
    • J. Glimm and D. H. Sharp, A random field model for anomalous diffusion in heterogeneous porous media, J. Stat. Phys. 62, 415-424 (1991)
    • (1991) J. Stat. Phys. , vol.62 , pp. 415-424
    • Glimm, J.1    Sharp, D.H.2
  • 36
    • 0038248017 scopus 로고    scopus 로고
    • Stochastic partial differential equations: Selected applications in continuum physics
    • R. A. Carmona and B. L. Rozovskii, editors, American Mathematical Society, Providence, RI
    • J. Glimm and D. H. Sharp, Stochastic partial differential equations: Selected applications in continuum physics, in R. A. Carmona and B. L. Rozovskii, editors, Stochastic Partial Differential Equations: Six Perspectives, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 1997
    • (1997) Stochastic Partial Differential Equations: Six Perspectives, Mathematical Surveys and Monographs
    • Glimm, J.1    Sharp, D.H.2
  • 37
    • 0000271342 scopus 로고
    • On the validation of the Sharp-Wheeler bubble merger model from experimental and computational data
    • J. Glimm and X.-L. Li, On the validation of the Sharp-Wheeler bubble merger model from experimental and computational data, Phys. Fluids 31, 2077-2085 (1988)
    • (1988) Phys. Fluids , vol.31 , pp. 2077-2085
    • Glimm, J.1    Li, X.-L.2
  • 38
    • 0000916239 scopus 로고
    • Quantitative theory of Richtmyer-Meshkov instability
    • J. Grove, R. Holmes, D. H. Sharp, Y. Yang, and Q. Zhang, Quantitative theory of Richtmyer-Meshkov instability, Phys. Rev. Lett 71(21), 3473-3476 (1993)
    • (1993) Phys. Rev. Lett , vol.71 , Issue.21 , pp. 3473-3476
    • Grove, J.1    Holmes, R.2    Sharp, D.H.3    Yang, Y.4    Zhang, Q.5
  • 39
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • W. K. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika 87, 97-109 (1970)
    • (1970) Biometrika , vol.87 , pp. 97-109
    • Hastings, W.K.1
  • 42
    • 0029387053 scopus 로고
    • Numerical investigation of Richtmyer-Meshkov instability using front tracking
    • R. L. Holmes, J. W. Grove, and D. H. Sharp, Numerical investigation of Richtmyer-Meshkov instability using front tracking, J. Fluid Mech. 301, 51-64 (1995)
    • (1995) J. Fluid Mech. , vol.301 , pp. 51-64
    • Holmes, R.L.1    Grove, J.W.2    Sharp, D.H.3
  • 48
    • 11744276507 scopus 로고
    • Nonlinear normal-mode initialization of numerical weather prediction models
    • J. Brackbill and B. Cohen, editors, Academic Press, New York
    • C. Leith, Nonlinear normal-mode initialization of numerical weather prediction models, in J. Brackbill and B. Cohen, editors, Multiple Time Scales, Academic Press, New York, 1985, pp. 59-71
    • (1985) Multiple Time Scales , pp. 59-71
    • Leith, C.1
  • 49
    • 0029752038 scopus 로고    scopus 로고
    • Medial axis analysis of void structure in three-dimensional tomographic images of porous media
    • W. B. Lindquist, S.-M. Lee, D. A. Coker, K. W. Jones, and P. Spanne, Medial axis analysis of void structure in three-dimensional tomographic images of porous media, J. Geophys. Res. 101B, 8297-8310 (1996)
    • (1996) J. Geophys. Res. , vol.101 B , pp. 8297-8310
    • Lindquist, W.B.1    Lee, S.-M.2    Coker, D.A.3    Jones, K.W.4    Spanne, P.5
  • 51
    • 0000930479 scopus 로고
    • Computing interface motion in compressible gas dynamics
    • R. Mulder, S. Osher, and J. A. Sethian, Computing interface motion in compressible gas dynamics, J. Comp. Phys. 100, 209-228 (1992)
    • (1992) J. Comp. Phys. , vol.100 , pp. 209-228
    • Mulder, R.1    Osher, S.2    Sethian, J.A.3
  • 52
    • 0004144737 scopus 로고    scopus 로고
    • Analysis and adaptive modeling of highly heterogeneous elastic structures
    • University of Texas at Austin
    • J. T. Oden and T. I. Zohdi, Analysis and adaptive modeling of highly heterogeneous elastic structures, Technical Report TICAM Report 96-56, University of Texas at Austin, 1996
    • (1996) Technical Report TICAM Report 96-56
    • Oden, J.T.1    Zohdi, T.I.2
  • 53
    • 0030757228 scopus 로고    scopus 로고
    • Markov chain Monte Carlo methods for conditioning a permeability field to pressure data
    • D. S. Oliver, L. B. Cunha, and A. C. Reynolds, Markov chain Monte Carlo methods for conditioning a permeability field to pressure data, Math. Geo. 29, 61-91 (1997)
    • (1997) Math. Geo. , vol.29 , pp. 61-91
    • Oliver, D.S.1    Cunha, L.B.2    Reynolds, A.C.3
  • 54
    • 11744308645 scopus 로고    scopus 로고
    • Instability of accelerated elastic metal plates
    • State Univ. of New York at Stony Brook
    • B. Plohr and D. Sharp, Instability of accelerated elastic metal plates, Report No. SUNYSB-AMS-97-13, State Univ. of New York at Stony Brook, 1997
    • (1997) Report No. SUNYSB-AMS-97-13
    • Plohr, B.1    Sharp, D.2
  • 56
    • 0001237337 scopus 로고    scopus 로고
    • Large and small scale structure in Rayleigh-Taylor mixing
    • Submitted
    • M. B. Schneider, G. Dimonte, and B. Remington, Large and small scale structure in Rayleigh-Taylor mixing, Phys. Rev. Lett., 1997, Submitted
    • Phys. Rev. Lett. , vol.1997
    • Schneider, M.B.1    Dimonte, G.2    Remington, B.3
  • 59
    • 0028134042 scopus 로고
    • Rayleigh-Taylor and shear driven mixing with an unstable thermal stratification
    • D. M. Snider and M. J. Andrews, Rayleigh-Taylor and shear driven mixing with an unstable thermal stratification, Phys. Fluids 6(10), 3324-3334 (1994)
    • (1994) Phys. Fluids , vol.6 , Issue.10 , pp. 3324-3334
    • Snider, D.M.1    Andrews, M.J.2
  • 61
    • 0002868773 scopus 로고    scopus 로고
    • Integrating multiphase production history in stochastic reservoir characterization
    • D. W. Vasco and A. Datta-Gupta, Integrating multiphase production history in stochastic reservoir characterization, SPE Formation and Evaluation 12, 149-156 (1997)
    • (1997) SPE Formation and Evaluation , vol.12 , pp. 149-156
    • Vasco, D.W.1    Datta-Gupta, A.2
  • 63
    • 0028154460 scopus 로고
    • Small amplitude theory of Richtmyer-Meshkov instability
    • Y. Yang, Q. Zhang, and D. H. Sharp, Small amplitude theory of Richtmyer-Meshkov instability, Phys. Fluids 6(5), 1856-1873 (1994)
    • (1994) Phys. Fluids , vol.6 , Issue.5 , pp. 1856-1873
    • Yang, Y.1    Zhang, Q.2    Sharp, D.H.3
  • 64
    • 0024705601 scopus 로고
    • Modeling turbulent mixing by Rayleigh-Taylor instability
    • D. L. Youngs, Modeling turbulent mixing by Rayleigh-Taylor instability, Physica D, 37, 270-287 (1989)
    • (1989) Physica D , vol.37 , pp. 270-287
    • Youngs, D.L.1
  • 65
    • 0001405554 scopus 로고
    • Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability
    • D. L. Youngs, Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability, Phys. Fluids A, 3, 1312-1319 (1991)
    • (1991) Phys. Fluids A , vol.3 , pp. 1312-1319
    • Youngs, D.L.1
  • 66
    • 0002639165 scopus 로고
    • Validation of the chaotic mixing renormalization group fixed point
    • Q. Zhang, Validation of the chaotic mixing renormalization group fixed point, Phys. Lett. A, 151, 18-22 (1990)
    • (1990) Phys. Lett. A , vol.151 , pp. 18-22
    • Zhang, Q.1
  • 68
    • 0009046202 scopus 로고    scopus 로고
    • Scaling laws for unstable interfaces driven by strong shocks in cylindrical geometry
    • Submitted
    • Q. Zhang and M. J. Graham, Scaling laws for unstable interfaces driven by strong shocks in cylindrical geometry, Physical Review Letters, 1997, Submitted
    • (1997) Physical Review Letters
    • Zhang, Q.1    Graham, M.J.2
  • 69
    • 0001329129 scopus 로고    scopus 로고
    • An analytical nonlinear theory of Richtmyer-Meshkov instability
    • Q. Zhang and S. Sohn, An analytical nonlinear theory of Richtmyer-Meshkov instability, Phys. Lett. A, 212, 149-155 (1996)
    • (1996) Phys. Lett. A , vol.212 , pp. 149-155
    • Zhang, Q.1    Sohn, S.2
  • 70
    • 0040094240 scopus 로고    scopus 로고
    • Padé approximation to an interfacial fluid mixing problem
    • Q. Zhang and S. Sohn, Padé approximation to an interfacial fluid mixing problem, Applied Mathematics Letters 10, 121-127 (1997)
    • (1997) Applied Mathematics Letters , vol.10 , pp. 121-127
    • Zhang, Q.1    Sohn, S.2
  • 71
    • 0030812145 scopus 로고    scopus 로고
    • Nonlinear solutions of unstable fluid mixing driven by shock waves
    • Accepted
    • Q. Zhang and S. Sohn, Nonlinear solutions of unstable fluid mixing driven by shock waves, Physics of Fluids, 1997, Accepted
    • (1997) Physics of Fluids
    • Zhang, Q.1    Sohn, S.2


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