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Volumn 47, Issue 8, 2001, Pages 1721-1730

Simple stochastic model of spontaneous imbibition in Hele-Shaw cells

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; ERROR ANALYSIS; WATER;

EID: 0035418373     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690470804     Document Type: Article
Times cited : (3)

References (58)
  • 3
    • 0018482168 scopus 로고
    • Generalized Fokker-Planck equation for a nonlinear Brownian motion with fluctuations in the control parameters
    • Arecchi, F. T., and A. Politti, "Generalized Fokker-Planck Equation for a Nonlinear Brownian Motion with Fluctuations in the Control Parameters," Opt. Comm., 29, 361 (1979).
    • (1979) Opt. Comm. , vol.29 , pp. 361
    • Arecchi, F.T.1    Politti, A.2
  • 4
    • 0002570939 scopus 로고
    • A model for the mechanism of oil recovery from the porous matrix due to water invasion in fractured reservoirs
    • Aronofsky, J. S., L. Massé, and S. G. Natanson, "A Model for the Mechanism of Oil Recovery from the Porous Matrix Due to Water Invasion in Fractured Reservoirs," Trans. AIME, 213, 17 (1958).
    • (1958) Trans. AIME , vol.213 , pp. 17
    • Aronofsky, J.S.1    Massé, L.2    Natanson, S.G.3
  • 6
    • 0002959411 scopus 로고
    • Diffusion and hopping conductivity in disordered one-dimensional lattice systems
    • Bernasconi, J., W. R. Schneider, and W. Wyss, "Diffusion and Hopping Conductivity in Disordered One-Dimensional Lattice Systems," Z. Phys. B, 37, 175 (1980).
    • (1980) Z. Phys. B , vol.37 , pp. 175
    • Bernasconi, J.1    Schneider, W.R.2    Wyss, W.3
  • 7
    • 0003892458 scopus 로고
    • Reservoir rock wettability - Its significance and evaluation
    • Bobek, J. E., C. C. Mattax, and M. O. Denekas, "Reservoir Rock Wettability - Its Significance and Evaluation," Trans. AIME, 213, 155 (1958).
    • (1958) Trans. AIME , vol.213 , pp. 155
    • Bobek, J.E.1    Mattax, C.C.2    Denekas, M.O.3
  • 8
    • 0025471878 scopus 로고
    • Experimental study of cocurrent and countercurrent flows in natural porous media
    • Aug.
    • Bourbiaux, B. J., and F. J. Kalaydjian, "Experimental Study of Cocurrent and Countercurrent Flows in Natural Porous Media," SPE Reservoir Eng., 4, 361 (Aug., 1990).
    • (1990) SPE Reservoir Eng. , vol.4 , pp. 361
    • Bourbiaux, B.J.1    Kalaydjian, F.J.2
  • 9
    • 0002302866 scopus 로고
    • Water-imbibition displacement: Can it release reluctant spraberry oil?
    • Nov.
    • Brownscombe, E. R., and A. B. Dyes, "Water-Imbibition Displacement: Can it Release Reluctant Spraberry Oil?," Oil and Gas J., 264 (Nov. 1952).
    • (1952) Oil and Gas J. , pp. 264
    • Brownscombe, E.R.1    Dyes, A.B.2
  • 11
    • 0003758459 scopus 로고
    • Nonlinear stochastic processes driven by colored noise. Application to dye-laser statistics
    • Dixit, S. N., and P. S. Shani, "Nonlinear Stochastic Processes Driven by Colored Noise. Application to Dye-Laser Statistics," Phys. Rev. Lett., 50, 1273 (1983).
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1273
    • Dixit, S.N.1    Shani, P.S.2
  • 12
    • 0032467258 scopus 로고    scopus 로고
    • Recent contributions of statistical mechanics in chemical engineering
    • Deem, M. W., "Recent Contributions of Statistical Mechanics in Chemical Engineering," AIChE J. 44, 2569 (1998).
    • (1998) AIChE J. , vol.44 , pp. 2569
    • Deem, M.W.1
  • 13
    • 0030527726 scopus 로고    scopus 로고
    • Numerical and analytical studies of nonequilibrium fluctuation-induced transport processes
    • Elston, T. C., and C. R. Doering, "Numerical and Analytical Studies of Nonequilibrium Fluctuation-Induced Transport Processes," J. Stat. Phys., 83, 359 (1996).
    • (1996) J. Stat. Phys. , vol.83 , pp. 359
    • Elston, T.C.1    Doering, C.R.2
  • 14
    • 0025686472 scopus 로고
    • Stochastic modelling of chemical process systems
    • Fox, R. O., and L. T. Tan, "Stochastic Modelling of Chemical Process Systems," Chem. Eng. Education, 24, 56 (1990a).
    • (1990) Chem. Eng. Education , vol.24 , pp. 56
    • Fox, R.O.1    Tan, L.T.2
  • 15
    • 0003751757 scopus 로고
    • Stochastic modelling of chemical process systems
    • Fox, R. O., and L. T. Tan, "Stochastic Modelling of Chemical Process Systems," Chem. Eng. Education, 24, 88 (1990b).
    • (1990) Chem. Eng. Education , vol.24 , pp. 88
    • Fox, R.O.1    Tan, L.T.2
  • 16
    • 0025686472 scopus 로고
    • Stochastic modelling of chemical process systems
    • Fox, R. O., and L. T. Tan, "Stochastic Modelling of Chemical Process Systems," Chem. Eng. Education, 24, 164 (1990c).
    • (1990) Chem. Eng. Education , vol.24 , pp. 164
    • Fox, R.O.1    Tan, L.T.2
  • 18
    • 0003749331 scopus 로고
    • External noise and the onset of turbulent convection
    • Gollub, J. P., and J. F. Steinman, "External Noise and the Onset of Turbulent Convection," Phys. Rev. Lett., 45, 551 (1980).
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 551
    • Gollub, J.P.1    Steinman, J.F.2
  • 19
    • 84872499260 scopus 로고    scopus 로고
    • Capillary end effects in coreflood calculations
    • Tech. Paper SCA 9634
    • Huang, D. D., and M. M. Honarpour, "Capillary End Effects in Coreflood Calculations," Proc. SCA Meeting, Tech. Paper SCA 9634 (1996).
    • (1996) Proc. SCA Meeting
    • Huang, D.D.1    Honarpour, M.M.2
  • 20
    • 0000343978 scopus 로고
    • Diffusion in regular and disordered lattices
    • Haus, J. W., and K. W. Kehr, "Diffusion in Regular and Disordered Lattices," Phys. Rep., 150, 263 (1987).
    • (1987) Phys. Rep. , vol.150 , pp. 263
    • Haus, J.W.1    Kehr, K.W.2
  • 21
    • 0003928681 scopus 로고
    • Estudio experimental del flujo a cocorriente y a contracorriente en procesos de imbibición espontánea utilizando celdas porosas bidimensionales
    • Hayashi, J. A., and A. Soria, "Estudio Experimental del Flujo a Cocorriente y a Contracorriente en Procesos de Imbibición Espontánea Utilizando Celdas Porosas Bidimensionales," Avances en Ingeniería Química, 5, 272 (1995).
    • (1995) Avances en Ingeniería Química , vol.5 , pp. 272
    • Hayashi, J.A.1    Soria, A.2
  • 22
    • 85054415431 scopus 로고
    • Visual investigation of imbibition processess
    • Tech. Paper SPE 23745, (Apr.)
    • Hayashi, J. A., and C. Pérez-Rosales, "Visual Investigation of Imbibition Processess," Proc. 2nd LAPEC, Tech. Paper SPE 23745, 353 (Apr., 1992).
    • (1992) Proc. 2nd LAPEC , pp. 353
    • Hayashi, J.A.1    Pérez-Rosales, C.2
  • 24
    • 0003891341 scopus 로고    scopus 로고
    • Spontaneous imbibition processes in Hele-Shaw cells
    • in press
    • Hayashi, J. A., and A. Soria, "Spontaneous Imbibition Processes in Hele-Shaw Cells," AIChE J., in press (2000).
    • (2000) AIChE J.
    • Hayashi, J.A.1    Soria, A.2
  • 26
    • 0003756367 scopus 로고
    • Effets de la géometrie des pores et de la mouillabilité sur le desplacement diphasique a contre-currant en capillarie et milleu poreaux
    • in French
    • Kalaydjian, F., and B. Legait, "Effets de la Géometrie des Pores et de la Mouillabilité sur le Desplacement Diphasique a Contre-Currant en Capillarie et Milleu Poreaux," (in French), Revue Phys. Appl., 23, 1071 (1988).
    • (1988) Revue Phys. Appl. , vol.23 , pp. 1071
    • Kalaydjian, F.1    Legait, B.2
  • 27
    • 0017275045 scopus 로고
    • Numerical simulation of water-oil flow in naturally fractured reservoirs
    • Dec.
    • Kazemi, H., L. S. Merril, K. L. Porterfield, and P. R. Zeman, "Numerical Simulation of Water-Oil Flow in Naturally Fractured Reservoirs," Soc. Pet. Eng. J., 16, 317 (Dec., 1976).
    • (1976) Soc. Pet. Eng. J. , vol.16 , pp. 317
    • Kazemi, H.1    Merril, L.S.2    Porterfield, K.L.3    Zeman, P.R.4
  • 28
    • 78650618020 scopus 로고
    • Oil production from fractured reservoirs by water displacements
    • Tech. Paper SPE 5084 (October)
    • Kleppe, J., and R. A. Morse, "Oil Production from Fractured Reservoirs by Water Displacements," Proc. 49th Annual Fall Meeting, Tech. Paper SPE 5084 (October, 1974).
    • (1974) Proc. 49th Annual Fall Meeting
    • Kleppe, J.1    Morse, R.A.2
  • 29
    • 0001500098 scopus 로고
    • Linear waterflood behavior and end effects in water-wet porous media
    • Kyte, J. R., and L. A. Rapoport, "Linear Waterflood Behavior and End Effects in Water-Wet Porous Media," Trans. AIME, 213, 423 (1958).
    • (1958) Trans. AIME , vol.213 , pp. 423
    • Kyte, J.R.1    Rapoport, L.A.2
  • 31
    • 0017982250 scopus 로고
    • Gravity and capillary effects on imbibition porous media
    • June
    • Lefebvre, du Prey, "Gravity and Capillary Effects on Imbibition Porous Media," Soc. Pet. Eng. J., 18, 195 (June, 1978).
    • (1978) Soc. Pet. Eng. J. , vol.18 , pp. 195
    • Du Lefebvre, P.1
  • 32
    • 0001192714 scopus 로고
    • Capillary behavior in porous solids
    • Leverett, M. C. "Capillary Behavior in Porous Solids," Trans. AIME, 142, 152 (1941).
    • (1941) Trans. AIME , vol.142 , pp. 152
    • Leverett, M.C.1
  • 34
    • 0001587617 scopus 로고
    • Imbibition oil recovery from fractured water-drive reservoir
    • June
    • Mattax, C. C., and J. R. Kyte, "Imbibition Oil Recovery from Fractured Water-Drive Reservoir," Soc. Pet. Eng. J., 2, 177 (June 1962).
    • (1962) Soc. Pet. Eng. J. , vol.2 , pp. 177
    • Mattax, C.C.1    Kyte, J.R.2
  • 39
    • 0000667247 scopus 로고
    • Functionals and the random-force method in turbulence theory
    • Novikov, E. A., "Functionals and the Random-Force Method in Turbulence Theory,"Sov. Phys. JETP, 20, 1290 (1965).
    • (1965) Sov. Phys. JETP , vol.20 , pp. 1290
    • Novikov, E.A.1
  • 42
    • 0003889506 scopus 로고
    • Descripción estocástica de procesos de transporte a través de medios porosos
    • in Spanish
    • Rodríguez, R. F., J. Cruz, and C. Pérez, "Descripción Estocástica de Procesos de Transporte a través de Medios Porosos," (in Spanish), Avances en Ingeniería Química, 4, 99 (1994).
    • (1994) Avances en Ingeniería Química , vol.4 , pp. 99
    • Rodríguez, R.F.1    Cruz, J.2    Pérez, C.3
  • 43
    • 0041596796 scopus 로고    scopus 로고
    • Parametric noise induced birefringence in nematic liquid crystals
    • Rodríguez, R. F., J. A. Olivares, and R. Díaz-Uribe, "Parametric Noise Induced Birefringence in Nematic Liquid Crystals," Rev. Mex. Fís., 43, 33 (1997).
    • (1997) Rev. Mex. Fís. , vol.43 , pp. 33
    • Rodríguez, R.F.1    Olivares, J.A.2    Díaz-Uribe, R.3
  • 46
    • 0000424399 scopus 로고
    • Theory of external two-state markov noise in the presence of internal fluctuations
    • Sancho, J. M., and M. S. San Miguel, "Theory of External Two-State Markov Noise in the Presence of Internal Fluctuations," J. Stat. Phys., 37, 151 (1984).
    • (1984) J. Stat. Phys. , vol.37 , pp. 151
    • Sancho, J.M.1    San Miguel, M.S.2
  • 48
    • 0141508296 scopus 로고
    • Anomalous transit-time dispersion in amorphous solids
    • Scher, H., and E. W. Montroll, "Anomalous Transit-Time Dispersion in Amorphous Solids," Phys. Rev. B, 12, 2455 (1975).
    • (1975) Phys. Rev. B , vol.12 , pp. 2455
    • Scher, H.1    Montroll, E.W.2
  • 49
    • 0001718283 scopus 로고
    • Formulae for differentiation and their use for solving stochastic equations
    • Shapiro, V. E., and W. M. Lomginov, "Formulae for Differentiation and Their Use for Solving Stochastic Equations," Physica A, 91, 563 (1978).
    • (1978) Physica A , vol.91 , pp. 563
    • Shapiro, V.E.1    Lomginov, W.M.2
  • 50
    • 0021974072 scopus 로고
    • A stochastic approach to the study of chemically reacting systems: I. The role of internal fluctuations
    • Tambe, S. S., B. D. Kulkarni, and L. K. Doraiswamy, "A Stochastic Approach to the Study of Chemically Reacting Systems: I. The Role of Internal Fluctuations," Chem. Eng. Sci., 40, 1943 (1985a).
    • (1985) Chem. Eng. Sci. , vol.40 , pp. 1943
    • Tambe, S.S.1    Kulkarni, B.D.2    Doraiswamy, L.K.3
  • 51
    • 0021973024 scopus 로고
    • A stochastic approach to the study of chemically reacting systems: II. Effect of external fluctuations
    • Tambe, S. S., V. Ravikumar, B. D. Kulkarni, and L. K. Doraiswamy, "A Stochastic Approach to the Study of Chemically Reacting Systems: II. Effect of External Fluctuations," Chem. Eng. Sci., 40, 1951 (1985b).
    • (1985) Chem. Eng. Sci. , vol.40 , pp. 1951
    • Tambe, S.S.1    Ravikumar, V.2    Kulkarni, B.D.3    Doraiswamy, L.K.4
  • 52
    • 0021976682 scopus 로고
    • A stochastic approach to the study of chemically reacting systems: III. Effect of fluctuations on critical slowing down
    • Tambe, S. S., B. D. Kulkarni, and L. K. Doraiswamy, "A Stochastic Approach to the Study of Chemically Reacting Systems: III. Effect of Fluctuations on Critical Slowing Down," Chem. Eng. Sci., 40, 1959 (1985c).
    • (1985) Chem. Eng. Sci. , vol.40 , pp. 1959
    • Tambe, S.S.1    Kulkarni, B.D.2    Doraiswamy, L.K.3
  • 53
    • 0022180744 scopus 로고
    • A stochastic approach to the study of chemically reacting systems: V. Estimation of mean passage time for reaching a threshold using the asymptotic theory of Fokker-Planck processes
    • Tambe, S. S., B. D. Kulkarni, and L. K. Doraiswamy, "A Stochastic Approach to the Study of Chemically Reacting Systems: V. Estimation of Mean Passage Time for Reaching a Threshold Using the Asymptotic Theory of Fokker-Planck Processes," Chem. Eng. Sci., 40, 2297 (1985d).
    • (1985) Chem. Eng. Sci. , vol.40 , pp. 2297
    • Tambe, S.S.1    Kulkarni, B.D.2    Doraiswamy, L.K.3
  • 54
    • 0034114310 scopus 로고    scopus 로고
    • Effective diffusivities of point-like molecules in isotropic porous media by Monte Carlo simulation
    • Trinh, T., P. Arce, and B. R. Locke, "Effective Diffusivities of Point-Like Molecules in Isotropic Porous Media by Monte Carlo Simulation," Transport in Porous Media, 38, 241 (2000).
    • (2000) Transport in Porous Media , vol.38 , pp. 241
    • Trinh, T.1    Arce, P.2    Locke, B.R.3
  • 58
    • 0030289931 scopus 로고    scopus 로고
    • Experimental verification of a modified scaling group for spontaneous imbibition
    • Nov.
    • Zhang, X., N. R. Morrow, and S. Ma, "Experimental Verification of a Modified Scaling Group for Spontaneous Imbibition," SPERE, 280 (Nov., 1996).
    • (1996) SPERE , pp. 280
    • Zhang, X.1    Morrow, N.R.2    Ma, S.3


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