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Volumn 14, Issue 4, 2009, Pages 579-587

A predictive pore-scale model for non-Darcy flow in porous media

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC MEDIA; FLOW OF WATER; LAMINAR FLOW; NONLINEAR EQUATIONS; POROUS MATERIALS; PREDICTIVE ANALYTICS;

EID: 76349124705     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/110838-PA     Document Type: Article
Times cited : (87)

References (51)
  • 2
    • 0242424159 scopus 로고    scopus 로고
    • Comparison of network generation techniques for unconsolidated porous media
    • Al-Raoush., R, Thompson, K., and Willson, C.S. 2003. Comparison of Network Generation Techniques for Unconsolidated Porous Media. Soil Sci. Soc. Am. J. 67 (6): 1687-1700. (Pubitemid 37417884)
    • (2003) Soil Science Society of America Journal , vol.67 , Issue.6 , pp. 1687-1700
    • Al-Raoush, R.1    Thompson, K.2    Willson, C.S.3
  • 3
    • 10844233126 scopus 로고    scopus 로고
    • Modeling the steady flow of yield-stress fluids in packed beds
    • DOI: 10.1002/aic.10234
    • Balhoff, M.T. and Thompson, K.E. 2004. Modeling the steady flow of yield-stress fluids in packed beds. AIChE J. 50 (12): 3034-3048. DOI: 10.1002/aic.10234.
    • (2004) AIChE J. , vol.50 , Issue.12 , pp. 3034-3048
    • Balhoff, M.T.1    Thompson, K.E.2
  • 4
    • 22044454438 scopus 로고    scopus 로고
    • Beyond beta factors: A complete model for darcy, forchheimer, and trans-forchheimer flow in porous media
    • Paper SPE 89325 presented at the 26-29 September. DOI: 10.2118/89325-MS
    • Barree, R.D. and Conway, M.W. 2004. Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and Trans-Forchheimer Flow in Porous Media. Paper SPE 89325 presented at the SPE Annual Technical Conference and Exhibition, Houston, 26-29 September. DOI: 10.2118/89325-MS.
    • (2004) SPE Annual Technical Conference and Exhibition
    • Barree, R.D.1    Conway, M.W.2
  • 5
    • 33751009190 scopus 로고    scopus 로고
    • Reply to discussion of "beyond beta factors: A complete model for darcy, forchheimer, and transforchheimer flow in porous media"
    • Barree, R.D. and M.W. Conway. 2005. Reply to Discussion of "Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and TransForchheimer Flow in Porous Media." J. Pet. Tech. 57 (8): 73-74.
    • (2005) J. Pet. Tech. , vol.57 , Issue.8 , pp. 73-74
    • Barree, R.D.1    Conway, M.W.2
  • 6
    • 0034353155 scopus 로고    scopus 로고
    • The hydraulic conductance of a capillary with a sinusoidally varying cross-section
    • DOI: 10.1029/1999GL010842.
    • Bernabé, Y. and Olson, J.F. 2000. The Hydraulic Conductance of a Capillary with a Sinusoidally Varying Cross-Section. Geophysical Research Letters 27 (2): 245-248. DOI: 10.1029/1999GL010842.
    • (2000) Geophysical Research Letters , vol.27 , Issue.2 , pp. 245-248
    • Bernabé, Y.1    Olson, J.F.2
  • 8
    • 0000182202 scopus 로고
    • The resistance of packing to fluid flow
    • Blake, F.C. 1922. The Resistance of Packing to Fluid Flow. Trans. Am. Inst. Chem. Engrs. 14: 415-421.
    • (1922) Trans. Am. Inst. Chem. Engrs. , vol.14 , pp. 415-421
    • Blake, F.C.1
  • 10
    • 0027561477 scopus 로고
    • Physically representative network models of transport in porous media
    • Bryant, S.L., Mellor, D.W., and Cade, C.A. 1993. Physically representative network models of transport in porous media. AIChE Journal 39 (3): 387-396. DOI: 10.1002/aic.690390303. (Pubitemid 272271)
    • (1993) AIChE Journal , vol.39 , Issue.3 , pp. 387-396
    • Bryant, S.L.1    Mellor, D.W.2    Cade, C.A.3
  • 11
    • 0035425104 scopus 로고    scopus 로고
    • Derivation of the forchheimer law via homogenization
    • DOI: 10.1023/A:1010749114251
    • Chen, Z., Lyons, S.L., and Qin, G. 2001. Derivation of the Forchheimer Law via Homogenization. Transport in Porous Media 44 (2): 325-335. DOI: 10.1023/A:1010749114251.
    • (2001) Transport in Porous Media , vol.44 , Issue.2 , pp. 325-335
    • Chen, Z.1    Lyons, S.L.2    Qin, G.3
  • 12
    • 0001064029 scopus 로고
    • Numerical modelling of nonlinear effects in laminar flow through a porous medium
    • DOI: 10.1017/S0022112088001375
    • Couland, O., Morel, P., and Caltagirone, J.P. 1988. Numerical modelling of nonlinear effects in laminar flow through a porous medium. J. Fluid Mech. 190: 393-407. DOI: 10.1017/S0022112088001375.
    • (1988) J. Fluid Mech. , vol.190 , pp. 393-407
    • Couland, O.1    Morel, P.2    Caltagirone, J.P.3
  • 13
    • 0022988319 scopus 로고
    • A continuum approach to high velocity flow in a porous medium
    • DOI: 10.1007/BF01036526
    • Cvetkovic, V.D. 1986. A continuum approach to high velocity flow in a porous medium. Transport in Porous Media 1 (1): 63-97. DOI: 10.1007/BF01036526.
    • (1986) Transport in Porous Media , vol.1 , Issue.1 , pp. 63-97
    • Cvetkovic, V.D.1
  • 14
    • 0018492591 scopus 로고
    • Flow through tubes with sinusoidal axial variations in diameter
    • DOI: 10.1002/aic.690250410
    • Deiber, J.A. and Schowalter, W.R. 1979. Flow through tubes with sinusoidal axial variations in diameter. AIChE J. 25 (4): 638-644. DOI: 10.1002/aic.690250410.
    • (1979) AIChE J. , vol.25 , Issue.4 , pp. 638-644
    • Deiber, J.A.1    Schowalter, W.R.2
  • 15
    • 0027067491 scopus 로고
    • Flow of newtonian fluids through sinusoidally constricted tubesnumerical and experimental results
    • Deiber, J.A., Peirotti, M.B., Bortolozzi, R.A., and Durelli, R.J. 1992. Flow of Newtonian Fluids Through Sinusoidally Constricted TubesNumerical and Experimental Results. Chemical Engineering Communications 117: 241-262.
    • (1992) Chemical Engineering Communications , vol.117 , pp. 241-262
    • Deiber, J.A.1    Peirotti, M.B.2    Bortolozzi, R.A.3    Durelli, R.J.4
  • 16
    • 0033959986 scopus 로고    scopus 로고
    • Development of a pore network simulation model to study nonaqueous phase liquid dissolution
    • DOI: 10.1029/1999WR900301
    • Dillard, L.A. and Blunt, M.J. 2000. Development of a Pore Network Simulation Model to Study Nonaqueous Phase Liquid Dissolution. Water Resour. Res. 36 (2): 439-454. DOI: 10.1029/1999WR900301.
    • (2000) Water Resour. Res. , vol.36 , Issue.2 , pp. 439-454
    • Dillard, L.A.1    Blunt, M.J.2
  • 17
    • 22044456743 scopus 로고
    • The influence of reynolds number upon the apparent permeability of spatially periodic arrays of cylinders
    • DOI: 10.1063/1.857691
    • Edwards, D.A., Shapiro, M., Bar-Yoseph, P., and Shapira, M. 1990. The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders. Phys. Fluids A. 2 (1): 45-55. DOI: 10.1063/1.857691.
    • (1990) Phys. Fluids A. , vol.2 , Issue.1 , pp. 45-55
    • Edwards, D.A.1    Shapiro, M.2    Bar-Yoseph, P.3    Shapira, M.4
  • 18
    • 0000889013 scopus 로고
    • Fluid flow through randomly packed columns and fluidized beds
    • DOI: 10.1021/ie50474a011
    • Ergun, S. and Oming, A.A. 1949. Fluid flow through Randomly Packed Columns and Fluidized Beds. Ind. Eng. Chem. 41 (6): 1179-1184. DOI: 10.1021/ie50474a011.
    • (1949) Ind. Eng. Chem. , vol.41 , Issue.6 , pp. 1179-1184
    • Ergun, S.1    Oming, A.A.2
  • 19
    • 84925484326 scopus 로고
    • Flow of simple fluids through porous materials
    • DOl: 10.1021/ ie50286a020
    • Fancher, G.H. and Lewis, J.A. 1933. Flow of Simple Fluids Through Porous Materials. Ind. Eng. Chem. 25 (10): 1139-1147. DOl: 10.1021/ ie50286a020.
    • (1933) Ind. Eng. Chem. , vol.25 , Issue.10 , pp. 1139-1147
    • Fancher, G.H.1    Lewis, J.A.2
  • 20
    • 0004237494 scopus 로고
    • third edition, 54. Leipzig: Druck und Verlag Von B.G. Teubner
    • Forchheimer, P. 1930. Hydraulik, third edition, 54. Leipzig: Druck und Verlag Von B.G. Teubner.
    • (1930) Hydraulik
    • Forchheimer, P.1
  • 23
    • 0016114558 scopus 로고
    • Estimating the coefficient of inertial resistance in fluid flow through porous media
    • SPE-4706-PA. DOI: 10.2118/4706-PA
    • Geertsma, J. 1974. Estimating the Coefficient of Inertial Resistance in Fluid Flow Through Porous Media. SPE J. 14 (5): 445-450. SPE-4706-PA. DOI: 10.2118/4706-PA.
    • (1974) SPE J. , vol.14 , Issue.5 , pp. 445-450
    • Geertsma, J.1
  • 24
    • 0023568803 scopus 로고
    • High velocity flow in porous media
    • DOI: 10.1007/ BF00192152
    • Hassanizadeh, S.M. and Gray, W.G. 1987. High velocity flow in porous media. Transport in Porous Media 2 (6): 521-531. DOI: 10.1007/ BF00192152.
    • (1987) Transport in Porous Media , vol.2 , Issue.6 , pp. 521-531
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 25
    • 0035842090 scopus 로고    scopus 로고
    • The first effects of fluid inertia on flows in ordered and random arrays of spheres
    • Hill, R.J., Koch, D.L., and Ladd, A.J.C. 2001. The first effects on fluid inertia on flows in ordered and random arrays of spheres. J. Fluid Mech. 448: 213-241. DOI: 10.1017/S0022112001005948. (Pubitemid 33087443)
    • (2001) Journal of Fluid Mechanics , vol.448 , pp. 213-241
    • Hill, R.J.1    Koch, D.L.2    Ladd, A.J.C.3
  • 26
    • 42549148857 scopus 로고    scopus 로고
    • Applicability of the forchheimer equation for non-darcy flow in porous media
    • SPE102715-PA. DOI: 10.2118/102715-PA
    • Huang, H. and Ayoub, J. 2008. Applicability of the Forchheimer Equation for Non-Darcy Flow in Porous Media. SPE J. 13 (1): 112-122. SPE102715-PA. DOI: 10.2118/102715-PA.
    • (2008) SPE J. , vol.13 , Issue.1 , pp. 112-122
    • Huang, H.1    Ayoub, J.2
  • 28
    • 0022902906 scopus 로고
    • Flow in periodically constricted tubes: Transition to inertial and nonsteady flows
    • DOI: 10.1016/0009-2509(86)80034-3
    • Lahbabi, A.M. and Chang, H.-C. 1986. Flow in periodically constricted tubes: Transition to inertial and nonsteady flows. Chem. Eng. Sci. 41 (10): 2487-2505. DOI: 10.1016/0009-2509(86)80034-3.
    • (1986) Chem. Eng. Sci. , vol.41 , Issue.10 , pp. 2487-2505
    • Lahbabi, A.M.1    Chang, H.-C.2
  • 29
    • 4444249956 scopus 로고    scopus 로고
    • A Pore network model for the calculation of non-darcy flow coefficients in fluid flow through porous media
    • DOI: 10.1080/00986440490464200
    • Lao, H-W., Neeman, H.J., and Papavassilou, D.V. 2004. A Pore Network Model for the Calculation of Non-Darcy Flow Coefficients in Fluid Flow through Porous Media. Chem. Eng. Comm. 191 (10): 1285-1322. DOI: 10.1080/ 00986440490464200.
    • (2004) Chem. Eng. Comm. , vol.191 , Issue.10 , pp. 1285-1322
    • Lao, H.-W.1    Neeman, H.J.2    Papavassilou, D.V.3
  • 30
    • 0023797537 scopus 로고
    • Numerical models and experiments on immiscible displacements in porous media
    • DOI: 10.1017/S0022112088000953
    • Leonormand, R., Touboul, E., and Zarcone, C. 1988. Numerical models and experiments on immiscible displacements in porous media. J. Fluid Mech. 189: 165-187. DOI: 10.1017/S0022112088000953.
    • (1988) J. Fluid Mech. , vol.189 , pp. 165-187
    • Leonormand, R.1    Touboul, E.2    Zarcone, C.3
  • 32
    • 0029522050 scopus 로고
    • Correlation of the non- Darcy flow coefficient
    • Liu, X., Civan, F., and Evans, R.D. 1995. Correlation of the non- Darcy flow coefficient. J. Can. Pet. Tech. 34 (10): 50-53.
    • (1995) J. Can. Pet. Tech. , vol.34 , Issue.10 , pp. 50-53
    • Liu, X.1    Civan, F.2    Evans, R.D.3
  • 33
    • 0042168730 scopus 로고    scopus 로고
    • Predictive network modeling of single-phase non-Newtonian flow in porous media
    • DOI: 10.1016/S00219797(03)00310-2
    • Lopez, X., Valvatne, P.H., and Blunt, M.J. 2003. Predictive network modeling of single-phase non-Newtonian flow in porous media. Journal of Colloid and Interface Science 264 (1): 256-265. DOI: 10.1016/S00219797(03)00310-2.
    • (2003) Journal of Colloid and Interface Science , vol.264 , Issue.1 , pp. 256-265
    • Lopez, X.1    Valvatne, P.H.2    Blunt, M.J.3
  • 34
    • 33846320084 scopus 로고    scopus 로고
    • Network modeling of flow in a packed bed
    • DOI: 10.1002/aic.11047
    • Martins, A.A., Laranjeira, P.E., Lopes, J.C.B., and Dias, M.M. 2007. Network modeling of flow in a packed bed. AIChE J. 53 (1): 91-107. DOI: 10.1002/aic.11047.
    • (2007) AIChE J. , vol.53 , Issue.1 , pp. 91-107
    • Martins, A.A.1    Laranjeira, P.E.2    Lopes, J.C.B.3    Dias, M.M.4
  • 35
    • 0034274964 scopus 로고    scopus 로고
    • Derivation of a nonlinear filtration law including the inertia effects via homogenization
    • DOI 10.1016/S0362-546X(98)00346-0
    • Marušić-Paloka, E. and Mikelić, A. 2000. The derivation of a nonlinear filtration law including the inertia effects via homogenization. Nonlinear Analysis 42 (1): 97-137. DOI: 10.1016/S0362-546X(98) 00346-0. (Pubitemid 30895293)
    • (2000) Nonlinear Analysis, Theory, Methods and Applications , vol.42 , Issue.1 , pp. 97-137
    • Marusic-Paloka, E.1    Mikelic, A.2
  • 36
    • 0026359762 scopus 로고
    • The effect of the weak inertia on flow through a porous medium
    • DOI: 10.1017/ S0022112091001258.
    • Mei, J.C. and Auriault, J.-L. 1991. The effect of the weak inertia on flow through a porous medium. J. Fluid Mech. 222:647-663. DOI: 10.1017/ S0022112091001258.
    • (1991) J. Fluid Mech. , vol.222 , Issue.647-663
    • Mei, J.C.1    Auriault, J.-L.2
  • 37
    • 33847017095 scopus 로고
    • Investigation of the hydraulics of flow near recharge wells
    • University of California Berkeley, Berkeley, California
    • Mobasheri, F. and Todd, D.K. 1963. Investigation of the hydraulics of flow near recharge wells. Water Resources Center Contribution No. 72, University of California Berkeley, Berkeley, California.
    • (1963) Water Resources Center Contribution , vol.72
    • Mobasheri, F.1    Todd, D.K.2
  • 39
    • 0000299373 scopus 로고
    • Nonlinear flow in porous media
    • DOI: 10.1103/PhysRevE.58.4776
    • Rojas, S. and Koplik, J. 1988. Nonlinear flow in porous media. Physical Review E 58 (4): 4776-4782. DOI: 10.1103/PhysRevE.58.4776.
    • (1988) Physical Review E , vol.58 , Issue.4 , pp. 4776-4782
    • Rojas, S.1    Koplik, J.2
  • 40
    • 0026836320 scopus 로고
    • On the derivation of the Forchheimer equation by means of the averaging theorem
    • Ruth, D. and Ma, H. 1992. On the derivation of the Forchheimer equation by means of the averaging theorem. Transport in Porous Media 7 (3): 255-264. DOI: 10.1007/BF01063962. (Pubitemid 23568602)
    • (1992) Transport in Porous Media , vol.7 , Issue.3 , pp. 255-264
    • Ruth, D.1    Ma, H.2
  • 41
    • 0027693114 scopus 로고
    • The microscopic analysis of high Forchheimer number flow in porous media
    • DOI: 10.1007/BF00654407
    • Ruth, D.W. and Ma, H. 1993. The microscopic analysis of high Forchheimer number flow in porous media. Transport in Porous Media 13 (2): 139-160. DOI: 10.1007/BF00654407.
    • (1993) Transport in Porous Media , vol.13 , Issue.2 , pp. 139-160
    • Ruth, D.W.1    Ma, H.2
  • 42
    • 0000815392 scopus 로고
    • The effect of morphological disorder on hydrodynamic dispersion in flow through porous media
    • DOI: 10.1088/0305-4470/21/19/019
    • Sahimi, M. and Imdakm, A.O. 1988. The effect of morphological disorder on hydrodynamic dispersion in flow through porous media. J. Phys. A: Math. Gen. 21: 3833-3870. DOI: 10.1088/0305-4470/21/19/019.
    • (1988) J. Phys. A: Math. Gen. , vol.21 , pp. 3833-3870
    • Sahimi, M.1    Imdakm, A.O.2
  • 43
    • 0032647659 scopus 로고    scopus 로고
    • New insights on steady, non-linear flow in porous media
    • DOI: 10.1016/S0997-7546(99)80010-7
    • Skjetne, E. and Auriault, J.L. 1999. New insights on steady, non-linear flow in porous media. Eur. J. Mech. B/Fluids 18 (1): 131-145. DOI: 10.1016/S0997-7546(99)80010-7.
    • (1999) Eur. J. Mech. B/Fluids , vol.18 , Issue.1 , pp. 131-145
    • Skjetne, E.1    Auriault, J.L.2
  • 44
    • 0035368403 scopus 로고    scopus 로고
    • Physics of the cigarette filter: Fluid flow through structures of randomly-packed obstacles
    • DOI: 10.1016/S0378-4371(01)00140-6
    • Stanley, H.E. and Andrade, J.S. Jr. 2001. Physics of the cigarette filter: fluid flow through structures of randomly-packed obstacles. Physica A: Statistical Mechanics and its Applications 295 (1-2): 17-30. DOI: 10.1016/S0378-4371(01)00140-6.
    • (2001) Physica A: Statistical Mechanics and Its Applications , vol.295 , Issue.1-2 , pp. 17-30
    • Stanley, H.E.1    Andrade Jr., J.S.2
  • 46
    • 48849102432 scopus 로고    scopus 로고
    • Application of a new grain-based reconstruction algorithm to microtomography images for quantitative characterization and flow modeling
    • SPE-95887-PA. DOI: 10.2118/95887-PA
    • Thompson, K.E., Willson, C.S., White, C.D., Nyman, S., Bhattacharya, J., and Reed, A.H. 2005. Application of a New Grain-Based Reconstruction Algorithm to Microtomography Images for Quantitative Characterization and flow Modeling. SPE J. 13 (2): 164-176. SPE-95887-PA. DOI: 10.2118/95887-PA.
    • (2005) SPE J. , vol.13 , Issue.2 , pp. 164-176
    • Thompson, K.E.1    Willson, C.S.2    White, C.D.3    Nyman, S.4    Bhattacharya, J.5    Reed, A.H.6
  • 47
    • 0021521983 scopus 로고
    • Collocation solution of creeping newtonian flow through sinusoidal tubes: A correction
    • DOI: 10.1002/aic.690300628
    • Tilton, J.N. and Payatakes, A.C. 1984. Collocation solution of creeping newtonian flow through sinusoidal tubes: A correction. AIChE J. 30 (6): 1016-1021. DOI: 10.1002/aic.690300628.
    • (1984) AIChE J. , vol.30 , Issue.6 , pp. 1016-1021
    • Tilton, J.N.1    Payatakes, A.C.2
  • 48
    • 23644448280 scopus 로고    scopus 로고
    • Discussion of SPE 89325, "Beyond beta factors: A complete model for darcy, forchheimer, and trans-forchheimer flow in porous media"
    • van Batenburg, D. and Milton-Tayler, D. 2005. Discussion of SPE 89325, "Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and Trans-Forchheimer Flow in Porous Media." J. Pet. Tech. 57 (8): 72-73.
    • (2005) J. Pet. Tech. , vol.57 , Issue.8 , pp. 72-73
    • Van Batenburg, D.1    Milton-Tayler, D.2
  • 49
    • 0033150315 scopus 로고    scopus 로고
    • Non-Darcy flow through anisotropic porous media
    • DOI 10.1016/S0009-2509(99)00018-4, PII S0009250999000184
    • Wang, X., Thauvin, F., and Mohanty, K.K. 1999. Non-Darcy flow through anisotropic porous media. Chem. Eng. Sci. 54 (12): 1859-1869. DOI: 10.1016/S0009-2509(99)00018-4. (Pubitemid 29370674)
    • (1999) Chemical Engineering Science , vol.54 , Issue.12 , pp. 1859-1869
    • Wang, X.1    Thauvin, F.2    Mohanty, K.K.3
  • 50
    • 0030267168 scopus 로고    scopus 로고
    • The Forchheimer equation: A theoretical development
    • DOI: 10.1007/ BF00141261
    • Whitaker, S. 1996. The Forchheimer equation: A theoretical development. Transport in Porous Media 25 (1): 27-61. DOI: 10.1007/ BF00141261.
    • (1996) Transport in Porous Media , vol.25 , Issue.1 , pp. 27-61
    • Whitaker, S.1
  • 51


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