메뉴 건너뛰기




Volumn 70, Issue 1, 2007, Pages 43-62

The inverse problem of determining the filtration function and permeability reduction in flow of water with particles in porous media

Author keywords

Deep bed filtration; Formation damage; Inverse problem; Porous media; Suspension transport; System of convection reaction equations; Tikhonov regularization

Indexed keywords

EFFLUENTS; FLOW OF WATER; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; MECHANICAL PERMEABILITY; POROUS MATERIALS; PRESSURE DROP; SUSPENSIONS (FLUIDS); TRANSPORT PROPERTIES;

EID: 34548015229     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-006-9082-3     Document Type: Article
Times cited : (58)

References (49)
  • 1
    • 34548024346 scopus 로고    scopus 로고
    • Investigation into the injectivity decline due to produced water re-injection under fracturing conditions
    • Ph.D. Thesis, TU Delft, Netherlands
    • Al-Abduwani, F.A.H.: Investigation into the injectivity decline due to produced water re-injection under fracturing conditions. Ph.D. Thesis, TU Delft, Netherlands, (2005)
    • (2005)
    • Al-Abduwani, F.A.H.1
  • 4
    • 22344432589 scopus 로고    scopus 로고
    • Inverse problems for deep bed filtration in porous media
    • Ph.D. Thesis, IMPA. Brasil Available online at
    • Alvarez, A.C.: Inverse problems for deep bed filtration in porous media. Ph.D. Thesis, IMPA. Brasil, 2005. Available online at http://www.impa.br
    • (2005)
    • Alvarez, A.C.1
  • 5
    • 0035846501 scopus 로고    scopus 로고
    • Characterization of deep bed filtration system from laboratory pressure drop measurements
    • Bedrikovetsky P.G., Marchesin D., Shecaira F., Serra A.L. and Resende E. (2001). Characterization of deep bed filtration system from laboratory pressure drop measurements. J. Petrol. Sci. Eng. 64(3): 167-177
    • (2001) J. Petrol. Sci. Eng. , vol.64 , Issue.3 , pp. 167-177
    • Bedrikovetsky, P.G.1    Marchesin, D.2    Shecaira, F.3    Serra, A.L.4    Resende, E.5
  • 7
    • 0013391978 scopus 로고
    • Weakly closed nonlinear operators and parameter identification in parabolic equations by tikhonov regularization
    • Binder A., Heinz W.H., Groetsch C.W., Neubauer A. and Scherzer O. (1994). Weakly closed nonlinear operators and parameter identification in parabolic equations by tikhonov regularization. Appl. Anal. 55: 215-234
    • (1994) Appl. Anal. , vol.55 , pp. 215-234
    • Binder, A.1    Heinz, W.H.2    Groetsch, C.W.3    Neubauer, A.4    Scherzer, O.5
  • 8
    • 0034345420 scopus 로고    scopus 로고
    • Nonmonotone spectral projected gradient methods on convex sets
    • Birgin E.G., Martínez J.M. and Raydan M. (2000). Nonmonotone spectral projected gradient methods on convex sets. SIAM J. Optim. 10: 1196-1211
    • (2000) SIAM J. Optim. , vol.10 , pp. 1196-1211
    • Birgin, E.G.1    Martínez, J.M.2    Raydan, M.3
  • 9
    • 0037001430 scopus 로고    scopus 로고
    • Physical factors affecting the transport and fate of colloids in saturated porous media
    • Bradford S.A., Yates S.R., Bettahar M. and Simunek J. (2002). Physical factors affecting the transport and fate of colloids in saturated porous media. Water Resour. Res. 38(12): 1327
    • (2002) Water Resour. Res. , vol.38 , Issue.12 , pp. 1327
    • Bradford, S.A.1    Yates, S.R.2    Bettahar, M.3    Simunek, J.4
  • 10
    • 0011282591 scopus 로고
    • Output least square stability in elliptic system
    • Colonius A. and Kunisch K. (1989). Output least square stability in elliptic system. Appl. Math. Optim. 19: 33-63
    • (1989) Appl. Math. Optim. , vol.19 , pp. 33-63
    • Colonius, A.1    Kunisch, K.2
  • 11
    • 0030303188 scopus 로고    scopus 로고
    • Modeling colloid transport in unsaturated porous media and validation with laboratory column data
    • Corapcioglu M.Y. and Choi H. (1996). Modeling colloid transport in unsaturated porous media and validation with laboratory column data. Water Resour. Res. 32(12): 3437-3449
    • (1996) Water Resour. Res. , vol.32 , Issue.12 , pp. 3437-3449
    • Corapcioglu, M.Y.1    Choi, H.2
  • 12
    • 0015079567 scopus 로고
    • Numerical differentiation and regularization
    • Cullum J. (1971). Numerical differentiation and regularization. SIAM J. Numer. Anal. 8(2): 337-344
    • (1971) SIAM J. Numer. Anal. , vol.8 , Issue.2 , pp. 337-344
    • Cullum, J.1
  • 14
    • 0001840812 scopus 로고
    • Regularization methods for the stable solution on inverse problems
    • Engl H.W. (1993). Regularization methods for the stable solution on inverse problems. Surv. Math. Ind. 3: 71-143
    • (1993) Surv. Math. Ind. , vol.3 , pp. 71-143
    • Engl, H.W.1
  • 16
    • 0000064079 scopus 로고
    • On the maximization of a concave quadratic function with box constraints
    • Friedlander A. and Martinez J.M. (1994). On the maximization of a concave quadratic function with box constraints. SIAM J. Optim. 4: 177-192
    • (1994) SIAM J. Optim. , vol.4 , pp. 177-192
    • Friedlander, A.1    Martinez, J.M.2
  • 20
    • 0014793076 scopus 로고
    • Flow of suspensions through porous media-application to deep filtration
    • Herzig J.P., Leclerc D.M. and Goff P.Le. (1970). Flow of suspensions through porous media-application to deep filtration. Ind. Eng. Chem. 65(5): 8-35
    • (1970) Ind. Eng. Chem. , vol.65 , Issue.5 , pp. 8-35
    • Herzig, J.P.1    Leclerc, D.M.2    Goff, P.Le.3
  • 22
    • 0000822708 scopus 로고
    • Some notes on sand filtration
    • Iwasaki T. (1937). Some notes on sand filtration. J. Am. Water Works Assoc. 29(10): 1591-1602
    • (1937) J. Am. Water Works Assoc. , vol.29 , Issue.10 , pp. 1591-1602
    • Iwasaki, T.1
  • 23
    • 0000809317 scopus 로고
    • Calculation of relative permeability from displacement experiments
    • Johnson E.F., Bossler D.C. and Naumann V.O. (1959). Calculation of relative permeability from displacement experiments. J. Petr. Tech. 11: 61-63
    • (1959) J. Petr. Tech. , vol.11 , pp. 61-63
    • Johnson, E.F.1    Bossler, D.C.2    Naumann, V.O.3
  • 24
    • 0029276662 scopus 로고
    • Dynamics of colloid deposition in porous media: Blocking based on random sequential adsorption
    • Johnson P.R. and Elimelech M. (1995). Dynamics of colloid deposition in porous media: Blocking based on random sequential adsorption. Langmuir 11: 801-812
    • (1995) Langmuir , vol.11 , pp. 801-812
    • Johnson, P.R.1    Elimelech, M.2
  • 25
    • 33846381811 scopus 로고    scopus 로고
    • Statistical inverse problems: Discretization, model reduction and inverse crimes
    • (to appear)
    • Kaipio, J.P., Somersalo, E.: Statistical inverse problems: discretization, model reduction and inverse crimes. J. Comp. Appl. Math. (to appear) (2006)
    • (2006) J. Comp. Appl. Math.
    • Kaipio, J.P.1    Somersalo, E.2
  • 26
    • 0022027469 scopus 로고
    • Identification of parameters in distributed parameter system by regularization
    • Kravaris C. and Seinfeld J.H. (1985). Identification of parameters in distributed parameter system by regularization. SIAM J. Control Optim. 23(2): 217-241
    • (1985) SIAM J. Control Optim. , vol.23 , Issue.2 , pp. 217-241
    • Kravaris, C.1    Seinfeld, J.H.2
  • 31
    • 11644302591 scopus 로고    scopus 로고
    • Augmented lagrangians and sphere packing problems
    • Martinez J.M. (1998). Augmented lagrangians and sphere packing problems. Int. J. Comput. Math. 70: 75-86
    • (1998) Int. J. Comput. Math. , vol.70 , pp. 75-86
    • Martinez, J.M.1
  • 33
    • 0028586479 scopus 로고
    • A model for predicting injectivity decline in water injection wells
    • In: New Orleans. Society of Petroleum Engineers. SPE 28489
    • Pang, S., Sharma, M.M.: A model for predicting injectivity decline in water injection wells. In: 69th Annual Technical Conference and Exhibition. New Orleans. Society of Petroleum Engineers. SPE 28489 (1994)
    • (1994) 69th Annual Technical Conference and Exhibition
    • Pang, S.1    Sharma, M.M.2
  • 34
    • 84985726373 scopus 로고
    • Application of porous medium models to the study of deep bed fitration
    • December
    • Payatakes, A.S., Rajagopalan, R., Tien, C.: Application of porous medium models to the study of deep bed fitration. Can. J. Chem. Eng. 52, December (1974)
    • (1974) Can. J. Chem. Eng. , vol.52
    • Payatakes, A.S.1    Rajagopalan, R.2    Tien, C.3
  • 35
    • 0016949852 scopus 로고
    • Trajectory analysis of deep-bed filtration with the sphere-in-a-cell porous media model
    • Rajagopalan R. and Tien C. (1976). Trajectory analysis of deep-bed filtration with the sphere-in-a-cell porous media model. AIChe J. 22: 523-533
    • (1976) AIChe J. , vol.22 , pp. 523-533
    • Rajagopalan, R.1    Tien, C.2
  • 37
    • 0039221653 scopus 로고
    • On the asymptotic order of accuracy of tikhonov regularizations
    • Schock E. (1984). On the asymptotic order of accuracy of tikhonov regularizations. J. Optim. Theory Appl. 44: 95-104
    • (1984) J. Optim. Theory Appl. , vol.44 , pp. 95-104
    • Schock, E.1
  • 38
    • 34248538158 scopus 로고    scopus 로고
    • A stochastic model for filtration of particulate suspensions with incomplete pore plugging
    • Shapiro A.A., Bedrikovetsky P.G., Santos A. and Medvedev O.O. (2007). A stochastic model for filtration of particulate suspensions with incomplete pore plugging. J. Transp. Porous Media 67(1): 135-164
    • (2007) J. Transp. Porous Media , vol.67 , Issue.1 , pp. 135-164
    • Shapiro, A.A.1    Bedrikovetsky, P.G.2    Santos, A.3    Medvedev, O.O.4
  • 39
    • 0023436119 scopus 로고
    • Transport of particulate suspensions in porous media: Model formulation
    • Sharma M.M. and Yortsos Y.C. (1987). Transport of particulate suspensions in porous media: Model formulation. AIChe J. 33(10): 1636-1643
    • (1987) AIChe J. , vol.33 , Issue.10 , pp. 1636-1643
    • Sharma, M.M.1    Yortsos, Y.C.2
  • 41
    • 0029360204 scopus 로고
    • Flow of dilute, sub-micron emulsions in granular porous media: Effects of ph and ionic strength
    • Soma J. and Papadopoulos K.D. (1995). Flow of dilute, sub-micron emulsions in granular porous media: Effects of ph and ionic strength. J. Colloids Surf. Series A: Physicochem. Eng. Asp. 101: 51-61
    • (1995) J. Colloids Surf. Series A: Physicochem. Eng. Asp. , vol.101 , pp. 51-61
    • Soma, J.1    Papadopoulos, K.D.2
  • 42
    • 0035144988 scopus 로고    scopus 로고
    • Sensitivity analysis and parameter identifiability for colloid transport in geochemically hererogeneous porous media
    • Sun N., Sun N.Z., Elimelech M. and Ryan N. (2001). Sensitivity analysis and parameter identifiability for colloid transport in geochemically hererogeneous porous media. Water Resour. Res. 37(2): 209-222
    • (2001) Water Resour. Res. , vol.37 , Issue.2 , pp. 209-222
    • Sun, N.1    Sun, N.Z.2    Elimelech, M.3    Ryan, N.4
  • 43
    • 0019999145 scopus 로고
    • Generalized nonlinear inverse problem solved using the least squares criterion
    • Tarantola A. and Valette B. (1982). Generalized nonlinear inverse problem solved using the least squares criterion. Rev. Geophys. Space Phys. 20: 219-232
    • (1982) Rev. Geophys. Space Phys. , vol.20 , pp. 219-232
    • Tarantola, A.1    Valette, B.2
  • 45
    • 10444229589 scopus 로고    scopus 로고
    • Deviation from classical colloid filtration theory in the presence of repulsive DLVO interactions
    • Tufenkji N. and Elimelech M. (2004). Deviation from classical colloid filtration theory in the presence of repulsive DLVO interactions. Langmuir 20: 10818-10828
    • (2004) Langmuir , vol.20 , pp. 10818-10828
    • Tufenkji, N.1    Elimelech, M.2
  • 46
    • 0037308429 scopus 로고    scopus 로고
    • Interpreting deposition patterns of microbial particles in laboratory-scale column experiments
    • Tufenkji N., Redman J.A. and Elimelech M. (2003). Interpreting deposition patterns of microbial particles in laboratory-scale column experiments. Environ. Sci. Technol. 37: 616-623
    • (2003) Environ. Sci. Technol. , vol.37 , pp. 616-623
    • Tufenkji, N.1    Redman, J.A.2    Elimelech, M.3
  • 48
    • 0002099180 scopus 로고
    • A simplified method for computing oil recovery by gas or water drive
    • Welge H.J. (1952). A simplified method for computing oil recovery by gas or water drive. Trans. AIME 195: 91-98
    • (1952) Trans. AIME , vol.195 , pp. 91-98
    • Welge, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.