메뉴 건너뛰기




Volumn 258, Issue , 2014, Pages 374-385

Asymptotic model for deep bed filtration

Author keywords

Colloid; Deep bed filtration; Pore size distribution; Porous media; Size exclusion; Stochastic model

Indexed keywords

COLLOIDS; FILTRATION; FORECASTING; PORE SIZE; POROUS MATERIALS; STOCHASTIC MODELS;

EID: 84906060832     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2014.07.051     Document Type: Article
Times cited : (78)

References (53)
  • 2
    • 12344325595 scopus 로고    scopus 로고
    • Hydrodynamic aspects of particle clogging in porous media
    • Mays D.C., Hunt J.R. Hydrodynamic aspects of particle clogging in porous media. Environ. Sci. Technol. 2005, 39:577-584.
    • (2005) Environ. Sci. Technol. , vol.39 , pp. 577-584
    • Mays, D.C.1    Hunt, J.R.2
  • 3
    • 34548068308 scopus 로고    scopus 로고
    • Hydrodynamic and chemical factors in clogging by montmorillonite in porous media
    • Mays D.C., Hunt J.R. Hydrodynamic and chemical factors in clogging by montmorillonite in porous media. Environ. Sci. Technol. 2007, 41:5666-5671.
    • (2007) Environ. Sci. Technol. , vol.41 , pp. 5666-5671
    • Mays, D.C.1    Hunt, J.R.2
  • 5
    • 84895227347 scopus 로고    scopus 로고
    • Colloid and microbe migration in granular environments: A discussion of modelling methods
    • Springer, Berlin, Germany, F.H. Frimmel, F. von der Kammer, H.-C. Flemming (Eds.)
    • Tufenkji N. Colloid and microbe migration in granular environments: A discussion of modelling methods. Colloidal Transport in Porous Media 2007, 119-142. Springer, Berlin, Germany. F.H. Frimmel, F. von der Kammer, H.-C. Flemming (Eds.).
    • (2007) Colloidal Transport in Porous Media , pp. 119-142
    • Tufenkji, N.1
  • 6
    • 34848813862 scopus 로고    scopus 로고
    • Resolving the coupled effects of hydrodynamics and DLVO forces on colloid attachment in porous media
    • Torkzaban S., Bradford S.A., Walker S.L. Resolving the coupled effects of hydrodynamics and DLVO forces on colloid attachment in porous media. Langmuir 2007, 23:9652-9660.
    • (2007) Langmuir , vol.23 , pp. 9652-9660
    • Torkzaban, S.1    Bradford, S.A.2    Walker, S.L.3
  • 7
    • 77956264838 scopus 로고    scopus 로고
    • Deep-bed filtration model with multistage deposition kinetics
    • Gitis V., Rubinstein I., Livshits M., Ziskind G. Deep-bed filtration model with multistage deposition kinetics. Chem. Eng. J. 2010, 163:78-85.
    • (2010) Chem. Eng. J. , vol.163 , pp. 78-85
    • Gitis, V.1    Rubinstein, I.2    Livshits, M.3    Ziskind, G.4
  • 8
    • 77956648725 scopus 로고    scopus 로고
    • Dimensioning metallic iron beds for efficient contaminant removal
    • Noubactep C., Caré S. Dimensioning metallic iron beds for efficient contaminant removal. Chem. Eng. J. 2010, 163:454-460.
    • (2010) Chem. Eng. J. , vol.163 , pp. 454-460
    • Noubactep, C.1    Caré, S.2
  • 9
    • 80053933381 scopus 로고    scopus 로고
    • Fluorescent clays - similar transfer with sensitive detection
    • Gitis V., Dlugy C., Ziskind G., Sladkevich S., Lev O. Fluorescent clays - similar transfer with sensitive detection. Chem. Eng. J. 2011, 174:482-488.
    • (2011) Chem. Eng. J. , vol.174 , pp. 482-488
    • Gitis, V.1    Dlugy, C.2    Ziskind, G.3    Sladkevich, S.4    Lev, O.5
  • 10
    • 78650305498 scopus 로고    scopus 로고
    • A mathematical model for non-monotonic deposition profiles in deep bed filtration systems
    • Yuan H., Shapiro A.A. A mathematical model for non-monotonic deposition profiles in deep bed filtration systems. Chem. Eng. J. 2011, 166:105-115.
    • (2011) Chem. Eng. J. , vol.166 , pp. 105-115
    • Yuan, H.1    Shapiro, A.A.2
  • 11
    • 84866162825 scopus 로고    scopus 로고
    • Estimating filtration coefficients for straining from percolation and random walk theories
    • Yuan H., Shapiro A.A., You Z., Badalyan A. Estimating filtration coefficients for straining from percolation and random walk theories. Chem. Eng. J. 2012, 210:63-73.
    • (2012) Chem. Eng. J. , vol.210 , pp. 63-73
    • Yuan, H.1    Shapiro, A.A.2    You, Z.3    Badalyan, A.4
  • 12
    • 0014793076 scopus 로고
    • Flow of suspensions through porous media - application to deep filtration
    • Herzig J.P., Leclerc D.M., Legoff P. Flow of suspensions through porous media - application to deep filtration. Ind. Eng. Chem. 1970, 62:8-35.
    • (1970) Ind. Eng. Chem. , vol.62 , pp. 8-35
    • Herzig, J.P.1    Leclerc, D.M.2    Legoff, P.3
  • 14
    • 44949117566 scopus 로고    scopus 로고
    • Colloid transport and retention in unsaturated porous media: a review of interface-, collector-, and pore-scale processes and models
    • Bradford S.A., Torkzaban S. Colloid transport and retention in unsaturated porous media: a review of interface-, collector-, and pore-scale processes and models. Vadose Zone J. 2008, 7:667-681.
    • (2008) Vadose Zone J. , vol.7 , pp. 667-681
    • Bradford, S.A.1    Torkzaban, S.2
  • 15
    • 1242296426 scopus 로고    scopus 로고
    • Transport of colloids in saturated porous media: a pore-scale observation of the size exclusion effect and colloid acceleration
    • SBH111-SBH1111
    • Sirivithayapakorn S., Keller A. Transport of colloids in saturated porous media: a pore-scale observation of the size exclusion effect and colloid acceleration. Water Resour. Res. 2003, 39:SBH111-SBH1111.
    • (2003) Water Resour. Res. , vol.39
    • Sirivithayapakorn, S.1    Keller, A.2
  • 16
    • 33244485284 scopus 로고    scopus 로고
    • A stochastic model for particulate suspension flow in porous media
    • Santos A., Bedrikovetsky P. A stochastic model for particulate suspension flow in porous media. Transp. Porous Media 2006, 62:23-53.
    • (2006) Transp. Porous Media , vol.62 , pp. 23-53
    • Santos, A.1    Bedrikovetsky, P.2
  • 17
    • 0003811931 scopus 로고
    • Analytical solutions of the one-dimensional convective-dispersive solute transport equation
    • U.S. Dept. of Agriculture, Agricultural Research Service, Washington, D.C
    • M.T. van Genuchten, W.J. Alves, Analytical solutions of the one-dimensional convective-dispersive solute transport equation, U.S. Dept. of Agriculture, Agricultural Research Service, Washington, D.C., 1982.
    • (1982)
    • van Genuchten, M.T.1    Alves, W.J.2
  • 18
    • 79651474743 scopus 로고    scopus 로고
    • An analytical solution of the convection-dispersion-reaction equation for a finite region with a pulse boundary condition
    • Ziskind G., Shmueli H., Gitis V. An analytical solution of the convection-dispersion-reaction equation for a finite region with a pulse boundary condition. Chem. Eng. J. 2011, 167:403-408.
    • (2011) Chem. Eng. J. , vol.167 , pp. 403-408
    • Ziskind, G.1    Shmueli, H.2    Gitis, V.3
  • 19
    • 65249163653 scopus 로고    scopus 로고
    • Analytical solution of the advection-diffusion transport equation using a change-of-variable and integral transform technique
    • Pérez Guerrero J.S., Pimentel L.C.G., Skaggs T.H., Van Genuchten M.T. Analytical solution of the advection-diffusion transport equation using a change-of-variable and integral transform technique. Int. J. Heat Mass Transf. 2009, 52:3297-3304.
    • (2009) Int. J. Heat Mass Transf. , vol.52 , pp. 3297-3304
    • Pérez Guerrero, J.S.1    Pimentel, L.C.G.2    Skaggs, T.H.3    Van Genuchten, M.T.4
  • 20
    • 84875033514 scopus 로고    scopus 로고
    • Analytical solutions of the one-dimensional advection-dispersion solute transport equation subject to time-dependent boundary conditions
    • Pérez Guerrero J.S., Pontedeiro E.M., van Genuchten M.T., Skaggs T.H. Analytical solutions of the one-dimensional advection-dispersion solute transport equation subject to time-dependent boundary conditions. Chem. Eng. J. 2013, 221:487-491.
    • (2013) Chem. Eng. J. , vol.221 , pp. 487-491
    • Pérez Guerrero, J.S.1    Pontedeiro, E.M.2    van Genuchten, M.T.3    Skaggs, T.H.4
  • 21
    • 0023436119 scopus 로고
    • Transport of particulate suspensions in porous media: model formulation
    • Sharma M.M., Yortsos Y.C. Transport of particulate suspensions in porous media: model formulation. AIChE J. 1987, 33:1636-1643.
    • (1987) AIChE J. , vol.33 , pp. 1636-1643
    • Sharma, M.M.1    Yortsos, Y.C.2
  • 22
    • 0023436731 scopus 로고
    • Network model for deep bed filtration processes
    • Sharma M.M., Yortsos Y.C. Network model for deep bed filtration processes. AIChE J. 1987, 33:1644-1653.
    • (1987) AIChE J. , vol.33 , pp. 1644-1653
    • Sharma, M.M.1    Yortsos, Y.C.2
  • 23
    • 0023436120 scopus 로고
    • Fines migration in porous media
    • Sharma M.M., Yortsos Y.C. Fines migration in porous media. AIChE J. 1987, 33:1654-1662.
    • (1987) AIChE J. , vol.33 , pp. 1654-1662
    • Sharma, M.M.1    Yortsos, Y.C.2
  • 24
    • 55149092227 scopus 로고    scopus 로고
    • Upscaling of stochastic micro model for suspension transport in porous media
    • Bedrikovetsky P. Upscaling of stochastic micro model for suspension transport in porous media. Transp. Porous Media 2008, 75:335-369.
    • (2008) Transp. Porous Media , vol.75 , pp. 335-369
    • Bedrikovetsky, P.1
  • 25
    • 84974351723 scopus 로고
    • A new model for granular porous media: Part I. Model formulation
    • Payatakes A.C., Tien C., Turian R.M. A new model for granular porous media: Part I. Model formulation. AIChE J. 1973, 19:58-67.
    • (1973) AIChE J. , vol.19 , pp. 58-67
    • Payatakes, A.C.1    Tien, C.2    Turian, R.M.3
  • 26
    • 84985726373 scopus 로고
    • Application of porous media models to the study of deep bed filtration
    • Payatakes A.C., Rajagopalan R., Tien C. Application of porous media models to the study of deep bed filtration. Can. J. Chem. Eng. 1974, 52:722-731.
    • (1974) Can. J. Chem. Eng. , vol.52 , pp. 722-731
    • Payatakes, A.C.1    Rajagopalan, R.2    Tien, C.3
  • 27
    • 4544363375 scopus 로고    scopus 로고
    • Anomalous transport in "classical" soil and sand columns
    • Cortis A., Berkowitz B. Anomalous transport in "classical" soil and sand columns. Soil Sci. Soc. Am. J. 2004, 68:1539-1548.
    • (2004) Soil Sci. Soc. Am. J. , vol.68 , pp. 1539-1548
    • Cortis, A.1    Berkowitz, B.2
  • 28
    • 33846564051 scopus 로고    scopus 로고
    • Transport of Cryptosporidium parvum in porous media: long-term elution experiments and continuous time random walk filtration modeling
    • Cortis A., Harter T., Hou L., Atwill E.R., Packman A.I., Green P.G. Transport of Cryptosporidium parvum in porous media: long-term elution experiments and continuous time random walk filtration modeling. Water Resour. Res. 2006, 42:W12S13.
    • (2006) Water Resour. Res. , vol.42
    • Cortis, A.1    Harter, T.2    Hou, L.3    Atwill, E.R.4    Packman, A.I.5    Green, P.G.6
  • 29
    • 33751419487 scopus 로고    scopus 로고
    • Elliptic equation for random walks. Application to transport in microporous media
    • Shapiro A.A. Elliptic equation for random walks. Application to transport in microporous media. Physica A 2007, 375:81-96.
    • (2007) Physica A , vol.375 , pp. 81-96
    • Shapiro, A.A.1
  • 31
    • 77955920926 scopus 로고    scopus 로고
    • Modeling non-Fickian transport and hyperexponential deposition for deep bed filtration
    • Yuan H., Shapiro A.A. Modeling non-Fickian transport and hyperexponential deposition for deep bed filtration. Chem. Eng. J. 2010, 162:974-988.
    • (2010) Chem. Eng. J. , vol.162 , pp. 974-988
    • Yuan, H.1    Shapiro, A.A.2
  • 32
    • 79953295110 scopus 로고    scopus 로고
    • Uncertainty and sensitivity analysis of filtration models for non-Fickian transport and hyperexponential deposition
    • Yuan H., Sin G. Uncertainty and sensitivity analysis of filtration models for non-Fickian transport and hyperexponential deposition. Chem. Eng. J. 2011, 168:635-648.
    • (2011) Chem. Eng. J. , vol.168 , pp. 635-648
    • Yuan, H.1    Sin, G.2
  • 33
    • 70349161073 scopus 로고    scopus 로고
    • Coupled factors influencing concentration-dependent colloid transport and retention in saturated porous media
    • Bradford S.A., Kim H.N., Haznedaroglu B.Z., Torkzaban S., Walker S.L. Coupled factors influencing concentration-dependent colloid transport and retention in saturated porous media. Environ. Sci. Technol. 2009, 43:6996-7002.
    • (2009) Environ. Sci. Technol. , vol.43 , pp. 6996-7002
    • Bradford, S.A.1    Kim, H.N.2    Haznedaroglu, B.Z.3    Torkzaban, S.4    Walker, S.L.5
  • 35
    • 34548015229 scopus 로고    scopus 로고
    • The inverse problem of determining the filtration function and permeability reduction in flow of water with particles in porous media
    • Alvarez A.C., Hime G., Marchesin D., Bedrikovetsky P.G. The inverse problem of determining the filtration function and permeability reduction in flow of water with particles in porous media. Transp. Porous Media 2007, 70:43-62.
    • (2007) Transp. Porous Media , vol.70 , pp. 43-62
    • Alvarez, A.C.1    Hime, G.2    Marchesin, D.3    Bedrikovetsky, P.G.4
  • 36
    • 80054046748 scopus 로고    scopus 로고
    • Modeling colloid transport and retention in saturated porous media under unfavorable attachment conditions
    • Bradford S.A., Torkzaban S., Simunek J. Modeling colloid transport and retention in saturated porous media under unfavorable attachment conditions. Water Resour. Res. 2011, 47:W10503.
    • (2011) Water Resour. Res. , vol.47
    • Bradford, S.A.1    Torkzaban, S.2    Simunek, J.3
  • 38
    • 84877904289 scopus 로고    scopus 로고
    • Improved population balance model for straining-dominant deep bed filtration using network calculations
    • Yuan H., You Z., Shapiro A.A., Bedrikovetsky P. Improved population balance model for straining-dominant deep bed filtration using network calculations. Chem. Eng. J. 2013, 226:227-237.
    • (2013) Chem. Eng. J. , vol.226 , pp. 227-237
    • Yuan, H.1    You, Z.2    Shapiro, A.A.3    Bedrikovetsky, P.4
  • 42
    • 0027591372 scopus 로고
    • Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes
    • Derjaguin B., Landau L. Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes. Prog. Surf. Sci. 1993, 43:30-59.
    • (1993) Prog. Surf. Sci. , vol.43 , pp. 30-59
    • Derjaguin, B.1    Landau, L.2
  • 44
    • 33846632458 scopus 로고    scopus 로고
    • Direct microscopic observation of particle deposition in porous media: role of the secondary energy minimum
    • Kuznar Z.A., Elimelech M. Direct microscopic observation of particle deposition in porous media: role of the secondary energy minimum. Colloids Surf., A 2007, 294:156-162.
    • (2007) Colloids Surf., A , vol.294 , pp. 156-162
    • Kuznar, Z.A.1    Elimelech, M.2
  • 45
    • 0028386165 scopus 로고
    • Electrophoretic mobility of soft particles
    • Ohshima H. Electrophoretic mobility of soft particles. J. Colloid Interface Sci. 1994, 163:474-483.
    • (1994) J. Colloid Interface Sci. , vol.163 , pp. 474-483
    • Ohshima, H.1
  • 46
    • 76349112964 scopus 로고    scopus 로고
    • Theory of electrostatics and electrokinetics of soft particles
    • Ohshima H. Theory of electrostatics and electrokinetics of soft particles. Sci. Technol. Adv. Mater. 2009, 10:063001.
    • (2009) Sci. Technol. Adv. Mater. , vol.10 , pp. 063001
    • Ohshima, H.1
  • 48
    • 0002950829 scopus 로고
    • Interaction of unequal double layers at constant charge
    • Gregory J. Interaction of unequal double layers at constant charge. J. Colloid Interface Sci. 1975, 51:44-51.
    • (1975) J. Colloid Interface Sci. , vol.51 , pp. 44-51
    • Gregory, J.1
  • 49
    • 49049151903 scopus 로고
    • Approximate expressions for retarded van der Waals interactions
    • Gregory J. Approximate expressions for retarded van der Waals interactions. J. Colloid Interface Sci. 1981, 83:138-145.
    • (1981) J. Colloid Interface Sci. , vol.83 , pp. 138-145
    • Gregory, J.1
  • 50
    • 84985630922 scopus 로고
    • Adsorption and desorption of particles and their chromatographic separation
    • Ruckenstein E., Prieve D.C. Adsorption and desorption of particles and their chromatographic separation. Am. Inst. Chem. Eng. J. 1976, 22:276-283.
    • (1976) Am. Inst. Chem. Eng. J. , vol.22 , pp. 276-283
    • Ruckenstein, E.1    Prieve, D.C.2
  • 52
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of nonlinear parameters
    • Marquardt D. An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 1963, 11:431-441.
    • (1963) J. Soc. Ind. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.