Mathematical modeling of colloid and virus cotransport in porous media: Application to experimental data

Advances in Water Resources

Volumn 68, Issue , 2014, Pages 62-73

  Katzourakis, Vasileios E ^a   Chrysikopoulos, Constantinos V ^b  

^a UNIVERSITY OF PATRAS   (Greece)

^b TECHNICAL UNIVERSITY OF CRETE   (Greece)

Author keywords

Colloids; Cotransport; Mathematical modeling; Porous media; Viruses

Indexed keywords

COMPUTER VIRUSES; MATHEMATICAL MODELS; MATRIX ALGEBRA; POROUS MATERIALS; VIRUSES;

AQUEOUS PHASE; COLLOID PARTICLES; COTRANSPORT; COUPLED PARTIAL DIFFERENTIAL EQUATIONS; HOMOGENEOUS POROUS MEDIA; SOLID MATRIXES; UNIFORM FLOW;

COLLOIDS;

COLLOID; EXPERIMENTAL STUDY; FINITE DIFFERENCE METHOD; FLOW MODELING; MATHEMATICAL ANALYSIS; MODEL TEST; NUMERICAL MODEL; POROUS MEDIUM; THREE-DIMENSIONAL MODELING; TRANSPORT PROCESS; VIRUS;

EID: 84897974251     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2014.03.001     Document Type: Article

References (69)

1. Syngouna V.I., Chrysikopoulos C.V. Cotransport of clay colloids and viruses in water saturated porous media. Colloids Surf A: Physicochem Eng Aspects 2013, 416:56-65. 10.1016/j.colsurfa.2012.10.018.
2. Reynolds K.A., Mena K.D., Gerba C.P. Risk of waterborne illness via drinking water in the United States. Rev Environ Contam Toxicol 2008, 192:117-158.
3. Fong T., Mansfield L., Wilson D., Schwab D., Molloy S., Rose J. Massive microbiological groundwater contamination associated with a waterborne outbreak in Lake Erie, South Bass Island, Ohio. Environ Health Perspect 2007, 115(6):856-864. 10.1289/ehp.9430.
4. Craun G.F., Brunkard J.M., Yoder J.S., Roberts V.A., Carpenter J., Wade T., Calderon R.L., Roberts J.M., Beach M.J., Roy S.L. Causes of outbreaks associated with drinking water in the United States from 1971 to 2006. Clin Microbiol Rev 2010, 23(3):507-528. 10.1128/CMR.00077-09.
5. Jin Y., Flury M. Fate and transport of viruses in porous media. Adv Agron 2002, 77:39-102.
6. Zhuang J., Jin Y. Virus retention and transport through Al-coated sand columns: effects of ionic strength and composition. J Contam Hydrol 2003, 60:193-209.
7. Chu Y., Jin Y., Baumann T., Yates M.V. Effect of soil properties on saturated and unsaturated virus transport through columns. J Environ Qual 2003, 32:2017-2025.
8. Keller A.A., Sirivithayapakorn S.S., Chrysikopoulos C.V. Early breakthrough of colloids and bacteriophage MS2 in a water-saturated sand column. Water Resour Res 2004, 40:W08304. 10.1029/2003WR002676.
9. Anders R., Chrysikopoulos C.V. Evaluation of the factors controlling the time-dependent inactivation rate coefficients of bacteriophage MS2 and PRD1. Environ Sci Technol 2006, 40(10):3237-3242. 10.1021/es051604b.
10. Grolimund D., Borkovec M. Release of colloidal particles in natural porous media by monovalent and divalent cations. J Contam Hydrol 2006, 87:155-175.
11. Tong M., Johnson W.P. Colloid population heterogeneity drives hyperexponential deviation from classic filtration theory. Environ Sci Technol 2007, 41:493-499.
12. Anders R., Chrysikopoulos C.V. Transport of viruses through saturated and unsaturated columns packed with sand. Transp Porous Media 2009, 76:121-138. 10.1007/s11242-008-9239-3.
13. Kim H.N., Bradford S.A., Walker S.L. Escherichia coli O157:H7 transport in saturated porous media: role of solution chemistry and surface macromolecules. Environ Sci Technol 2009, 43:4340-4347.
14. Chrysikopoulos C.V., Masciopinto C., La Mantia R., Manariotis I.D. Removal of biocolloids suspended in reclaimed wastewater by injection in a fractured aquifer model. Environ Sci Technol 2010, 44(3):971-977. 10.1021/es902754n.
15. Ma H., Johnson W.P. Colloid retention in porous media of various porosities: predictions by the hemispheres-in-cell model. Langmuir 2010, 26(3):1680-1687. 10.1021/la902657v.
16. Syngouna V.I., Chrysikopoulos C.V. Interaction between viruses and clays in static and dynamic batch systems. Environ Sci Technol 2010, 44(12):4539-4544. 10.1021/es100107a.
17. Syngouna V.I., Chrysikopoulos C.V. Transport of biocolloids in water saturated columns packed with sand: effect of grain size and pore water velocity. J Contam Hydrol 2011, 126:301-314. 10.1016/j.jconhyd.2011.09.007.
18. 1H NMR study. Colloids Surf B 2011, 84(2):354-359. 10.1016/j.colsurfb.2011.01.026.
19. Chrysikopoulos C.V., Aravantinou A.F. Virus inactivation in the presence of quartz sand under static and dynamic batch conditions at different temperatures. J Hazard Mater 2012, 233-234:148-157. 10.1016/j.jhazmat.2012.07.002.
20. Sen T.K. Processes in pathogenic biocolloidal contaminants transport in saturated and unsaturated porous media: a review. Water Air Soil Pollut 2011, 216:239-256.
21. Chrysikopoulos C.V., Syngouna V.I. Attachment of bacteriophages MS2 and X174 onto kaolinite and montmorillonite: extended-DLVO interactions. Colloids Surf B: Biointerfaces 2012, 92:74-83. 10.1016/j.colsurfb.2011.11.028.
22. Chrysikopoulos C.V., Sim Y. One-dimensional virus transport homogeneous porous media with time dependent distribution coefficient. J Hydrol 1996, 185:199-219. 10.1016/0022-1694(95)02990-7.
23. McDowell-Boyer L.M., Hunt J.R., Sitar N. Particle transport through porous media. Water Resour Res 1986, 22:1901-1921.
24. Gschwend P.M., Backhus D.A., MacFarlane J.K., Page A.L. Mobilization of colloids in groundwater due to infiltration of water at a coal ash disposal site. J Contam Hydrol 1990, 6:307-320.
25. Ronen D., Magaritz M., Weber U., Amiel A.I., Klein E. Characterization of suspended particles collected in groundwater under natural gradient flow conditions. Water Resour Res 1992, 28:1279-1291.
26. Compere F., Porel G., Delay F. Transport and retention of clay particles in saturated porous media: influence of ionic strength and pore velocity. J Contam Hydrol 2001, 49:1-21.
27. Mills W.B., Liu S., Fong F.K. Literature review and model (COMET) for colloid/metals transport in porous media. Ground Water 1991, 29:199-208.
28. Abdel-Salam A., Chrysikopoulos C.V. Analysis of a model for contaminant transport in fractured media in the presence of colloids. J Hydrol 1995, 165:261-281. 10.1016/0022-1694(94)02675-2.
29. Ouyang Y., Shinde D., Mansell R.S., Harris W. Colloid enhanced transport of chemicals in subsurface environments: a review. Crit Rev Environ Sci Technol 1996, 26:189-204.
30. Saiers J.E., Hornberger G.M. The role of colloidal kaolinite in the transport of cesium through laboratory sand columns. Water Resour Res 1996, 32(1):33-41.
31. McCarthy J.F. Colloid-facilitated transport of contaminants in groundwater: mobilization of transuranic radionuclides from disposal trenches by natural organic matter. Phys Chem Earth 1998, 23:171-178.
32. Kersting A.B., Efurd D.W., Finnegan D.L., Rokop D.J., Smith D.K., Thompson J.L. Migration of plutonium in ground water at the Nevada test site. Nature 1999, 397:56-59. 10.1038/16231.
33. Kretzschmar R., Borkovec M., Grolimund D., Elimelech M. Mobile subsurface colloids and their role in contaminant transport. Adv Agron 1999, 66:121-194.
34. Tatalovich M.E., Lee K.Y., Chrysikopoulos C.V. Modeling the transport of contaminants originating from the dissolution of DNAPL pools in aquifers in the presence of dissolved humic substances. Transp Porous Media 2000, 38(1/2):93-115. 10.1023/A:1006674114600.
35. Maxwell R., Welty C., Harvey R. Revisiting the Cape Cod bacteria injection experiment using a stochastic modeling approach. Environ Sci Technol 2007, 41(15):5548-5558.
36. Villholth K.G., Jarvis N.J., Jacobsen O.H., de Jonge H. Field investigations and modeling of particle-facilitated pesticide transport in microporous soil. J Environ Qual 2000, 29:1298-1309.
37. McGechan M.B., Lewis D.R. Transport of particulate and colloid sorbed contaminants through soil: Part 1. General principles. Biosyst Eng 2002, 83:255-273.
38. Artinger R., Rabung T., Kim J.I., Sachs S., Schmeide K., Heise K.H., Bernhard G., Nitsche H. Humic colloid-borne migration of uranium in sand columns. J Contam Hydrol 2002, 58:1-12.
39. de Jonge L.W., Moldrup P., Rubaek G.H., Schelde K., Djurhuus J. Particle leaching and particle-facilitated transport of phosphorous at the field scale. Vadose Zone J 2004, 3:462-470.
40. James S.C., Bilezikjian T.K., Chrysikopoulos C.V. Contaminant transport in a fracture with spatially variable aperture in the presence of monodisperse and polydisperse colloids. Stochastic Environ Res Risk Assess 2005, 19(4):266-279. 10.1007/s00477-004-0231-3.
41. Pang L., Noonan M., Flintoft M., van den Brink P. A laboratory study of bacteria-facilitated cadmium transport in alluvial gravel aquifer media. J Environ Qual 2005, 34:237-247.
42. Sen T.K., Khilar K.C. Review on subsurface colloids and colloid-associated contaminant transport in saturated porous media. Adv Colloid Interface Sci 2006, 119:71-96.
43. Mibus J., Sachs S., Pfingsten W., Nebelung C., Bernhard G. Migration of uranium (IV)/(VI) in the presence of humic acids in quartz sand: a laboratory column study. J Contam Hydrol 2007, 89:199-217.
44. Severino G., Cvetkovic V., Coppola A. Spatial moments for colloid-enhanced radionuclide transport in heterogeneous aquifers. Adv Water Res 2007, 30:101-112.
45. Tien N.C., Jen C.P. Analytical modeling for colloid facilitated transport of n-member radionuclides chains in the fractured rock. Nucl Sci Tech 2007, 18(6):336-343.
46. Walshe G.E., Pang L., Flury M., Close M.E., Flintoft M. Effects of pH, ionic strength, dissolved organic matter, and flow rate on the cotransport of MS2 bacteriophages with kaolinite in gravel aquifer media. Water Res 2010, 44:1255-1269.
47. Harvey R.W., Garabedian S.P. Use of colloid filtration theory in modeling movement of bacteria through a contaminated sandy aquifer. Environ Sci Technol 1991, 25:178-185.
48. Tim U.S., Mostaghimi S. Model for predicting virus movement through soils. Ground Water 1991, 29(2):251-259.
49. Park N, Blanford TN, Huyakorn PS. VIRALT: a modular semi-analytical and numerical model for simulating viral transport in ground water. In: International ground water modeling center, Colorado School of Mines: Golden, CO; 1992.
50. Abdel-Salam A., Chrysikopoulos C.V. Analytical solutions for one-dimensional colloid transport in saturated fractures. Adv Water Resour 1994, 17(5):283-296. 10.1016/0309-1708(94)90032-9.
51. Sim Y., Chrysikopoulos C.V. Analytical models for one-dimensional virus transport in saturated porous media. Water Resour Res. 1995, 31(5):1429-1437. (Correction, Water Resour Res 32(5) 1473, 1996. http://dx.doi.org/10.1029/96WR00675). 10.1029/95WR00199.
52. James S.C., Chrysikopoulos C.V. Transport of polydisperse colloid suspensions in a single fracture. Water Resour Res 1999, 35(3):707-718. 10.1029/1998WR900059.
53. James S.C., Chrysikopoulos C.V. Analytical solutions for monodisperse and polydisperse colloid transport in uniform fractures. Colloids Surf A 2003, 226:101-118. 10.1016/S0927-7757(03)00316-9.
54. Chrysikopoulos C.V., James S.C. Transport of neutrally buoyant and dense variably sized colloids in a two-dimensional fracture with anisotropic aperture. Transp Porous Media 2003, 51:191-210. 10.1023/A:1021952226861.
55. 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. 10.1029/2011WR010812.
56. Chrysikopoulos C.V., Syngouna V.I., Vasiliadou I.A., Katzourakis V.E. Transport of Pseudomonas putida in a three-dimensional bench scale experimental aquifer. Transp Porous Media 2012, 94:634-635. 10.1007/s11242-012-0015-z.
57. Abdel-Salam A., Chrysikopoulos C.V. Modeling of colloid and colloid-facilitated contaminant transport in a two-dimensional fracture with spatially variable aperture. Transp Porous Media 1995, 20(3):197-221. 10.1007/BF01073172.
58. Corapcioglu M.Y., Kim S. Modeling facilitated contaminant transport by mobile bacteria. Water Resour Res 1995, 31(11):2639-2647. 10.1029/95WR02183.
59. Pang L., Simunek J. Evaluation of bacteria-facilitated cadmium transport in gravel columns using HYDRUS colloid-facilitated solute transport model. Water Resour Res 2006, 42:W12S10. 10.1029/2006WR004896.
60. Bekhit H.M., El-Kordy M.A., Hassan A.E. Contaminant transport in groundwater in the presence of colloids and bacteria, Model development and verification. J Contam Hydrol 2009, 108:152-167. 10.1016/j.jconhyd.2009.07.003.
61. Vasiliadou I.A., Chrysikopoulos C.V. Cotransport of Pseudomonas putida and kaolinite particles through water saturated columns packed with glass beads. Water Resour Res 2011, 47:W02543. 10.1029/2010WR009560.
62. Sim Y., Chrysikopoulos C.V. Three-dimensional analytical models for virus transport in saturated porous media. Transp Porous Med. 1998, 30:87-112. 10.1023/A:1006596412177.
63. Sim Y., Chrysikopoulos C.V. Analytical solutions for solute transport in saturated porous media with semi-infinite or finite thickness. Adv Water Resour 1999, 22(5):507-519. 10.1016/S0309-1708(98)00027-X.
64. Chrysikopoulos C.V., Roberts P.V., Kitanidis P.K. One-dimensional solute transport in porous media with partial well-to-well recirculation: application to field experiments. Water Resour Res 1990, 26(6):1189-1195. 10.1029/89WR03629.
65. Shamir U.Y., Harleman D.R.F. Numerical solutions for dispersion in porous mediums. Water Resour Res 1967, 3(2):557-581.
66. Schenk O., Gärtner K. Solving unsymmetric sparce systems of linear equations with PARADISO. J. Future Gener Comput Syst 2004, 20(3):475-487.
67. Doherty J. PEST: software for model-independent parameter estimation 2005, Watermark Numerical Computing, Australia.
68. Ratha D.N., Hari Prasad K.S., Ojha C.S.P. Analysis of virus transport in groundwater and identification of transport parameters. Pract Periodical Hazard Toxic Radioactive Waste Manage 2009, 13(2):98-109. 10.1061/(ASCE)1090-025X.
69. Sim Y., Chrysikopoulos C.V. One-dimensional virus transport in porous media with time dependent inactivation rate coefficients. Water Resour Res 1996, 32(8):2607-2611. 10.1029/96WR01496.