Stochastic modeling of transient contaminant transport

Journal of Hydrology

Volumn 276, Issue 1-4, 2003, Pages 224-239

  Aguirre, Christiana G ^a   Haghighi, Kamyar ^a  

^a Purdue University   (United States)

Author keywords

Chemical transport; Finite element method; Groundwater; Perturbation; Soil; Water quality

Indexed keywords

FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES; SOILS; STOCHASTIC PROGRAMMING; TRANSPORT PROPERTIES;

SOIL PROPERTIES;

HYDRAULIC MODELS;

FINITE ELEMENT METHOD; GROUNDWATER; MATHEMATICAL MODELING; POLLUTANT TRANSPORT; POROUS MEDIUM; SOIL; STOCHASTIC METHOD; UNSATURATED MEDIUM;

FINITE ELEMENT METHOD; GROUNDWATER; NUMERICAL MODEL; POLLUTANT TRANSPORT; POROUS MEDIUM; SOIL PROPERTY; STOCHASTICITY; VADOSE ZONE;

EID: 0038616066     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(03)00059-3     Document Type: Article

References (54)

1. Aguirm, C.G., 2000. Stochastic finite element modeling of unsaturated flow and solute transport in porous media. PhD dissertation, Purdue University, West Lafayette, IN.
2. Aguirre, C.G., Haghighi, K., Shirmohammadi, A., Montas, H., Madani, A., 2001. Modeling soil heterogeneity, spatial variability of soil properties and transient flow: stochastic finite element approach. Proceedings of the Second International Symposium and Exhibition on Preferential Flow, Ala Manoa Hotel, Honolulu, Hawaii. Sponsored by ASAE, St Joseph, MI.
3. Bakr, A., Gelhar, L.W., Gutjahr, A.L., MacMillan, J.R., 1978. Stochastic analysis of spatial variability in subsurface flows 1. Comparison of one- and three-dimensional flows. Water Resources Research 14 (2).
4. Bear, J., 1972. Dynamics of Fluids in Porous Media, Dover, New York, 764 pp.
5. Butters, G.L., 1987. Field scale transport of bromide in unsaturated soil. PhD Dissertation, University of California, Riverside.
6. Butters, G.L., Jury, W.A., Ernst, F.F., 1989. Field scale transport of bromide in an unsaturated soil 1. Experimental methodology and results. Water Resources Research 25 (7), 1575-1581.
7. Chang, C.-M., Kemblowski, M.W., Urroz, G.E., 1999. Transient stochastic analysis of biodegradable contaminant transport: first-order decay. Transport in Porous Media 35 (1), 1-14.
8. Chu, X., Basagaoglu, H., Marino, M.A., Volker, R.E., 2000. Aldicarb transport in subsurface environment: comparison of models. Journal of Environmental Engineering 126 (2), 121-129.
9. Cunningham, J.A., Goltz, M.N., Roberts, P.V., 1999. Simplified expressions for spatial moments of ground-water contaminant plumes. Journal of Hydrologic Engineering 4 (4), 377-380.
10. Cvetkovic, V., Dagan, G., 1994. Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations. Journal of Fluid Mechanics 265, 189-215.
11. Dillah, D.D., Protopapas, A.L., 2000. Uncertainty propagation in layered unsaturated soils. Transport in Porous Media 38 (3), 273-290.
12. Durmusoglu, E., Corapcioglu, M.Y., 2000. Experimental study of horizontal barrier formation by colloidal silica. Journal of Environmental Engineering 126 (9), 833-841.
13. Ehteshami, M., Peratala, R.C., Eisele, H., Deer, H., Tindall, T., 1991. Assessing pesticide contamination to groundwater: a rapid approach. Ground Water 29 (6), 862-868.
14. Fiori, A., Dagan, G., 1999. Concentration fluctuations in transport by groundwater: comparison between theory and field experiments. Water Resources Research 35 (1), 105-112.
15. Franca, A.S., Haghighi, K., 1994. Adaptive finite element analysis of transient thermal problems. Numerical Heat Transfer, Part B 26 (3), 274-294.
16. Gardner, W.R., 1958. Some steady-state solutions of the unsaturated moisture flow equation with applications to evaporation from a water table. Soil Science 85 (4), 228-232.
17. Gelhar, L.W., 1993. Stochastic Subsurface Hydrology, Prentice-Hall, Englewood Cliffs, NJ.
18. Gelhar, L.W., Axness, C.L., 1983. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resources Research 19, 161-180.
19. Gelhar, L.W., Mantoglou, A., Welty, C., Rehfeldt, K.R., 1985. A review of field-scale physical solute transport processes in saturated and unsaturated porous media. Electric Power Research Institute, Research Project 2485-5.
20. Haghighi, K., Irudayaraj, J., Stroshine, R.L., Sokhansanj, S., 1990. Grain kernel drying simulation using the finite element method. Transactions of the ASAE 33 (6), 1957-1965.
21. Harter, T., Yeh, T.C.J., 1998. Flow in unsaturated random porous media, nonlinear numerical analysis and comparison to analytical stochastic models. Advances in Water Resources 22 (3), 185-195.
22. Hoffman, J.D., 1992. Numerical Methods for Engineers and Scientists, McGraw-Hill, New York.
23. Hudak, P.F., 2000. Regional trends in nitrate content of Texas groundwater. Journal of Hydrology 228, 37-47.
24. Jensen, K.H., Mantoglou, A., 1992. Application of stochastic unsaturated flow theory, numerical simulations and comparisons to field observations. Water Resources Research 28 (1), 269-284.
25. Labolle, E.M., Quastel, J., Fogg, E., Gravner, J., 2000. Diffusion processes in composite porous media and their numerical integration by random walks: generalized stochastic differential equations with discontinuous coefficients. Water Resources Research 36 (3), 552-651.
26. Leblanc, D.R., Garabedian, S., Hess, K., Gelhar, L.W., Quadri, R., Stollenwerk, K.G., Wood, W.W., 1991. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts 1. Experimental design and observe tracer movement. Water Resources Research 27 (5), 895-910.
27. Li, M.-H., Cheng, H., Yeh, G., 2000. Solving 3D subsurface flow and transport with adaptive multigrid. Journal of Hydrological Engineering 5 (1), 74-81.
28. Lovejoy, S.B., Lee, J.G., Randhir, T.O., Engel, B.A., 1997. Research needs for water quality management in the 21st century: a spatial decision support system. Journal of Soil and Water Conservation January-February, 18-22.
29. Mantoglou, A., 1984. Large-scale models of transient unsaturated flow and contaminant transport using stochastic methods. PhD dissertation, MIT.
30. Mantoglou, A., 1992. A theoretical approach for modeling unsaturated flow in spatially variable soils: effective flow models in finite domains and nonstationarity. Water Resources Research 28 (1), 251-267.
31. Mantoglou, A., Gelhar, L.W., 1985. Large-scale models of transient unsaturated flow and contaminant transport using stochastic methods. Ralph M. Parsons Laboratory Hydrology and Water Resource Systems, Report number 299.
32. Mantoglou, A., Gelhar, L.W., 1987a. Stochastic modeling of large-scale transient unsaturated flow systems. Water Resources Research 23 (1), 37-46.
33. Mantoglou, A., Gelhar, L.W., 1987b. Capillary tension head variance, mean soil moisture content, and effective specific soil moisture capacity of transient unsaturated flow in stratified soils. Water Resources Research 23 (1), 47-56.
34. Mantoglou, A., Gelhar, L.W., 1987c. Effective hydraulic conductivities of transient unsaturated flow in stratified soils. Water Resources Research 23 (1), 57-67.
35. Mantoglou, A., Gelhar, L.W., 1989. Three-dimensional unsaturated flow in heterogeneous systems and implications on groundwater contamination: a stochastic approach. Transport in Porous Media 4, 529-548.
36. Nicolai, B., 1994. Modeling and uncertainty propagation analysis of thermal food processes. Dissertationes de Agricultura, Doctoraatsproefschrift Nr. 264 aan de Faculteit Landbouwkundige en Toegepaste Biologische Wetenschappen van de K.U. Leuven.
37. Osnes, H., Langtangen, H.P., 1998. An efficient probabilistic finite element method for stochastic groundwater flow. Advances in Water Resources 22 (2), 185-195.
38. Polmann, D.J., Vomvoris, E.G., McLaughlin, D., Hammick, E.M., Gelhar, L.W., 1998. Application of stochastic methods to the simulation of large-scale unsaturated flow and transport. Massachusetts Institute of Technology.
39. Rawls, W.J., Brakensiek, D.L., 1989. Estimation of soil water retention and hydraulic properties, Unsaturated Flow in Hydrologic Modeling - Theory and Practice, Kluwer, Dordrecht, pp. 275-300.
40. Reddy, K.J., Lin, J., 2000. Nitrate removal from groundwater using catalytic reduction. Water Research 34 (3), 995-1001.
41. Russo, D., 1995a. On the velocity covariance and transport modeling in heterogeneous anisotropic porous formations 2. Unsaturated flow. Water Resources Research 31 (1), 139-145.
42. Russo, D., 1995b. Stochastic analysis of the velocity covariance and the displacement covariance tensors in partially saturated heterogeneous anisotropic porous formations. Water Resources Research 31 (7), 1647-1658.
43. Russo, D., Zaidel, J., Laufer, A., 2001. Numerical analysis of flow and transport in a combined heterogeneous vadose zone-groundwater system. Advances in Water Resources 24, 49-62.
44. Segerlind, L.J., 1984. Applied Finite Element Analysis, Second ed, Wiley, New York.
45. Solley, W.B., Pierce, R.R., Perlman, H.A., 1998. Estimated use of water in the United States in 1995. United States Geological Survey Circular 1200, 1-71.
46. Taylor, C., Hughes, T.G., 1981. Finite Element Programming of the Navier-Stokes Equations, Pineridge Press Ltd, Swansea, UK.
47. Vomvoris, E.G., Gelhar, L.W., 1990. Stochastic analysis of the concentration variability in a three-dimensional heterogeneous aquifer. Water Resources Research 26 (10), 2591-2602.
48. Wheater, H.S., Tompkins, J.A., Van Leeuwen, M., Butler, A.P., 2000. Uncertainty in groundwater flow and transport modelling - a stochastic analysis of well-protection zones. Hydrological Processes 14 (11), 2019-2029.
49. Yeh, T.C.J., 1992. Stochastic modeling of groundwater flow and solute transport in aquifers. Hydrological Processes 6, 369-395.
50. Yeh, T.C.J., Gelhar, L.W., Gutjahr, A.L., 1985a. Stochastic analysis of unsaturated flow in heterogeneous soils 1. Statistically isotropic media. Water Resources Research 21 (4), 447-456.
51. Yeh, T.C.J., Gelhar, L.W., Gutjahr, A.L., 1985b. Stochastic analysis of unsaturated flow in heterogeneous soils 2. Statistically anisotropic media with variable. Water Resources Research 21 (4), 457-464.
52. Yeh, T.C.J., Gelhar, L.W., Gutjahr, A.L., 1985c. Stochastic analysis of unsaturated flow in heterogeneous soils 3. Observations and applications. Water Resources Research 21 (4), 465-471.
53. Zhan, H., Wheatcraft, S., 1999. Uncertainty of one-dimensional ground-water flow in strongly heterogeneous formations. Journal of Hydrologic Engineering 4 (2), 152-159.
54. Zhu, J., Sykes, J.F., 2000. Stochastic simulations of NAPL mass transport in variably saturated heterogeneous porous media. Transport in Porous Media 39 (3), 289-314.