TECHNICAL PAPERS
Nov 1, 2006

Contaminant Transport Model for Unsaturated Soil Using Fuzzy Approach

Publication: Journal of Environmental Engineering
Volume 132, Issue 11

Abstract

Contaminant transport in the unsaturated zone is important for managing water resources and assessing the damage due to contamination in the field of irrigation, water management, wastewater management, and urban and agricultural drainage systems. Deterministic modeling which is widely used for contaminant transport is not adequate because it considers model input parameters as well-defined crisp values and hence does not account for uncertainties and imprecision. This paper presents a contaminant transport model based on fuzzy set theory to simulate water flow and contaminant transport in the unsaturated soil zone under surface ponding condition. Among all soil hydraulic parameters that have uncertainty associated with them, saturated hydraulic conductivity was found to be the most sensitive to model outputs. Trapezoidal fuzzy numbers were used to express the uncertainties associated with saturated hydraulic conductivity. The incorporation of uncertainties into contaminant transport model is useful in decision making, as it yields scientifically and practically based estimates of contaminant concentration.

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References

Ang, A. H., and Tang, W. H. (1984). Probability concepts in engineering planning and design, Wiley, New York.
Bear, J. (1972). Dynamics of fluids in porous media, Elsevier, New York.
Biggar, J. W., and Nielsen, D. R. (1976). “Spatial variability of the leaching characteristics of a field soil.” Water Resour. Res., 12(1), 78–84.
Brakensiek, D. L., and Onstad, C. A. (1977). “Parameter estimation of the Green and Ampt infiltration equation.” Water Resour. Res., 13(6), 1009–1012.
Carsel, F. F., and Parrish, R. S. (1988). “Developing joint probability distributions of soil water retention characteristics.” Water Resour. Res., 24(5), 755–769.
Casey, F. X. M., Logsdon, S. D., Horton, R., and Jaynes, D. B. (1988). “Measurement of field soil hydraulic transport parameters.” Soil Sci. Soc. Am. J., 62, 1172–1178.
Dubois, D., and Prade, H. (1988). Possibility theory—An approach to computerized processing of uncertainty, E. F. Harding, translator, Plenum, New York.
Enfield, C. G., Carsel, R. F., Cohen, S. E., Phan, T., and Walters, D. M. (1982). “Approximating pollutant transport to ground water.” Ground Water, 20(6), 711–722.
Freissinet, C., Erlich, M., and Vauclin, M. (1998). “A fuzzy logic-based approach to assess imprecisions of soil water contamination modelling.” Soil & Tillage Research, 47(1998), 11–17.
Green, W. H., and Ampt, G. A. (1911). “Studies in soil physics. I. The flow of air and water through soils.” J. Agric. Sci., 4, 1–24.
Guymon, G. L., and Yen, C. C. (1990). “An efficient deterministic-probabilistic approach to modeling regional groundwater-flow. 2. Application to Owens-Valley, California.” Water Resour. Res., 26(7), 1569–1581.
Hancu, S., Ghinda, T., Ma, L., Lesnic, D., and Ingham, D. B. (2002). “Numerical modelling and experimental investigation of the fluid flow and contaminant dispersion in a channel.” Int. J. Heat Mass Transfer, 45(13), 2707–2718.
Hansen, V. E., Israelson, O. A., and Stingham, G. (1979). Irrigation Principles and Practice, Wiley, New York.
Harvey, R. W., and Garabedian, S. P. (1991). “Use of colloid filtration theory in modeling movement of bateria through a contaminated sandy aquifer.” Environ. Sci. Technol., 25(1), 178–185.
Haverkamp, R., Parlange, J. Y., Starr, J. L., Schmitz, and Fuentes, C. (1990). “Infiltration under ponded condition: 3. A predictive equation based on physical parameters.” Soil Sci., 149(5), 292–300.
Haverkamp, R., Ross, P. J., and Parlange, J. Y. (1994). “Three dimensional analysis of infiltration from the disc infiltrometer. 2. Physically based infiltration equation.” Water Resour. Res., 30(11), 2931–2935.
Healy, R. W., and Russell, T. F. (1998). “Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian–Lagrangian localized adjoint method.” Adv. Water Resour., 21(1), 11–26.
Kacur, J., and Van Keer, R. (2003). “Numerical approximation of a flow and transport system in unsaturated-saturated porous media.” Chem. Eng. Sci., 58(21), 4805–4813.
Kaufmann, A., and Gupta, M. M. (1991). Introduction to fuzzy arithmetic: Theory and applications, Van Nostrand Reinhold, New York.
Li, E. A., Shanholtz, V. O., and Carson, E. W. (1976). “Estimating saturated hydraulic conductivity and capillary potential at the wetting front.” Dept. of Agricultural Engineers, Virgina Polytechnic Institute and State Univ., Blacksburg, Va.
Meyer, P. D., Rockhold, M. L., and Gee, G. W. (1997). “Uncertainty analyses of infiltration and subsurface flow and transport for SDMP sites.” NRC Job Code W6503, Division of Regulatory Applications, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, Washington, D.C.
Mohanty, B. P., and Mousli, Z. (2000). “Saturated hydraulic conductivity and soil water retention properties across a soil slope transition.” Water Resour. Res., 36(11), 3311–3324.
Mpimpas, H., Anagnostopoulos, P., and Ganoulis, J. (2001). “Modelling of water pollution in the Thermaikos Gulf with fuzzy parameters.” Ecol. Modell., 142(1–2), 91–104.
O’Loughlin, E. M., and Bowmer, K. H. (1975). “Dilution and decay of aquatic herbicides in flowing changes.” J. Hydrol., 26, 217–235.
Parlange, J. Y., Haverkamp, R., and Touma, J. (1985). “Infiltration under ponded conditions. 1. Optimal analytical solution and comparison with experimental observations.” Soil Sci., 139, 305–311.
Prakash, A. (2000). “Analytical modeling of contaminant transport through vadose and saturated soil zones.” J. Hydr. Div., 126(10), 773–777.
Runkel, R. L. (1996). “Solution of the advection-dispersion equation: Continuous load of finite duration.” J. Mater. Civ. Eng., J. Mater. Civ. Eng., 122(9), 830–832.
Salvucci, G. D., and Entekhabi, D. (1994). “Explicit expressions for Green–Ampt (Delta function diffusivity) infiltration rate and cumulative storage.” Water Resour. Res., 30(9), 2661–2663.
Schulz, K., and Huwe, B. (1997). “Water flow modeling in the unsaturated zone with imprecise parameters using a fuzzy approach.” J. Hydrol., 201, 211–229.
Sobieraja, J. A., Elsenbeerb, H., and Cameron, G. (2004). “Scale dependency in spatial patterns of saturated hydraulic conductivity.” Cantena, 55, 49–77.
United States Environmental Protection Agency (USEPA). (1994). PESTAN—Pesticide analytical model, version 4.0, Centre for Subsurface Modeling Support, Ada, Okla.
United Sates Environmental Protection Agency (USEPA). (1998). “Estimation of infiltration rate in the vadose zone: Compliation of simple mathematical models Volume 1.” EPA/600/R-97/128a, Subsurface Protection and Remediation Division, National Risk Management Research Laboratory, Washington, D.C.
van Genuchten, M. Th. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soil.” Semicond. Sci. Technol., 44, 892–898.
Zadeh, L. A. (1965). “Fuzzy sets.” Inf. Control., 8(3), 338–353.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 132Issue 11November 2006
Pages: 1489 - 1497

History

Received: Aug 17, 2004
Accepted: Oct 25, 2005
Published online: Nov 1, 2006
Published in print: Nov 2006

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Authors

Affiliations

J. M. Yan
Research Scholar, Water, Engineering and Development Centre, Dept. of Civil and Building Engineering, Loughborough Univ., Loughborough, Leics LE11 3TU, U.K.
K. Vairavamoorthy [email protected]
Professor, UNESCO-IHE Institute for Water Education, Westvest 7, P.O. Box 3015, 2601 DA, Delft, The Netherlands; formerly, Senior Lecturer, Water, Engineering and Development Centre, Dept. of Civil and Building Engineering, Loughborough Univ., Loughborough, Leics LE11 3TU, U.K. (corresponding author). E-mail: [email protected]
S. D. Gorantiwar
Associate Professor, Dept. of Irrigation and Drainage Engineering, M.P. Agricultural Univ., Rahuri 413 722, India; presently, Academic Visitor, Water, Engineering and Development Centre, Loughborough Univ., Loughborough, Leics LE11 3TU, U.K.

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