Estimation of Unsaturated Hydraulic Parameters from Infiltration and Internal Drainage Experiments
Publication: Journal of Irrigation and Drainage Engineering
Volume 136, Issue 11
Abstract
Inverse problem of determining unsaturated soil hydraulic properties from transient infiltration and internal drainage events are analyzed. Hydraulic properties are assumed to be described by van Genuchten’s relationships. The inverse problem is solved using Levenberg-Marquardt method while the forward problem is solved using a mass conservative finite difference numerical scheme. The bias induced by different objective functions on the parameter estimates with error free and noisy data are analyzed. Field experiments are conducted at two sites to compare the parameter estimates obtained from the infiltration and internal drainage tests. The results indicate that some objective functions induce undue bias in the estimated parameters in the presence of noise in the data and as such selecting a suitable objective function should be given due importance in the parameter estimation. The comparison of the parameter estimates from infiltration and internal drainage experiments at two sites indicates that the parameter estimates are close to each other. It is concluded that infiltration experiment, which is simpler and of short duration can be an alternative to internal drainage experiment for estimating the unsaturated soil parameters.
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References
Abbaspour, K. C., van Genuchten, M. Th., Schulin, R., and Schlappi. E. (1997). “A sequential uncertainty domain inverse procedure for estimating subsurface flow and transport parameters.” Water Resour. Res., 33, 1879–1892.
Bitterlich, S., Durner, W., Iden, S. C., and Knabner, P. (2004). “Inverse estimation of the unsaturated soil hydraulic properties from column outflow experiment using free-form parameterizations.” J. Vadose Zone, 3, 971–981.
Celia, M. A., Boulotas, E. T., and Zarba, R. L. (1990). “A general mass conservative numerical solution for the unsaturated flow equation.” Water Resour. Res., 26(7), 1483–1496.
Cobb, P. M., McElwee, C. D., and Butt, M. A. (1982). “Analysis of leaky aquifer pumping test data: An automated numerical solution using sensitivity analysis.” Ground Water, 20, 325–333.
Dane, J. H., and Hruska, S. (1983). “In situ determination of soil hydraulic properties during drainage.” Soil Sci. Soc. Am. J., 47, 619–624.
Disken, M. H., and Simon, E. (1977). “A procedure for the selection of objective functions for hydraulic simulation models.” J. Hydrol., 34, 129–149.
Eching, S. O., Hopmans, J. W., and Wendroth, O. (1994). “Unsaturated hydraulic conductivity from transient multistep outflow and soil water pressure data.” Soil Sci. Soc. Am. J., 58, 687–695.
Ghidoui, M. S., and Prasad, K. S. H. (2000). “A priori identifiability of unsaturated soil parameters.” J. Irrig. Drain. Eng., 126(3), 163–171.
Haruyuki, F., and Mitsuhiro, I. (2003). “A transient evaporation method for determining soil properties a low pressure.” J. Vadose Zone, 2, 400–408.
Hornung, U., and Messing, W. (1982). “Identification of soil parameters for an infiltration problem.” Finite elements in water resources, K. P. Holz, ed., Springer, New York, 15–24.
Khatibi, R. H., Williams, J. R., and Wormleaton, P. R. (1997). “Identification problem of open-channel friction parameters.” J. Hydraul. Eng., 123(12), 1078–1088.
Kool, J. B., and Parker, J. C. (1988). “Analysis of the inverse problem for transient unsaturated flow.” Water Resour. Res., 24, 817–830.
Kool, J. B., Parker, J. C., and van Genuchten, M. T. (1987). “Parameter estimation for unsaturated flow and transport models – A Review.” J. Hydrol., 91, 255–293.
More, J. J. (1977). “The Levenberg-Marquardt algorithm: Implementation and theory.” Lecture notes in mathematics, G. A. Watson, ed., Vol. 630, Springer, New York, 105–116.
Osborne, M. R. (1976). “Nonlinear least squares The Levenberg algorithm revised.” J. Aust. Math. Soc. Ser. B, Appl. Math., 19, 343–357.
Ratha, D. N., Hari Prasad, K. S., and Ojha, C. S. P. (2009). “Analysis of virus transport in groundwater and identification of transport parameters.” Pract. Period. Hazard. Toxic Radioact. Waste Manage., 13(2), 98–109.
Richards, L. A. (1931). “Capillary conduction of liquids through porous medium.” Physics, 1, 318–333.
Russo, D., Bresler, E., Shani, U., and Parker, J. C. (1991). “Analysis of infiltration events in relation to determining soil hydraulic properties by inversion problem methodology.” Water Resour. Res., 27, 1361–1373.
Santini, A., Romano, N., Ciollaro, G., and Comegna, V. (1995). “Evaluation of a laboratory inverse method for determining unsaturated hydraulic properties of a soil under different tillage practices.” Soil Sci., 160, 340–351.
Si, B. C., and Kachanoski, R. G. (2000). “Unified solution for infiltration and drainage with hysteresis: Theory and field test.” Soil Sci. Soc. Am. J., 64, 24–29.
Simunek, J., and van Genuchten, M. T. (1996). “Estimating unsaturated soil hydraulic properties from tension disc infiltrometer data by numerical inversion.” Water Resour. Res., 32, 2683–2696.
van Genuchten, M. T. (1980). “A closed form equation for predicting the hydraulic conductivity of unsaturated soil.” Soil Sci. Soc. Am. J., 44, 892–898.
Williams, W. H. (1977). “How bad can good data really be?” Am. Stat., 32(2), 61–65.
Zachmann, D. W., Du Chateau, P. C., and Klute, A. (1981). “The calibration of the Richards flow equation for a draining column by parameter identification.” Soil Sci. Soc. Am. J., 45, 1012–1015.
Zhang, Z. F., Ward, A. L. and Gee, G. W. (2003). “Estimating soil hydraulic parameters of a field drainage experiment using inverse techniques.” J. Vadose Zone, 2, 201–211.
Zou, Z. Y., Young, M. H., Li, Z., and Wierenga, P. J. (2001). “Estimation of depth averaged unsaturated soil hydraulic properties from infiltration experiments.” J. Hydrol., 242, 26–42.
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© 2010 ASCE.
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Received: Jan 1, 2009
Accepted: Feb 17, 2010
Published online: Feb 19, 2010
Published in print: Nov 2010
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