A sequential uncertainty domain inverse procedure for estimating subsurface flow and transport parameters

Water Resources Research

Volumn 33, Issue 8, 1997, Pages 1879-1892

  Abbaspour, K C ^a,d   Van Genuchten, M T ^b   Schulin, R ^a,d   Schlappi E ^c  

^a ETH ZURICH   (Switzerland)

^b U S SALINITY LABORATORY   (United States)

^c Colombi Schmutz Dorthe ^*  (Switzerland)

^d SWISS FEDERAL INSTITUTE OF TECHNOLOGY   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW; HYDRAULICS; TRANSPORT PHENOMENA;

GROUNDWATER PROCESSES; HYDRAULIC PARAMETERS; PARAMETER ESTIMATION; SUBSURFACE FLOW; TRANSPORT PARAMETERS;

FLOW OF WATER; INVERSE PROBLEMS; ITERATIVE METHODS; UNCERTAINTY ANALYSIS;

BAYESIAN FRAMEWORKS; BREAK THROUGH CURVE; DRAINAGE EXPERIMENTS; FITTING PROCEDURE; FLOW AND TRANSPORT; PARAMETER ESTIMATE; UNCERTAINTY DOMAINS; UNSATURATED SOIL;

PARAMETER ESTIMATION;

EID: 0030850092     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR01230     Document Type: Article

References (39)

1. Abbaspour, K. C., R. Schulin, E. Schläppi, and H. Flühler, A Bayesian approach for incorporating uncertainty and data worth in environmental projects, Environ. Model. Assess., 1, 151-158, 1996.
2. Abeele, W. V., Determination of hydraulic conductivity in crushed Bandelier Tuff, Tech. Rep. LA-8147-MS, Los Alamos Natl. Lab., Los Alamos, N. M., 1979.
3. Abeele, W. V., Hydraulic testing of crushed Bandelier Tuff, Tech. Rep. LA-10037-MS, Los Alamos Natl. Lab., Los Alamos, N. M., 1984.
4. Benjamin, J. R., and C. A. Cornell; Probability, Statistics, and Decision for Civil Engineers, McGraw-Hill, New York, 1970.
5. Carrera, J., State of the art of the inverse problem applied to the flow and solute transport equations, in Groundwater Flow and Quality Modeling, NATO ASI Ser. Ser. C, vol. 224, edited by E. Curtodio, A. Gurgui, and J. P. Lobo Ferreira, pp. 549-583, D. Reidel, Norwell, Mass., 1987.
6. Carrera, J., and S. P. Neuman, Estimation of aquifer parameters under transient and steady state conditions, 1, Maximum likelihood method incorporating prior information, Water Resour. Res., 22, 199-210, 1986.
7. Cislerova, M., Comparison of simulated water balance for ordinary and scaled soil hydraulic characteristics, Tech. Rep. 82, Dep. of Hydraulics and Catchment Hydrol., Wageningen Agric. Univ., Wageningen, Netherlands, 1987.
8. Clifton, P. M., and S. P. Neuman, Effects of kriging and inverse modeling on conditional simulation of the Avra Valley aquifer in southern Arizona, Water Resour. Res., 18, 1215-1234, 1982.
9. Cooley, R. L., Incorporation of prior information on parameters into nonlinear regression groundwater flow models, 1, Theory, Water Resour. Res., 18, 965-967, 1982.
10. Cooley, R. L., Incorporation of prior information on parameters into nonlinear regression groundwater flow models, 2, Applications, Water Resour. Res., 19, 662-676, 1983.
11. Dagan, G., Stochastic modeling of groundwater flow by unconditional and conditional probabilities: The inverse problem. Water Resour. Res., 21, 65-72, 1985.
12. Dane, J. H., and S. Hruska, In situ determination of soil hydraulic properties during drainage. Soil Sci. Soc. Am. J., 47, 619-624, 1983.
13. Eching, S. O., and J. W. Hopmans, Optimization of hydraulic functions from transient outflow and soil water pressure head data, Soil Sci. Soc. Am. J., 57, 1167-1175, 1993.
14. Eching, S. O., J. W. Hopmans, and W. W. Wallender, Estimation of in situ unsaturated soil hydraulic functions from scaled cumulative drainage data, Water Resour. Res., 30, 2387-2394, 1994.
15. Hoeksema, R. J., and P. K. Kitanidis, An application of the geostatistical approach to the inverse problem in two-dimensional groundwater modeling, Water Resour. Res., 20, 1003-1020, 1984.
16. Hopmans, J. W., and J. N. M. Stricker, Stochastic analysis of soil water regime in a watershed, J. Hydrol., 105, 57-84, 1989.
17. Kitanidis, P. K., Quasi-linear geostatistical theory for inversing, Water Resour. Res., 31, 2411-2419, 1995.
18. Kitanidis, P. K., and E. G. Vomvoris, A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulations, Water Resour. Res., 19, 677-690, 1983.
19. Kool, J. B., and J. C. Parker, Analysis of the inverse problem for transient unsaturated flow. Water Resour. Res., 24, 817-830, 1988.
20. Kool, J. B., J. C. Parker, and M. T. van Genuchten, Parameter estimation for unsaturated flow and transport models - A review, J. Hydrol., 91, 255-293, 1987.
21. Marquardt, D. W., An algorithm for least squares estimation of non-linear parameters, SIAM J. Appl. Math., 11, 431-441, 1963.
22. McKay, M. D., R. J. Beckman, and W. J. Conover, A comparison of three methods for selecting values of input variables in the analysis of output form a computer code, Technometrics, 21(2), 239-245, 1979.
23. Mishra, S., and J. C. Parker, Parameter estimation for coupled unsaturated flow and transport, Water Resour. Res., 25, 385-396, 1989.
24. National Research Council (NRC), Ground Water Models, Scientific and Regulatory Applications, 303 pp., Comm. on Groundwater Model. Assess., Water Sci. and Technol. Board, Natl. Res. Counc., Natl. Acad. Press, Washington, D. C., 1990.
25. Parker, J. C., and M. T. van Genuchten, Determining transport parameters from laboratory and field trace experiments, Va. Agric. Exp. Stn. Bull. 84, 92 pp., 1984.
26. Parker, J. C., J. B. Kool, and M. T. van Genuchten, Determining soil hydraulic properties from one-step outflow experiments by parameter identification, 2, Experimental studies, Soil Sci. Soc. Am. J., 49, 1354-1359, 1985.
27. Ségol, G., Classic Groundwater Simulations; Proving and Improving Numerical Models, 531 pp., Prentice-Hall, Englewood Cliffs, N. J., 1994.
28. Shouse, P. J., J. B. Sisson, T. R. Ellsworth, and J. A. Jobes, Estimating in situ unsaturated hydraulic properties of vertical heterogeneous soils, Soil Sci. Soc. Am. J., 56, 1673-1679, 1992.
29. Simunek, J., T. Vogel, and M. T. van Genuchten, The SWMS_2D Code for Simulating Water Flow and Solute Transport in Two-Dimensional Variably Saturated Media, Version 1.21, 197 pp., U.S. Salinity Lab., Agric. Res. Serv., U.S. Dep. of Agric., Riverside, Calif., 1994.
30. Sisson, J. B., and M. T. van Genuchten, An improved analysis of gravity drainage experiments for estimating the unsaturated soil hydraulic functions, Water Resour. Res., 27, 569-575, 1991.
31. Sun, N. Z., and W. W.-G. Yeh, Coupled inverse problems in groundwater modeling, 1, Sensitivity analysis and parameter identification, Water Resour. Res., 26, 2507-2525, 1990.
32. Van Dam, J. C., J. N. M. Stricker, and P. Droogers, From one-step to multi-step: Determination of soil hydraulic functions by outflow experiments, Tech. Rep. 7, Dep. of Hydrol., Soil Phys., and Hydraulics, Wageningen Agric. Univ., Wageningen, Netherlands, 1990.
33. van Genuchten, M. T., A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898, 1980.
34. van Genuchten, M. T., and P. J. Wierenga, Solute dispersion coefficients and retardation factor, in Methods of Soil Analysis, 1, Physical and Mineralogical Methods, Agron. Monogr. Ser., vol. 9, edited by A. Klute, 2nd ed., pp. 1025-1053, Am. Soc. of Agron. and Soil Sci. Soc. of Am., Madison, Wis., 1986.
35. van Genuchten, M. T., J. C. Parker, and J. B. Kool, Analysis and prediction of water and solute transport in a large lysimeter, in Modeling Study of Solute Transport in the Unsaturated Zone, Workshop Proceedings, Los Alamos National Laboratory, NUREG/CR-4615, LA-10730-MS, vol. 2, edited by E. P. Springer and H. R. Fuentes, pp. 4-31, U.S. Nucl. Regul. Comm., Washington, D. C., 1987.
36. Vogel, T., K. Huang, R. Zhang, and M. T. van Genuchten, The HYDRUS code for simulating one-dimensional water flow, solute transport, and heat movement in variable-saturated media, version 5, U.S. Salinity Lab., Agric. Res. Serv., U.S. Dep. of Agric., Riverside, Calif., 1996.
37. Yeh, W. W.-G., Review of parameter identification procedures in ground water hydrology. The inverse problem, Water Resour. Res., 22, 95-108, 1986.
38. Yeh, W. W.-G., and Y. S. Yoon, Aquifer parameter identifiability with optimum dimension in parameterization, Water Resour. Res., 17, 664-672, 1981.
39. Yeh, T.-C. J., J. Minghui, and S. Hanna, An iterative stochastic inverse method: Conditional effective transmissivity and hydraulic head fields, Water Resour. Res., 32, 85-92, 1996.