Parameter estimation for determining hydraulic properties of a fine sand from transient flow measurements

Water Resources Research

Volumn 32, Issue 7, 1996, Pages 1965-1974

  Gribb, Molly M ^a  

^a University of South Carolina   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

WATER;

FLOW MEASUREMENT; FLOW RATE; HYDRAULIC CONDUCTIVITY; MODEL; MOISTURE; SAND; SOIL;

HYDRAULIC CONDUCTIVITY; SOILS;

CONE PENETROMETER; FLUID FLOW; HYDRAULIC PROPERTIES; SAND; UNSATURATED SOIL;

EID: 0029661811     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/96WR00894     Document Type: Article

References (37)

1. Bouwer, H., and R. D. Jackson, Determining soil properties, in Drainage for Agriculture, edited by J. van Schilfgaarde, Agron., 17, 611-672, Am. Soc. of Agron., Madison, Wis., 1974.
2. Brooks, R. H., and A. T. Corey, Hydraulic properties of porous media, Hydrol. Pap., 30, Colo. State Univ., Ft. Collins, 1964.
3. Burdine, N. T., Relative permeability calculation from size distribution data, Trans. Am. Inst. Min. Metall. Pet. Eng., 198, 71-78, 1953.
4. Campanella, R. G., and P. K. Robertson, Current status of the piezocone test, in Penetration Testing 1988, ISOPT-1, edited by J. De Ruiter, pp. 93-116, A. A. Balkema, Brookfield, Vt., 1988.
5. Celia, M. A., E. T. Bouloutas, and R. L. Zarba, A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26(1), 1483-1496, 1990.
6. Cooper, H. H., and C. E. Jacob, A generalized graphical method for evaluating formation constants and summarizing well field history, Eos Trans. AGU., 27, 526-534, 1946.
7. Eching, S. O., and J. W. Hopmans, Optimization of hydraulic functions from transient outflow and soil water pressure data, Soil Sci. Soc. Am. J., 57(5), 1167-1175, 1993.
8. Fuentes, C., R. Haverkamp, and J. Y. Parlange, Parameter constraints on closed-form soilwater relationships, J. Hydrol., 134, 117-142, 1992.
9. Gardner, W. R., Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table, Soil Sci., 85, 228-232, 1958.
10. Glover, R. E., Flow from a test-hole located above groundwater level, Theory and Problems of Water Percolation, Eng. Monogr., 8, U.S. Bur. of Reclam., Denver, Colo., 1953.
11. Gribb, M. M., At-depth determination of hydraulic conductivity of unsaturated porous media via analysis of transient flow data, Ph.D. dissertation, 95 pp., Univ. of Wisconsin-Milwaukee, 1993.
12. Hvorslev, M. J., Time-lag and soil permeability in ground water observations, Bull., 36, U.S. Army Corps of Eng. Water Exp. Stn., Vicksburg, Miss., 1951.
13. Kool, J. B., and J. C. Parker, Analysis of the inverse problem for transient unsaturated flow. Water Resour. Res., 24(6), 817-830, 1988.
14. Kool, J. B., J. C. Parker, and M. T. van Genuchten, Determining soil hydraulic properties from one-step outflow experiments by parameter estimation, I, Theory and numerical studies, Soil Sci. Soc. Am. J., 49, 1348-1354, 1985a.
15. Kool, J. B., J. C. Parker, and M. T. van Genuchten, Determining soil hydraulic properties from one-step outflow experiments by parameter estimation, II, Experimental studies, Soil Sci. Soc. Am. J., 49, 1354-1359, 1985b.
16. 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.
17. Lambe, T. W., Capillary phenomena in cohesionless soils, Trans. Am. Soc. Civ. Eng., Pap., 2435, 401-432, 1950.
18. Mualem, Y., A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res., 12(3), 513-522, 1976.
19. Olsen, R. S., and P. G. Malone, Soil classification and site characterization using the cone penetrometer test, Proc. 1st Internatl. Symposium on Penetration Testing, ISOPT-1, J. DeRuiter, Ed., A. A. Balkema, Brookfield, Vt., 1988.
20. Petsonk, A. M., A device for in situ measurement of hydraulic conductivity, paper presented at Symposium on Advances in Hydraulic Testing and Tracer Methods, AGU, San Francisco, 1985.
21. Philip, J. R., Approximate analysis of the borehole permeameter in unsaturated soil, Water Resour. Res., 21(7), 1025-1033, 1985.
22. Philip, J. R., What happens near a quasi-linear point source?, Water Resour. Res., 28(1), 47-52, 1992.
23. Reynolds, W. D., The Guelph permeameter method for in situ measurement of field-saturated hydraulic conductivity and matric flux potential, Ph.D. dissertation, 345 pp., Univ. of Guelph, Ontario, Canada, 1986.
24. Reynolds, W. D., and D. E. Elrick, A method for simultaneous in situ measurement in the vadose zone of field-saturated hydraulic conductivity and the conductivity-pressure head relationship, Groundwater Monitor. Rev., (6), 84-95, 1986.
25. Russo, D., Determining soil hydraulic properties by parameter estimation: On the selection of a model for the hydraulic properties, Water Resour. Res., 24(3), 453-459, 1988.
26. Russo, D., E. Bresler, U. Shani, and J. C. Parker, Analyses of infiltration events in relation to determining soil hydraulic properties by inverse problems methodology. Water Resour. Res., 27(6), 1361-1373, 1991.
27. Simunek, J., T. Vogel, and M. T. van Genuchten, SWMS 2D: Simulating water flow and solute transport in two-dimensional variably saturated media, U.S. Salinity Lab., Riverside, Calif., 1993.
28. Stephens, D. B., and S. P. Neuman, Vadose zone permeability tests: Steady state results, J. Hydraul. Div. Am. Soc. Civ. Eng., 108(HY5), 640-659, 1982a.
29. Stephens, D. B., and S. P. Neuman, Vadose zone permeability tests: Unsteady flow, J. Hydraul. Div. Am. Soc. Civ. Eng., 108(HY5), 660-677, 1982b.
30. Stephens, D. B., K. Lambert, and D. Watson, Regression models for hydraulic conductivity and field test of the borehole permeameter, Water Resour. Res., 23(12), 2207-2214, 1987.
31. Theis, C. V., The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage, Eos Trans. AGU, 2, 514-524, 1935.
32. Toorman, A. F., P. J. Wierenga, and R. G. Hills, Parameter estimation of hydraulic properties from one-step outflow data, Water Resour. Res., 28(11), 3021-3028, 1992.
33. U.S. Bureau of Reclamation, Ground Water Manual, U.S. Gov. Print. Off., Washington, D. C., 1977.
34. van Dam, J. C., N. M. Stricker, and P. Droogers, Inverse method for determining soil hydraulic functions from one-step outflow experiments, Soil Sci. Soc. Am. J., 56, 1042-1050, 1992.
35. van Dam, J. C., N. M. Stricker, and P. Droogers, Inverse method to determine soil hydraulic functions from multistep outflow experiments, Soil Sci. Soc. Am. J., 58, 647-652, 1994.
36. 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.
37. Warrick, A. W., Inverse estimations of soil hydraulic properties with scaling: One-dimensional infiltration, Soil Sci. Soc. Am. J., 57, 631-636, 1993.