Hydraulic conductivity estimation for soils with heterogeneous pore structure

Water Resources Research - Tập 30 Số 2 - Trang 211-223 - 1994
Wolfgang Durner

Tóm tắt

The hydraulic conductivity function, which is required to solve the Richards equation, is difficult to measure. Therefore prediction methods are frequently used where the shape of the conductivity function is estimated from the more easily measured water retention characteristic. Errors in conductivity estimations can arise either from an invalidity of the prediction model for a given soil, or from an incorrect description of the retention data. This second error source is particularly important for soils with heterogeneous pore systems that cannot be adequately described by the usually used retention functions. To describe the retention characteristics of such soils, a flexible θ(ψ) function was formed by superimposing unimodal retention curves of the van Genuchten (1980) type. By combining this retention model with the conductivity prediction model of Mualem (1976), conductivity estimations for soils with heterogeneous pore systems are obtained. Estimated conductivities by this model and the classical van Genuchten‐Mualem method can differ by orders of magnitude. Thus reported disagreements between measured and estimated conductivities may in some cases be due to an inadequate description of the retention data rather than due to a failure of the prediction model.

Từ khóa


Tài liệu tham khảo

10.1111/j.1365-2389.1985.tb00347.x

10.13031/2013.30123

10.2136/sssaj1986.03615995005000050003x

10.1111/j.1365-2389.1989.tb01295.x

Bear J., 1991, Introduction to Transport Phenomena in Porous Media

10.1002/jpln.19801430513

10.1097/00010694-197810000-00001

Brooks R. H. A. T.Corey Hydraulic properties of porous media Hydrol. Pap. 3 1–27 Colo. State Univ. Fort Collins 1964.

Bruce R. R., 1986, Methods of Soil Analysis, part 1, 799

10.1097/00010694-196602000-00002

10.1029/WR004i002p00425

Burdine N. T., 1953, Relative permeability calculations from pore size distribution data, Trans. Am. Inst. Min. Metall. Pet. Eng., 198, 71

10.1097/00010694-197406000-00001

10.1016/0304-3800(85)90036-5

10.1016/0022-1694(92)90106-6

10.2136/sssaj1993.03615995005700030008x

10.1098/rspa.1950.0068

Corey A. T. Pore‐size distribution Proceedings of the International Workshop Indirect Methods for Estimating the Hydraulic Properties of Unsaturated SoilsM. T.vanGenuchten F. J.Leij L. J.Lund 37–44University of California Riverside 1992.

10.1111/j.1365-2389.1985.tb00352.x

De Jong R. G. C.Topp W. D.Reynolds The use of measured and estimated hydraulic properties in the simulation of soil water content profiles: A case study Proceedings of the International Workshop Indirect Methods for Estimating the Hydraulic Properties of Unsaturated SoilsM. T.vanGenuchten F. J.Leij L. J.Lund 569–584University of California Riverside 1992.

10.1029/WR015i001p00107

Dixon R. M., 1972, Fundamentals of Transport Phenomena in Porous Media, 107

Durner W., 1991, Vorhersage der hydraulischen Leitfähigkeit strukturierter Böden, Bayreuther Bodenkundliche Berichte, 20, 1

Durner W. Predicting the unsaturated hydraulic conductivity using multi‐porosity water retention curves Proceedings of the International Workshop Indirect Methods for Estimating the Hydraulic Properties of Unsaturated SoilsM. T.vanGenuchten F. J.Leij L. J.Lund 185–202University of California Riverside 1992.

10.1029/WR008i003p00699

10.1097/00010694-197405000-00002

10.1029/92WR02339

10.1097/00010694-197708000-00010

10.2136/sssaj1976.03615995004000020008x

10.2136/sssaj1971.03615995003500010010x

Hampton D. R. Coupled heat and fluid flow in saturated‐unsaturated compressible porous media Ph.D. thesis Colo. State Univ. Fort Collins 1989.

Hampton D. R., 1990, Computational Methods in Subsurface Hydrology

Hantschel R., 1987, Die Bedeutung von Porenheterogenitäten für die Erstellung der pF‐WG‐ und K‐ψ‐Kurven, Desch. Bodenkdl. Mitt., 53, 403

10.2136/sssaj1977.03615995004100020024x

Hornung U. Identification of nonlinear soil physical parameters from an input‐output experiment Workshop on Numerical Treatments of Inverse Problems in Differential and Integral EquationsP.Deyuflhard E.Haier 227–237Birkhäuser Boston Mass. 1983.

10.2136/sssaj1972.03615995003600020047x

Jacobsen O. H., 1989, Unsaturated hydraulic conductivity for some Danish soils, Methods and characterization of soils, Tidsskr. Planteavl, 93, 1

10.1111/j.1365-2389.1991.tb00091.x

10.1029/WR011i001p00127

10.1097/00010694-198909000-00001

10.2136/sssaj1965.03615995002900040006x

10.1029/WR023i001p00105

Kool J. B., 1987, Estimating soil hydraulic properties from transient flow experiments: SFIT User's Guide

10.1029/WR024i006p00817

10.1016/0022-1694(87)90207-1

10.2136/sssaj1968.03615995003200060020x

10.2136/sssaj1989.03615995005300050003x

10.1080/02626666909493724

10.1016/0169-7722(91)90038-3

10.1029/WR025i010p02187

10.1111/j.1365-2389.1958.tb01892.x

10.1097/00010694-198904000-00009

10.1039/tf9615701200

10.1029/WR012i003p00513

10.1029/WR014i002p00325

Mualem Y., 1986, Methods of Soil Analysis, part 1, 799

Mualem Y. Modeling the hydraulic conductivity of unsaturated porous media Proceedings of the International Workshop Indirect Methods for Estimating the Hydraulic Properties of Unsaturated SoilsM. T.vanGenuchten F. J.Leij L. J.Lund 15–36University of California Riverside 1992.

10.2136/sssaj1978.03615995004200030003x

Nielsen D. R. L.Luckner Theoretical aspects to estimate reasonable initial parameters and range limits in identification procedures for soil hydraulic properties Proceedings of the International Workshop Indirect Methods for Estimating the Hydraulic Properties of Unsaturated SoilsM. T.vanGenuchten F. J.Leij L. J.Lund 147–160University of California Riverside 1992.

10.2136/sssaj1960.03615995002400030011x

10.1029/91WR00165

10.1097/00010694-199109000-00001

Parker J. C., 1985, Determining soil hydraulic properties from one‐step outflow experiments by parameter estimation, II, Experimental studies, Soil Sci. Soc. Am. J., 49, 1348, 10.2136/sssaj1985.03615995004900060005x

10.1029/WR016i004p00749

10.1029/WR024i003p00416

10.1029/WR026i006p01249

10.2136/sssaj1985.03615995004900040008x

Purcell W. R., 1949, Capillary pressures‐their measurement using mercury and the calculation of permeability therefrom, Trans. Am. Inst. Min. Metall. Pet. Eng., 186, 39

10.1097/00010694-198106000-00006

10.1097/00010694-197212000-00004

10.2136/sssaj1993.03615995005700010006x

10.2136/sssaj1972.03615995003600030011x

10.1029/WR024i003p00453

10.1016/0022-1694(87)90019-9

10.2136/sssaj1986.03615995005000040039x

Schjønning P., 1985, Porøsitetsforhold i landbrugsjord, I, Modeller og jordtypeforskelle, (in Danish), Tidsskrift. Planteavl., 89, 411

Schofield R. K., 1935, The pF of the water in soil, Trans. 3rd Int. Congr. Soil Sci., 2, 38

10.2136/sssaj1990.03615995005400060001x

10.2136/sssaj1968.03615995003200060021x

10.1016/0022-1694(88)90033-9

Simmons C. S., 1979, Scaling of field‐measured soil‐water properties, I, Methodology, Hilgardia, 50, 1

10.1016/0022-1694(90)90084-B

10.1002/jpln.19921550214

Stephens D. B. A comparison of calculated and measured unsaturated hydraulic conductivity of two uniform soils in New Mexico Proceedings of the International Workshop Indirect Methods for Estimating the Hydraulic Properties of Unsaturated SoilsM. T.vanGenuchten F. J.Leij L. J.Lund 249–262University of California Riverside 1992.

10.2136/sssaj1985.03615995004900010002x

Su C. R. H.Brooks Soil hydraulic properties from infiltration testsWatershed Management ProceedingsIrrig. and Drain. Div. Am. Soc. Civ. Eng.Logan UtahAug. 11–13 1975.

10.1097/00010694-198509000-00004

10.2136/sssaj1975.03615995003900010011x

10.2136/sssaj1980.03615995004400050002x

vanGenuchten M. T. F. J.Leij On estimating the hydraulic properties of unsaturated soils Proceedings of the International Workshop Indirect Methods for Estimating the Hydraulic Properties of Unsaturated SoilsM. T.vanGenuchten F. J.Leij L. J.Lund 1–14University of California Riverside 1992.

Genuchten M. T., 1985, On describing and predicting the hydraulic properties of unsaturated soils, Ann. Geophys., 3, 615

10.1097/00010694-198912000-00001

Visser W. C., 1968, Water in the Unsaturated Zone, Proceedings of the Wageningen Symposium, 329

10.1007/BF00222683

10.1029/WR021i012p01861

10.1016/0016-7061(90)90013-Y

10.2136/sssaj1988.03615995005200060045x

Wyllie M. R. J., 1958, The generalized Kozeny‐Carman equation, World Oil, 146, 210

Yuster S. T., 1951, Theoretical considerations of multiphase flow in idealized capillary systems, World Petr. Congr. Proc., 3rd, 2, 437

10.2136/sssaj1981.03615995004500060002x

10.1097/00010694-198209000-00002