Comparison of the Instantaneous Profile Method and inverse modelling for the prediction of effective soil hydraulic properties
Oagile DikinyaDepartment of Environmental Science, The University of Botswana, Private Bag 0022, Gaborone, Botswana. Current address: School of Earth and Geographical Sciences, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia. Email: dikino01@cyllene.uwa.edu.au
Australian Journal of Soil Research 43(5) 599-606 https://doi.org/10.1071/SR04151
Submitted: 19 October 2004 Accepted: 8 March 2005 Published: 8 August 2005
Abstract
Soil hydraulic conductivity K(θ) and soil water retention θ(h) have been determined from a drainage experiment. Two lysimeters, one filled with a sandy soil and the other with a loamy soil, were set up for a 1-dimensional transient flow experiment. The data were collected after flooding the lysimeters with water. Soil water contents were measured by time domain reflectrometry (TDR) and pressure heads were measured by tensiometers with mercury manometers. The experimental data determined by the instantaneous profile method (IPM) were compared with the results obtained by inverse modelling. The inverse modelling proved to be superior to the IPM methodology in effective prediction of hydraulic properties. The measurable properties water content and pressure head were optimised for the following datasets: water content (WC), pressure head (P-h), and a combination of WC and P-h. For both soils the optimisation of the dataset with both WC and P-h resulted in parameters that corresponded closely to the soil hydraulic data generated by the IPM method. The correspondence for the water retention data was better than for the hydraulic conductivity data. The datasets with WC only or P-h only did not contain enough information to accurately estimate the soil hydraulic properties. In most cases the results indicated that the sandy soil gave better agreement than the loamy soil. This was attributed to the faster drainage of the sandy than the loamy soil.
Additional keywords: water retention, hydraulic conductivity, drainage experiment, sandy soil, loamy soil.
Acknowledgments
This work was carried out during my MSc studies at the University of Wageningen, The Netherlands. I would like to thank my MSc project supervisors; Drs C. Dirksen and J. C. van Dam for their guidance and supervision. I am also thankful to the anonymous reviewers for their constructive comments on the manuscript.
Arya LM
(2002) Plane of zero flux. ‘Methods of soil analysis: Part 4, Physical methods’. SSSA Book Series, Vol. 5 (Eds JH Dane, GC Topp)
pp. 937–962. (Soil Science Society of America: Madison, WI)
Arya LM,
Leij FJ,
Shouse PJ, van Genuchten MTH
(1999b) Relationship between the hydraulic conductivity function and the particle size distribution. Soil Science Society of America Journal 63, 1063–1070.
Ahuja LR,
Green RE,
Chong SK, Nielsen DR
(1980) A simplified functions approach for determining soil hydraulic conductivities and water characteristics in situ. Water Resources Research 16, 947–953.
deBoer, C ,
and
Rice, RJ (1968).
Chaudhari SK, Batta RK
(2003) Predicting unsaturated hydraulic conductivity functions of three Indian soils from particle size distribution data. Australian Journal of Soil Research 41, 1457–1466.
| Crossref | GoogleScholarGoogle Scholar |
Chen J,
Hopmans JW, Grismer ME
(1999) Parameter estimation of two-fluid capillary pressure-saturation and permeability functions. Advances in Water Resources 22, 479–493.
| Crossref | GoogleScholarGoogle Scholar |
van Dam JC,
Stricker JNM, Droogers P
(1994) Inverse method to determine soil hydraulic functions from multi-step outflow experiments. Soil Science Society of America Journal 58, 647–652.
Dane JH, Hruska S
(1983) In situ determination of soil hydraulic properties during drainage. Soil Science Society of America Journal 47, 619–624.
Dirksen C
(1991) Unsaturated hydraulic conductivity. ‘Soil analysis: Physical methods’. (Eds K Smith, C Mullins)
(Marcel Dekker: New York)
Durner W
(1994) Hydraulic conductivity estimation for soils with heterogeneous pore structure. Water Resources Research 30, 211–233.
| Crossref | GoogleScholarGoogle Scholar |
Durner W, Schultze EB, Zurmuhl T
(1997) State of-the-art in inverse modelling of inflow/outflow experiments. ‘Characterisation and measurement of the hydraulic properties of unsaturated porous media. Proceedings of International Workshop’. Riverside, CA. (Ed. MTh van Genuchten ,
FJ Leij ,
L Wu )
pp. 661–681. (University of California: Riverside, CA)
van Genuchten MTh
(1980) A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal 44, 892–898.
van Genuchten, MTh ,
Leij, FJ ,
and
Wu, L (1999).
Hopmans JW, Simunek J, Romano N, Durner W
(2002) Simultaneous determination of water transmission and retention properties—inverse methods. ‘Methods of soil analysis: Part 4, Physical methods’. SSSA Book Series, Vol 5. (Eds JH Dane, GC Topp, L Wu)
pp. 963–1008. (Soil Science Society of America: Madison, WI)
Hollenbeck KJ, Jensen KH
(1998a) Maximum-likelihood estimation of unsaturated hydraulic conductivity parameters. Journal of Hydrology 210, 319–327.
| Crossref |
Hutchinson PA, Bond WJ
(2001) Routine measurement of soil water potential gradient near saturation using a pair of tube tensiometers. Australian Journal of Soil Research 39, 1147–1156.
| Crossref | GoogleScholarGoogle Scholar |
Klute A
(1973) Soil water flow theory and its application in field situations. ‘Field soil water regime’. Special Publication No. 5. (Ed. RR Bruce)
(Soil Science Society of America: Madison, WI)
Klute A, Dirksen C
(1986) Hydraulic conductivity and diffusivity. ‘Methods of soil analysis. Part 1’. Agronomy Monograph No. 9. (Ed. A Klute)
pp. 687–734. (ASA and SSSA: Madison, WI)
Knopman DS, Voss CI
(1987) Behaviour of sensitivities in the one-dimensional advection–dispersion equations: Implications for parameter estimation and sampling design. Water Resources Research 23, 253–272.
Kool JB, Parker JC
(1987) Estimating soil hydraulic properties from transient flow experiments: SFIT users’s guide. Soil and Environmental Sciences, Virginia Polytechnic Institute and State University, VA.
Kool JB, Parker JC
(1988) Analysis of the inverse problem for transient unsaturated flow. Water Resources Research 24, 817–830.
Lane NJ, Mckenzie DH
(2001) Field and laboratory calibration and test of TDR and capacitance techniques for indirect measurement of soil water content. Australian Journal of Soil Research 39, 1371–1386.
| Crossref | GoogleScholarGoogle Scholar |
Libardi PL,
Reichardt K,
Nielsen DR, Biggar JW
(1980) Simple field methods for estimating soil hydraulic conductivity. Soil Science Society of America Journal 44, 3–7.
Millington RJ, Quirk JP
(1961) Permeability of porous solids. Transactions of the Faraday Society 57, 1200–1206.
| Crossref | GoogleScholarGoogle Scholar |
Mualem Y
(1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resources Research 12, 513–522.
Mualem Y
(1992) Modelling the hydraulic conductivity of unsaturated porous media. ‘Proceedings of International Workshop on Indirect Methods of Estimating the Hydraulic Properties of Unsaturated Soils’. 11–13 October 1989. (Ed. FJ Leij ,
LJ Lund ,
L Wu )
pp. 15–36. (US Salinity Laboratory and Department of Soil and Environmental Science, University of California: Riverside, CA)
Normand B,
Recous S,
Vachaud L,
Kenngni
, Garino B
(1997) Nitrogen-15 tracers combined with tension-neutronic method to estimate the nitrogen balance of irrigated maize. Soil Science Society of America Journal 61, 1508–1518.
Parkin GW,
Elrick DE,
Kachanoski RG, Gibson RG
(1995) Unsaturated hydraulic conductivity measured by TDR under a rainfall simulator. Water Resources Research 31, 447–454.
| Crossref | GoogleScholarGoogle Scholar |
Rose CW,
Stern WR, Drummond JE
(1965) Determination of hydraulic conductivity as a function of depth and water content for soil in situ. Australian Journal of Soil Research 3, 1–9.
| Crossref | GoogleScholarGoogle Scholar |
Simunek J, van Genuchten MTh
(1997) Estimating unsaturated soil hydraulic properties from multiple tension disc infiltrometer data. Soil Science Society of America Journal 162, 383–398.
Topp GC,
Davids JL, Annan AP
(1980) Electromagnetic determination of soil water content: Measurements in coaxial transmission lines. Water Resources Research 16, 574–582.
Topp GC, Zegelin SJ, White I
(1994) Monitoring soil water content using TDR: an overview of progress. ‘Proceedings of the Symposium on TDR in Environmental, Infrastructure and Mining applications’. US Department of the Interior Special Publication No. 19–94. (Ed. KM O’Connor ,
CH Dowding ,
CC Jones )
pp. 67–80. (University of Evanston: Evanston, IL)
Tseng P-H, Jury WA
(1993) Simulation of field measurement of hydraulic conductivity in unsaturated heterogeneous soil. Water Resources Research 29, 2087–2099.
| Crossref | GoogleScholarGoogle Scholar |
Van Bavel CHM,
Stirk GB, Brust KJ
(1968) Hydraulic properties of clay loamy soil and the field measurement of water uptake by roots. I. Interpretation of water content and pressure profiles. Soil Science Society of America Proceedings. 32, 310–317.
Vachaud G, Dane JH
(2002) Instantaneous Profile. ‘Methods of soil analysis: Part 4, Physical methods’. SSA Book Series, Vol. 5. (Eds JH Dane, GC Topp, CC Jones)
pp. 937–962. (Soil Science Society of America: Madison, WI)
Vrugt JA,
Schoups G,
Hopmans JW,
Young C,
Wallender WW, Bouten W
(2004) Inverse modelling of large scale spatially distributed vadose zone properties using global optimization. Water Resources Research 40, W06503.
| Crossref | GoogleScholarGoogle Scholar |
Zurmuhl T, Durner W
(1998) Determination of parameters for bimodal hydraulic functions by inverse modelling. Soil Science Society of America Journal 62, 874–880.