A new model for predicting the hydraulic conductivity of unsaturated porous media
Abstract
A simple analytic model is proposed which predicts the unsaturated hydraulic conductivity curves by using the moisture content‐capillary head curve and the measured value of the hydraulic conductivity at saturation. It is similar to the Childs and Collis‐George (1950) model but uses a modified assumption concerning the hydraulic conductivity of the pore sequence in order to take into account the effect of the larger pore section. A computational method is derived for the determination of the residual water content and for the extrapolation of the water content‐capillary head curve as measured in a limited range. The proposed model is compared with the existing practical models of Averjanov (1950), Wyllie and Gardner (1958), and Millington and Quirk (1961) on the basis of the measured data of 45 soils. It seems that the new model is in better agreement with observations.
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The model implemented the soil hydraulic functions proposed by Van Genuchten and Mualem to describe the soil water retention curve.
“The model implemented the soil hydraulic functions proposed by Van Genuchten and Mualem [46,47] to describe the soil water retention curve using the following formulae, Equations ( 4)-(8):”
From Application of Biochar in Stormwater Treatment: Experimental and Modeling Investigation (2021) · cites this paper as [46]
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“The model implemented the soil hydraulic functions proposed by Van Genuchten and Mualem [46,47] to describe the soil water retention curve using the following formulae, Equations (4)–(8): θ(h) = { θr + θs−θr[ 1+|αh|n ]m } h < 0 (4) θ(h)= θs h ≥ 0 (5) K(h)= KsSe [ 1− ( 1− Se 1 m )m]2 (6) m = 1− 1 n n > 1 (7) Se = θ− θr…”
Method
- Authors
- Mualem, Y.
- Corresponding author
- Mualem, Yechezkel
- Venue
- Water Resources Research
- Publisher
- American Geophysical Union (AGU)
- Published
- 1976-06
- Volume
- 12
- Issue
- 3
- Pages
- 513-522
- ISSN
- 0043-1397 (ISSN-L)
- 1944-7973
- OpenAlex
- W2048568378
- Cited by
- 8,300
- References
- 0
- Citations by year
- 2026: 388 · 2025: 414 · 2024: 430 · 2023: 481 · 2022: 535 · 2021: 475 · 2020: 402 · 2019: 376 · 2018: 359 · 2017: 335 · 2016: 338 · 2015: 284 · 2014: 314 · 2013: 294 · 2012: 259
- FWCI
- 22.97
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Water Resources Research (publishedVersion)
- Topics
- Physical Sciences › Engineering › Civil and Structural Engineering › Soil and Unsaturated Flow
- Physical Sciences › Environmental Science › Environmental Engineering › Groundwater flow and contamination studies
- Physical Sciences › Engineering › Computational Mechanics › Heat and Mass Transfer in Porous Media
- Keywords
- unsaturated hydraulic conductivity, unsaturated porous media, residual moisture, pore size distribution, analytical model, soil water retention
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