Articles | Volume 27, issue 24
https://doi.org/10.5194/hess-27-4579-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-27-4579-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
20 Dec 2023
Research article |
| 20 Dec 2023
| 20 Dec 2023
Prediction of absolute unsaturated hydraulic conductivity – comparison of four different capillary bundle models
Andre Peters
CORRESPONDING AUTHOR
Division of Soil Science and Soil Physics, Institute of Geoecology, Technische Universität Braunschweig, Braunschweig, Germany
now at: Thünen Institute of Agricultural Technology, Braunschweig, Germany
Sascha C. Iden
Division of Soil Science and Soil Physics, Institute of Geoecology, Technische Universität Braunschweig, Braunschweig, Germany
Wolfgang Durner
Division of Soil Science and Soil Physics, Institute of Geoecology, Technische Universität Braunschweig, Braunschweig, Germany
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The article describes a collection of 572 data sets of soil water retention and unsaturated hydraulic conductivity data measured with state-of-the-art laboratory methods. Furthermore, the data collection contains basic soil properties such as soil texture and organic carbon content. We expect that the data will be useful for various important purposes, for example, the development of soil hydraulic property models and related pedotransfer functions.
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The soil hydraulic conductivity function is usually predicted from the water retention curve (WRC) with the requirement of at least one measured conductivity data point for scaling the function. We propose a new scheme of absolute hydraulic conductivity prediction from the WRC without the need of measured conductivity data. Testing the new prediction with independent data shows good results. This scheme can be used when insufficient or no conductivity data are available.
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The article describes a collection of 572 data sets of soil water retention and unsaturated hydraulic conductivity data measured with state-of-the-art laboratory methods. Furthermore, the data collection contains basic soil properties such as soil texture and organic carbon content. We expect that the data will be useful for various important purposes, for example, the development of soil hydraulic property models and related pedotransfer functions.
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This study proposes a model to predict soil hydraulic properties (SHPs) of constructed Technosols for urban greening. The SHPs are determined by the Technosol composition and describe their capacity to store and supply water to plants. The model predicts SHPs of any binary mixture based on the SHPs of its two pure components, facilitating simulations of flow and transport processes before production. This can help create Technosols designed for efficient urban greening and water management.
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Measurements of soil water retention properties play an important role in a variety of societal issues that depend on soil water conditions. However, there is little concern about the consistency of these measurements between laboratories. We conducted an interlaboratory comparison to assess the reproducibility of the measurement of the soil water retention curve. Results highlight the need to harmonize and standardize procedures to improve the description of unsaturated processes in soils.
Andre Peters, Tobias L. Hohenbrink, Sascha C. Iden, Martinus Th. van Genuchten, and Wolfgang Durner
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The soil hydraulic conductivity function is usually predicted from the water retention curve (WRC) with the requirement of at least one measured conductivity data point for scaling the function. We propose a new scheme of absolute hydraulic conductivity prediction from the WRC without the need of measured conductivity data. Testing the new prediction with independent data shows good results. This scheme can be used when insufficient or no conductivity data are available.
Mahyar Naseri, Sascha C. Iden, and Wolfgang Durner
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We simulated stony soils with low to high volumes of rock fragments in 3D using evaporation and multistep unit-gradient experiments. Hydraulic properties of virtual stony soils were identified under a wide range of soil matric potentials. The developed models for scaling the hydraulic conductivity of stony soils were evaluated under unsaturated flow conditions.
Cited articles
Alexander, L. and Skaggs, R. W.: Predicting unsaturated hydraulic conductivity from the soil water characteristic, T. ASAE, 29, 176–184, https://doi.org/10.13031/2013.30123, 1986.
Assouline, S. and Or, D.: Conceptual and parametric representation of soil hydraulic properties: A review, Vadose Zone J., 12, 1–20, https://doi.org/10.2136/vzj2013.07.0121, 2013.
Bear, J.: Dynamics of Fluids in Porous Media, Elsevier, New York, ISBN 0486131807, 1972.
Burdine, N.: Relative permeability calculations from pore size distribution data, J. Petrol. Technol., 5, 71–78, 1953.
Childs, E. C. and Collis-George, N.: The permeability of porous materials, Proc. R. Soc. Lon. Ser.-A, 201, 392–405, 1950.
de Rooij, G. H.: Technical note: A sigmoidal soil water retention curve without asymptote that is robust when dry-range data are unreliable, Hydrol. Earth Syst. Sci., 26, 5849–5858, https://doi.org/10.5194/hess-26-5849-2022, 2022.
de Rooij, G. H., Mai, J., and Madi, R.: Sigmoidal water retention function with improved behaviour in dry and wet soils, Hydrol. Earth Syst. Sci., 25, 983–1007, https://doi.org/10.5194/hess-25-983-2021, 2021.
Duan, Q., Sorooshian, S., and Gupta, V.: Effective and efficient global optimization for conceptual rainfall-runoff models, Water Resour. Res., 28, 1015–1031, 1992.
Durner, W.: Hydraulic conductivity estimation for soils with heterogeneous pore structure, Water Resour. Res., 30, 211–222, https://doi.org/10.1029/93WR02676, 1994.
Fredlund, D. G. and Xing, A. Q.: Equations for the soil water characteristic curve, Can. Geotech. J., 31, 521–532, https://doi.org/10.1139/t94-061, 1994.
Gates, J. I. and Lietz, W. T.: Relative permeabilities of California cores by the capillary-pressure method. In Drilling and production practice, 285–298, Am. Petrol. Inst., New York, 1950.
Hoffmann-Riem, H., van Genuchten, M. Th., and Flühler, H.: General model for the hydraulic conductivity of unsaturated soils, in: Proceedings of the International Workshop on Characterization and Measurement of the Hydraulic Properties of Unsaturated Porous Media, edited by: van Genuchten, M. Th., Leij, F. J., and Wu, L., 31–42, Univ. of California, Riverside, California, 1999.
Iden, S. and Durner, W.: Comment on “Simple consistent models for water retention and hydraulic conductivity in the complete moisture range” by A. Peters, Water Resour. Res., 50, 7530–7534, https://doi.org/10.1002/2014WR015937, 2014.
Iden, S. C., Peters, A., and Durner, W.: Improving prediction of hydraulic conductivity by constraining capillary bundle models to a maximum pore size, Adv. Water Resour., 85, 86–92, 2015.
Iden, S. C., Blöcher, J. R., Diamantopoulos, E., and Durner, W.: Capillary, Film, and Vapor Flow in Transient Bare Soil Evaporation (1): Identifiability Analysis of Hydraulic Conductivity in the Medium to Dry Moisture Range, Water Resour. Res., 57, e2020WR028513, https://doi.org/10.1029/2020WR028513, 2021a.
Iden, S. C., Diamantopoulos, E., and Durner, W.: Capillary, Film, and Vapor Flow in Transient Bare Soil Evaporation (2): Experimental Identification of Hydraulic Conductivity in the Medium to Dry Moisture Range, Water Resour. Res., 57, e2020WR028514. https://doi.org/10.1029/2020WR028514, 2021b.
Ippisch, O., Vogel, H.-J., and Bastian, P.: Validity limits for the van Genuchten–Mualem model and implications for parameter estimation and numerical simulation, Adv. Water Resour., 29, 1780–1789, 2006.
Jackson, R. D.: On the calculation of hydraulic conductivity, Soil Sci. Soc. Am. J., 36, 380–382, 1972.
Jackson, R. D., Reginato, R. J., and Van Bavel, C. H. M.: Comparison of measured and calculated hydraulic conductivities of unsaturated soils, Water Resour. Res., 1, 375–380, 1965.
Jarvis, N. J.: A review of non-equilibrium water flow and solute transport in soil macropores: Principles, controlling factors and consequences for water quality, Eur. J. Soil. Sci., 58, 523–546, 2007.
Kirste, B., Iden, S. C., and Durner, W.: Determination of the soil water retention curve around the wilting point: Optimized protocol for the dewpoint method, Soil Sci. Soc. Am. J., 83, 288–299, 2019.
Kosugi, K.: Lognormal distribution model for unsaturated soil hydraulic properties, Water Resour. Res., 32, 2697–2703, 1996.
Kosugi, K.: General model for unsaturated hydraulic conductivity for soils with lognormal pore-size distribution, Soil Sci. Soc. Am. J., 63, 270–277, 1999.
Kunze, R. J., Uehara, G., and Graham, K.: Factors important in the calculation of hydraulic conductivity, Soil Sci. Soc. Am. J., 32, 760–765, 1968.
Lebeau, M. and Konrad, J.-M.: A new capillary and thin film flow model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 46, W12554, https://doi.org/10.1029/2010WR009092, 2010.
Li, P., Zha, Y., Zuo, B., and Zhang, Y.: A family of soil water retention models based on sigmoid functions, Water Resour. Res., 59, e2022WR033160, https://doi.org/10.1029/2022WR033160, 2023.
Madi, R., de Rooij, G. H., Mielenz, H., and Mai, J.: Parametric soil water retention models: a critical evaluation of expressions for the full moisture range, Hydrol. Earth Syst. Sci., 22, 1193–1219, https://doi.org/10.5194/hess-22-1193-2018, 2018.
Marshall, T. J.: A relation between permeability and size distribution of pores, J. Soil Sci., 9, 1–8, 1958.
Millington, R. J. and Quirk, J. P.: Permeability of porous solids, T. Faraday Soc., 57, 1200–1207, 1961.
Mualem, Y.: A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12, 513–522, 1976a.
Mualem, Y.: A catalog of the hydraulic properties of unsaturated soils (Tech. Rep), Technion – Israel Institute of Technology [data set], 119 pp., 1976b.
Mualem, Y.: Hydraulic conductivity of unsaturated soils: Prediction and formulas, Method. Soil Anal. 1, 5, 799–822, https://doi.org/10.2136/sssabookser5.1.2ed.c31, 1986.
Mualem, Y. and Dagan, G.: Hydraulic conductivity of soils: Unified approach to the statistical models, Soil Sci. Soc. Am. J., 42, 392–395, https://doi.org/10.2136/sssaj1978.03615995004200030003x, 1978.
Nimmo, J. R. and Akstin, K. C.: Hydraulic conductivity of a sandy soil at low water content after compaction by various methods, Soil Sci. Soc. Am. J., 52, 303–310, 1988.
Pachepsky, Y., Scherbakov, R., Varallyay, G., and Rajkai, K.: On obtaining soil hydraulic conductivity curves from water retention curves, Pochvovedenie [data set], 10, 60–72, 1984 (in Russian).
Peters, A.: Simple consistent models for water retention and hydraulic conductivity in the complete moisture range, Water Resour. Res., 49, 6765–6780, https://doi.org/10.1002/wrcr.20548, 2013.
Peters, A.: Reply to comment by S. Iden and W. Durner on “Simple consistent models for water retention and hydraulic conductivity in the complete moisture range”, Water Resour. Res., 50, 7535–7539, https://doi.org/10.1002/2014WR016107, 2014.
Peters, A. and Durner, W.: A simple model for describing hydraulic conductivity in unsaturated porous media accounting for film and capillary flow, Water Resour. Res., 44, W11417, https://doi.org/10.1029/2008WR007136, 2008.
Peters, A., Durner, W., and Wessolek, G.: Consistent parameter constraints for soil hydraulic functions, Adv. Water Resour., 34, 1352–1365, 2011.
Peters, A., Iden, S. C., and Durner, W.: Local Solute Sinks and Sources Cause Erroneous Dispersion Fluxes in Transport Simulations with the Convection–Dispersion Equation, Vadose Zone J., 18, 190064, https://doi.org/10.2136/vzj2019.06.0064, 2019.
Peters, A., Hohenbrink, T. L., Iden, S. C., and Durner, W.: A simple model to predict hydraulic conductivity in medium to dry soil from the water retention curve, Water Resour. Res., 57, e2020WR029211, https://doi.org/10.1029/2020WR029211, 2021.
Peters, A., Hohenbrink, T. L., Iden, S. C., van Genuchten, M. Th., and Durner, W.: Prediction of the absolute hydraulic conductivity function from soil water retention data, Hydrol. Earth Syst. Sci., 27, 1565–1582, https://doi.org/10.5194/hess-27-1565-2023, 2023.
Purcell, W. R.: Capillary pressures-their measurement using mercury and the calculation of permeability therefrom, J. Petrol. Technol., 1, 39-48, https://doi.org/10.2118/949039-G, 1949.
Romano, N., Nasta, P., Severino, G., and Hopmans, J. W.: Using Bimodal Lognormal Functions to Describe Soil Hydraulic Properties, Soil Sci. Soc. Am. J., 75, 468–480, https://doi.org/10.2136/sssaj2010.0084, 2011.
Saito, H., Šimunek, J., and Mohanty, B. P.: Numerical analysis of coupled water, vapor, and heat transport in the vadose zone, Vadose Zone J., 5, 784–800, 2006.
Sarkar, S., Germer, K., Maity, R., and Durner, W.: Measuring near-saturated hydraulic conductivity of soils by quasi unit-gradient percolation – 2. Application of the methodology, J. Plant Nutr. Soil Sc., 182, 535–540, https://doi.org/10.1002/jpln.201800383, 2019.
Schelle, H., Heise, L., Jänicke, K., and Durner, W.: Water retention characteristics of soils over the whole moisture range: A comparison of laboratory methods, Eur. J. Soil. Sci., 64, 814–821, 2013.
Schneider, M. and Goss, K.-U.: Prediction of the water sorption isotherm in air dry soils, Geoderma, 170, 64–69, https://doi.org/10.1016/j.geoderma.2011.10.008, 2012.
Tuller, M. and Or, D.: Hydraulic conductivity of variably saturated porous media: Film and corner flow in angular pore space, Water Resour. Res., 37, 1257–1276, https://doi.org/10.1029/2000WR900328, 2001.
Tokunaga, T. K.: Hydraulic properties of adsorbed water films in unsaturated porous media, Water Resour. Res., 45, W06415, https://doi.org/10.1029/2009WR007734, 2009.
van Genuchten, M. Th.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892–898, 1980.
van Genuchten, M. Th. and Nielsen, D. R.: On describing and predicting the hydraulic properties of unsaturated soils. Ann. Geophys., 3, 615–628, 1985.
Vogel, T., Van Genuchten, M. T., and Cislerova, M.: Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions, Adv. Water Resour., 24, 133–144, 2000.
Weber, T. K., Durner, W., Streck, T., and Diamantopoulos, E.: A modular framework for modeling unsaturated soil hydraulic properties over the full moisture range, Water Resour. Res., 55, 4994–5011, 2019.
Zhang, Z. F.: Soil water retention and relative permeability for conditions from oven-dry to full saturation, Vadose Zone J., 10, 1299–1308, https://doi.org/10.2136/vzj2011.0019, 2011.
Short summary
While various expressions for the water retention curve are commonly compared, the capillary conductivity model proposed by Mualem is widely used but seldom compared to alternatives. We compare four different capillary bundle models in terms of their ability to fully predict the hydraulic conductivity. The Mualem model outperformed the three other models in terms of predictive accuracy. Our findings suggest that the widespread use of the Mualem model is justified.
While various expressions for the water retention curve are commonly compared, the capillary...
