Articles | Volume 27, issue 7
https://doi.org/10.5194/hess-27-1565-2023
© 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-27-1565-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Prediction of the absolute hydraulic conductivity function from soil water retention data
Andre Peters
CORRESPONDING AUTHOR
Division of Soil Science and Soil Physics, Institute of Geoecology, Technische Universität Braunschweig, Braunschweig, Germany
Tobias L. Hohenbrink
Division of Soil Science and Soil Physics, Institute of Geoecology, Technische Universität Braunschweig, Braunschweig, Germany
now at: Deutscher Wetterdienst (DWD), Agrometeorological Research
Center, Braunschweig, Germany
Sascha C. Iden
Division of Soil Science and Soil Physics, Institute of Geoecology, Technische Universität Braunschweig, Braunschweig, Germany
Martinus Th. van Genuchten
Department of Earth Sciences, Utrecht University, Utrecht, the Netherlands
Department of Nuclear Engineering, Federal University of Rio de
Janeiro, Rio de Janeiro, Brazil
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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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.
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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.
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Cited articles
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.
Brooks, R. H. and Corey, A. T.: Hydraulic properties of porous media.
Hydrology Paper No. 3. Civil Engineering Department, Colorado State
University, Fort Collins, CO, https://hess.copernicus.org/articles/27/385/2023/hess-27-385-2023.pdf (last access: 14 April 2023), 1964.
Burdine, N.: Relative permeability calculations from pore size distribution
data, J. Petrol. Technol., 5, 71–78, 1953.
Carman, P. C.: Fluid flow through granular beds, Transactions, Institution of
Chemical Engineers, London, 15, 150–166, 1937.
Childs, E. C. and Collis-George, N.: The permeability of porous materials, Proc. R. Soc. Lon. Ser.-A, 201, 392–405, 1950.
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.: Predicting the unsaturated hydraulic conductivity using
multi-porosity water retention curves, in: Proceedings of the International Workshop, Indirect Methods for Estimating the Hydraulic Properties of Unsaturated Soils, edited by: Van Genuchten, M. Th., Leij, F. J., and Lund, L. J., Univ. of California, Riverside, 185–202, 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.
Flühler, H. and Roth, K.: Physik der ungesättigten Zone. Lecture
notes, Institute of Terrestrial Ecology, Swiss Federal Institute of
Technology Zurich, Switzerland, 2004.
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.
Ghanbarian, B., Hunt, A. G., Ewing, R. P., and Sahimi, M.: Tortuosity in
porous media: a critical review, Soil Sci. Soc. Am. J.,
77, 1461–1477, 2013.
Guarracino, L.: Estimation of saturated hydraulic conductivity Ks from the
van Genuchten shape parameter α, Water Resour. Res., 43, W11502, https://doi.org/10.1029/2006WR005766, 2007.
Gupta, S., Papritz, A., Lehmann, P., Hengl, T., Bonetti, S., and Or, D.:
Global Soil Hydraulic Properties dataset based on legacy site observations
and robust parameterization, Scientific Data, 9, 1–15, 2022.
Haverkamp, R., Zammit, C., Boubkraoui, F., Rajkai, K., Arrue, J. L., and
Heckmann, N.: GRIZZLY, Grenoble soil catalogue: Soil survey of field data
and description of particle-size, soil water retention and hydraulic
conductivity functions, Lab. d'Etude des Transferts en Hydrol. et en
Environ., Grenoble, France, 1997.
Hurvich, C. and Tsai, C.: Regression and time series model selection in
small samples, Biometrika, 76, 297–307, https://doi.org/10.1093/biomet/76.2.297,
1989.
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., 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 (1): 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.
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.
Kozeny, J.: Über kapillare Leitung des Wassers im Boden,
Sitzungsberichte Wiener Akademie, 136, 271–306, 1927.
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.
Kutílek, M. and Nielsen, D. R.: Soil hydrology: texbook for students
of soil science, agriculture, forestry, geoecology, hydrology, geomorphology
and other related disciplines, Catena Verlag, ISBN 9783923381265, 1994.
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.
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.
Millington, R. J. and Quirk, J. P.: Permeability of porous solids,
T. Faraday Soc., 57, 1200–1207, 1961.
Mishra, S. and Parker, J. C.: On the relation between saturated
conductivity and capillary retention characteristics, Groundwater, 28,
775–777, 1990.
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, 1976b.
Mualem, Y.: Hydraulic conductivity of unsaturated soils: Prediction and
formulas, Methods of Soil Analysis: Part 1 Physical and Mineralogical Methods, 5, 799–822, https://doi.org/10.2136/sssabookser5.1.2ed.c31, 1986.
Nasta, P., Vrugt, J. A., and Romano, N.: Prediction of the saturated
hydraulic conductivity from Brooks and Corey's water retention parameters, Water Resour. Res., 49, 2918–2925, 2013.
Nielsen, D. R., Kirkham, D., and Perrier, E. R.: Soil capillary
conductivity: Comparison of measured and calculated values, Soil Sci. Soc. Am. J., 24, 157–160,
1960.
Nielson, D. R., Biggar, J. W., and Erh, K. T.: Spatial variability of
field-measured soil-water properties, Hilgardia, 42, 215–259, 1973.
Nimmo, J. R.: The processes of preferential flow in the unsaturated zone,
Soil Sci. Soc. Am. J., 85, 1–27, 2021.
Pachepsky, Y., Scherbakov, R., Varallyay, G., and Rajkai, K.: On obtaining
soil hydraulic conductivity curves from water retention curves,
Pochvovedenie, 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, 2008a.
Peters, A. and Durner, W.: Simplified evaporation method for determining
soil hydraulic properties, J. Hydrol., 356, 147–162,
https://doi.org/10.1016/j.jhydrol.2008.04.016, 2008b.
Peters, A. and Durner, W.: Reply to comment by N. Shokri and D. Or on “A
simple model for describing hydraulic conductivity in unsaturated porous
media accounting for film and capillary flow”, Water Resour. Res., 46, W06802, https://doi.org/10.1029/2010WR009181, 2010.
Peters, A. and Durner, W.: SHYPFIT 2.0 User's Manual. Research Report.
Institut für Ökologie, Technische Universität Berlin, Germany, 2015.
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.: Revisiting the simplified
evaporation method: Identification of hydraulic functions considering vapor,
film and corner flow, J. Hydrol., 527, 531–542, https://doi.org/10.1016/j.jhydrol.2015.05.020, 2015.
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.
Reck, A., Jackisch, C., Hohenbrink, T. L., Schröder, B., Zangerlé,
A., and van Schaik, L.: Impact of Temporal Macropore Dynamics on Infiltration: Field Experiments and Model Simulations, Vadose Zone J., 17, 170147, https://doi.org/10.2136/vzj2017.08.0147, 2018.
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., Šimůnek, 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.
Schaap, M. G. and Leij, F. J.: Improved prediction of unsaturated hydraulic
conductivity with the Mualem-van Genuchten model, Soil Sci. Soc. Am. J., 64, 843–851, 2000.
Schaap, M. G. and Van Genuchten, M. Th.: A modified Mualem–van Genuchten
formulation for improved description of the hydraulic conductivity near
saturation, Vadose Zone J., 5, 27–34, 2006.
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.
Schindler, U.: Ein Schnellverfahren zur Messung der Wasserleitfähigkeit
im teilgesättigten Boden an Stechzylinderproben, Arch. Acker-u.
Pflanzenbau u. Bodenkd. Berlin, 24, 1–7, 1980.
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.
Usowicz, B. and Lipiec, J.: Spatial variability of saturated hydraulic
conductivity and its links with other soil properties at the regional scale,
Sci. Rep., 11, 1–12, 2021.
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 Schaik, L., Hendriks, R. F. A., and Jvan Dam, J.: Parameterization of
macropore flow using dye-tracer infiltration patterns in the SWAP model,
Vadose Zone J., 9, 95–106, https://doi.org/10.2136/vzj2009.0031, 2010.
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.
Executive editor
The study proposes a new approach to characterize soil hydraulic functions. The novel approach strongly improves simulation results. This is a significant advancement of vadose zone hydrology.
The study proposes a new approach to characterize soil hydraulic functions. The novel approach...
Short summary
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.
The soil hydraulic conductivity function is usually predicted from the water retention curve...