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Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking pp 121–130Cite as

Richards Flow

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Part of the book series: Terrestrial Environmental Sciences ((TERENVSC))

Abstract

Introduced by Richards [1], the Richards’ equation is used to mathematically describe water movement in the unsaturated zone. Theoretically, the equation is also a sort of simplification of the two-phase flow equations of water-air processes in porous media under the constant gas pressure condition.

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References

  1. L.A. Richards. Capillary conduction of liquids through porous mediums. Physics A-J Gen. Appl. Phys., 1(1):318–333, 1931.

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  2. M.T. VanGenuchten and P.J. Wierenga. Mass-transfer studies in sorbing porous-media. 1. Analytical solutions. Soil Sci. Soc. Am. J., 40(4):473–480, 1976.

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  3. Y. Mualem. New model for predicting hydraulic conductivity of unsaturated porous-media. Water Resour. Res., 12(3):513–522, 1976.

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  4. J.K. Zhou. Differential transformation and its applications for electrical circuits. Huazhong University Press, 1986.

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  5. W.V. Abeele M.L. Wheeler and B.W. Burton. Geohydrology of bandelier tuff. Los Alamos National Laboratory report, LA-8962-MS, 1981.

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  6. H. S. Carslaw and J. C. Jaeger. Conduction of heat in solids. Oxford University Press, London, 2nd edition, 1959.

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Author information

Authors and Affiliations

  1. Helmholtz Centre for Environmental Research UFZ, Permoserstr. 15, D-04318, Leipzig, Germany

    Thomas Kalbacher, Xi Chen, Ying Dai, Jürgen Hesser, Xuerui Wang & Wenqing Wang

Authors
  1. Thomas Kalbacher
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  2. Xi Chen
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  3. Ying Dai
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  4. Jürgen Hesser
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  5. Xuerui Wang
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  6. Wenqing Wang
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Corresponding author

Correspondence to Thomas Kalbacher .

Editor information

Editors and Affiliations

  1. Environmental Informatics, Helmholtz Centre for Environm. Research UFZ, Leipzig, Germany

    Olaf Kolditz

  2. Federal Inst. for Geosciences and Natural Resources (BGR), Hannover, Germany

    Hua Shao

  3. Environmental Informatics, Helmholtz Centre for Environm. Research UFZ, Leipzig, Germany

    Wenqing Wang

  4. Institute of Geosciences, Christian-Albrechts-Universität zu Kiel, Kiel, Germany

    Sebastian Bauer

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© 2015 Springer International Publishing Switzerland

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Kalbacher, T., Chen, X., Dai, Y., Hesser, J., Wang, X., Wang, W. (2015). Richards Flow. In: Kolditz, O., Shao, H., Wang, W., Bauer, S. (eds) Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking. Terrestrial Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-11894-9_4

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