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Probabilistic solution to stochastic infiltrated flow equation

  • Water Engineering
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Abstract

Unsaturated flow with heterogeneous soil surfaces in the field scale is an outstanding issue in hydrologic modeling. The objective of this study is to develop and solve the upscaling conservation equation, which has the form of the Fokker-Planck equation. In this study, the impact of areal heterogeneity of soil hydraulic parameter on soil ensemble behavior during constant rainfall was examined. Field variability is assumed to take place in the horizontal plane. The results from the upscaling of one-dimensional vertical unsaturated flow model are compared with extensive sets of Monte-Carlo simulations for several degrees of the heterogeneity in soil surfaces. The application results of the upscaling model reveal that the upscaling model provides an adequate estimate of field scale soil moisture behavior in terms of its probability density distribution as well as its ensemble behavior.

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Authors and Affiliations

  1. Department of Environmental Policy, Gyeonggi Research Institute, Korea

    Sangdan Kim (Member, Associate Researcher)

  2. Department of Civil and Environmental Engineering, Korea University, Korea

    Su Hyung Jang Ph.D. Candidate (Member) & Yong Na m Yoon

  3. Department of Environmental System Engineering, Korea University, Korea

    Jaeyoung Yoon (Member. Assistant Professor)

Authors
  1. Sangdan Kim
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  2. Su Hyung Jang Ph.D. Candidate
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  3. Yong Na m Yoon
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  4. Jaeyoung Yoon
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Kim, S., Jang, S.H., Yoon, Y.N.m. et al. Probabilistic solution to stochastic infiltrated flow equation. KSCE J Civ Eng 8, 651–662 (2004). https://doi.org/10.1007/BF02823556

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  • DOI: https://doi.org/10.1007/BF02823556

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