Probabilistic solution to stochastic infiltrated flow equation View Full Text


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Article Info

DATE

2004-11

AUTHORS

Sangdan Kim, Su Hyung Jang, Yong Na m Yoon, Jaeyoung Yoon

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. More... »

PAGES

651-662

References to SciGraph publications

  • 1996-12. On the LambertW function in ADVANCES IN COMPUTATIONAL MATHEMATICS
  • 1986. Spatial Heterogeneity and Scale in the Infiltration Response of Catchments in SCALE PROBLEMS IN HYDROLOGY
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