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Finite Difference Model of Unsaturated Soil Water Flow Using Chebyshev Polynomials of Soil Hydraulic Functions and Chromatographic Displacement of Rainfall  

Ro, Hee-Myong (School of Agricultural Biotechnology, College of Agriculture and Life Sciences, Seoul National University)
Yoo, Sun-Ho (School of Agricultural Biotechnology, College of Agriculture and Life Sciences, Seoul National University)
Han, Kyung-Hwa (School of Agricultural Biotechnology, College of Agriculture and Life Sciences, Seoul National University)
Lee, Seung-Heon (Rural Research Institute, Korea Agricultural and Rural Infrastructure Corporation)
Lee, Goon-Taek (National Instrumentation Center for Environmental Management, Seoul National University)
Yun, Seok-In (School of Agricultural Biotechnology, College of Agriculture and Life Sciences, Seoul National University)
Noh, Young-Dong (School of Agricultural Biotechnology, College of Agriculture and Life Sciences, Seoul National University)
Publication Information
Korean Journal of Soil Science and Fertilizer / v.36, no.4, 2003 , pp. 181-192 More about this Journal
Abstract
We developed a mathematical simulation model to portray the vertical distribution of soil water from the measured weather data and the known soil hydraulic properties, and then compared simulation results with the periodically measured soil water profiles obtained on Jungdong sandy loam to verify the model, In this model, we solved potential-based Richards' equation by the implicit finite difference method superimposed on the predictor-corrector scheme. We presumed that: soil hydraulic properties are homogeneous; soil water flows isothermally; hysteresis is not considered; no vapor flows; no heat transfers into the soil profiles; and water added to soil surface is distributed along the soil profile following partial displacement principle. The input data were broadly classified into two groups: (1) daily weather data such as rainfall, maximum and minimum air temperatures, relative humidity and solar radiation and (2) soil hydraulic data to approximate unsaturated hydraulic conductivity and water retention. Each hydraulic polynomial function approximated using the Chebyshev polynomial and least square difference technique in tandem showed a fairly good fit of the given set of data. Vertical distribution of soil water as approximations to the Richards' equation subject to changing surface and phreatic boundaries was solved numerically during 53 days with a comparatively large time increment, and this pattern agreed well with field neutron scattering data, except for the surface 0.1 m slab.
Keywords
Chebyshev polynomial; Neutron scattering; Partial displacement; Simulation; Soil Water Redistribution;
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