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Mathematical Simulation of Water Movement through Unsaturated Nonhomogeneous Soils
Author(s) -
Wang Flora Chu,
Lakshminarayana V.
Publication year - 1968
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1968.03615995003200030022x
Subject(s) - nonlinear system , soil water , infiltration (hvac) , mathematics , partial differential equation , work (physics) , wetting , boundary value problem , drainage , diffusion , water flow , mechanics , richards equation , mathematical analysis , soil science , geotechnical engineering , environmental science , geology , physics , thermodynamics , ecology , quantum mechanics , biology
The general states of flow of water through unsaturated nonhomogeneous soils have been simulated by the nonlinear diffusion equation. A numerical technique is developed and programed for the IBM 7094 to solve the explicit‐implicit difference scheme analogue of the nonlinear partial differential equation of parabolic‐type. The data utilized in this study for the simulated soil profile are obtained from the experimental work of Nielsen et al. (1964) for vertical drainage and infiltration. Computed cumulative loss and average rate are in reasonable agreement with their field measurements. The results indicate that the average rate of drying and wetting are controlled largely by the physical properties of the soil and their corresponding boundary conditions.