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A platform for research: civil engineering, architecture and urbanism
Utilizing a Velocity Potential Approach to Linearize Richard's Equation
Unsaturated flow modeling is made challenging by the nonlinear dependence on matric suction by both the hydraulic conductivities and the degree of saturation. This paper utilizes a particular velocity potential approach to simply Richard's equation without resorting to perturbation methods or boundary condition assumptions. Utilizing well justified approximations of typical unsaturated soil property relationships, a linear equation for three-dimensional steady state unsaturated flow is derived. Extension of the approach to describe unsteady conditions reduces the nonlinearity of the time dependence. As an example, the derived model is used to develop an analytical solution of unsaturated flow within a trench excavation. The example results are discussed; he overall model implications are presented; and avenues of further research are suggested.
Utilizing a Velocity Potential Approach to Linearize Richard's Equation
Unsaturated flow modeling is made challenging by the nonlinear dependence on matric suction by both the hydraulic conductivities and the degree of saturation. This paper utilizes a particular velocity potential approach to simply Richard's equation without resorting to perturbation methods or boundary condition assumptions. Utilizing well justified approximations of typical unsaturated soil property relationships, a linear equation for three-dimensional steady state unsaturated flow is derived. Extension of the approach to describe unsteady conditions reduces the nonlinearity of the time dependence. As an example, the derived model is used to develop an analytical solution of unsaturated flow within a trench excavation. The example results are discussed; he overall model implications are presented; and avenues of further research are suggested.
Utilizing a Velocity Potential Approach to Linearize Richard's Equation
Travis, Brent (author)
World Environmental And Water Resources Congress 2012 ; 2012 ; Albuquerque, New Mexico, United States
2012-05-17
Conference paper
Electronic Resource
English
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