Analytical solution for one-dimensional drainage: water stored in a fixed depth
1995
Parkin, G.W. | Warrick, A.W. | Elrick, D.E. | Kachanoski, R.G.
We present a quasi-analytical solution for drainage of water from a fixed depth of soil near the surface of a deeply wetted profile. The solution is an application of a previously published nonlinear constant rate rainfall infiltration solution and includes capillary and gravity effects. The solution is sensitive to its three hydrologic parameters (including a macroscopic capillary length and the saturated hydraulic conductivity) and is numerically stable for a wide range of parameter values. We develop an analytical form of the hydraulic gradient and flux density of water during drainage at any depth and time using the same drainage solution. The duration of unit hydraulic gradient is strongly dependent on the soil's hydrologic parameters. Generalized forms of the water storage, water content, and flux density given here can show the effects of an infinite combination of parameter values in single plots of each dimensionless form.
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