Abstract

The steady two- and three-dimensional flow from saturated to unsaturated soil is examined. Geometries are relevant with respect to pits, trenches and irrigation furrows. Simplified analytical approximations are made by matching solutions for lines, cylinders, points and spheres in saturated soils to solutions for buried lines and points in unsaturated soils. The simplifying assumption is made that the unsaturated conductivity is exponential with the pressure head, i.e., K= K 0exp( ah) with K 0 and α constants. Regression relationships of log (αw)+0.13[ log(αw)] 2 and ( q K 0w 2 )=1.24−0.14 log(αw)+0.22[ log(αw)] 2 were found valid for the cylinder and hemisphere, respectively, with q the appropriate inflow rate and w the semiradius.

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