Abstract
A generalized version of the Boussinesq equation is solved, using a singular perturbation technique. Flow takes place in radial directions into an initially-dry homogeneous isotropic soil under the assumption of a constant injection rate at the origin. Explicit formulae are derived for the location of the advancing wetting front and the free surface height (or pressure head). Analytical results are compared graphically with a numerical finite-element solution. Excellent agreement is obtained between the results of the two methods.
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