Abstract
A rapid numerical method for the horizontal flow of water is presented, based on the approximation for conductivity k = k 0 exp (αψ). A simple expression for the velocity of flow is obtained, which produces accurate solutions to horizontal infiltration problems even with very large time and length steps. The method is compared with previous solutions, including the much studied Yolo light clay infiltration problems. These examples are used to demonstrate the accuracy and economy (in terms of the time and necessary computer power) of the solution. The method is accurate for any choice of length step, provided that the time step is below a certain limit which is related to the length step. An expression for estimating the maximum permissible time step is presented and its use demonstrated via one of the examples.
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