Abstract
A technique has been developed for predicting the irregular advance pattern often observed as water spreads on the surface of the ground. The technique is a combination of stochastic sketching, potential theory, probability theory, and a mass balance equation in the form of an advance equation. The technique can be used on flat as well as sloping terrain and addresses any form of obstructions or constraints to the flow of the water. The stochastic sketching portion of the technique uses cellular automata with transition probability movement rules to sketch the dynamics of small volume water elements in the defined environment. Randomly selected small volume flow path segments are computed and plotted. The envelope of these segments defines the wetted area and the advance front. Several examples are presented showing the patterns produced for various situations.
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Rasmussen, W.O. Stochastic sketching of infiltration-advance isochrones. Stochastic Hydrol Hydraul 10, 209–229 (1996). https://doi.org/10.1007/BF01581464
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DOI: https://doi.org/10.1007/BF01581464