Keywords
group analysis of differential equations
similarity
fractals
diffusion
porous medium
Problemas inversos
análisis de grupo de ecuaciones diferenciales
similaridad
fractales
difusión
medios porosos
How to Cite
Abstract
Infiltration is physically described in order to model it as a diffusion stochastic process. Theorem M-B 1 is enunciated; whose main objective is the inverse diffusion problem. The theorem is demonstrated in the specific context of solution injectability, and it is applied to solve the inverse diffusion problem in the presence of Boltzmann’s group. The inverse problem of the similarity exponent is solved following group analysis methods. The dispersion of a water drop in a three-dimensional porous medium is applied; a result which in turn is applicable to drop irrigation.
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