ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 70, 1 (2001)
pp. 1-13
DIFFUSION MODELS AND THEIR ACCELERATED SOLUTION
ON THE SOLUTION OF SOME INVERSE PROBLEMS
D. CONSTALES and J. KACUR
Abstract.
In this paper we discuss the numerical modelling of two inverse problems in porous media flow. In the first problem, we determine the soil parameters that occur in the retention and hydraulic permeability curves of the Van Genuchten ansatz for Richard's equation. In the second problem we determine the hydraulic permeability, longitudinal dispersivity and adsorption isotherms using the measurements in a single injection-extraction well.
AMS subject classification.
Primary 35R35, 49M15, 49N50
Keywords.
Porous media equation, inverse problems, Richard's equation
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