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On the solution of some inverse problems in infiltration. (English) Zbl 0978.35094
Summary: We discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE solver LSODA. Several numerical experiments are included.
MSC:
35R30 Inverse problems for PDEs
76S05 Flows in porous media; filtration; seepage
49N45 Inverse problems in optimal control
49M15 Newton-type methods
Software:
LSODA
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