On the Kalman smoother approach to the stochastic inverse problem of groundwater hydrology
Franz Konecny & Franz Konecny
Key words: Inverse problems, distributed parameter systems, infinite dimensional
Kalman smoother, EM algorihm.
In this presentation we are concerned with the estimation of the hydraulic
conductivity profile on the basis of noisy observations of hydraulic heads. An
augmented Kalman smoother is applied to the stochastic flow equation. The
implementation of the smoother requires the solution of a Riccati type partial
differential equation for the smoother covariance and a stochastic partial
differential equation to obtain the...
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