Author(s)

Franz Konecny

Abstract

In this paper we are concerned with the identification of the hydraulic con- ductivity field on the basis of noisy head observations. An augmented Kalman smoother is applied to the stochastic flow equation. The imple- mentation 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 optimal estimate of the augmented state. We discuss finite dimensional approximations of the smoothing problem and propose an EM algorithm for the estimation of the conductivity parameters. 1 Introduction Groundwater models are used as tools for decision making in water resources managem

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