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Discrete stability of the Differential System Method evaluated with geostatistical techniques |
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| Authors: | M. Giudici F. Delay G. de Marsily G. Parravicini G. Ponzini A. Rosazza |
| Affiliation: | (1) Università degli Studi di Milano, Dipartimento di Scienze della Terra, Sezione di Geofisica, Milano, Italy, IT;(2) Université Paris VI, Laboratoire de Géologie Appliquée, Paris, France, FR;(3) Università degli Studi di Milano, Dipartimento di Fisica, Milano and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Italy, IT;(4) Scuola Universitaria Professionale della Svizzera Italiana, Istituto di Scienze della Terra, Cadenazzo, Switzerland, CH |
| Abstract: | The Differential System Method (DSM) permits identification of the physical parameters of finite-difference groundwater flow models in a confined aquifer when piezometric head and source terms are known at each point of the finite-difference lattice for at least two independent flow situations for which the hydraulic gradients are not parallel. Since piezometric head data are usually few and sparse, interpolation of the measured data onto a regular grid can be performed with geostatistical techniques. We apply kriging to the sparse data of a synthetic aquifer to evaluate the stability of the DSM with respect to uncorrelated measurement errors and interpolation errors. The numerical results show that the DSM is stable. |
| Keywords: | : groundwater flow inverse problems stability geostatistical interpolation kriging. |
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