Some Considerations about Uniqueness in the Identification of Distributed Transmissivities of a Confined Aquifer
The identification of the transmissivity of a confined aquifer can be achieved by the solution of a generally ill-posed inverse problem when measurements of piezometric head and source term are available. Herewith some classical results are considered; the most promising approach consists of the simultaneous utilisation of several sets of data, namely piezometric heads and source terms relative to different steady hydraulic conditions of the aquifer. The main advantage of this approach is that the required data are the easiest to measure in hydrogeological field applications.
Two discrete formulations of the inverse problem, within the framework of finite difference schemes, are reviewed; the first one considers the internode transmissivities as the unknowns of the inverse problem, whereas the second considers the node transmissivities as unknowns. The relationship between internode and node transmissivities together with advantages and drawbacks of these two formulations of the inverse problem are discussed.
KeywordsInverse Problem Source Term Finite Difference Scheme Vertical Electrical Sounding Aquifer Parameter
Unable to display preview. Download preview PDF.
- 10.Parravicini, G., Giudici, M., Morossi, G. and G. Ponzini: Minimal assignment of phenomenological coefficients and uniqueness for an inverse problem, Preprint IFUM 480/FT, Dipartimento di Fisica, Università di Milano, Milan, Italy, (1994).Google Scholar
- 11.Giudici, M., Morossi, G., Parravicini, G. and G. Ponzini: A new method for the identification of distributed transmissivities, Preprint IFUM 481/FT, Dipartimento di Fisica, Università di Milano, Milan, Italy, (1994).Google Scholar
- 12.Samarskij, A. and V. Andreev: Méthodes aux différences pour equation elliptiques, Mir, Moskow 1978.Google Scholar
- 14.Scarascia, S. and G. Ponzini: An approximate solution for the inverse problem in hydraulics, L’Energia Elettrica, 49 (1972), 518–531.Google Scholar
- 17.Emsellem, Y. and G. de Marsily: Reply to “Comments on ‘An authomatic solution for the inverse problem’ by Y. Emsellem and G. de Marsily” by D. Kleinecke, Water Resour. Res., 8 (1972), 1130–1131.Google Scholar