A solution to the inverse problem in groundwater hydrology based on Kalman filtering

Journal of Hydrology

Volumn 175, Issue 1-4, 1996, Pages 567-581

  Ferraresi, M ^a,c   Todini, E ^a   Vignoli, R ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b ET and P   (Italy)

^c UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFER; GROUNDWATER; HYDROLOGY; INVERSE PROBLEM; KALMAN FILTERING;

LIBYA;

EID: 0029752401     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(96)80025-4     Document Type: Article

References (17)

1. Bear, J., 1979. Hydraulics of Groundwater. McGraw-Hill, New York.
2. Cooley, R.L., 1977. A method of estimating parameters and assessing reliability for models of steady state groundwater flow. 1: Theory and numerical properties. Water Resour. Res., 13(2).
3. Cooley, R.L., 1982. Incorporation of prior information into nonlinear regression groundwater flow models, 1. Theory. Water Resour. Res., 18(4).
4. Cooley, R.L., 1983. Incorporation of prior information into nonlinear regression groundwater flow models, 2. Applications. Water Resour. Res., 19(3).
5. Ferraresi, M. and Marinelli, A., 1996. An extended formulation of the integrated finite difference method for groundwater flow and transport. J. Hydrol., 175: 453-471.
6. Gelb, A. (Editor), 1974. Applied Optimal Estimation. MIT Press, Cambridge, MA.
7. Jahns, H.O., 1966. A rapid method for obtaining a two dimensional reservoir description from well pressure response data. Soc. Pet. Eng. Trans., 237.
8. Kruger, W.D., 1961. Determining areal permeability distribution by calculation. J. Pet. Technol., July.
9. Matheron, G., 1970. La théorie des variables régionalisées et ses applications. Ecole de Mines, Fontainebleu, Cahiers du CMH, Fasc. 5.
10. Narasimhan, T.N., 1984. Formulation of numerical equations. In: J. Bear and Y. Corapcioglu (Editors), Fundamentals of Transport Phenomena in Porous Media. Martinus Nijhoff, Dordrecht.
11. Narasimhan, T.N. and Witherspoon, P.A., 1976. An integrated finite difference method for analyzing fluid flow in porous media. Water Resour. Res., 12(1).
12. Neuman, S.P., 1980. A statistical approach to the inverse problem of aquifer hydrology. 3: Improved solution method and added perspective. Water Resour. Res., 16(2).
13. Neuman, S.P. and Yakowitz, S., 1979. A statistical approach to the inverse problem of aquifer hydrology. 1: Theory. Water Resour. Res., 15(4).
14. Patankar, S.V., 1980. Numerical Heat Transfer and Fluid Flow. Hemisphere, New York.
15. Peck, A., Gorelik, S., de Marsily, G., Foster, S. and Kovalevsky, V., 1988. Consequences of spatial variability in aquifer properties and data limitations for groundwater modelling practice. IAHS Publ., 175.
16. Theil, H. and van de Panne, C., 1960. Quadratic programming as an extension of conventional quadratic maximisation. Manage. Sci., 7: 1-20.
17. Wilson, J.L. and Dettinger, M.D., 1979. Numerical modeling of aquifer systems under uncertainty: a second moment analysis. MIT, Working Paper No. 1.