The Differential System Method for the Identification of Transmissivity and Storativity

Transport in Porous Media

Volumn 26, Issue 3, 1997, Pages 339-371

  Vázquez González, Rogelio ^a   Giudici, Mauro ^b   Ponzini, Giansilvio ^b   Parravicini, Guido ^b,c  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

^b UNIVERSITY OF MILAN   (Italy)

^c INFN SEZIONE DI MILANO   (Italy)

Author keywords

Analytical solutions; Direct methods; Groundwater flow; Heterogeneous media; Inverse problems; Model parameters; Numerical computations; Storativity; Transmissivity

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; CONFINED FLOW; FINITE DIFFERENCE METHOD; GROUNDWATER FLOW; INVERSE PROBLEMS; MATHEMATICAL MODELS;

DARCY'S LAW; DIFFERENTIAL SYSTEM (DS) METHOD; STORATIVITY; TRANSMISSIVITY;

AQUIFERS;

AQUIFER; DIFFERENTIAL SYSTEM METHOD; GROUNDWATER FLOW; GROUNDWATER PROCESSES; STORATIVITY; TRANSMISSIVITY;

EID: 0031086949     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1006568818150     Document Type: Article

References (28)

1. Bear, J.: 1979, Hydraulics of Groundwater, McGraw-Hill, New York.
2. Carrera, J.: 1988, State of art of the inverse problem applied to the flow and solute transport equations, in: E. Custodio et al. (eds), Groundwater Flow and Quality Modeling, Reidel, Dordrecht, pp. 549-583.
3. Carrera, J., and Neuman, S. P.: 1986, Estimation of aquifer parameters under transient and steady state conditions: 3. application to synthetic and field data, Water Resour. Res. 22, 228-242.
4. Cherry, J. A., Gillham, R. W., Anderson, E. G., and Johnson, P. E.: 1983, Migration of contaminants in groundwater at a landfill: A case study, 2. Groundwater monitoring devices, J. Hydrology 63, 31-50.
5. Forsythe, G. E., Malcolm, M. A., and Moler, C. B.: 1977, Computer Methods for Mathematical Computations, Prentice-Hall, Englewood Cliffs.
6. Freeze, R. A.: 1975, A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media, Water Resour. Res. 11, 725-741.
7. Ginn, T. R. and Cushman, J. H.: 1990, Inverse methods for subsurface flow: a critical review of stochastic techniques, Stochastic Hydrol. Hydraul. 4, 1-26.
8. Ginn, T. R., Cushman, J. H., and Houch, M. H.: 1990, A continuous-time inverse operator for groundwater and contaminant transport modeling: deterministic case, Water Resour. Res. 26, 241-252.
9. Ginn, T. R. and Cushman, J. H.: 1992, A continuous-time inverse operator for groundwater and contaminant transport modeling: model identifiability, Water Resour. Res. 28, 539-549.
10. Giudici, M.: 1994, Identifiability of physical parameters for transport phenomena in geophysics, Technical Report, Università degli Studi di Milano, Milan.
11. Giudici, M., Morossi, G., Parravicini, G. and Ponzini, G.: 1995, A new method for the identification of distributed transmissivities, Water Resour. Res. 31, 1969-1988.
12. Gómez Hernández, J. J.: 1991, A stochastic approach to the simulation of block conductivity fields conditioned upon data measured at a smaller scale, PhD thesis, Stanford University, Stanford.
13. Gómez Hernández, J. J. and Journel, A. G.: 1994, Stochastic characterization of grid-block permeabilities, SPE Form. Eval. 9, 93-100.
14. Irmay, S.: 1980, Piezometric determination of inhomogeneous hydraulic conductivity, Water Resour. Res. 16, 691-694.
15. McElwee, C. D., Bohling, G. C., and Butler, J. J. Jr.: 1995, Sensitivity analysis of slug tests. Part 1. The slugged well, J. Hydrology 164, 53-67.
16. Nelson, R. W.: 1960, In-place measurement of permeability in heterogeneous media: 1. Theory of a proposed method, J. Geophys. Res. 65, 1753-1758.
17. Nelson, R. W.: 1961, In-place measurement of permeability in heterogeneous media: 2. Experimental and computational considerations, J. Geophys. Res. 66, 2469-2478.
18. Parravicini, G., Giudici, M., Morossi, G. and Ponzini, G.: 1995, Minimal a priori assignment in a direct method for determining phenomenological coefficients uniquely, Inverse Probl. 11, 611-629.
19. Ponzini, G. and Crosta, G.: 1988, The comparison model method: a new arithmetic approach to the discrete inverse problem of groundwater hydrology. 1. One dimensional flow, Transport in Porous Media 3, 415-436.
20. Ponzini, G., Crosta, G. and Giudici, M.: 1989, Identification of thermal conductivities by temperature gradient profiles: one dimensional steady flow, Geophysics 54, 643-653.
21. Ponzini, G. and Lozej, A.: 1982, Identification of aquifer transmissivities: the comparison model method, Water Resour. Res. 18, 597-622.
22. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T.: 1992, Numerical Recipes in FORTRAN: The An of Scientific Computing, 2nd edn, Cambridge University Press, Cambridge.
23. Richter, G. R.: 1981a, An inverse problem for the steady state diffusion equation, SIAM J. Math. Anal. 41, 210-221.
24. Richter, G. R.: 1981b, Numerical identification of a spatially varying diffusion coefficient, Math. Comput. 36, 375-386.
25. Samarskij A. and Andreev, V.: 1978, Méthodes aux différences pour équations elliptiques, Mir, Moscow.
26. Stoer, J., and Bulirsch, R.: 1992, Introduction to Numerical Analysis, Springer-Verlag, New York, Berlin.
27. Sudicky, E. A., Cherry, J. A., and Frind, E. O.: 1983, Migration of contaminants in groundwater at a landfill: A case study, 4. A natural gradient dispersion test, J. Hydrology 63, 81-108.
28. Yeh, W. W-G.: 1986, Review of parameter identification procedures in groundwater hydrology: the inverse problem, Water Resour. Res. 22, 95-108.