dsm.f90: A computer code for the solution of an inverse problem of ground water hydrology by the differential system method

Computers and Geosciences

Volumn 32, Issue 10, 2006, Pages 1709-1719

  Giudici, Mauro ^a   Vassena, Chiara ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

FORTRAN 90; Ground water; Heterogeneity; Inverse problem; Transmissivity

Indexed keywords

COMPUTER SIMULATION; FORTRAN (PROGRAMMING LANGUAGE); GROUNDWATER; INVERSE PROBLEMS;

DIFFERENTIAL SYSTEM METHOD; HETEROGENEITY; HYDRAULIC GRADIENTS; TRANSMISSIVITY;

HYDROGEOLOGY;

COMPUTER SIMULATION; FORTRAN (PROGRAMMING LANGUAGE); GROUNDWATER; HYDROGEOLOGY; INVERSE PROBLEMS;

CONFINED AQUIFER; GROUNDWATER; HYDROLOGY; INVERSE PROBLEM; SOFTWARE; TRANSMISSIVITY; TWO-DIMENSIONAL FLOW;

EID: 33747849561     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2006.03.008     Document Type: Article

References (24)

1. Carrera J. State of art of the inverse problem applied to the flow and solute transport equations. In: Custodio E., et al. (Ed). Groundwater Flow and Quality Modeling (1988), Reidel, Dordrecht 549-583
2. Carrera J., Alcolea A., Medina A., Hidalgo J., and Slooten L.J. Inverse problems in hydrogeology. Hydrogeology Journal 13 (2005) 206-222
3. Emsellem Y., and Marsily G.d. An automatic solution for the inverse problem. Water Resources Research 7 (1971) 1264-1283
4. Ginn T.R., and Cushman J.H. Inverse methods for subsurface flow: a critical review of stochastic techniques. Stochastic Hydrology and Hydraulics 4 (1990) 1-26
5. Giudici M. Development, calibration and validation of physical models. In: Clarke K.C., Parks B.O., and Krane M.C. (Eds). Geographic Information Systems and Environmental Modeling (2001), Prentice-Hall, Upper Saddle River, NJ 100-121
6. Giudici M., Morossi G., Parravicini G., and Ponzini G. A new method for the identification of distributed transmissivities. Water Resources Research 31 (1995) 1969-1988
7. Giudici M., Delay F., Marsily G.d., Parravicini G., Ponzini G., and Rosazza A. Discrete stability of the differential system method evaluated with geostatistical techniques. Stochastic Hydrology and Hydraulics 12 (1998) 191-204
8. Giudici, M., Meles, G.A., Ponzini, G., Vassena, C., Parravicini, G., 2006a. A tomographic approach to identify hydraulic conductivity of a phreatic aquifer with the "differential system method", In: Proceedings of ModelCARE2005, International Association of Hydrological Sciences, IAHS, in press.
9. Giudici, M., Meles, G.A., Parravicini, G., Ponzini, G., Vassena, C., 2006b. Identification of aquifer transmissivity with multiple sets of data using the Differential System Method. In: Dontchev, A.L., Marti, J., Furuta, K., Pandolfi, L. (Eds.), Proceedings of the International Federation for Information Processing Conference, IFIP-TC7, July 18-22, 2005, Turin, Italy. Springer, Berlin, in press.
10. Hämmerlin G., and Hoffmann K.H. Numerical Mathematics (1991), Springer, New York, NY 422pp
11. Lunati I., Bernard D., Giudici M., Parravicini G., and Ponzini G. A numerical comparison between two upscaling techniques: non-local inverse based scaling and simplified renormalization. Advances in Water Resources 24 (2001) 913-929
12. McLaughlin D., and Townley L.R. A reassessment of the groundwater inverse problem. Water Resources Research 32 (1996) 1131-1161
13. Moreles M.A., Vázquez R., and Avila F. The differential system method for parameter identification; unconfined aquifer case. Computational Geosciences 8 (2005) 235-253 10.1007/s10596-005-3773-7
14. Nelson R.W. In-place measurements of permeability in heterogeneous media: 1. Theory of a proposed method. Journal of Geophysical Research 65 (1960) 1753-1758
15. Nelson R.W. In-place measurements of permeability in heterogeneous media: 2. Experimental and computational considerations. Journal of Geophysical Research 66 (1961) 2469-2478
16. Ortuani, B., Giudici, M., Savi, F., 1999. Identification of hydrodynamic parameters for a regional multilayered aquifer with the DS method. In: Feyen, J., Wiyo, K. (Eds.), Modelling of Transport Processes in Soils. Proceedings of the International Workshop of EurAgEng's Field of Interest on Soil and Water, Wageningen Pers, Wageningen, The Netherlands, pp. 467-475.
17. Parravicini G., Giudici M., Morossi G., and Ponzini G. Minimal a priori assignment in a direct method for determining phenomenological coefficients uniquely. Inverse Problems 11 (1995) 611-629
18. Richter G.R. An inverse problem for the steady state diffusion equation. SIAM Journal on Mathematical Analysis 41 (1981) 210-221
19. Sun N.Z. Inverse Problems in Groundwater Modeling (1994), Kluwer, Norwell, MA 352 pp
20. Togni L. Solution of an inverse problem in ground water hydrology by the integration of the differential system method with stochastic techniques, Degree's Thesis (2003), University of Milano, Milan, Italy 100 pp
21. Vassena, C., Giudici, M., Ponzini, G., Parravicini G., Meles, G.A., 2006. A tomographic approach to identify transmissivity with the differential system method. ASCE Journal of Hydrological Engineering, [Submitted for publication.]
22. Vázquez González R., Giudici M., Parravicini G., and Ponzini G. The differential system method for the identification of transmissivity and storativity. Transport in Porous Media 26 (1997) 339-371
23. Yeh W.-G.W. Review of parameter identification procedures in groundwater hydrology: the inverse problem. Water Resources Research 22 (1986) 95-108
24. Zimmerman D.A., Marsily G.d., Gotway C.A., Marietta M.G., Axness C.L., Beauheim R.L., Bras R.L., Carrera J., Dagan G., Davies P.B., Gallegos D.P., Galli A., Gómez-Hernández J., Grindrod P., Gutjahr A.L., Kitanidis P.K., Lavenue A.M., McLaughlin D., Neuman S.P., RamaRao B.S., Ravenne C., and Rubin Y. A comparison of seven geostatistically based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow. Water Resources Research 34 (1998) 1373-1413