Inverse models: A necessary next step in ground-water modeling

Ground Water

Volumn 35, Issue 2, 1997, Pages 250-260

  Poeter, Eileen P ^a   Hill, Mary C ^b  

^a Department of Metallurgical and Materials Engineering   (United States)

^b DENVER FEDERAL CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALIBRATION; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; REGRESSION ANALYSIS;

DATA SHORTCOMINGS; INVERSE MODELING; NONAUTOMATED CALIBRATION;

GROUNDWATER FLOW;

EID: 0031105936     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.1997.tb00082.x     Document Type: Article

References (35)

1. Anderman, E. R., M. C. Hill, and E. P. Poeter. 1996. Two-dimensional advective transport in ground-water flow parameter estimation. Ground Water. v. 34, no. 6, pp. 1001-1009.
2. Anderson, M. P. and W. W. Woessner. 1992. Applied Groundwater Modeling Simulation of Flow and Advective Transport. Academic Press. 381 pp.
3. Beven, K. and A. Binley. 1992. The future of distributed models, model calibration and uncertainty prediction. Hydrological Processes, v. 6, pp. 279-298.
4. Carrera, J. and S. P. Neuman. 1986. Estimation of aquifer parameters under transient and steady-state conditions. Water Resources Research. v. 22, no. 2, pp. 199-242.
5. Christensen, S. and R. L. Cooley. 1996. Simultaneous confidence intervals for a steady-state leaky aquifer groundwater flow model. Kovar, K. et al., eds. Proceedings of ModelCARE '96 Conference, Golden, CO. pp. 561-569.
6. Christiansen, H., M. C. Hill, D. Rosbjerg, and K. H. Jensen. 1995. Three-dimensional inverse modeling using heads and concentrations at a Danish landfill. Wagner, B. J. and T. Illangesekare, eds. Proceedings of Models for Assessing and Monitoring Groundwater Quality, IAHS-INGG XXI General Assembly, Boulder, CO. pp. 167-175.
7. Cooley, R. L. and R. L. Naff. 1990. Regression modeling of ground-water flow. USGS TWRI. book 3, chap. B4, 232 pp.
8. D'Agnese, F. A., C. C. Faunt, M. C. Hill, A. K. Turner. 1996. Calibration of the Death Valley regional groundwater flow model using parameter estimation methods and 3D GIS application. Kovar, K. et al., eds. Proceedings of ModelCARE '96 Conference, Golden, CO. pp. 41-52.
9. Doherty, J. 1990. MODINV. Australian Center for Tropical Freshwater Resources, Townsville, Australia. 278 pp.
10. Doherty, J. 1994. PEST. Watermark Computing, Corinda, Australia. 122 pp.
11. Donaldson and Schnabel. 1987. Computational experience with confidence regions and confidence intervals for nonlinear least squares. Technometrics. v. 29, no. 1, pp. 67-87.
12. Draper, N. R. and H. Smith. 1981. Applied Regression Analysis (2nd ed.). John Wiley and Sons, New York. 709 pp.
13. Freeze, R. A., B. James, J. Massman. T. Sperling, and L. Smith. 1992. Hydrogeological decision analysis, 4, The concept of data worth and its use in the development of site investigation strategies. Ground Water, v. 30, no. 4, pp. 574-588.
14. Giacinto, J. F. 1994. An application of MODFLOWP to a superfund case study. In: Proceedings of the 1994 Groundwater Modeling Conference, eds. Warner, J. W. and P. van der Heijde. IGWMC, Golden, CO. pp. 103-110.
15. Helsel, D. R. and R. M. Hirsch. 1992. Statistical Methods in Water Resources. Elsevier, New York. 522 pp.
16. Hill, M. C. 1990. Preconditioned conjugate-gradient 2 (PCG2), a computer program for solving groundwater flow equations. USGS WRI Report 90-4048. 43 pp.
17. Hill, M. C. 1992. A computer program (MODFLOWP) for estimating parameters of a transient, three-dimensional groundwater flow model using nonlinear regression. USGS OFR 91-484. 358 pp.
18. Hill, M. C. 1994. Five computer programs for testing weighted residuals and calculating linear confidence and prediction intervals on results from the groundwater parameter-estimation computer program MODFLOWP. USGS OFR 93-481. 81 pp.
19. Hill, M. C., R. L. Cooley, and D. W. Pollock. In review. A controlled experiment in ground-water flow modeling: 1 Calibration using nonlinear regression to estimate parameter values.
20. Hoeksema, R. J. and P. K. Kitanidis. 1984. An application of the geostatistical approach to the inverse problem in two-dimensional groundwater modeling. Water Resources Research. v. 20, no. 7, pp. 1003-1020.
21. Keidser, Allen and Dan Rosjberg. 1991. A comparison of four inverse approaches to groundwater flow and transport parameter identification. Water Resources Research. v. 27, no. 9, pp. 2219-2232.
22. Knopman, D. S. and C. I. Voss. 1989. Multiobjective sampling designs for parameter estimation and model discrimination in ground-water solute transport. Water Resources Research. v. 25, no. 10, pp. 2245-2258.
23. McDonald, M. G. and A. W. Harbaugh. 1988. A modular, three-dimensional finite-difference groundwater flow model. USGS TWRI. Book 6, chap. A1, 548 pp.
24. Olsthoorn, T. N. 1995. Effective parameter optimization for ground-water model calibration. Ground Water. v. 33, no. 1, pp. 42-48.
25. Poeter, E. P. and S. A. McKenna. 1995. Reducing uncertainty associated with ground-water flow and transport predictions. Ground Water. v. 33, no. 6.
26. Prudic, D. E. 1989. Documentation of a computer program to simulate stream-aquifer relations using a modular, finite-difference groundwater flow model. USGS OFR 88-729. 144 pp.
27. RamaRoa, B. S., M. A. LaVenue, Ghislain de Marsily, and M. G. Marietta. 1995. Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields, 1, Theory and computational experiments. Water Resources Research. v. 31, no. 3, pp. 475-493.
28. Seber, G.A.F. and C. J. Wild. 1989. Nonlinear Regression. John Wiley & Sons, NY. 768 pp.
29. Sun, N.-Z. 1994. Inverse Problems in Groundwater Modeling. Kluwer Academic Publishers, Boston. 337 pp.
30. Tiedeman, C. and S. M. Gorelick. 1992. Analysis of uncertainty in optimal groundwater contaminant capture design. Water Resources Research. v. 29, no. 7, pp. 2139-2153.
31. Vechia, A. V. and R. L. Cooley. 1987. Simultaneous confidence intervals and prediction intervals for nonlinear regression models with application to a groundwater flow model. Water Resources Research. v. 23, no. 7, pp. 1237-1250.
32. Xiang, Y., J. F. Sykes, and N. R. Thomson. 1993. A composite L1 parameter estimator for model fitting in groundwater flow and solute transport simulation. Water Resources Research. v. 29, no. 6, pp. 1661-1673.
33. Yager, R. M. 1993. Simulated three-dimensional groundwater flow in the Lockport Group, a fractured dolomite aquifer near Niagara Falls, New York. USGS WRI Report 92-4189. 43 pp.
34. Yeh, W.W.G. 1986. Review of parameter identification procedures in groundwater hydrology - The inverse problem. Water Resources Research. v. 22, no. 2, pp. 95-108.
35. Yoon, Y. S. and W.W.G. Yeh. 1976. Parameter identification on an inhomogeneous medium with finite element method. Journal of the Society of Petroleum Engineers. v. 16, no. 4, pp. 217-226.