Ground water model calibration using pilot points and regularization

Ground Water

Volumn 41, Issue 2, 2003, Pages 170-177

  Doherty, John ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRAULICS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; STOCHASTIC CONTROL SYSTEMS;

STOCHASTIC CHARACTERIZATION;

GROUNDWATER;

CALIBRATION; GROUNDWATER FLOW; HYDRAULIC PROPERTY; MODELING; PARAMETERIZATION;

ARTICLE; CALIBRATION; REPRODUCIBILITY; THEORETICAL MODEL; WATER FLOW; WATER SUPPLY;

CALIBRATION; MODELS, THEORETICAL; REPRODUCIBILITY OF RESULTS; WATER MOVEMENTS; WATER SUPPLY;

EID: 0037373555     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2003.tb02580.x     Document Type: Article

References (21)

1. Capilla, J.E., J. Rodrigo, and J.J. Gómez-Hernández. 1999. Simulation of non-Gaussian transmissivity fields honoring piezometric data and integrating soft and secondary information. Mathematical Geology 31, no. 7: 907-927.
2. Carrera, J. 1987. State of the art of inverse problem applied to the flow and solute transport equations. In Groundwater Flow and Quality Modeling, ed. E. Custodio et al., 273-283. Dordrecht: Reidel Publishing.
3. Certes, C., and G. de Marsily. 1991. Application of the pilot points method to the identification of aquifer transmissivities. Advances in Water Resources 14, no. 5: 284-300.
4. Cristina, V., F. Barbosa, and J.B. Silva. 1994. Generalized compact gravity inversion. Geophysics 59, no. 1: 57-68.
5. de Groot-Hedlin, C., and S. Constable. 1990. Occam's inversion to generate smooth, two-dimensional models from magnetotelluric data. Geophysics 55, no. 12: 1613-1624.
6. de Marsily, G., C. Lavedan, M. Boucher, and G. Fasanino. 1984. Interpretation of interference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model. In Geostatistics for Natural Resources Characterization, ed. G. Verly, M. David, A.G. Journel, and A. Marechal. NATO ASI, Ser. C. 182; 831-849. Norwell, Massachusetts: D. Reidel.
7. Doherty, J. 2001. PEST Groundwater Data Utilities. Brisbane, Australia: Watermark Numerical Computing. Downloadable from www.sspa.com/pest.
8. Doherty, J. 2002. Manual for PEST, 5th edition. Brisbane, Australia: Watermark Numerical Computing. Downloadable from www.sspa.com/pest
9. Gomez-Hernandez, J.J., A. Sahuquillo, and J.E. Capilla. 1997. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data. 1. Theory. Journal of Hydrology 20, 162-174.
10. Gómez-Hernández, J.J., H.J. Hendricks Fransen, and E.F. Cassiraga. 2001. Stochastic analysis of flow response in a three-dimensional fractured rock mass block. International Journal of Rock Mechanics and Mining Science 38, 31-44.
11. Harbaugh, A.W., E.R. Banta, M.C. Hill, and M.G. McDonald. 2000. MODFLOW-2000: The U.S. Geological Survey modular ground-water model - User guide to modularization concepts and the ground-water flow process. U.S. Geological Survey Open-File Report 00-92. Reston, Virginia: USGS.
12. Hill, M.C. 1998. Methods and guidelines for effective model calibration. U.S. Geological Survey Water-Resources Investigations Report 98-4005. Reston, Virgina: USGS.
13. LaVenue, A.M., and J.F. Pickens. 1992. Application of a coupled adjoint sensitivity and kriging approach to calibrate a ground water flow model. Water Resources Research 28, no. 6: 1543-1569.
14. LaVenue, A.M., B.S. RamRao, G. de Marsily, and M.G. Marietta. 1995. Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: 2. Application. Water Resources Research 31, no. 3: 495-516.
15. LaVenue, M., and G. de Marsily. 2001. Three-dimensional interference test interpretation in a fractured aquifer using the pilot-point inverse method. Water Resources Research 37, no. 11: 2659-2675.
16. McLaughlin, D., and L.R. Townley. 1996. A reassessment of the groundwater inverse problem. Water Resources Research 32, no. 5: 1131-1161.
17. RamRao, B.S., A.M. LaVenue, G. 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 31, no. 3: 475-494.
18. Tikhonov, A.N. 1963a. Solution of incorrectly formulated problems and the regularization method. Soviet Math Dokl 4, 1035-1038.
19. Tikhonov, A.N. 1963b. Regularization of incorrectly posed problems. Soviet Math Dokl 4, 1624-1627.
20. Yeh, W.W.-G. 1986. Review of parameter identification procedures in ground water hydrology: The inverse problem. Water Resources Research 22, no. 2: 95-108.
21. Yeh, T.C.J., M. Jin, and S. Hanna. 1996. An iterative stochastic inverse method: Conditioning effective transmissivity and hydraulic head fields. Water Resources Research 32, no. 1: 85-92.