Groundwater parameter estimation by optimization and dual reciprocity finite differences method

Journal of Porous Media

Volumn 8, Issue 2, 2005, Pages 211-223

  Karahan, Halil ^a   Ayvaz, M Tamer ^a  

^a PAMUKKALE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; GROUNDWATER; HYDRAULICS; MATHEMATICAL MODELS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS;

DUAL RECIPROCITY FINITE DIFFERENCES METHOD (DRFDM); GROUNDWATER PARAMETER ESTIMATION; HYDRAULIC HEADS; SPREADSHEET SOLVER;

PARAMETER ESTIMATION;

EID: 19544362385     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v8.i2.80     Document Type: Article

References (28)

1. Bakker, M., Simulating groundwater flow in multi-aquifer systems with analytical and numerical Dupuit-Models, J. Hydrol., vol. 222(14), pp. 55-64, 1999.
2. Bardet, J. P., and Tobita, T. A., A practical method for solving free-surface seepage problems, Comput. Geotech., vol. 29, pp. 451-475, 2002.
3. Bobba, A. G., Numerical model of contaminant transport through conduit-porous matrix system, Math. Geol., vol. 21, pp. 861-890, 1989.
4. Carrera, J., and Neuman, S. P., Estimation of aquifer parameters under transient and steady-state conditions, 2. Uniqueness, stability and solution algorithms, Water Resources Res., vol. 22, pp. 211-227, 1986.
5. Eldho, T. I., and Rao, B. V., Simulation of two-dimensional contaminant transport with dual reciprocity boundary elements, Eng. Anal. Boundary Element, vol. 20, pp. 213-228, 1997.
6. France, P. W., Finite element analysis of three-dimensional groundwater flow problems, J. Hydrol., vol. 21, pp. 381-398, 1974.
7. Fylstra, D., Lasdon, L., Watson, J., and Waren, A., Design and use of the Microsoft Excel Solver, Interfaces, vol. 28(5), pp. 29-55, 1998
8. Grupta, S. K., Cole, C. R., and Pinder, G. F., A finite element three-dimensional groundwater (FE3DGW) model for a multiaquifer system, Water Resources Res., vol. 20(5), pp. 553-563, 1984.
9. Gvirtzman, Z., and Garfunkel., Z., Numerical solutions for one-dimensional heat-conduction equation using a spreadsheet, Comput Geosci., vol. 22(10), pp. 1147-1158, 1996.
10. Hagler, M., Spreadsheet solution of partial differential equations, IEEE Trans. Educ., vol. E-30, pp. 130-134, 1987.
11. Hanna, S., An iterative Monte Carlo technique for estimating conditional means and variances of transmissivity and hydraulic head fields, Ph.D. dissertation, Department of Hydrology and Water Resources, University of Arizona, Tucson, 1995.
12. Harrouni, K. E., Ouazar, D., Wrobel, L. C., and Cheng., A. H.-D., Groundwater parameter estimation by optimization and DRBEM, Eng. Anal. Boundary Elements, vol. 19, pp. 97-103, 1997.
13. Jacquard, P., and Jain, C., Permeability distribution from field pressure data, Soc. Pet. Eng. J., vol. 5(4), pp. 281-294, 1965.
14. Kitanidis, P. K., and Vomvoris, E. G., A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulations, Water Resources Res., vol. 19(3), pp. 677-690, 1983.
15. Lasdon, L. S., Waren, A. D., Jain, A., and Ratner, M., Design and testing of a generalized reduced gradient code for nonlinear programming, ACM Trans. Math. Software, vol. 4(1), pp. 34-49, 1978.
16. Li, H., and Yang, Q. A., Least-squares penalty method algorithm for inverse problems of steady-state aquifer models, Adv. Water Res., vol. 23(8), pp. 867-880, 2000.
17. Mazzia, A., and Putti, M., Mixed-finite element and finite volume discretization for heavy brine simulations in groundwater, J. Comput. Appl. Math., vol. 147(1), pp. 191-213, 2002.
18. McDonald, M. G., and Harbough, A. W., A Modular Three-Dimensional Finite Difference Groundwater Flow Model, USGS Techniques of Water Resources Investigations, US Geological Survey, Open-File Report 83-875 (Chapter A1), Washington, 1988.
19. McLaughin, D., and Townley, L. R., A reassesment of the groundwater inverse problem, Water Resources Res., vol. 32(5), pp. 1131-1161, 1996.
20. Prasad, K. L., and Rastogi, A. K., Estimating net aquifer recharge and zonal transmissivity values for Mahi Right Canal Project area, India by genetic algorithm, J. Hydrol., vol. 243, pp. 149-161, 2001.
21. Remson, I., Hornberger, G. M., and Molz, F. J., Numerical Methods in Sub-Surface Hydrology, Wiley-Interscience, New York, p. 289, 1971.
22. Saulyev, V. K., Integration of Equations of Parabolic Type by the Method of Nets, Macmillan, New York, 1964.
23. Singh, V. P., Environmental Hydrology, Kluwer Academic, Dordrecht, 1995.
24. Sun, N.-Z., Inverse Problems in Groundwater Modeling, Kluwer Academic, Dordrecht, 1994.
25. Trescott, P. C., and Larson, S. P., Solution of three-dimensional groundwater flow equations using the strongly implicit procedure, J. Hydrol., vol. 35, pp. 49-60, 1977.
26. Wang, H. F., and Anderson, M. P., Introduction to Groundwater Modeling, Freeman, San Francisco, p. 237, 1982.
27. Willis, R., and Yeh, W. W.-G., Groundwater System Planning and Management, Prentice-Hall, Englewood Cliffs, NJ, 1985.
28. Yeh, W. W.-G., Review of parameter identification procedure in groundwater hydrology: The inverse problem, Water Resources Res., vol. 22(2), pp. 95-108, 1986.