An efficient approach for successively perturbed groundwater models

Advances in Water Resources

Volumn 21, Issue 6, 1998, Pages 499-508

  Wang, P Patrick ^a   Zheng, Chunmiao ^a  

^a UNIVERSITY OF ALABAMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; COMPUTER SIMULATION; DATA STORAGE EQUIPMENT; FINITE DIFFERENCE METHOD; INVERSE PROBLEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

LINEAR EQUATIONS; MATRIX INVERSION; REMEDIATION DESIGN;

GROUNDWATER;

GROUNDWATER; MODEL; REMEDIATION;

FINITE DIFFERENCE METHOD; GROUNDWATER; REMEDIATION; SENSITIVITY ANALYSIS;

EID: 0345596407     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(97)00008-0     Document Type: Article

References (22)

1. 1. Beylkin, G., Comfier, R. and Rokhlin, V., Communications on Pure and Applied Mathematics, (1991) 44, 141-183.
2. 2. Beylkin, B., Coifman, R. R. and Rokhlin, V., Wavelets in numerical analysis. In Wavelets and Their Applications, ed. M. B. Ruskai. Jones and Bartlett Publishers, Boston, 1992.
3. 3. Daubechies, I., Ten Lectures on Wavelets. Capital City Press, Philadelphia, 1989.
4. 4. Dougherty, D. E. and Marryott, R. A., Optimal ground water management, 1. Simulated annealing. Water Resour. Res., 1991, 27(10) 2493-2508.
5. 5. Duff, I. S., Erisman, A. M. and Reid, J. K., Direct Methods for Sparse Matrices. Oxford Science Publications, Oxford, 1986.
6. 6. George, A. and Liu, J., Computer Solution of Large Sparse Positive-Definite Systems. Prentice-Hall, Englewood Cliffs, NJ, 1981.
7. 7. Golub, G. H. and van Loan, C. F., Matrix Computations, 2nd edn. Johns Hopkins University Press, Baltimore, MD, 1989.
8. 8. Handbook of Mathematics (in Chinese). Peoples Education Press, China, 1978.
9. 9. Hill, M. C., Preconditioned Conjugate Gradient 2 (PCG2), a computer program for solving groundwater flow equations. US Geological Survey Open File Report 90-4048, Denver, CO, 1990.
10. 10. Hill, M. C., A computer program (MODFLOWP) for estimating parameters of a transient, three-dimensional, ground-water flow model using nonlinear regression. US Geological Survey Report 91-484, Denver, CO, 1992.
11. 11. Kincaid, D. and Cheney, W., Numerical Analysis. Brook/Cole Publishing Company, Pacific Grove, CA, 1991.
12. 12. Marryott, R. A., Dougherty, D. E. and Stollar, R. L., Optimal groundwater management, 2. Application of simulated annealing to a field-scale contamination site. Water Resour. Res., 1993, 29(4) 847-860.
13. 13. Mauldon, A. D., Karasaki, K., Martel, S., Long, J. C., Landsfeld, M., Mensch, A. and Vomvoris, S., An inverse technique for developing models for fluid flow in fracture systems using simulated annealing. Water Resour. Res., 1993, 29(11) 3775-3789.
14. 14. McDonald, M. G. and Harbaugh, A. G., A modular three-dimensional finite-difference groundwater flow model. Techniques of Water Resources Investigations of the US Geological Survey, Reston, VA, 1988.
15. 15. McKinney, D. and Lin, M.-D., Genetic algorithm solution of groundwater management models. Water Resour. Res., 1994, 30(6) 1897-1906.
16. 16. Meyer, Y., Wavelets and Operators, In Analysis at Urbana, ed. E, Berkson, N. T. Peck and J. Hhl. London Math. Society, Lecture Notes 137, 1989.
17. 17. Noble, B. and Daniel, J., Applied Linear Algebra, 2nd edn. Prentice-Hall, Englewood Cliffs, NJ, 1977.
18. 18. Press, W. H., Teukolsky, S. H., Vetterling, W. T. and Flannery, B. P., Numerical Recipes in FORTRAN, The Art of Scientific Computing, 2nd edn. Cambridge University Press, Cambridge, 1992.
19. 19. Ruskai, M. B. (ed.), Wavelets and Their Applications. Jones and Bartlett Publishers, Boston, 1992.
20. 20. Wagner, B. J., Sampling design methods for groundwater modeling uncertainty. Water Resour. Res., 1995, 31(10) 2581-2591.
21. 21. Wang, M. and Zheng, C., Aquifer parameter estimation under transient and steady-state conditions using genetic algorithms. In ModelCARE'96: Uncertainty and Reliability of Groundwater Models, IAHS Publication no. 237, Wallingford, UK, 1996, pp. 21-30.
22. 22. Zheng, C. and Wang, P., Parameter structure identification using tabu search and simulated annealing. Adv. Water Res., 1996, 19(4) 215-224.