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Sep 15, 2009

Aquifer Parameter Estimation for a Constant-Flux Test Performed in a Radial Two-Zone Aquifer

Publication: Journal of Irrigation and Drainage Engineering
Volume 135, Issue 5

Abstract

A patchy aquifer or an aquifer with a finite thickness skin can be considered as a radial two-zone aquifer system, which can be characterized by five parameters, i.e., the thickness of the first zone and four aquifer parameters including the transmissivity and storage coefficient for each of the first and second zones. This paper proposes an approach based on an analytical solution of a constant-flux pumping in a confined two-zone aquifer and the simulated annealing algorithm to determine the five parameters simultaneously. The estimated results for the five parameters are fairly good even assuming the aquifer as a single-zone system at the beginning of the data analysis. The estimated results indicate that the first-zone parameters are much more difficult to accurately identify than the second-zone parameters due to insufficient early-time data and high correlation of the sensitivities among the first-zone parameters. However, the problem of inaccurate results obtained at the first-zone can be significantly improved if more densely temporal drawdown measurements are used.

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Acknowledgments

This study was partly supported by the Taiwan National Science Council under Grant No. UNSPECIFIEDNSC 96–2221–E–009–087-MY3. The writers would like to thank the two anonymous reviewers for their constructive comments and suggested revisions.

References

Barker, J. A., and Herbert, R. (1982). “Pumping test in patchy aquifers.” Ground Water, 20(2), 150–155.
Chang, Y. C., Yeh, H. D., and Huang, Y. C. (2008). “Determination of the parameter pattern and values for a one dimensional multi-zone unconfined aquifer.” Hydrogeol. J., 16(2), 205–214.
Corana, A., Marchesi, M., Martini, C., and Ridella, S. (1987). “Minimizing multimodal functions of continuous variables with the ‘simulated annealing’ algorithm.” ACM Trans. Math. Softw., 13(3), 262–280.
Cunha, M. D. C., and Sousa, J. (1999). “Water distribution network design optimization: Simulated annealing approach.” J. Water Resour. Plann. Manage., 125(4), 215–221.
Dougherty, D. E., and Marryott, R. A. (1991). “Optimal groundwater management. 1: Simulated annealing.” Water Resour. Res., 27(10), 2493–2508.
Georgiou, P. E., Papamichail, D. M., and Vougioukas, S. G. (2006). “Optimal irrigation reservoir operation and simultaneous multi-crop cultivation area selection using simulated annealing.” Irrig. Drain., 55, 129–144.
Heidari, M., and Moench, A. (1997). “Evaluation of unconfined-aquifer parameters from pumping data by nonlinear least squares.” J. Hydrol., 192, 300–313.
Huang, Y. C., and Yeh, H. D. (2007). “The use of sensitivity analysis in on-line aquifer parameter estimation.” J. Hydrol., 335(3–4), 406–418.
Kabala, Z. J. (2001). “Sensitivity analysis of a pumping test on a well with wellbore storage and skin.” Adv. Water Resour., 24, 483–504.
Kirkpatrick, S., Gelatt, C. D., Jr., and Vecchi, M. P. (1983). “Optimization by simulated annealing.” Science, 220(4598), 671–680.
Kuo, S. F., Liu, C. W., and Merkley, G. P. (2001). “Application of the simulated annealing method to agricultural water resource management.” J. Agric. Eng. Res., 80(1), 109–124.
Leng, C. H., and Yeh, H. D. (2003). “Aquifer parameter identification using the extended Kalman filter.” Water Resour. Res., 39(3), 1062.
Lin, Y. C., and Yeh, H. D. (2005). “Trihalomethane species forecast using optimization method: Genetic algorithm and simulated annealing.” J. Comput. Civ. Eng., 19(3), 248–257.
Marryott, R. A. (1996). “Optimal ground-water remediation design using multiple control technologies.” Ground Water, 34(3), 425–433.
Marryott, R. A., Dougherty, D. E., and Stollar, R. L. (1993). “Optimal groundwater management. 2: Application of simulated annealing to a field-scale contamination.” Water Resour. Res., 29(4), 847–860.
McCuen, R. H. (1985). Statistical methods for engineers, Prentice-Hall, Englewood Cliffs, N.J.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E. (1953). “Equation of state calculations by fast computing machines.” J. Chem. Phys., 21(6), 1087–1092.
Mitchell, J. K. (1993). Fundamentals of soil behavior, 2nd Ed., Wiley, New York.
Mitra, D., Romeo, F., and Sangiovanni-Vincentelli, A. L. (1986). “Convergence and finite-time behavior of simulated annealing.” Adv. Appl. Probab., 18, 747–771.
Novakowski, K. S. (1989). “A composite analytical model for analysis of pumping tests affected by well bore storage and finite thickness skin.” Water Resour. Res., 25(9), 1937–1946.
Pham, D. T., and Karaboga, D. (2000). Intelligent optimisation techniques, Springer, New York.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1992). Numerical recipes, 2nd Ed., Cambridge University Press, New York.
Samuel, M. P., and Jha, M. K. (2003). “Estimation of aquifer parameters from pumping test data by genetic algorithm optimization technique.” J. Irrig. Drain. Eng., 129(5), 348–359.
Schwartz, F. W., and Zhang, H. (2003). Fundamentals of ground water, Wiley, New York.
Teegavarapu, R. S. V., and Simonovic, S. P. (2002). “Optimal operation of reservoir systems using simulated annealing.” Water Resour. Manage., 16, 401–428.
Theis, C. V. (1935). “The relation between the lowing of the piezometric surface and the rate and duration of discharge of a well using ground-water storage.” EOS Trans. Am. Geophys. Union, 16, 519–524.
Visual Numerics Inc. (2003a). IMSL Fortran library user’s guide math/library, version 5.0, Vol. 2, Visual Numerics Inc., Houston.
Visual Numerics Inc. (2003b). IMSL Fortran library user’s guide stat/library, version 5.0, Vol. 2, Visual Numerics Inc., Houston.
Yang, S. Y., and Yeh, H. D. (2007). “A closed-form solution for a confined flow into a tunnel during progressive drilling in a multi-layer groundwater flow system.” Geophys. Res. Lett., 34, L07405.
Yeh, H. D. (1987). “Theis’ solution by nonlinear least-squares and finite-difference Newton's method.” Ground Water, 25(6), 710–715.
Yeh, H. D., Chang, T. H., and Lin, Y. C. (2007). “Groundwater contaminant source identification by a hybrid heuristic approach.” Water Resour. Res., 43, W09420.
Yeh, H. D., and Huang, Y. C. (2005). “Parameter estimation for leaky aquifers using the extended Kalman filter and considering model and data measurement uncertainties.” J. Hydrol., 302(1–4), 28–45.
Yeh, H. D., and Lin, Y. C. (2008). “Pipe network analyses using global optimization method.” J. Water Supply: Res. Technol.-AQUA, 57(5), 317–327.
Yeh, H. D., and Yang, S. Y. (2006). “A novel analytical solution for a slug test conducted in a well with a finite-thickness skin.” Adv. Water Resour., 29(10), 1479–1489.
Yeh, H. D., Yang, S. Y., and Peng, H. Y. (2003). “A new closed-form solution for a radial two-zone drawdown equation for groundwater under constant-flux pumping in a finite-radius well.” Adv. Water Resour., 26, 747–757.
Zheng, C., and Wang, P. (1996). “Parameter structure identification using tabu search and simulated annealing.” Adv. Water Resour., 19(4), 215–224.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 135Issue 5October 2009
Pages: 693 - 703

History

Received: Feb 18, 2008
Accepted: Jan 16, 2009
Published online: Sep 15, 2009
Published in print: Oct 2009

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Authors

Affiliations

Hund-Der Yeh [email protected]
Professor, Institute of Environmental Engineering, National Chiao Tung Univ., 1001 University Road, Hsinchu, Taiwan 30010 (corresponding author). E-mail: [email protected]
Chun-Hao Chang [email protected]
Graduate Student, Institute of Environmental Engineering, National Chiao Tung Univ., 1001 University Road, Hsinchu, Taiwan 30010, Taiwan. E-mail: [email protected]
Yen-Ju Chen [email protected]
Graduate Student, Institute of Environmental Engineering, National Chiao Tung Univ., 1001 University Road, Hsinchu, Taiwan 30010, Taiwan. E-mail: [email protected]

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