Abstract
Closed-form steady-state analytical solutions for capture times are derived considering both pumping–injecting and pumping–pumping double-well systems. Numerical simulations are used to obtain capture times and the numerical results agree with analytical solutions. The influences of regional flows upon the capture zones are analyzed numerically. In a heterogeneously stratified aquifer, the mean and the variance of the capture time are calculated. It is found that hydraulic conductivity distribution plays an important role in determining the mean and the variance of the capture time.
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REFERENCES
Bakker, M., and Strack, O. D. L., 1996, Capture zone delineation in two-dimensional ground-water flow models: Water Resources Res., v. 32, no. 5, p. 1309–1315.
Bear, J., and Jacobs, M., 1965, On the movement of water bodies injected into aquifers: Jour. Hydrology, v. 3, p. 37–57.
Bear, J., 1972, Dynamics of fluids in porous media: Elsevier, New York, 764 p.
Butler, J. J., and Liu, W., 1993, Pumping tests in nonuniform aquifers: The radially asymmetric case: Water Resources Res., v. 29, no. 2, p. 259–269.
Deutsch, C. V., 1997, GSLIB: Geostatistical software library and user's guide: Oxford Univ. Press, New York, 369 p.
Domenico, P. A., and Schwartz, F. W., 1997, Physical and chemical hydrogeology (2nd ed.): John Wiley & Sons, New York, 506 p.
Gelhar, L. W., 1993, Stochastic subsurface hydrology: Prentice Hall, Englewood Cliffs, 390 p.
Gradshteyn, I. S., and Ryzhik, I. M., 1994, in Jeffrey, A., ed., Table of integrals, series, and products (5th ed.): Academic Press, San Diego, 1204 p.
Guiguer, N., and Franz, T., 1996, Visual modflow (software): Waterloo Hydrogeologic Inc., Waterloo, Ontario, Canada.
Hsieh, P. A., 1986, A new formula for the analytical solution of the radial dispersion problem: Water Resources Res., v. 22, no. 11, p. 1597–1605.
Musa, M., and Kemblowski, M. W., 1996, Transient capture zone for a single well: Ground Water, v. 34, no. 1, p. 168–170.
Muskat, M., 1946, The flow of homogeneous fluids through porous media, 2nd printing: Edwards, Ann Arbor, MI, 763 p.
Naff, R. L., 1991, Radial flow in heterogeneous porous media: An analysis of specific discharge: Water Resources Res., v. 27, no. 3, 307–316.
Pollock, D. W., 1989, Documentation of computer programs to compute and display pathlines using results from the U. S. Geological Survey modular three-dimensional finite-difference groundwater model: U. S. Geol. Survey Open-File Report 89-381.
Stewart, J., 1991, Calculus (2nd ed.): Brooks/Cole Publishing Company, Pacific Grove, California, 974 p.
U. S. Environmental Protection Agency, 1990, Basics of pump-and-treat ground-water remediation technology: EPA/600/8-90/003, Washington, D.C.
Welty, C., and Gelhar, L. W., 1994, Evaluation of longitudinal dispersivity from nonuniform flow tracer tests: Jour. Hydrology, v. 153, p. 71–102.
Yang, Y. J., Spencer, R. D., and Gates, T. M., 1995, Analytical solutions for determination of nonsteady-state and steady-state capture zones: Ground Water Monit. Remedia., v. 15, no. 1, p. 101–106.
Zheng, C., 1992, MT3D version 1.8 documentation and user's guide: S. S. Papadopulos & Associates, Inc., Bethesda, MD.
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Zhan, H. Analytical and Numerical Modeling of a Double Well Capture Zone. Mathematical Geology 31, 175–193 (1999). https://doi.org/10.1023/A:1007509817911
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DOI: https://doi.org/10.1023/A:1007509817911