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Validity of the Generalized Richards Equation for the Analysis of Pumping Test Data for a Coarse-Material Aquifer

Aly I. El-Kadi*

Department of Geology and Geophysics and Water Resources Research Center, 1680 East-West Road, University of Hawai‘i at Manoa, Honolulu, Hawai‘i 96822


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Fig. 1. Map of the site showing locations of the pumped and monitoring wells (modified from Moench et al., 2001).

 


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Fig. 2. Numerical accuracy of three different mesh sizes for the model VS2D.

 


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Fig. 3. Effective well-pumping rate as estimated from Eq. [12].
 


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Fig. 4. Soil-water characteristic functions for data from Mace et al. (1998), Moench (2003), and this paper.

 


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Fig. 5. Comparison of solutions of the generalized Richards equation that utilized the van Genuchten and Brooks and Corey functions.

 


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Fig. 6. Results for simulations and the measured drawdowns at early time for well F505-032: (a) Case 1 vs. Case 5, (b) Cases 2 and 3 vs. Case 5, (c) Cases 4 and 6 vs. Case 5.

 


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Fig. 7. Results for simulations and the measured drawdowns for the duration of the aquifer test for well F377-037. The figure compares between the results of Cases 5, 7, and 8.

 


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Fig. 8. Results for simulations and the measured drawdowns for the duration of the aquifer test for monitoring cluster F504: (a) well F504-032, (b) well F504-060, and (c) well F504-080. The figure compares between the results of Cases 5 and 8.

 


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Fig. 9. Results for simulations and the measured drawdowns for the duration of the aquifer test for monitoring cluster F505: (a) well F505-032, (b) well F505-059, and (c) well F505-080. The figure compares between the results of Cases 5 and 8.

 


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Fig. 10. Example results for simulations and the measured drawdowns for the duration of the aquifer test for three monitoring points where no early test data exist: (a) well F434-060, (b) well F450-061, and (c) well F383-129. The figure compares between the results of Cases 1, 5, and 8.

 


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Fig. 11. Results for simulations and the measured drawdowns for the duration of the aquifer test for the pumping well (Case 5).

 





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