Joint interpretation of sequential pumping tests in unconfined aquifers

Water Resources Research

Volumn 49, Issue 4, 2013, Pages 1782-1796

  Mao, Deqiang ^a,b   Yeh, Tian Chyi J ^b,c   Wan, Li ^a   Wen, Jet Chau ^d   Lu, Wenxi ^e   Lee, Cheng Haw ^c   Hsu, Kuo Chin ^c  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b UNIVERSITY OF ARIZONA   (United States)

^c NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^d NATIONAL YUNLIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^e JILIN UNIVERSITY   (China)

Author keywords

hydraulic tomography; joint interpretation; pumping test; unconfined aquifers; variably saturated flow

Indexed keywords

AQUIFERS; DIGITAL STORAGE; HYDROGEOLOGY; PORE SIZE; PUMPS; STOCHASTIC SYSTEMS; WATER LEVELS;

HYDRAULIC TOMOGRAPHIES; JOINT INTERPRETATION; PUMPING TESTS; UNCONFINED AQUIFERS; VARIABLY SATURATED FLOW;

PARAMETER ESTIMATION;

CONCEPTUAL FRAMEWORK; DRAWDOWN; FIELD METHOD; FINITE ELEMENT METHOD; GROUNDWATER FLOW; PARAMETERIZATION; PHREATIC ZONE; PORE SPACE; PUMPING; SIZE DISTRIBUTION; STOCHASTICITY; TOMOGRAPHY; UNCONFINED AQUIFER;

EID: 84877947454     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/wrcr.20129     Document Type: Article

References (72)

1. Berg, S. J., and, W. A. Illman, (2011a), Capturing aquifer heterogeneity: Comparison of approaches through controlled sandbox experiments, Water Resour. Res., 47 (9), W09514, doi: 10.1029/2011WR010429.
2. Berg, S. J., and, W. A. Illman, (2011b), Three-dimensional transient hydraulic tomography in a highly heterogeneous glaciofluvial aquifer-aquitard system, Water Resour. Res., 47, W10507, doi: 10.1029/2011WR010616.
3. Berg, S. J., and, W. A. Illman, (2012), Improved predictions of saturated and unsaturated zone drawdowns in a heterogeneous unconfined aquifer via transient hydraulic tomography: Laboratory sandbox experiments, J. Hydrol., 470-471, 172-183, doi: 10.1016/j.jhydrol.2012.08.044.
4. Bohling, G. C., and, J. J. Butler, (2010), Inherent limitations of hydraulic tomography, Ground Water, 48 (6), 809-824, doi: 10.1111/j.1745-6584. 2010.00757.x.
5. Bohling, G. C., X. Zhan, J. J. Butler Jr,., and, L. Zheng, (2002), Steady shape analysis of tomographic pumping tests for characterization of aquifer heterogeneities, Water Resour. Res., 38 (12), 1324, doi: 10.1029/2001WR001176.
6. Bohling, G. C., J. J. Butler Jr,., X. Zhan, and, M. D. Knoll, (2007), A field assessment of the value of steady shape hydraulic tomography for characterization of aquifer heterogeneities, Water Resour. Res., 43 (5), W05430, doi: 10.1029/2006WR004932. (Pubitemid 46998231)
7. Boulton, N. S., (1963), Analysis of data from non-equilibrium pumping tests allowing for delayed yield from storage, paper presented at ICE Proceedings.
8. Brauchler, R., R. Liedl, and, P. Dietrich, (2003), A travel time based hydraulic tomographic approach, Water Resour. Res., 39 (12), 1370, doi: 10.1029/2003WR002262.
9. Brauchler, R., R. Hu, P. Dietrich, and, M. Sauter, (2011), A field assessment of high-resolution aquifer characterization based on hydraulic travel time and hydraulic attenuation tomography, Water Resour. Res., 47 (3), W03503, doi: 10.1029/2010WR009635.
10. Bruggeman, G., (1972), The reciprocity principle in flow through heterogeneous porous media, in Fundamentals of Transport Phenomena in Porous Media, edited by IAHR, pp. 136-149, Elsevier, Amsterdam.
11. Brutsaert, W., (1970), Immiscible multiphase flow in ground water hydrology: A computer analysis of the well flow problem, Ph.D. thesis, 119 pp., Colo. State Univ., Fort Collins, Colo.
12. Cardiff, M., and, W. Barrash, (2011), 3-D transient hydraulic tomography in unconfined aquifers with fast drainage response, Water Resour. Res., 47, W12518, doi: 10.1029/2010WR010367.
13. Cardiff, M., W. Barrash, P. K. Kitanidis, B. Malama, A. Revil, S. Straface, and, E. Rizzo, (2009), A potential-based inversion of unconfined steady-state hydraulic tomography, Ground Water, 47 (2), 259-270, doi: 10.1111/j.1745-6584.2008.00541.x.
14. Castagna, M., and, A. Bellin, (2009), A Bayesian approach for inversion of hydraulic tomographic data, Water Resour. Res., 45, W04410, doi: 10.1029/2008WR007078.
15. Chapman, B., G. Jost, R. van der Pas, and, D. J. Kuck, (2007), Using OpenMP: Portable Shared Memory Parallel Programming, MIT Press, Cambridge, Mass.
16. Cooper, H. H., and, C. E. Jacob, (1946), A generalized graphical method for evaluating formation constants and summarizing well field history, Am. Geophys. Union Trans., 27, 526-534.
17. Dagan, G., (1967), A method of determining the permeability and effective porosity of unconfined anisotropic aquifers, Water Resour. Res., 3 (4), 1059-1071, doi: 10.1029/WR003i004p01059.
18. Endres, A., J. Jones, and, E. Bertrand, (2007), Pumping-induced vadose zone drainage and storage in an unconfined aquifer: A comparison of analytical model predictions and field measurements, J. Hydrol., 335 (1-2), 207-218, doi: 10.1016/j.jhydrol.2006.07.018. (Pubitemid 46328937)
19. Fienen, M. N., T. Clemo, and, P. K. Kitanidis, (2008), An interactive Bayesian geostatistical inverse protocol for hydraulic tomography, Water Resour. Res., 44, W00B01, doi: 10.1029/2007WR006730.
20. Gardner, W., (1958), Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table, Soil Sci, 85 (4), 228-232.
21. Gottlieb, J., and, P. Dietrich, (1995), Identification of the permeability distribution in soil by hydraulic tomography, Inverse Probl., 11 (2), 353-360.
22. Gropp, W., E. Lusk, and, A. Skjellum, (1999), Using MPI: Portable Parallel Programming with the Message Passing Interface, 2nd ed., MIT Press, Cambridge, Mass.
23. Gutjahr, A. L., (1989), Fast Fourier Transforms for Random Field Generation: Project Report for Los Alamos Grant to New Mexico Tech, N. M. Inst. of Min. and Technol., Socorro.
24. Huang, S.-Y., J.-C. Wen, T.-C. J. Yeh, W. Lu, H.-L. Juan, C.-M. Tseng, J.-H. Lee, and, K.-C. Chang, (2011), Robustness of joint interpretation of sequential pumping tests: Numerical and field experiments, Water Resour. Res., 47, W10530, doi: 10.1029/2011WR010698.
25. Hughson, D. L., and, T.-C. J. Yeh, (2000), An inverse model for three-dimensional flow in variably saturated porous media, Water Resour. Res., 36 (4), 829-839, doi: 10.1029/2000WR900001. (Pubitemid 30181370)
26. Illman, W. A., X. Y. Liu, and, A. Craig, (2007), Steady-state hydraulic tomography in a laboratory aquifer with deterministic heterogeneity: Multi-method and multiscale validation of hydraulic conductivity tomograms, J. Hydrol., 341 (3-4), 222-234, doi: 10.1016/j.jhydrol.2007.05.011. (Pubitemid 47030450)
27. Illman, W. A., A. J. Craig, and, X. Liu, (2008), Practical issues in imaging hydraulic conductivity through hydraulic tomography, Ground Water, 46 (1), 120-132, doi: 10.1111/j.1745-6584.2007.00374.x.
28. Illman, W. A., X. Liu, S. Takeuchi, T.-C. J. Yeh, K. Ando, and, H. Saegusa, (2009), Hydraulic tomography in fractured granite: Mizunami Underground Research site, Japan, Water Resour. Res., 45 (1), W01406, doi: 10.1029/2007WR006715.
29. Illman, W. A., J. F. Zhu, A. J. Craig, and, D. T. Yin, (2010), Comparison of aquifer characterization approaches through steady state groundwater model validation: A controlled laboratory sandbox study, Water Resour. Res., 46, W04502, doi: 10.1029/2009WR007745.
30. Illman, W. A., S. J. Berg, and, T.-C. J. Yeh, (2012), Comparison of approaches for predicting solute transport: sandbox experiments, Ground Water, 50 (3), 421-431, doi: 10.1111/j.1745-6584.2011.00859.x.
31. Lakshminarayana, V., and, S. P. Rajagopalan, (1978), Type-curve analysis of time-draw down data for partially penetrating wells in unconfined anisotropic aquifers, Ground Water, 16 (5), 328-333, doi: 10.1111/j.1745-6584.1978.tb03245. x.
32. Li, B., and, T.-C. J. Yeh, (1998), Sensitivity and moment analyses of head in variably saturated regimes, Adv. Water Res., 21 (6), 477-485, doi: 10.1016/s0309-1708(97)00011-0. (Pubitemid 28492681)
33. Li, B., and, T.-C. J. Yeh, (1999), Cokriging estimation of the conductivity field under variably saturated flow conditions, Water Resour. Res., 35 (12), 3663-3674, doi: 10.1029/1999WR900268.
34. Li, W., A. Englert, O. A. Cirpka, J. Vanderborght, and, H. Vereecken, (2007), Two-dimensional characterization of hydraulic heterogeneity by multiple pumping tests, Water Resour. Res., 43 (4), W04433, doi: 10.1029/2006WR005333. (Pubitemid 46799539)
35. Liu, S., T.-C. J. Yeh, and, R. Gardiner, (2002), Effectiveness of hydraulic tomography: Sandbox experiments, Water Resour. Res., 38 (4), 1034, doi: 10.1029/2001WR000338.
36. Liu, X., and, P. K. Kitanidis, (2011), Large-scale inverse modeling with an application in hydraulic tomography, Water Resour. Res., 47 (2), W02501, doi: 10.1029/2010WR009144.
37. Liu, X., W. A. Illman, A. J. Craig, J. Zhu, and, T.-C. J. Yeh, (2007), Laboratory sandbox validation of transient hydraulic tomography, Water Resour. Res., 43 (5), W05404, doi: 10.1029/2006WR005144. (Pubitemid 46998209)
38. Mao, D., L. Wan, T.-C. J. Yeh, C.-H. Lee, K.-C. Hsu, J.-C. Wen, and, W. Lu, (2011), A revisit of drawdown behavior during pumping in unconfined aquifers, Water Resour. Res., 47, W05502, doi: 10.1029/2010WR009326.
39. Mao, D., T.-C. J. Yeh, L. Wan, K.-C. Hsu, C.-H. Lee, and, J.-C. Wen, (2013a), Necessary conditions for inverse modeling of flow through variably saturated porous media, Adv. Water Res., 52, 50-61, doi: 10.1016/j.advwatres. 2012.08.001.
40. Mao, D., T.-C. J. Yeh, L. Wan, C.-H. Lee, K.-C. Hsu, J.-C. Wen, and, W. Lu, (2013), Cross-correlation analysis and information content of observed heads during pumping in unconfined aquifers, Water Resour. Res., 49, doi: 10.1002/wrcr.20066.
41. Mathias, S. A., and, A. P. Butler, (2006), Linearized Richards' equation approach to pumping test analysis in compressible aquifers, Water Resour. Res, 42, W06408, doi: 10.1029/2005WR004680. (Pubitemid 44159929)
42. Mishra, P. K., and, S. P. Neuman, (2010), Improved forward and inverse analyses of saturated-unsaturated flow toward a well in a compressible unconfined aquifer, Water Resour. Res., 46, W07508, doi: 10.1029/2009WR008899.
43. Moench, A. F., (1995), Combining the Neuman and Boulton models for flow to a well in an unconfined aquifer, Ground Water, 33 (3), 378-384.
44. Neuman, S. P., (1972), Theory of flow in unconfined aquifers considering delayed response of the water table, Water Resour. Res., 8 (4), 1031-1045, doi: 10.1029/WR008i004p01031.
45. Ni, C. F., and, T. C. J. Yeh, (2008), Stochastic inversion of pneumatic cross-hole tests and barometric pressure fluctuations in heterogeneous unsaturated formations, Adv. Water Res., 31 (12), 1708-1718.
46. Ni, C.-F., T.-C. J. Yeh, and, J.-S. Chen, (2009), Cost-effective hydraulic tomography surveys for predicting flow and transport in heterogeneous aquifers, Environ. Sci. Technol., 43 (10), 3720-3727, doi: 10.1021/es8024098.
47. Nwankwor, G. I., J. A. Cherry, and, R. W. Gillham, (1984), A comparative-study of specific yield determinations for a shallow sand aquifer, Ground Water, 22 (6), 764-772.
48. Russo, D., (1988), Determining soil hydraulic properties by parameter estimation: On the selection of a model for the hydraulic properties, Water Resour. Res., 24 (3), 453-459, doi: 10.1029/WR024i003p00453.
49. Russo, D., and, M. Bouton, (1992), Statistical analysis of spatial variability in unsaturated flow parameters, Water Resour. Res., 28 (7), 1911-1925. (Pubitemid 23373145)
50. Srivastava, R., and, T.-C. J. Yeh, (1992), A three dimensional numerical model for water flow and transport, Adv. Water Res., 15, 275-287.
51. Straface, S., T.-C. J. Yeh, J. Zhu, S. Troisi, and, C.-H. Lee, (2007), Sequential aquifer tests at a well field, Montalto Uffugo Scalo, Italy, Water Resour. Res., 43, W07432, doi: 10.1029/2006WR005287. (Pubitemid 350194484)
52. Streltsova, T. D., (1972a), Unsteady radial flow in an unconfined aquifer, Water Resour. Res., 8 (4), 1059-1066.
53. Streltsova, T. D., (1972b), Unconfined aquifer and slow drainage, J. Hydrol., 16 (2), 117-124, doi: 10.1016/0022-1694(72)90117-5.
54. Stüben, K., and, T. Clees, (2010), SAMG User's Manual, Fraunhofer Inst. SCAI, Sankt Augustin, Germany.
55. Theis, C. V., (1935), The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground water storage, Trans. Am. Geophys. Union, 16, 519-514.
56. Wen, J.-C., C.-M. Wu, T.-C. J. Yeh, and, C.-M. Tseng, (2010), Estimation of effective aquifer hydraulic properties from an aquifer test with multi-well observations (Taiwan), Hydrogeol. J., 18 (5), 1143-1155, doi: 10.1007/s10040-010-0577-1.
57. Wu, C.-M., T.-C. J. Yeh, J. Zhu, T.-H. Lee, N.-S. Hsu, C.-H. Chen, and, A. F. Sancho, (2005), Traditional analysis of aquifer tests: Comparing apples to oranges, Water Resour. Res., 41, W09402, doi: 10.1029/2004WR003717. (Pubitemid 41552188)
58. Xiang, J., T.-C. J. Yeh, C.-H. Lee, K.-C. Hsu, and, J.-C. Wen, (2009), A simultaneous successive linear estimator and a guide for hydraulic tomography analysis, Water Resour. Res., 45 (2), W02432, doi: 10.1029/2008WR007180.
59. Yeh, T.-C. J., and, C.-H. Lee, (2007), Time to change the way we collect and analyze data for aquifer characterization, Ground Water, 45 (2), 116-118, doi: 10.1111/j.1745-6584.2006.00292.x. (Pubitemid 46339102)
60. Yeh, T.-C. J., and, S. Liu, (2000), Hydraulic tomography: Development of a new aquifer test method, Water Resour. Res., 36 (8), 2095-2105, doi: 10.1029/2000WR900114. (Pubitemid 30610900)
61. Yeh, T.-C. J., and, J. Zhu, (2007), Hydraulic/partitioning tracer tomography for characterization of dense nonaqueous phase liquid source zones, Water Resour. Res., 43, W06435, doi: 10.1029/2006WR004877. (Pubitemid 47124456)
62. Yeh, T.-C. J., L. W. Gelhar, and, A. L. Gutjahr, (1985a), Stochastic analysis of unsaturated flow in heterogeneous soils: 1. Statistically isotropic media, Water Resour. Res, 21 (4), 447-456.
63. Yeh, T.-C. J., L. W. Gelhar, and, A. L. Gutjahr, (1985b), Stochastic analysis of unsaturated flow in heterogeneous soils: 2. Statistically anisotropic media with variable α, Water Resour. Res., 21 (4), 457-464.
64. Yeh, T.-C. J., L. W. Gelhar, and, A. L. Gutjahr, (1985c), Stochastic analysis of unsaturated flow in heterogeneous soils: 3. Observations and applications, Water Resour. Res., 21 (4), 465-471.
65. Yeh, T.-C. J., M. Jin, and, S. Hanna, (1996), An iterative stochastic inverse method: Conditional effective transmissivity and hydraulic head fields, Water Resour. Res., 32 (1), 85-92, doi: 10.1029/95WR02869. (Pubitemid 26309885)
66. Yeh, T.-C. J., D. Mao, L. Wan, C.-H. Lee, J.-C. Wen, and, K.-C. Hsu, (2011), Well definedness, scale consistency, and resolution issues in groundwater model parameter identification, Rep., Univ. of Arizona, Tucson, HWR 2011-010.
67. Yeh, T. C. J., D. Mao, L. Wan, C. H. Lee, J. C. Wen, and, W. Lu, (2012), Replies to comments on "A revisit of drawdown behavior during pumping in unconfined aquifers" by Neuman and Mishra, Water Resour. Res., 48 (2), W02802, doi: 10.1029/2011WR011153.
68. Yin, D. T., and, W. A. Illman, (2009), Hydraulic tomography using temporal moments of drawdown recovery data: A laboratory sandbox study, Water Resour. Res., 45, W01502, doi: 10.1029/2007WR006623.
69. Zhu, J., and, T.-C. J. Yeh, (2005), Characterization of aquifer heterogeneity using transient hydraulic tomography, Water Resour. Res., 41, W07028, doi: 10.1029/2004WR003790. (Pubitemid 41197307)
70. Zhu, J., and, T. C. J. Yeh, (2006), Analysis of hydraulic tomography using temporal moments of drawdown recovery data, Water Resour. Res., 42 (2), W02403, doi: 10.1029/2005WR004309.
71. Zhu, J., and, T.-C. J. Yeh, (2008), Hydraulic tomography to characterization of heterogeneity of unconfined aquifers, paper presented at AGU Fall Meeting, San Francisco, Calif.
72. Zhu, J., T.-C. J. Yeh, and, D. Mao, (2011), Hydraulic tomography to characterize heterogeneity of unconfined aquifers, J. Nanjing Univ., 47 (3), 252-264.