Sensitivity and resolution of tomographic pumping tests in an alluvial aquifer

Water Resources Research

Volumn 45, Issue 2, 2009, Pages

  Bohling, Geoffrey C ^a  

^a UNIVERSITY OF KANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; DIAGNOSTIC RADIOGRAPHY; PARAMETER ESTIMATION; PUMPS; TOMOGRAPHY; WELL TESTING;

ALLUVIAL AQUIFERS; CONSTANT GRADIENTS; FLOW PROPERTIES; HIGH RESOLUTIONS; INFORMATION CONTENTS; MODEL DOMAINS; MULTIPLE WELLS; OBJECTIVE FUNCTIONS; OBSERVATION POINTS; PARAMETER SENSITIVITIES; PUMPING TESTS; PUMPING WELLS; SIMULTANEOUS ANALYSIS; STEADY-STATE MODELS; STORAGE COEFFICIENTS; TOMOGRAPHIC;

WATER WELLS;

DRAWDOWN; GROUNDWATER FLOW; PUMPING; RESOLUTION; SENSITIVITY ANALYSIS; TOMOGRAPHY; TRANSIENT FLOW;

EID: 62949229930     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008WR007249     Document Type: Article

References (62)

1. Aster, R. C., B. Borchers, and C. H. Thurber (2005), Parameter Estimation and Inverse Problems, 301 pp., Elsevier, Amsterdam.
2. Barrash, W., and T. Clemo (2002). Hierarchical geostatistics and multifacies systems: Boise Hydrogeophysical Research Site, Boise, Idaho, Water Resour. Res., 35(10), 1196, doi: 10.1029/2002WR001436.
3. Barrash, W., and E. C. Reboulet (2004), Significance of porosity for stratigraphy and textural composition in subsurface, coarse fluvial deposits: Boise Hydrogeophysical Research Site, Geol. Soc. Am. Bull., 9/10, 1037-1059, doi: 10.1130/B25370.1.
4. Boggs, J. M., S. C. Young, and L. M. Beard (1992), Field study of dispersion in a heterogeneous aquifer: 1. Overview and site description, Water Resour. Res., 25(12), 3281-3291, doi: 10.1029/92WR01756.
5. Bohling, G. C. (1993), Hydraulic tomography in two-dimensional, steady state groundwater flow, Eos Trans. AGU, 74, 141.
6. Bohling, G. C. (2008), Information fusion in regularized inversion of tomographic pumping tests, in Quantitative Information for Hydrological Sciences, Stud. Comput. Intell., 79, 137-162, Sringer, Berlin.
7. Bohling, G. C, and J. J. Butler Jr. (2001), Lr2dinv: A finite-difference model for inverse analysis of two-dimensional linear or radial groundwater flow, Comput. Geosci., 27(10), 1147-1156, doi: 10.1016/S0098-3004(01)00036-X.
8. 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., 35(12), 1324, doi: 10.1029/2001WR001176.
9. 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, W05430, doi: 10.1029/2006WR004932.
10. 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.
11. Butler, J. J., Jr. (1988), Pumping tests in nonuniform aquifers - he radially symmetric case, J. Hydrol., 101(1-4), 15-30.
12. Butler, J. J., Jr. (1990), The role of pumping tests in site characterization: Some theoretical considerations, Ground Water, 25(3), 394-402, doi: 10.1111/j.1745-6584.1990.tb02269.x.
13. Butler, J. J., Jr. (2005). Hydrogeological methods for estimation of hydraulic conductivity, edited by Y. Rubin and S. Hubbard, in Hydrogeophysics, pp. 23-58, Springer, New York.
14. Butler, J. J., Jr., and C. D. McElwee (1990), Variable-rate pumping tests for radially symmetric nonuniform aquifers, Water Resour. Res., 26(2), 291-306.
15. Butler, J. J., Jr., and C. D. McElwee (1995), Well-testing methodology for characterizing heterogeneities in alluvial-aquifer systems: Final technical report, Kans. Geol. Surv. Open File, 75-95.
16. Butler, J. J., Jr., and X. Zhan (2004), Hydraulic tests in highly permeable aquifers, Water Resour. Res., 40, W12402, doi: 10.1029/2003WR002998.
17. Butler, J. J., Jr., C. D. McElwee, and G. C. Bohling (1999), Pumping tests in networks of multilevel sampling wells: Motivation and methodology. Water Resour. Res., 35(11), 3553-3560, doi: 10.1029/1999WR900231.
18. Caers, J. (2005), Petroleum Geostatistics, 88 pp., Soci. of Pet. Eng., Richardson, Tex.
19. Carrera, J., A. Alcolea, A. Medina, J. Hidalgo, and L. J. Slooten (2005), Inverse problem in hydrogeology, Hydrogeol. J., 13, 206-222, doi: 10.1007/s10040-004-0404-7.
20. Carrerra, J., and S. P. Neuman (1986), Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information, Water Resour. Res., 22(2), 199-210, doi: 10.1029/WR022i002p00199.
21. Clemo, T., P. Michaels, and R. M. Lehman (2003), Transmissivity resolution obtained from the inversion of transient and pseudo-steady drawdown measurements, in Proceedings of MODFLOW and More 2003 Understanding Through Modeling, pp. 629-633, Int. Ground Water Model. Cent., Golden Colo.
22. Cooper, H. H., Jr., and C. E. Jacob (1946), A generalized graphical method for evaluating formation constants and summarizing well field history, Eos Trans. AGU, 27, 526-534.
23. Dagan, G. (1989), Flow and Transport in Porous Formations, 465 pp., Springer, New York.
24. Dagan, G., and S. P. Neuman (1997), Subsurface Flow and Transport: A Stochastic Approach, 241 pp., Cambridge Univ. Press, Cambridge, U.K.
25. Doherty, J. (2003), Ground water model calibration using pilot points and regularization, Ground Water, 41(2), 170-177, doi: 10.1111/j.1745-6584. 2003.tb02580.x.
26. Driscoll, F. G. (1986), Groundwater and Wells, 2nd ed., 1089 pp., Johnson Div., St. Paul, Minn.
27. Einarson, M. D., and J. A. Cherry (2002), A new multilevel ground water monitoring system using multichannel tubing, Ground Water Monit. Rem., 22(4), 52-65, doi: 10.111l/j.l745-6592.2002.tb00771.x.
28. Fienen, M. N., T. Clemo, and P. K. Kitanids (2008), An interactive Bayesian geostatistical inverse protocol for hydraulic tomography, Water Resour. Res., 44, W00B01, doi: 10.1029/2007WR006730.
29. Gelhar, L. W., and C. L. Axness (1983), Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19(1), 161 - 180, doi: 10.1029/WRO19i001p00161.
30. Gottlieb, J., and P. Dietrich (1995), Identification of the permeability distribution in soil by hydraulic tomography, Inverse Probl., 11, 353-360, doi: 10.1088/0266-5611/11/2/005.
31. Hastie, T., R. Tibshirani, and J. Friedman (2001), The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 533 pp., Springer, New York.
32. Illman, W. A., X. 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.
33. 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.
34. Kitanidis, P. K. (1995), Quasi-linear geostatistical theory for inversing, Water Resour. Res., 3/(10), 2411-2419, doi: 10.1029/95WR01945.
35. Koltermann, C. E., and S. M. Gorelick (1996), Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches, Water Resour. Res., 32(9), 2617-2658, doi: 10.1029/96WR00025.
36. Kruseman, G. P., and N. A. de Ridder (1990), Analysis and evaluation of pumping test data, ILRI Publ., 47, 311 pp., Int. Inst. for Land Reclam. and lmpr., Wageningen, Netherlands.
37. 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.
38. 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, W05404, doi: 10.1029/2006WR005144.
39. McElwee, C. D. (1982), Sensitivity analysis and the ground-water inverse problem, Ground Water, 20(6), 723-735, doi: 10.1111/j.1745-6584.1982. tb01392.x.
40. Meier, P. M., J. Carrera, and X. Sanchez-Vila (1998), An evaluation of Jacob's method for the interpretation of pumping tests in heterogeneous formations, Water Resour. Res., 34(5), 1011-1025, doi: 10.1029/98WR00008.
41. Menke, W. (1989), Geophysical Data Analysis: Discrete Inverse Theory, rev. ed., 289 pp., Academic, San Diego, Calif.
42. Neuman, S. P. (1987), Stochastic continuum representation of fractured rock permeability as an alternative to the REV and fracture network concepts, in Proc. U.S. Rock Mech. Symp., 28, 533-561.
43. Rubin, Y., and S. S. Hubbard (Eds.) (2005), Hydrogeophysics, 523 pp., Springer, Dordrecht, Netherlands.
44. Rushton, K. R., and Y. K. Chan (1977), Numerical pumping test analysis in unconfined aquifers, J. Irrig. Drain. Div. Am. Soc. Civ. Eng., 103(IR1), 1-12.
45. Sanchez-Vila, X., P. M. Meier, and J. Carrera (1999), Pumping tests in heterogeneous aquifers: An analytical study of what can be obtained from their interpretation using Jacob's method, Water Resour. Res., 35(4), 943-952, doi: 10.1029/1999WR900007.
46. Settari, A., and K. Aziz (1974), A computer model for two-phase coning simulation, SPE J., 14(3), 221-236.
47. 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.
48. Sudicky, E. A. (1986), A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process, Water Resour. Res., 22(13), 2069-2082, doi: 10.1029/WR022i013p02069.
49. Sun, N.-Z. (1994), Inverse Problems in Groundwater Modeling, 337 pp., Kluwer Acad, Dordrecht, Netherlands.
50. Telford, W. M., L. P. Geldart, R. E. Sheriff, and D. A. Keys (1976), Applied Geophysics, 860 pp., Cambridge Univ. Press, New York.
51. Tonkin, M. J., and J. Doherty (2005), A hybrid regularization methodology for highly parameterized environmental models, Water Resour. Res., 41, W10412, doi: 10.1029/2005WR003995.
52. Tosaka, H., K. Masumoto, and K. Kojima (1993), Hydropulse tomography for identifying 3-D permeability distribution, in High Level Radioactive Waste Management: Proceedings of the Fourth Annual International Conference of the ASCE, pp. 955-959, Am. Soc. Civ. Eng., Reston, Va.
53. Vasco, D. W., A. Datta-Gupta, and J. C. S. Long (1997), Resolution and uncertainty in hydrologic characterization, Water Resour. Res., 33(3), 379-397, doi: 10.1029/96WR03301.
54. Vesselinov, V. V., S. P. Neuman, and W. A. Illman (2001a), Three-dimensional numerical inversion of pneumatic cross-hole tests in unsaturated fractured tuff: 1. Methodology and borehole effects, Water Resour. Res., 37(12). 3001-3017, doi: 10.1029/2000WR000133.
55. Vesselinov, V. V., S. P. Neuman, and W. A. Illman (2001b), Three-dimensional numerical inversion of pneumatic cross-hole tests in unsaturated fractured tuff: 2. Equivalent parameters, high-resolution stochastic imaging, and scale effects, Water Resour. Res., 37(12), 3019-3041, doi: 10.1029/2000WR000135.
56. Vogel, C. R. (2002), Computational Methods for Inverse Problems, 183 pp., Soc. for lnd. and Appl. Math., Philadelphia, Pa.
57. Xia, J., R. D. Miller, and Y. Xu (2008). Data-resolution matrix and model-resolution matrix for Rayleigh-wave inversion using a damped least-squares method, Pure Appl. Geophvs., 165, 1227-1248, doi.T0.1007/S00024-008- 0364-2.
58. 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.
59. Yeh, W. W.-G. (1986), of parameter identification procedures in groundwater hydrology: The inverse problem, Water Resour. Res., 22(2), 95-108, doi: 10.1029AVR022i002p00095.
60. Zemansky, G. M., and C. D. McElwee (2005), High-resolution slug testing, Ground Water, 43(2), 222-230, doi: 10.1111/J.1745-6584.2005.0008.X.
61. Zheng, C., and S. M. Gorelick (2003), Analysis of solute transport in flow fields influenced by preferential flow paths at the decimeter scale, Ground Water, 41(2), 142-155, doi: 10.111 l/j.1745-6584.2003.tb02578.x.
62. Zhu, J., and T.-C. J. Yeh (2005), Characterization of aquifer heterogeneity using transient hydraulic tomography. Water Resour. Res., 41, W07028, doi: 10.1029/2004WR003 790.