Characterization of aquifer heterogeneity using transient hydraulic tomography

Water Resources Research

Volumn 41, Issue 7, 2005, Pages 1-10

  Zhu, Junfeng ^a   Yeh, Tian Chyi J ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COST EFFECTIVENESS; DATA REDUCTION; HYDRAULICS; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); TOMOGRAPHY;

HYDRAULIC HEADS; INJECTION TESTS; SEQUENTIAL SUCCESSIVE LINEAR ESTIMATORS (SSLE); SUBSURFACES;

AQUIFERS;

AQUIFER CHARACTERIZATION; HETEROGENEITY; HYDRAULIC PROPERTY; TOMOGRAPHY;

EID: 23944504722     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2004WR003790     Document Type: Article

References (40)

1. Beckie, R., and C. F. Harvey (2002), What does a slug test measure: An investigation of instrument response and the effects of heterogeneity, Water Resour. Res., 38(12), 1290, doi:10.1029/2001WR001072.
2. 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.
3. 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.
4. Butler, J. J., Jr., and W. Z. Liu (1993), Pumping tests in nonuniform aquifers: The radially asymmetric case, Water Resour. Res., 29(2), 259-269.
5. Gottlieb, J., and P. Dietrich (1995), Identification of the permeability distribution in soil by hydraulic tomography, Inverse Probl., 11, 353-360.
6. Gutjahr, A. (1989), Fast Fourier transforms for random field generation, project report, contract 4-R58-2690 R, N. M. Inst. of Min. and Technol., Socorro.
7. Hanna, S., and T.-C. J. Yeh (1998), Estimation of co-conditional moments of transmissivity, hydraulic head, and velocity fields, Adv. Water Resour., 22(1), 87-95.
8. 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.
9. Kitanidis, P. K. (1986), Parameter uncertainty in estimation of spatial functions: Bayesian-analysis, Water Resour. Res., 22(4), 499-507.
10. Kitanidis, P. K. (1995), Quasi-linear geostatistical theory for inversing, Water Resour. Res., 31(10), 2411-2419.
11. Li, B., and T.-C. J. Yeh (1998), Sensitivity and moment analysis of head in variably saturated regimes, Adv. Water Resour., 21(6), 477-485.
12. 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.
13. Liu, S., and T.-C. J. Yeh (2004), An integrative approach for monitoring water movement in the vadose zone, Vadose Zone J., 3, 681-692.
14. 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.
15. Marquardt, D. W. (1963), An algorithm for least squares estimation of non-linear parameters, J. Soc. Ind. Appl. Math., 2, 431-441.
16. McDermott, C. I., M. Sauter, and R. Liedl (2003), New experimental techniques for pneumatic tomographical determination of the flow and transport parameters of highly fractured porous rock samples, J. Hydrol., 278(1-4), 51-63.
17. McLaughlin, D., and L. R. Townley (1996), A reassessment of the groundwater inverse problem, Water Resour. Res., 32(5), 1131-1162.
18. Mizell, S. A., L. W. Gelhar, and A. L. Gutjahr (1980), Stochastic analysis of spatial variability in two-dimensional groundwater flow with implications for observation-well-network design, Rep. H-6, Geophys. Res. Cent., N. M. Inst. of Min. and Technol., Socorro.
19. Nowak, W., and O. A. Cirpka (2004), A modified Levenberg-Marquardt algorithm for quasi-linear geostatistical inversing, Adv. Water Resour., 27(7), 737-750.
20. Renshaw, C. E. (1996), Estimation of fracture zone geometry from steady-state hydraulic head data using iterative sequential cokriging, Geophys. Res. Lett., 23(19), 2685-2688.
21. Srivastava, R., and T.-C. J. Yeh (1992), A three-dimensional numerical model for water flow and transport of chemically reactive solute through porous media under variably saturated conditions, Adv. Water Resour., 15, 275-287.
22. Sun, N.-Z. (1994), Inverse Problems in Groundwater Modeling, pp. 20-24, Springer, New York.
23. Sun, N.-Z., and W. W.-G. Yeh (1992), A stochastic inverse solution for transient groundwater flow: Parameter identification and reliability analysis, Water Resour. Res., 28(12), 3269-3280.
24. Sykes, J. F., J. L. Wilson, and R. W. Andrews (1985), Sensitivity analysis for steady state groundwater flow using adjoint operators, Water Resour. Res., 21(3), 359-371.
25. Tikhonov, A. N., and V. Y. Arsenin (1977), Solutions of Ill-Posed Problems, John Wiley, Hoboken, N. J.
26. Vargas-Guzman, A. J., and T.-C. J. Yeh (1999), Sequential kriging and cokring: Two powerful geostatistical approaches, Stochastic Environ. Res. Risk Assess., 13, 416-435.
27. Vargas-Guzman, A. J., and T.-C. J. Yeh (2002), The successive linear estimator: A revisit, Adv. Water Resour., 25, 773-781.
28. Vasco, D. W., H. Keers, and K. Karasaki (2000), Estimation of reservoir properties using transient pressure data: An asymptotic approach, Water Resour. Res., 36(12), 3447-3465.
29. Vesselinov, V. V., S. P. Neuman, and W. A. Illman (2001), 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), 3019-3042.
30. Wu, C.-M., T.-C. J. Yeh, 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., doi:10.1029/2004WR003717, in press.
31. Yeh, T.-C. J. (1992), Stochastic modeling of groundwater flow and solute transport in aquifers, J. Hydrol. Processes, 6, 369-395.
32. Yeh, T.-C. J. (1998), Scale issues of heterogeneity in vadose-zone hydrology, in Scale Dependence and Scale Invariance in Hydrology, edited by G. Sposito, Cambridge Univ. Press, New York.
33. Yeh, T.-C. J., and S. Liu (2000), Hydraulic tomography: Development of a new aquifer test method, Water Resour. Res., 36(8), 2095-2105.
34. Yeh, T.-C. J., and J. Šimůnek (2002), Stochastic fusion of information for characterizing and monitoring the vadose zone, Vadose Zone J., I, 207-221.
35. Yeh, T.-C., and J. Zhang (1996), A geostatistical inverse method for variably saturated flow in the vadose zone, Water Resour. Res., 32(9), 2757-2766.
36. Yeh, T.-C. J., A. L. Gutjahr, and M. H. Jin (1995), An iterative cokriging-like technique for ground water flow modeling, Ground Water, 33(1), 33-41.
37. Yeh, T.-C. J., M. Jin, and S. Hanna (1996), An iterative stochastic inverse approach: Conditional effective transmissivity and head fields, Water Resour. Res., 32(1), 85-92.
38. Yeh, T.-C. J., S. Liu, R. J. Glass, K. Baker, J. R. Brainard, D. Alumbaugh, and D. LaBrecque (2002), A geostatistically based inverse model for electrical resistivity surveys and its applications to vadose zone hydrology, Water Resour. Res., 38(12), 1278, doi:10.1029/2001WR001204.
39. Yeh, W. W.-G. (1986), Review of parameter-identification procedures in groundwater hydrology: The inverse problem, Water Resour. Res., 22(2), 95-108.
40. Zhang, J., and T.-C. J. Yeh (1997), An iterative geostatistical inverse method for steady flow in the vadose zone, Water Resour. Res., 33(1), 63-71.