Resolution and uncertainty in hydrologic characterization

Water Resources Research

Volumn 33, Issue 3, 1997, Pages 379-397

  Vasco, D W ^a   Datta Gupta, Akhil ^a,b   Long, Jane C S ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b Texas A M University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL STORAGE; ECONOMIC AND SOCIAL EFFECTS; FRACTURE; HYDRAULIC CONDUCTIVITY; HYDROLOGY; INVERSE PROBLEMS; PARAMETER ESTIMATION; POROSITY; RADIOACTIVE WASTES; RELIABILITY ANALYSIS; SOFTWARE TESTING; WELL TESTING;

CONDUCTIVITY VARIATION; HYDROLOGIC PARAMETERS; HYDROLOGICAL PROPERTIES; INVERSE TECHNIQUES; PERMEABILITY AND POROSITIES; SPATIAL RESOLUTION; TRANSIENT PRESSURES; UNCERTAINTY ESTIMATES;

UNCERTAINTY ANALYSIS;

HYDRAULIC CONDUCTIVITY; PERMEABILITY; WATER RESOURCES; WELL TESTING;

GROUNDWATER; HYDROLOGICAL MODELLING; MODELLING; PARAMETER RESOLUTION; SPATIAL AVERAGING;

EID: 0030619322     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/96WR03301     Document Type: Article

References (25)

1. Backus, G., and J. F. Gilbert, Numerical applications of a formalism for geophysical inverse problems, Geophys. J. R. Astron. Soc., 13, 247-276, 1967.
2. Backus, G., and J. F. Gilbert, The resolving power of gross earth data, Geophys. J. R. Astron. Soc., 16, 169-205, 1968.
3. Backus, G., and J. F. Gilbert, Uniqueness in the inversion of inaccurate gross earth data, Philos. Trans. R. Soc. London, Ser. A, 266, 123-192, 1970.
4. Carrera, J., and S. P. Neuman, Estimation of aquifer parameters under transient and steady state conditions, 1, Maximum likelihood method incorporating prior information, Water Resour. Res., 22, 199-210, 1986.
5. Datta-Gupta, A., and M. J. King, A semianalytical approach to tracer flow modeling in heterogeneous permeable media, Adv. Water Resour., 18, 9-24, 1995.
6. Datta-Gupta, A., G. A. Pope, K. Sephernoori, and R. L. Thrasher, A symmetric positive-definite formulation of a three dimensional micellar-polymer simulator, SPE Reservoir Eng., 1, 622-632, 1986.
7. Datta-Gupta, A., D. W. Vasco, J. C. S. Long, P. S. D'Onfro, and W. D. Rizer, Detailed characterization of a fractured limestone formation by use of stochastic inverse approaches, SPE Form. Eval., 10, 133-140, 1995.
8. Davey, A., K. Karasaki, J. C. S. Long, M. Landsfeld, A. Mensch, and S. J. Martel, Analysis of the Hydraulic Data from the MI Fracture Zone at the Grimsel Rock Laboratory, Switzerland, NAGRA-DOE Coop. Proj. Rep. NDC-15, Lawrence Berkeley Lab., Berkeley, Calif., 1989.
9. Doughty, C., J. C. S. Long, K. Hestir, and S. M. Benson, Hydrologic characterization of heterogeneous geologic media with an inverse method based on iterated function systems, Water Resour. Res., 30(6), 1721-1745, 1994.
10. Finsterle, S., and K. Pruess, Solving the estimation-identification problem in two-phase flow modeling, Water Resour. Res., 31, 913-924, 1995.
11. Gill, P. E., W. Murray, and M. H. Wright, Practical Optimization, Academic, San Diego, Calif., 1981.
12. Long, J. C. S., C. Doughty, K. Hestir, and S. Martel, Modeling heterogeneous and fractured reservoirs with inverse methods based on iterated function systems, in Reservoir Characterization, vol. III, edited B. Linville, pp. 471-503, Penn Well, Tulsa, Okla., 1993.
13. Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, Academic, San Diego, Calif., 1984.
14. Neuman, S. P., and S. Yakowitz, A statistical approach to the inverse problem in aquifer hydrology, 1, Theory, Water Resour. Res., 15, 845-860, 1979.
15. Oliver, D. S., The averaging process in permeability estimation from well-test data, SPE Form. Eval., 5, 319-324, 1990.
16. Oliver, D. S., The influence of nonuniform transmissivity and storativity on drawdown, Water Resour. Res., 29, 169-178, 1993.
17. Parker, R., Geophysical Inverse Theory, Princeton Univ. Press, Princeton, N. J., 1994.
18. Silliman, S. E., Interpretation of the difference between aperture estimates derived from hydraulic and tracer tests in a single fracture, Water Resour. Res., 25, 2275-2283, 1989.
19. Smith, J. L., C. W. Mase, and F. W. Schwartz, Estimation of fracture aperture using hydraulic and tracer tests, Proceedings 28th US Symposium on Rock Mechanics, pp. 453-463, A. A. Balkema, Rotterdam, 1987.
20. Snieder, R., An extension of Backus-Gilbert theory to nonlinear inverse problems, Inverse Probl., 7, 409-433, 1991.
21. Solexperts, Nagra migration long term constant Q test in BOMI 87.009, test analysis and description, Rep., 566, Zurich, 1989.
22. Tarantola, A., Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation, Elsevier Sci., New York, 1987.
23. Vasco, D. W., A transformational approach to geophysical inverse problems, Geophys. J. Int., 123, 183-212, 1995.
24. Woodbury, A. D., Inverse theory and model identifiability, An overview, in Centennial Symposium on Management of Waste Contamination of Groundwater, edited by R. Young, CSCE, 1987.
25. Yeh, W. W-G., Review of parameter identification procedures in groundwater hydrology: The inverse problem, Water Resour. Res., 22, 95-108, 1986.