Inverse modeling of partitioning interwell tracer tests: A streamline approach

Water Resources Research

Volumn 38, Issue 6, 2002, Pages 15-1-15-17

  Datta Gupta, Akhil ^a   Yoon, Seongsik ^a   Vasco, D W ^a   Pope, Gary A ^a  

^a Texas AandM University   (United States)

Author keywords

Inverse modeling; Parameter estimation; Partitioning tracer tests; Sensitivity computations; Streamline simulation

Indexed keywords

AQUIFERS; HYDRAULIC CONDUCTIVITY; POROSITY; REMEDIATION;

NONAQUEOUS PHASE LIQUID (NAPL);

WATER RESOURCES;

AQUIFER POLLUTION; NONAQUEOUS PHASE LIQUID; REMEDIATION; TRACER; WELL WATER;

UNITED STATES; UTAH;

EID: 0036592320     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001wr000597     Document Type: Article

References (46)

1. Anderman, E. R., and M. C. Hill, A new multistage groundwater transport inverse method: Presentation, evaluation, and implications, Water Resour. Res., 35(4), 1053-1063, 1999.
2. Annable, M. D., P. S. C. Rao, K. Hatfield, W. D. Graham, and A. L. Wood, Use of partitioning tracers for measuring residual NAPL distribution in a contaminated aquifer: Preliminary results from a field-scale test, Paper Presented at 2nd Annual Tracer Workshop, Univ. of Tex. at Austin, Nov. 14-15, 1994.
3. Annable, M. D., P. S. C. Rao, K. Hatfield, W. D. Graham, A. L. Wood, and C. G. Enfield, Partitioning tracers for measuring residual NAPL: Field-scale test results, J. Environ. Eng., 124(6), 498-503, 1998.
4. Borchers, B., T. Uram, and J. M. H. Hendrickx, Tikhonov regularization of electrical conductivity depth profiles in field soils, Soil Sci. Soc. Am. J., 61, 1004-1009, 1997.
5. Carrera, J., and S. P. Neuman, Estimation of aquifer parameters under transient and steady state conditions, I, Maximum likelihood method incorporating prior information, Water Resour. Res., 22(2), 199-210, 1986.
6. Constable, S. C., R. L. Parker, and C. G. Constable, Occam's inversion: A practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52(3), 289-300, 1987.
7. Crane, M. J., and M. J. Blunt, Streamline-based simulation of solute transport, Water Resour. Res., 35(10), 3061-3078, 1999.
8. 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.
9. Datta-Gupta, A., L. W. Lake, and G. A. Pope, Characterizing heterogeneous permeable media with spatial statistics and tracer data using sequential simulated annealing, Math. Geol., 27, 763-787, 1995.
10. Datta-Gupta, A., D. W. Vasco, and J. C. S. Long, On the sensitivity and spatial resolution of transient pressure and tracer data for heterogeneity characterization, SPE Formation Eval., 12(2), 137-144, 1997.
11. Datta-Gupta, A., K. N. Kulkarni, S. Yoon, and D. W. Vasco, Streamlines, ray tracing and production tomography: Generalization to compressible flow, Petroleum Geosci., 7, S75-S86, 2001.
12. Deng, F. W., J. H. Cushman, and J. W. Delleur, Adaptive estimation of the log fluctuating conductivity from tracer data at the Cape Cod site, Water Resour. Res., 29(12), 4011-4018, 1993.
13. Ezzedine, S., and Y. Rubin, A geostatistical approach to the conditional estimation of spatially distributed solute concentration and notes on the use of tracer data in the inverse problem, Water Resour. Res., 32(4), 853-862, 1996.
14. Gelhar, L. W., and M. A. Collins, General analysis of longitudinal dispersion in nonuniform flow, Water Resour. Res., 7, 1511-1521, 1971.
15. Golub, G. H., and C. F. Van Loan, Matrix Computations, Johns Hopkins Univ. Press, Laurel, Md., 1996.
16. Harvey, C. F., and S. M. Gorelick, Temporal moment-generating equations: Modeling transport and mass transfer in heterogeneous aquifers, Water Resour. Res., 31(8), 1895-1911, 1995.
17. Hyndman, D. W., J. M. Harris, and S. M. Gorelick, Coupled seismic and tracer test inversion for aquifer property characterization, Water Resour. Res., 30(7), 1965-1977, 1994.
18. James, A. I., W. D. Graham, K. Hatfield, P. S. C. Rao, and M. D. Annable, Optimal estimation of residual non-aqueous phase liquid saturations using partitioning tracer concentration data, Water Resour. Res., 33(12), 2621-2636, 1997.
19. James, A. I., W. D. Graham, K. Hatfield, P. S. C. Rao, and M. D. Annable, Estimation of spatially variable residual nonaqueous phase liquid saturations m nonuniform flow fields using partitioning tracer data, Water Resour. Res., 36(4), 999-1012, 1999.
20. Jin, M., M. Delshad, V. Dwarakanath, D. C. McKinney, G. A. Pope, K. Sepehrnoori, C. E. Tilburg, and R. E. Jackson, Partitioning tracer test for detection, estimation, and remediation performance assessment of sub-surface non aqueous phase liquids, Water Resour. Res., 31(5), 1201-1211, 1995.
21. King, M. J., and A. Datta-Gupta, Streamline simulation: A current perspective, In Situ, 22(1), 91-140, 1998.
22. Kitanidis, P. K., and E. G. Vomvoris, A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulations, Water Resour. Res., 19(3), 677-690, 1983.
23. Lanczos, C., An iterative method for the solution of the eigenvalue problem of linear differential and integral operators, J. Res. Nat. Bur. Stand., 45, 255-282, 1950.
24. Liu, C., and W. P. Ball, Application of inverse methods to contaminant source identification from aquitard diffusion profiles at Dover AFB, Delaware, Water Resour. Res., 35(7), 1975-1985, 1999.
25. Mauldon, A. D., K. Karasaki, S. J. Martel, J. C. S. Long, M. Landsfeld, A. Mensch, and S. Vomvoris, An inverse technique for developing models for fluid flow in fracture systems using simulated annealing, Water Resour. Res., 29(11), 3775-3789, 1993.
26. McLaughlin, D., and E. F. Wood, A distributed parameter approach for evaluating the accuracy of groundwater model predictions, 1, Theory, Water Resour. Res., 24(7), 1037-1047, 1988.
27. McLaughlin, D., and L. R. Townley, A reassessment of the groundwater inverse problem, Water Resour. Res., 32(5), 1131-1161, 1996.
28. Medina, A., and J. Carrera, Coupled estimation of flow and solute transport parameters, Water Resour. Res., 32(10), 3063-3076, 1996.
29. Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, Academic, San Diego, Calif., 1989.
30. Noble, B., and J. W. Daniel, Applied Linear Algebra, Prentice-Hall. Englewood Cliffs, N. J., 1977.
31. Nolet, G., Seismic wave propagation and seismic tomography, in Seismic Tomography: With Applications in Global Seismology and Exploration Geophysics, edited by G. Nolet, chap. 1, pp. 1-23, D. Reidel, Norwell, Mass., 1987.
32. Parker, R. L., Geophysical Inverse Theory, Princeton Univ. Press, Princeton, N. J., 1994.
33. Rubin, Y., and G. Dagan, Stochastic identification of transmissivity and effective recharge in steady groundwater flow, 2, Case study, Water Resour. Res., 23(7), 1193-1200, 1987.
34. Rubin, Y., and S. Ezzedine, The travel times of solutes at the Cape Cod tracer experiment data analysis, modeling, and structural parameters inference, Water Resour. Res., 33(7), 1537-1747, 1997.
35. Sun, N.-Z., and W. W.-G. Yeh, Coupled inverse problems in groundwater modeling, I, Sensitivity analysis and parameter identification, Water Resour. Res., 26, 2507-2525, 1990.
36. Vasco, D. W., and A. Datta-Gupta, Asymptotic solutions for solute transport: A formalism for tracer tomography, Water Resour. Res., 35(1), 1-16, 1999.
37. Vasco, D. W., and A. Datta-Gupta, Asymptotics, saturation fronts, and high resolution reservoir characterization, Trans. Porous Media, 42, 315-350, 2001.
38. Vasco, D. W., A. Datta-Gupta, and J. C. S. Long, Resolution and uncertainty in hydrologic characterization, Water Resour. Res., 33(3), 379-397, 1997.
39. Vasco, D. W., S. Yoon, and A. Datta-Gupta, Integrating dynamic data into high-resolution reservoir models using streamline-based analytic sensitivity coefficients, SPE J., Dec. 1999a.
40. Vasco, D. W., L. R. Johnson, and O. Marques, Global Earth structure: Inference and assessment, Geophys. J. Int., 137, 381-407, 1999b.
41. Vasco, D. W., H. Keers, and K. Karasaki, Estimation of reservoir properties using transient pressure data: An asymptotic approach, Water Resour. Res., 36(12), 3447-3465, 2000.
42. 6 as a partitioning tracer, Environ. Sci. Technol., 29(5), 1255-1258, 1995.
43. Woodbury, A. D., and E. A. Sudicky, Inversion of the Borden tracer experiment data: Investigation of stochastic moment models, Water Resour. Res., 28(9), 2387-2398, 1992.
44. Yeh, W. W.-G., Review of parameter identification procedures in ground-water hydrology: The inverse problem, Water Resour. Res., 22(2), 95, 1986.
45. Zhang, Y., and W. D. Graham, Spatial characterization of a hydrogeochemically heterogeneous aquifer using partitioning tracers: Optimal estimation of aquifer parameters, Water Resour. Res., 37(8), 2049-2063, 2001.
46. Zhou, C., W. Cai, Y. Luo, G. T. Schuster, and S. Hassanzadeh, Acoustic wave-equation traveltime and waveform inversion of crosshole seismic data, Geophysics, 60(3), 765-773, 1995.