Effects of spatially variable resolution on field-scale estimates of tracer concentration from electrical inversions using Archie's law

Geophysics

Volumn 71, Issue 3, 2006, Pages

  Singha, Kamini ^a,b   Gorelick, Steven M ^a  

^a STANFORD UNIVERSITY   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Hydrology; Terrestrial electricity; Tracers

Indexed keywords

DATA REDUCTION; GEOMAGNETISM; HYDROLOGY; THREE DIMENSIONAL; TOMOGRAPHY;

ARCHIE'S LAW; ELECTRICAL RESISTIVITY TOMOGRAPHY; TERRESTRIAL ELECTRICITY; TRACERS;

GEOPHYSICS;

ELECTRICAL RESISTIVITY; FIELD METHOD; INVERSE ANALYSIS; NUMERICAL MODEL; PARAMETERIZATION; TOMOGRAPHY;

EID: 33745109970     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2194900     Document Type: Article

References (38)

1. Archie, G. E., 1942, The electrical resistivity log as an aid in determining some reservoir characteristics: Transactions of the American Institute of Mining, Metallurgical and Petroleum Engineers, 146, 54-62. tae TAIMAF 0096-4778
2. Barber, L. B., 1987, Influence of geochemical heterogeneity in a sand and gravel aquifer on the transport of nonionic organic solutes - Methods of sediment characterization, in U. S. Geological Survey program on toxic waste - Ground-water contamination, B. J. Franks, ed., B45-B51. Proceedings of the Third Technical Meeting, U. S. Geological Survey Open-File Report 87-109.
3. Binley, A., G. Cassiani, R. Middleton, and P. Winship, 2002, Vadose zone flow model parameterisation using cross-borehole radar and resistivity imaging Journal of Hydrology, 267, 147-159. 9rl JHYDA7 0022-1694
4. Binley A., A. Ramirez, and W. Daily, 1995, Regularised image reconstruction on noisy electrical resistance tomography data: 4th Workshop of the European Concerted Action on Process Tomograpgy, Proceedings, 401-410.
5. Ceazan, M. L., E. M. Thurman, and R. L. Smith, 1989, Retardation of ammonium and potassium transport through a contaminated sand and gravel aquifer: The role of cation exchange: Environmental Science &Technology, 23, 1402-1408. est ESTHAG 0013-936X 10.1021/es00069a012
6. Daily, W., and A. Ramirez, 1995, Electrical resistance tomography during in-situ trichloroethylene remediation at the Savannah River site: Journal of Applied Geophysics, 33, 239-249. c4u JAGPEA 0926-9851
7. Daily, W., A. Ramirez, D. LaBrecque, and J. Nitao, 1992, Electrical resistivity tomography of vadose water movement: Water Resources Research, 28, 1429-1442. wre WRERAQ 0043-1397 10.1029/91WR03087
8. Day-Lewis, F. D., and J. W. Lane Jr., 2004, Assessing the resolution-dependent utility of tomograms for geostatistics: Geophysical Research Letters, 31, L07503 doi:07510.01029/02004GL019617. gpr GPRLAJ 0094-8276 10.1029/2004GL019617
9. Day-Lewis, F. D., K. Singha, and A. M. Binley, 2005, Applying petrophysical models to radar traveltime and electrical-resistivity tomograms: Resolution-dependent limitations: Journal of Geophysical Research, 110, B08206 doi:10.1029/2004JB003569. jgr JGREA2 0148-0227 10.1029/2004JB003569
10. Ellis, R. G., and D. W. Oldenburg, 1994, Applied geophysical inversion: Geophysical Journal International, 116, 5-11. gji GJINEA 0956-540X
11. Garabedian, S. P., D. R. LeBlanc, L. W. Gelhar, and M. A. Celia, 1991, Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 2, Analysis of spatial moments for a nonreactive tracer: Water Resources Research, 27, 911-924. wre WRERAQ 0043-1397 10.1029/ 91WR00242
12. Gelhar, L. W., C. Welty, and K. R. Rehfeldt, 1992, A critical review of data on field-scale dispersion in aquifers: Water Resources Research, 28, 1955-1974. wre WRERAQ 0043-1397 10.1029/92WR00607
13. Guyod, H., 1944, Fundamental data for the interpretation of electric logs: Oil Weekly, 115, 21-27.
14. Harbaugh, A. W., and M. G. McDonald, 1996, User's documentation for MODFLOW-96, an update to the U. S. Geological Survey Modular Finite-Difference Ground-Water Flow Model: U. S. Geological Survey Open-File Report 96-485.
15. Kemna, A., 2000, Tomographic inversion of complex resistivity: Theory and application: Ph.D. dissertation, Ruhr University.
16. Kemna, A., J. Vanderborght, B. Kulessa, and H. Vereeken, 2002, Imaging and characterisation of subsurface solute transport using electrical resistivity tomography (ERT) and equivalent transport models: Journal of Hydrology, 267, 125-146. 9rl JHYDA7 0022-1694
17. Knight, R. J. and A. L. Endres, 2005, Physical properties of near-surface materials and approaches to geophysical determination of properties, in D. Butler, ed., An introduction to rock physics for near-surface applications: SEG.
18. LaBrecque, D. J., M. Miletto, W. Daily, A. Ramirez, and E. Owen, 1996, The effects of noise on Occam's inversion of resistivity tomography data: Geophysics, 61, 538-548. gpy GPYSA7 0016-8033 10.1190/1.1443980
19. Lane, J. W., Jr., F. D. Day-Lewis, R. J. Versteeg, and C. C. Casey, 2004, Object-based inversion of crosswell radar tomography data to monitor vegetable oil injection experiments: Journal of Environmental and Engineering Geophysics, 9, 63-77. c8e ZZZZZZ 1083-1363
20. Mavko, G., T. Mukerji, and J. Dvorkin, 1998, The rock physics handbook: Cambridge University Press.
21. Moysey, S., and R. J. Knight, 2004, Modeling the field-scale relationship between dielectric constant and water content in heterogeneous systems: Water Resources Research, 40, W03510 doi:03510.01029/02003WR002589. wre WRERAQ 0043-1397 10.1029/2003WR002589
22. Moysey, S., K. Singha, and R. Knight, 2005, A framework for inferring field-scale rock physics relationships through numerical simulation: Geophysical Research Letters, 32, L08304 doi:08310.01029/02004GL022152. gpr GPRLAJ 0094-8276 10.1029/2004GL022152
23. Park, S. K., 1998, Fluid migration in the vadose zone from 3-D inversion of resistivity monitoring data: Geophysics, 63, 41-51. gpy GPYSA7 0016-8033 10.1190/1.1444326
24. Patnode, H. W., and M. R. J. Wyllie, 1950, The presence of conductive solids in reservoir rocks as a factor in electric log interpretation: Petroleum Transactions, The American Institute of Mining, Metallurgical, and Petroleum Engineers, 189, 47-52. tae TAIMAF 0096-4778
25. Ramirez, A., and W. Daily, 2001, Electrical imaging at the large block test - Yucca Mountain, Nevada: Journal of Applied Geophysics, 46, 85-100. c4u JAGPEA 0926-9851
26. Ramirez, A., W. Daily, D. LaBrecque, E. Owen, and D. Chesnut, 1993, Monitoring an underground steam injection process using electrical resistance tomography Water Resources Research, 29, 73-87. wre WRERAQ 0043-1397 10.1029/92WR01608
27. Ramirez, A., R. Newmark, and W. Daily, 2003, Monitoring carbon dioxide floods using electrical resistance tomography (ERT): Sensitivity studies: Journal of Environmental and Engineering Geophysics, 8, 187-208. c8e ZZZZZZ 1083-1363
28. Ramirez, A. L., J. J. Nitao, W. G. Hanley, R. Aines, R. E. Glaser, S. K. Sengupta, K. M. Dyer, T. L. Hickling, and W. D. Daily, 2005, Stochastic inversion of electrical resistivity changes using a Markov chain Monte Carlo approach: Journal of Geophysical Research, 110, B02101 doi:10.1029/ 2004JB003449. jgr JGREA2 0148-0227 10.1029/2004JB003449
29. Revil, A., and P. W. J. Grover, 1997, Theory of ionic surface electrical conduction in porous media: Physics Review, B55, 1757-1773. prb PRBMDO 0163-1829 10.1103/PhysRevB.55.1757
30. Singha, K., and S. M. Gorelick, 2005, Saline tracer visualized with electrical resistivity tomography: Field scale moment analysis: Water Resources Research, 41, W05023 doi:05010.01029/02004WR003460. wre WRERAQ 0043-1397 10.1029/2004WR003460
31. Slater, L., A. M. Binley, W. Daily, and R. Johnson, 2000, Cross-hole electrical imaging of a controlled saline tracer injection: Journal of Applied Geophysics, 44, 85-102. c4u JAGPEA 0926-9851
32. Slater, L., M. D. Zaidman, A. M. Binley, and L. J. West, 1997, Electrical imaging of saline tracer migration for the investigation of unsaturated zone transport mechanisms: Hydrology and Earth System Sciences, 1, 291-302. b8u ZZZZZZ 1027-5606
33. Tikhonov, A. N., and V. Y. Arsenin, 1977, Solutions of ill-posed problems: John Wiley & Sons.
34. Waxman, M. H., and L. J. M. Smits, 1968, Electrical conductivities in oil-bearing shaly sands: Society Petroleum Engineers Journal, 8, 107-122. 9z8 SPTJAJ 0037-9999
35. Winsauer, W. O., and W. M. McCardell, 1953, Ionic double-layer conductivity in reservoir rock: Petroleum Transactions, The American Institute of Mining, Metallurgical, and Petroleum Engineers, 198, 129-134. tae TAIMAF 0096-4778
36. Yeh, T. C. J., S. Liu, R. J. Glass, K. Baker, J. R. Brainard, D. L. Alumbaugh, and D. LaBrecque, 2002, A geostatistically based inverse model for electrical resistivity surveys and its applications to vadose zone hydrology: Water Resources Research, 38, 14-11-14-13. wre WRERAQ 0043-1397
37. Zheng, C., and P. P. Wang, 1999, MT3DMS: A modular three-dimensional multispecies model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems - Documentation and user's guide: U. S. Army Engineer Research and Development Center.
38. Zhou, Q. Y., J. Shimada, and A. Sato, 2001, Three-dimensional spatial and temporal monitoring of soil water content using electrical resistivity tomography: Water Resources Research, 37, 273-285. wre WRERAQ 0043-1397