Applying petrophysical models to radar travel time and electrical resistivity tomograms: Resolution-dependent limitations

Journal of Geophysical Research: Solid Earth

Volumn 110, Issue 8, 2005, Pages 1-17

  Day Lewis, Frederick D ^a,b   Singha, Kamini ^c,d   Binley, Andrew M ^e  

^a U S GEOLOGICAL SURVEY   (United States)

^b BUCKNELL UNIVERSITY   (United States)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

^d STANFORD UNIVERSITY   (United States)

^e LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRICAL RESISTIVITY; PARAMETERIZATION; PHYSICAL PROPERTY; TOMOGRAPHY;

EID: 26844436413     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2004JB003569     Document Type: Article

References (53)

1. Aki, J., A. Christerofferson, and E. S. Husbeye (1977), Determination of three-dimensional seismic structure of the lithosphere, J. Geophys. Res., 82, 277-296.
2. Alumbaugh, D. L., and G. A. Newman (2000), Image appraisal for 2-D and 3-D electromagnetic inversion, Geophysics, 65, 1455-1467.
3. Alumbaugh, D., P. Y. Chang, L. Paprocki, J. R. Brainard, R. J. Glass, and C. A. Rautman (2002), Estimating moisture contents in the vadose zone using cross-borehole ground penetrating radar: A study of accuracy and repeatability, Water Resour. Res., 38(12), 1309, doi:10.1029/ 2001WR000754.
4. Archie, G. E. (1942), The electrical resistivity log as an aid in determining some reservoir characteristics, Trans. Am. Inst. Min. Metall. Pet. Eng., 146, 54-62.
5. Backus, G., and F. Gilbert (1968), The resolving power of gross earth data, Geophys. J. R. Astron. Soc., 16, 169-205.
6. Berthold, S., L. R. Bentley, and M. Hayashi (2004), Integrated hydrogeological and geophysical study of depression-focused groundwater recharge in the Canadian prairies, Water Resour. Res., 40, W06505, doi:10.1029/2003WR002982.
7. Binley, A., and A. Kemna (2005), DC resistivity and induced polarization methods, in Hydrogeophysics, Water Sci. Technol. Libr. vol. 50, edited by Y. Rubin and S. S. Hubbard, pp. 129-156, Springer, New York.
8. Binley, A., P. Winship, R. Middleton, M. Pokar, and J. West (2001), High resolution characterization of vadose zone dynamics using cross-borehole radar, Water Resour. Res., 37, 2639-2652.
9. Binley, A., G. Cassiani, R. Middleton, and P. Winship (2002), Vadose zone model parameterisation using cross-borebole radar and resistivity imaging, J. Hydrol., 267(3-4), 147-159.
10. Birchak, J. R., C. G. Gardner, J. E. Hipp, and J. M. Victor (1974), High dielectric constant microwave probes for sensing soil moisture, Proc. IEEE, 62, 93-98.
11. Bregman, N. D., P. A. Hurley, and G. F. West (1989), Seismic tomography at a fire-flood site, Geophysics, 54, 1082-1090.
12. Cassiani, G., G. Böhm, A. Vesnaver, and R. Nicolich (1998), A geostatistical framework for incorporating seismic tomography auxiliary data into hydraulic conductivity estimation, J. Hydrol., 206(1-2), 58-74.
13. Cerveny, V. (1984), The application of ray tracing to the propagation of shear waves in complex media, in Handbook of Geophysical Exploration: Seismic Exploration, vol. 15A, edited by K. Helbig and S. Treitel, pp. 1-124, Geophys. Press, London.
14. Dahlen, F. A. (2004), Resolution limit of traveltime tomography, Geophys. J. Int., 157, 315-331, doi:10.1111/j.1365-246X.2004.02214.x.
15. Daily, W., and E. Owen (1991), Cross-borehole resistivity tomography, Geophysics, 56, 1228-1235.
16. Day-Lewis, F. D., and J. W. Lane Jr. (2004), Assessing the resolution-dependent utility of tomograms for geostatistics, Geophys. Res. Lett., 31, L07503, doi:10.1029/2004GL019617.
17. Day-Lewis, F. D., J. M. Harris, and S. M. Gorelick (2002), Time-lapse inversion of Crosswell radar data, Geophysics, 67, 1740-1752.
18. Day-Lewis, F. D., J. W. Lane Jr., J. M. Harris, and S. M. Gorelick (2003), Time-lapse imaging of saline-tracer transport in fractured rock using difference-attenuation radar tomography, Water Resour. Res., 39(10), 1290, doi:10.1029/2002WR001722.
19. Day-Lewis, F. D., J. W. Lane Jr., and S. M. Gorelick (2004), Combined Interpretation of Radar, Hydraulic and Tracer Data from a Fractured-Rock Aquifer, Hydrogeol. J., 13, doi:10.1007/s10040-004-0372-y.
20. Deutsch, C. V., and A. G. Journel (1998), GSLIB: Geostatistical Software Library and User's Guide, 369 pp., Oxford Univ. Press, New York.
21. Friedel, S. (2003), Resolution, stability, and efficiency of resistivity tomography estimated from a generalized inverse approach, Geophys. J. Int., 153, 305-316.
22. Geselowitz, D. B. (1971), An application of electrocardiographic lead theory to impedance plethysmography, IEEE Trans. Biomed. Eng., BME-18, 38-41.
23. Hubbard, S. S., J. Chen, J. Peterson, E. L. Majer, K. H. Williams, D. J. Swift, B. Mailloux, and Y. Rubin (2001), Hydrogeological characterization of the South Oyster Bacterial Transport Site using geophysical data, Water Resour. Res., 37, 2431-2456.
24. Husen, S., and E. Kissling (2001), Local earthquake tomography between rays and waves: Fat ray tomography, Phys. Earth Planet. Inter., 123, 129-149.
25. Hyndman, D. W., and S. M. Gorelick (1996), Estimating lithologic and transport properties in three dimensions using seismic and tracer data; the Kesterson Aquifer, Water Resour. Res., 32, 2659-2670.
26. Journel, A. G. (1999), Markov models for cross-covariances, Math. Geol., 31(8), 955-964.
27. Kemna, A. (2000), Tomographic inversion of complex resistivity - Theory and application, Ph.D. thesis, Bochum Univ. Osnabrück, Germany.
28. 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.
29. Lane, J. W., Jr., F. D. Day-Lewis, R. J. Versteeg, and C. C. Casey (2005), Object-based inversion of cross-well radar tomography to monitor injection experiments, J. Environ. Eng. Geophys., 9(2), 63-77.
30. McKenna, S. A., and E. P. Poeter (1995), Field example of data fusion in site characterization, Water Resour. Res., 31, 3229-3240.
31. Menke, W. (1984), The resolving power of cross-borehole tomography, Geophys. Res. Lett., 11(2), 105-108.
32. Moysey, S., K. Singha, and R. Knight (2005), A framework for inferring field-scale rock physics relationships through numerical simulation, Geophys. Res. Lett., 32, L08304, doi:10.1029/2004GL022152.
33. Oldenburg, D. W., and Y. Li (1999), Estimating the depth of investigation in de resistivity and IP surveys, Geophysics, 64, 403-416.
34. Park, S. K. (1998), Fluid migration in the vadose zone from 3-D inversion of resistivity monitoring data, Geophysics, 63, 41-51.
35. Peterson, J. E., Jr. (2001), Pre-inversion corrections and analysis of radar tomographic data, J. Environ. Eng. Geophys., 6, 1-18.
36. Ramirez, A., W. Daily, D. LaBrecque, E. Owen, and D. Chesnut (1993), Monitoring an underground steam injection process using electrical resistance tomography, Water Resour. Res., 29, 73-87.
37. Rector, J. W., and J. K. Washbourne (1994), Characterization of resolution and uniqueness in crosswell direct-arrival traveltime tomography using the Fourier projection slice theorem, Geophysics, 59, 1642-1649.
38. Schuster, G. T. (1996), Resolution limits for crosswell migration and traveltime tomography, Geophy. J. Int., 127, 427-440.
39. Sheng, J., and G. T. Schuster (2003), Finite-frequency resolution limits of wave path traveltime tomography for smoothly varying velocity models, Geophys. J. Int., 152, 669-676.
40. Singha, K., and S. M. Gorelick (2005), Saline tracer visualized with three-dimensional electrical resistivity tomography: Field-scale spatial moment analysis, Water Resour. Res., 41, W05023, doi:10.1029/ 2004WR003460.
41. Singha, K., and S. Moysey (2004), Application of a new Monte Carlo approach to calibrating rock physics relationships: examples using electrical resistivity and ground penetrating radar tomography, paper presented at Symposium on the Application of Geophysics to Engineering and Environmental Problems (SAGEEP), Environ. and Eng. Geophys. Soc., Colorado Springs, Colo., 22-26 Feb.
42. Slater, L., and A. Binley (2003), Evaluation of permeable reactive barrier (PRB) integrity using electrical imaging methods, Geophysics, 68, 911-921.
43. Slater, L., A. Binley, R. Versteeg, G. Cassiani, R. Birken, and S. Sandberg (2002), A 3D ERT study of solute transport in a large experimental tank, J. Appl. Geophys., 49, 211-229.
44. Spetzler, J., and R. Snieder (2004), The Fresnel volume and transmitted waves, Geophysics, 69, 653-663.
45. Tarantola, A. (2004), Inverse Problem Theory and Methods for Model Parameter Estimation, 342 pp., Soc. for Ind. and Appl. Math., Philadelphia, Pa.
46. Topp, G. C., J. L. Davis, and A. P. Annan (1980), Electromagnetic determination of soil water content: Measurements in coaxial transmission lines, Water Resour. Res., 16, 574-582.
47. Tripp, A. C., G. W. Hohmann, and C. M. Swift Jr. (1984), Two-dimensional resistivity inversion, Geophysics, 49, 1708-1717.
48. Vanmarcke, R. (1983), Random Fields: Analysis and Synthesis, MIT Press, Cambridge, Mass.
49. Vasco, D. W., J. E. Peterson, and E. L. Majer (1995), Beyond ray tomography: Wavepaths and Fresnel volumes, Geophysics, 60, 1790-1804.
50. Vidale, J. (1988), Finite-difference calculation of travel times, Bull. Seismol. Soc. Am., 78, 2062-2076.
51. Vidale, J. (1990), Finite-difference calculation of traveltimes in three dimensions, Geophysics, 55, 521-526.
52. Watanabe, T., T. Matsuoka, and Y. Ashida (1999), Seismic traveltime tomography using Fresnel volume approach, paper presented at 69th SEG Annual Meeting, Houston, Tex.
53. Zandt, G. (1981), Seismic images of the deep structure of the San Andreas fault system, central Coast Ranges, California, J. Geophys. Res., 86, 5039-5052.