Accounting for tomographic resolution in estimating hydrologic properties from geophysical data

Geophysical Monograph Series

Volumn 171, Issue , 2007, Pages 227-241

  Singha, Kamini ^a   Day Lewis, Frederick D ^b   Moysey, Stephen ^c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b U S GEOLOGICAL SURVEY   (United States)

^c CLEMSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85040231446     PISSN: 00658448     EISSN: 23288779     Source Type: Book Series    
DOI: 10.1029/171GM16     Document Type: Chapter

References (65)

1. Alumbaugh, D. L., P. Y. Chang, L. Paprocki, J. R. Brainard, R. J. Glass and C. A. Rautman, Estimating moisture contents in the vadose zone using cross-borehole ground penetrating radar: a study of accuracy and repeatability, Water Resources Research, 38(12): 1309, doi: 10.1029/2001/WR000754, 2002.
2. Alumbaugh, D. L. and G. A. Newman, Image appraisal for 2-D and 3-D electromagnetic inversion, Geophysics, 65(5): 1455-1467, 2000.
3. Archie, G. E., 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, 1942.
4. Backus, G. E. and J. F. Gilbert, The resolving power of gross earth data, Geophysical Journal of the Royal Astronomical Society, 16: 169-205, 1968.
5. Berge, P. A., J. G. Berryman and B. P. Bonner, Influence of microstructure on rock elastic properties, Geophysical Research Let- ters, 20: 2619-2622, 1993.
6. Berthold, S. and L. R. H. Masaki, Integrated hydrogeological and geophysical study of depression-focused groundwater recharge in the Canadian prairies, Water Resources Research, 40(6):doi:10.1029/2003WR002982, 14p., 2004.
7. Binley, A., G. Cassiani, R. Middleton and P. Winship, Vadose zone flow model parameterisation using cross-borehole radar and resistivity imaging, Journal of Hydrology, 267: 147-159, 2002.
8. Blair, S. C. and J. G. Berryman, Permeability and relative permeability in rocks, Fault Mechanics and Transport Properties of Rocks, Academic Press Ltd.:. 169-186, 1992.
9. Caers, J., S. Strebelle and K. Payrazyan, Stochastic integration of seismic data and geologic scenarios, The Leading Edge, 22(3):192-196, 2003.
10. Carle, S. and A. Ramirez, Integrated Subsurface Characterization Using Facies Models, Geostatistics, and Electrical Resistance Tomography Lawrence Livermore National Laboratory, UCRL-JC-136739, Livermore CA, 1999.
11. Cassiani, G., G. Böhm, A. Vesnaver and R. Nicolich, A Geostatistical Framework for Incorporating Seismic Tomography Auxiliary Data into Hydraulic Conductivity Estimation, Journal of Hydrol- ogy, 206(1-2):58-74, 1998.
12. Chan, C. Y. and R. J. Knight, Determining water content and saturation from dielectric measurements in layered materials, Water Resources Research, 35(1): 85-93, 1999.
13. Dahlen, F. A., Resolution limit of traveltime tomography, Geo- physical Journal International, 157: 315-331, doi:10.1111/j.1365-246X. 2004.02214.x, 2004.
14. Day-Lewis, F. D. and J. W. Lane, Jr., Assessing the resolution- dependent utility of tomograms for geostatistics, Geophysi- cal Research Letters, 31: L07503, doi:10.1029/2004GL019617, 2004.
15. Day-Lewis, F. D., K. Singha and A. M. Binley, Applying petrophysical models to radar traveltime and electrical-resistivity tomograms: resolution-dependent limitations, Journal of Geophysical Research, 110: B08206, doi:10.1029/2004JB003569, 2005.
16. Dietrich, P., T. Fechner, J. Whittaker and G. Teutsch, An integrated hydrogeophysical approach to subsurface characterization, GQ 98 conference, Tubingen, Federal Republic of Germany, [Louvain]: International Association of Hydrological Sciences, 513-519, 1998.
17. Doyen, P. M., Porosity from seismic data; a geostatistical approach, Geophysics, 53(10): 1263-1276, 1988.
18. Dunn, K.-J., G. A. LaTorraca and D. J. Bergman, Permeability relation with other petrophysical parameters for periodic porous media, Geophysics, 64(2): 470-478, 1999.
19. Friedel, S., Resolution, stability, and efficiency of resistivity tomography estimated from a generalized inverse approach, Geophysi- cal Journal International, 153: 305-316, 2003.
20. Gal, D., J. Dvorkin and A. Nur, A physical model for porosity reduction in sandstones, Geophysics, 63(2): 454-459, 1998.
21. Gassmann, F., Elastic waves through a packing of spheres, Geo- physics, 16(673-685), 1951.
22. Hashin, Z. and S. Shtrikman, A variational approach to the theory of effective magnetic permeability of multiphase materials, Journal of Applied Physics, 33: 3125-3131, 1962.
23. Hashin, Z. and S. Shtrikman, A variational approach to the elastic behavior of multiphase materials, J. Mech. Phys. Solids, 11:127-140, 1963.
24. Hubbard, S. S., J. Chen, J. Peterson, E. L. Majer, K. H. Williams, D. J. Swift, B. Mailloux and Y. Rubin, Hydrogeological characterization of the South Oyster Bacterial Transport Site using geophysical data, Water Resources Research, 37(10): 2431-2456, 2001.
25. Hubbard, S. S., J. E. Peterson, Jr., E. L. Majer, P. T. Zawislanski, K. H. Williams, J. Roberts and F. Wobber, Estimation of permeable pathways and water content using tomographic radar data, The Leading Edge, 16(11): 1623-1628, 1997.
26. Hunt, A. G., Continuum percolation theory and Archie’s Law, Geophysical Research Let ters, 31(19): L19503, 10.1029/2004GL020817, 2004.
27. Hyndman, D. W. and S. M. Gorelick, Estimating lithologic and transport properties in three dimensions using seismic and tracer data; the Kesterson Aquifer, Water Resources Research, 32(9):2659-2670, 1996.
28. Hyndman, D. W., J. M. Harris and S. M. Gorelick, Coupled seismic and tracer test inversion for aquifer property characterization, Water Resources Research, 30(7): 1965-1977, 1994.
29. Hyndman, D. W., J. M. Harris and S. M. Gorelick, Inferring the relation between seismic slowness and hydraulic conductivity in heterogeneous aquifers, Water Resources Research, 36(8):2121-2132, 2000.
30. Jorgensen, D. G., Estimating permeability in water-saturated formations, Log Analyst, 29(6): 401-409, 1988.
31. Journel, A. G., Markov models for cross-covariances, Mathemati- cal Geology, 31: 955-964, 1999.
32. Kelly, W. E., Geoelectric sounding for estimating aquifer hydraulic conductivity, Ground Water, 15(6): 420-425, 1977.
33. Klimentos, T. and C. McCann, Relationships among compressional wave attenuation, porosity, clay content, and permeability in sandstones, Geophysics, 55(8): 998-1014, 1990.
34. Knight, R. J. and A. L. Endres, Physical properties of near-surface materials and approaches to geophysical determination of properties, Near-Surface Geophysics, Volume 1, editors. Tulsa, OK, Society of Exploration Geophysicists: 723 pp., 2005.
35. Knudby, C. and J. Carrera, On the relationship between indicators of geostatistical, flow, and transport connectivity, Advances in Water Resources, 28: 405-421, 2005.
36. Kowalsky, M. B., S. Finsterle, J. Peterson, S. Hubbard, Y. Rubin, E. Majer, A. Ward and G. Gee, Estimation of field-scale soil hydraulic and dielectric parameters through joint inversion of GPR and hydrological data, Water Resources Research, 41(W11425, doi:10.1029/2005WR004237), 2005.
37. Linde, N., S. Finsterle and S. Hubbard, Inversion of tracer test data using tomographic constraints, Water Resources Research, 42(4): W04410, 10.1029/2004WR003806, 2006.
38. McKenna, S. A. and E. P. Poeter, Field example of data fusion in site characterization, Water Resources Research, 31(12):3229-3240, 1995.
39. Menke, W., Geophysical data analysis; discrete inverse theory, New York-London-Toronto, Academic Press, 289, 1984.
40. Moysey, S. and R. J. Knight, Modeling the field-scale relationship between dielectric constant and water content in heterogeneous systems, Water Resources Research, 40: W03510, doi:10.1029/ 2003WR002589, 2004.
41. Moysey, S., K. Singha and R. Knight, A framework for inferring field-scale rock physics relationships through numerical simulation, Geophysical Research Letters, 32: L08304, doi:10.1029/ 2004GL022152, 2005.
42. Mukerji, T., I. Takahashi and E. F. Gonzalez, Statistical rock physics: combining rock physics, information theory, and geostatistics to reduce uncertainty in seismic reservoir characterization, The Leading Edge, 20(3): 313-319, 2001.
43. Oldenburg, D. W. and Y. Li, Estimating the depth of investigation in dc resistivity and IP surveys, Geophysics, 64: 403-416, 1999.
44. Peck, A., S. Gorelick, G. d. Marsily, S. Foster and V. Kovalevsky, Consequences of spatial variability in aquifer properties and data limitations for groundwater modelling practice, Oxfordshire UK, IAHS Press, 272 p., 1988.
45. Purvance, D. T. and R. Andricevic, On the electrical-hydraulic conductivity correlation in aquifers, Water Resources Research, 36(10): 2905-2913, 2000.
46. Ramirez, A., W. Daily, D. LaBrecque, E. Owen and D. Chesnut, Monitoring an underground steam injection process using electrical resistance tomography, Water Resources Research, 29(1):73-87, 1993.
47. 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, Stochastic inversion of electrical resistivity changes using a Markov Chain Monte Carlo approach, Journal of Geophysical Research, 110: B02101, doi:10.1029/2004JB003449, 2005.
48. Rector, J. W. and J. K. Washbourne, Characterization of resolution and uniqueness in crosswell direct-arrival traveltime tomography using the Fourier projection slice theorem, Geophysics, 59(11): 1642-1649, 1994.
49. Rubin, Y. and S. S. Hubbard, Eds., Hydrogeophysics, Springer, 2005.
50. Rubin, Y., G. Mavko and J. Harris, Mapping permeability in heterogeneous aquifers using hydrologic and seismic data, Water Resources Research, 28(7): 1809-1816, 1992.
51. Schuster, G. T., Resolution limits for crosswell migration and traveltime tomography, Geophysical Journal International, 127:427-440, 1996.
52. Sheng, J. and G. T. Schuster, Finite-frequency resolution limits of wave path traveltime tomography for smoothly varying velocity models, Geophysical Journal International, 152(3): 669-676, 2003.
53. Singha, K. and S. M. Gorelick, Saline tracer visualized with electrical resistivity tomography: field scale moment analysis, Water Resources Research, 41: W05023, doi:10.1029/2004WR003460, 2005.
54. Singha, K. and S. M. Gorelick, Hydrogeophysical tracking of 3D tracer migration: the concept and application of apparent petrophysical relations, Water Resources Research, 42 W06422, doi:10.1029/2005WR004568, 2006.
55. Singha, K. and S. Moysey, Accounting for spatially variable resolution in electrical resistivity tomography through field-scale rock physics relations, Geophysics, 71(4): A25-A28, 2006.
56. Slater, L., A. Binley, R. Versteeg, G. Cassiani, R. Birken and S. Sandberg, A 3D ERT study of solute transport in a large experimental tank, Journal of Applied Geophysics, 49: 211-229, 2002.
57. Topp, G. C., J. L. Davis and A. P. Annan, Electromagnetic determination of soil water content: measurements in coaxial transmission lines, Water Resources Research, 16(3): 574-582, 1980.
58. Urish, D. W., Electrical resistivity-hydraulic conductivity relationships in glacial outwash aquifers, Water Resources Research, 17(5): 1401-1407, 1981.
59. Vanderborght, J., A. Kemna, H. Hardelauf and H. Vereecken, Potential of electrical resistivity tomography to infer aquifer transport characteristics from tracer studies: A synthetic case study, Water Resources Research, 41: W06013, doi:10.1029/ 2004WR003774, 23 pp., 2005.
60. VanMarcke, R., Random Fields: Analysis and Synthesis, Cambridge, MA, MIT Press, 1983.
61. Vereecken, H., A. Binley, G. Cassiani, A. Revil and K. Titov, Eds., Applied Hydrogeophysics, NATO Science Series: IV: Earth and Environmental Sciences, Springer-Verlag, 2006.
62. Wang, P. and R. Horne, N., Integrating resistivity data with produc- tion data for improved reservoir modelling, SPE Asia Pacific Conference of Integrated Modelling for Asset Management, Yokohama, Japan, Society of Petroleum Engineers, 2000.
63. Western, A. W., G. Bloschl and R. B. Grayson, How well do indicator variograms capture connectivity of soil moisture?, Hydro- logical Processes, 12: 1851-1868, 1998.
64. Yeh, T. C. J., S. Liu, R. J. Glass, K. Baker, J. R. Brainard, D. L. Alumbaugh and D. LaBrecque, A geostatistically based inverse model for electrical resistivity surveys and its applications to vadose zone hydrology, Water Resources Research, 38(12):14-1:14-13, 2002.
65. Zinn, B. and C. F. Harvey, When good statistical models of aquifer heterogeneity go bad: a comparison of f low, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic conductivity fields, Water Resources Research, 39(3): doi:10.1029/2001WR001146, 2003.