Spatial correlation structure estimation using geophysical and hydrogeological data

Water Resources Research

Volumn 35, Issue 6, 1999, Pages 1809-1825

  Hubbard, Susan S ^a,b   Rubin, Yoram ^a   Majer, Ernie ^b  

^a Berkeley   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOPHYSICAL METHOD; HYDRAULIC PROPERTY; HYDROGEOLOGY; STRUCTURAL ANALYSIS; WELL;

EID: 0032978244     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999WR900040     Document Type: Article

References (64)

1. Ababou, R., and L. Gelhar, Self-similar randomness and spectral conditioning: Analysis of scale effects in subsurface hydrology, in Dynamics of Fluids in Hierarchical Porous Media, edited by J. H. Cushman, pp. 393-428. Academic, San Diego, Calif., 1990.
2. Advance Geophysical Corporation, ProMAX 2D, Version 5.1, Denver, Colo., 1991
3. Anderson, M. P., Hydrogeologic facies models to delineate large-scale trends in glacial and glaciofluvial sediments, Geol. Soc. Am. Bull. 101, 501-511, 1989.
4. Baveye, P., and G. Sposito, The operational significance of the continuum hypothesis in the theory of water movement though soils and aquifers, Water Resour. Res., 20(5), 521-530, 1984.
5. Beckie, R., Measurement scale, network sampling scale, and groundwater model parameters, Water Resour. Res., 32(1), 65-76, 1996.
6. Bergmann, T., J. O. A. Robertsson, and K. Holliger, Finite-difference ground-penetrating radar modeling in frequency-dependent media, in Environmental and Engineering Society European Section Proceedings, vol. 66, pp. 801-804, Soc. of Explor. Geophys., Tulsa, Okla., 1997.
7. Best, A. I., C. McCann, and J. Sothcott, The relationships between the velocities, attenuations and petrophysical properties of reservoir sedimentary rocks, Geophys. Prospect., 42, 151-178, 1994.
8. Bourbie, T., O. Coussy, and B. Zonszner, Acoustics of Porous Media, Gulf, Houston, Tex., 1987.
9. Bracewell, R., The Fourier Transform and Its Applications, McGraw-Hill, New York, 1965.
10. Bregman, N. D., R. C. Bailey, and C. H. Chapman, Crosshole seismic tomography, Geophysics, 54, 200-215, 1989.
11. Carcione, J. M., Ground-penetrating radar: Wave theory and numerical simulation in lossy anisotropic media, Geophysics, 61, 1664-1677, 1996.
12. Copty, N., and Y. Rubin, A stochastic approach to the characterization lithofacies from surface seismic and well data, Water Resour. Res., 31(1), 1673-1686, 1995.
13. Copty, N., Y. Rubin, and G. Mavko, Geophysical-hydrological identification of field permeabilities through Bayesian updating, Water Resour. Res., 29(8), 2813-2825, 1993.
14. Cushman, J. H., On measurement, scale, and scaling. Water Resour. Res., 22(2), 129-134, 1986.
15. Dagan, G., Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
16. Daily, W., A. Ramirez, D. LaBrecque, and J. Nitao, Electrical resistivity tomography of vadose water movement, Water Resour. Res., 28(5), 1429-1442, 1992.
17. Davis, J. M., R. C. Lohmann, F. M. Phillips, J. L. Wilson, and D. W. Love, Architecture of the Sierra Ladornes Formation, central New Mexico: Depositional controls of the permeability correlation structure, Geol. Soc. Am. Bull., 105, 998-1007, 1993.
18. DeFlaun, M. F., C. J. Murray, W. Holben, T. Scheibe, A. Mills, T. Ginn, T. Griffen, E. Majer, and J. L. Wilson, Preliminary observation on bacterial transport in a coastal plain aquifer, FEMS Microbiol. Rev., 20, 473-487, 1997.
19. Desbarats, A., Macrodispersion in sand-shale sequences, Water. Resour. Res., 26(1), 153-163, 1990.
20. Deutsch, C., and A. Journel, GSLIB: Geoslatistical Software Library, Oxford Univ. Press, New York, 1992.
21. Eppstein, M. J., and D. E. Dougherty, Efficient three-dimensional data inversion: Soil characterization and moisture monitoring from cross-well ground-penetrating radar at a Vermont test site, Water Resour. Res., 34(8), 1889-1900, 1998.
22. Fogg, G. E., Emergence of geologic and stochastic applications for characterization of heterogeneous aquifers, paper presented at the National Well Water Association Conference, Dallas, Tex., March 1-15, 1989.
23. Freeze, R. A., and J. A. Cherry, Groundwater, 604 pp., Prentice-Hall, Englewood Cliffs, N. J., 1979.
24. Gardner, W. A., Statistical Spectral Analysis: A Nonprobabilistic Theory, Prentice-Hall, Englewood Cliffs, N. J., 1988.
25. Gelhar, L. W., Stochastic subsurface hydrology from theory to applications, Water Resour. Res., 22(9), 1355-1455, 1986.
26. Gelhar, L. W., Stochastic Subsurface Hydrology, 390 pp., Prentice-Hall, Englewood Cliffs, N. J., 1993.
27. Han, D., A. Nur, and D. Morgan, Effects of porosity and clay content on wave velocities in sandstones, Geophysics, 51, 2093-2107, 1986.
28. Hess, K. M., S. H. Wolf, and M. A. Celia, Spatial variability of hydraulic conductivity in a sand and gravel aquifer, Cape Cod, Massachusetts, U.S. Geol. Surv. Water Resour. Invest., WRI 88-4220, 143-149, 1989.
29. Hubbard, S. S., Stochastic characterization of hydrogeological properties using geophysical data, Ph.D. dissertation, Univ. of Calif. at Berkeley, 1998.
30. Hubbard, S., E. Majer, J. Geller, J. Peterson, and B. Parsons, Permeability estimation using geophysical data (abstract), Eos Trans. AGU, 77(46), Fall Meet. Suppl., F220, 1996.
31. Hubbard, S. S., Y. Rubin, and E. Majer, Ground-penetrating-radar assisted saturation and permeability estimation in bimodal systems, Water Resources Res., 33(5), 971-990, 1997a.
32. Hubbard, S. S., J. E. Peterson, 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, Leading Edge, 16(11), 1623, 1997b.
33. Hyndman, D. W., and S. M. Gorelick, Estimating lithologic and transport properties in three dimensions using seismic and tracer data: The Kesterson aquifer, Water Resour. Res., 32(9), 2659-2670, 1996.
34. Hyndman, D. W., J. M. Harris, and S. M. Gorelick, Coupled seismic and tracer test inversion for aquifer property characterization, Water Resources Res., 30(1), 1965-1977, 1994.
35. Johnson, N. M., and S. J. Dreiss, Hydrostratigraphic interpretation using indicator geostatistics, Water Resour. Res., 25(12), 2501-2510, 1989.
36. Kelly, K. R., R. W. Ward, S. Treitel, and R. M. Alford, Synthetic seismograms: A finite difference approach, Geophysics, 41, 2-27, 1976.
37. Klimentos, T., The effects of porosity-permeability-clay content on the velocity of compressional waves, Geophysics, 56, 1930-1939, 1991.
38. Klimentos, T., and C. McCann, Relationships among compressional wave attenuation, porosity, clay content, and permeability in sandstones, Geophysics, 55, 998-1014, 1990.
39. Knight, R., J. Rea, P. Tercier, and H. Jol, Geostatistical analysis of ground penetrating radar data: A means of characterizing the correlation structure of sedimentary units (abstract), Eos Trans. AGU, 77(46), Fall Meet. Suppl., F237, 1996.
40. Knight, R., P. Tercier, and H. Jol, The role of ground penetrating radar and geostatistics in reservoir description, Leading Edge, 16(11), 1576-1583, 1997.
41. Koltermann, C. E., and S. M. Gorelick, Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches, Water Resour. Res., 32(9), 2617-2685, 1996.
42. Lomb, N. R., Least-squares frequency analysis of unequally spaced data, Astrophys. Space Sci., 39, 447-462, 1976.
43. Majer, E. L., J. E. Peterson, S. M. Benson, and J. C. S. Long, High-frequency seismic tomographic imaging for hydrologic properties of near-surface materials (abstract), Eos Trans. AGU, 71(41), 1446, 1990.
44. Majer, E. L., J. E. Peterson, and J. J. Zucca, The definition of fine scale heterogeneity in soils controlling solute transport with high-frequency seismic tomographic imaging (abstract), Eos Trans. AGU, 72(44), 295, 1991.
45. Marion, D., A. Nur, H. Yin, and D. Han, Compressional velocity and porosity in sand-clay mixtures, Geophysics, 57, 554-563, 1992.
46. McKenna, S. A., and E. P. Poeter, Field example of data fusion in site characterization, Water Resour. Res., 31(12), 3229-3240, 1995.
47. Peterson, J. E., B. N. Paulsson, and T. V. McEvilly, Applications of algebraic reconstruction techniques to crosshole seismic data, Geophysics, 50, 1566-1580, 1985.
48. Phillips, F. M., and J. L. Wilson, An approach to estimating hydraulic conductivity spatial correlation scales using geological characteristics, Water Resour. Res., 25(1), 141-143, 1989.
49. Poeter, E., W. L. Wingle, and S. A. McKenna, Improving groundwater project analysis with geophysical data, Leading Edge Explor., 16(11), 1075-1681, 1997.
50. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, Cambridge Univ. Press, New York, 1992.
51. Ramirez, A., W. Daily, D. LaBrecque, E. Owen, and D. Chestnut, Monitoring an underground steam injection process using electrical resistance tomography, Water Resour. Res., 29(1), 73-87, 1993.
52. Rea, J., and R. Knight, Geostatistical analysis of ground penetrating radar data: A means of describing spatial variations in the subsurface, Water Resour. Res., 34(3), 329-341, 1998.
53. Rector, J. W., III, Crosswell methods, Geophysics, 60, 627-920, 1995.
54. Rubin, Y., Flow and transport in bimodal heterogeneous formations, Water Resour. Res., 31(10), 2461-2468, 1995.
55. Rubin, Y., and A. Journel, Simulation of non-Gaussian space random functions for modeling transport in groundwater, Water Resour. Res., 27(7), 1711-1721, 1991.
56. Rubin, Y., G. Mavko, and J. Harris, Mapping permeability in heterogeneous aquifers using hydrological and seismic data, Water Resour. Res., 28(7), 1809-1816, 1992.
57. Rubin, Y., S. S. Hubbard, A. Wilson, and M. Cushey, Aquifer characterization, in The Handbook of Groundwater Engineering, edited by J. Delleur, pp. 10.1-10.68, CRC Press, Boca Raton, Fla., 1998.
58. Russo, D., and W. A. Jury, A theoretical study of the estimation of the correlation scale in spatially variable fields, 1, Stationary fields, Water Resour. Res., 23(7), 1257-1268, 1987.
59. Sudicky, E. A., A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process, Water Resour. Res., 22(13), 2069-2082, 1986.
60. Swift, D. J., B. S. Parsons, A. Muller, J. Wilson, R. G. Taylor, R. Holt, R. Smith, A. Schafer, and T. McLing, Sedimentary facies as a guide to hydrologic properties in an experimental aquifer of shallow marine origin: Virginia's Eastern Shore Peninsula, Eos Trans. AGU, 77(17), Spring Meet. Suppl., S100, 1996.
61. Teutsch, G., U. Asprion, S. Kleineidam, R. Klingbeil, P. Grathwhol, and T. Aigner, Characterisation of aquifer outcrops using a combination of hydraulical, geophysical, hydrogeochemical, and sedimentological methods (abstract), Eos Trans. AGU, 78(46), Fall Meet. Suppl., F318, 1997.
62. Williamson, P. R., and M. H. Worthington, Resolution limits in ray tomography due to wave behavior: Numerical experiments, Geophysics, 58, 727-735, 1993.
63. Wyllie, M. R. J., A. R. Gregory, and G. H. F. Gardner, Elastic wave velocities in heterogeneous and porous media, Geophysics, 21, 41-70, 1956.
64. Xu, T., and G. A. McMechan, GPR attenuation and its numerical simulation in 2.5-dimensions, Geophysics, 62, 403-414, 1997.