Modeling the field-scale relationship between dielectric constant and water content in heterogeneous systems

Water Resources Research

Volumn 40, Issue 3, 2004, Pages

  Moysey, Stephen ^a   Knight, Rosemary ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Dielectric constant; Radar; Rock physics; Unsaturated zone; Upscaling; Water content

Indexed keywords

ANISOTROPY; GEOLOGIC MODELS; GROUND PENETRATING RADAR SYSTEMS; PERMITTIVITY; WATER;

FRAMEWORK; SUBSURFACE GEOMETRIES;

WATER RESOURCES;

DIELECTRIC PROPERTY; GROUND PENETRATING RADAR; HETEROGENEOUS MEDIUM; VADOSE ZONE; WATER CONTENT;

EID: 2042486369     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002589     Document Type: Article

References (34)

1. 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.
2. 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(11), 2639-2652.
3. 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, 1, 93-98.
4. Born, M., and E. Wolf (1986), Principles of Optics, 6th ed., 808 pp., Pergamon, New York.
5. Chan, C. Y., and R. J. Knight (1999), Determining water content and saturation from dielectric measurements in layered materials, Water Resour. Res., 35(1), 85-93.
6. Chan, C. Y., and R. J. Knight (2001), Laboratory measurements of electromagnetic wave velocity in layered sands, Water Resour. Res., 37(4), 1099-1105.
7. Davis, J. L., and A. P. Annan (1989), Ground penetrating radar for high resolution mapping of soil and rock stratigraphy, Geophys. Prospect., 37, 531-551.
8. Desbarats, A. J. (1992), Spatial averaging of hydraulic conductivity in three-dimensional heterogeneous porous media, Math. Geol., 24(3), 249-267.
9. Deutsch, C. V., and A. G. Journel (1998), GSLIB: Geostatistical Software Library and User's Guide, 369 pp., Oxford Univ. Press, New York.
10. Dobson, M. C., F. T. Ulaby, M. T. Hallikainen, and M. A. El-Rayes (1985), Microwave dielectric behavior of wet soil, II: Dielectric mixing models, IEEE Trans. Geosci. Remote Sens., 23(1), 35-46.
11. Durlofsky, L. J. (1991), Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media, Water Resour. Res., 27(5), 699-708.
12. Eppstein, M. J., and D. E. Dougherty (1998), 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), 889-900.
13. Ferre, P. A., D. L. Rudolph, and R. G. Kachanoski (1996), Spatial averaging of water content by time domain reflectometry: Implications for twin rod probes with and without dielectric coatings, Water Resour. Res., 32(2), 271-279.
14. Gelhar, L. W. (1993), Stochastic Subsurface Hydrology, 390 pp., Prentice-Hall, Old Tappan, N. J.
15. Greaves, R. J., D. P. Lesmes, J. M. Lee, and M. N. Toksöz (1996), Velocity variations and water content estimated from multi-offset, ground-penetrating radar, Geophysics, 61(3), 683-695.
16. Hubbard, S. S., J. E. Peterson, E. L. Majer, P. T. Zawislanski, J. Roberts, K. H. Williams, and F. Wobber (1997), Estimation of permeable pathways and water content using tomographic radar data, Leading Edge Explor., 16(11), 1623-1628.
17. Hubbard, S. S., K. Grote, and Y. Rubin (2002), Estimation of near-subsurface water content using high frequency GPR ground wave, Leading Edge Explor., 21(6), 552-559.
18. Huisman, J. A., C. Sperl, W. Bouten, and J. M. Verstraten (2001), Soil water content measurements at different scales: Accuracy of time domain reflectometry and ground-penetrating radar, J. Hydrol., 245, 48-58.
19. Khaleel, R., T.-C. J. Yeh, and Z. Lu (2002), Upscaled flow and transport properties for heterogeneous unsaturated media, Water Resour. Res., 38(5), 1053, doi:10.1029/2000WR000072.
20. Landau, L. D., and E. M. Lifshitz (1960), Electrodynamics of Continuous Media, 417 pp., Pergamon, New York.
21. Moysey, S., and R. J. Knight (2003), Full-inverse statistical calibration: A Monte Carlo approach to determining field-scale relationships between hydrologic and geophysical variables, Eos Trans. AGU, 84(46), Fall Meet. Suppl., Abstract H21F-03.
22. Mukerji, T., G. Mavko, D. Mujica, and N. Lucet (1995), Scale-dependent seismic velocity in heterogeneous media, Geophysics, 60(4), 1222-1233.
23. Paleologos, E. K., S. P. Neuman, and D. Tartakovsky (1996), Effective hydraulic conductivity of bounded, strongly heterogeneous porous media, Water Resour. Res., 32(5), 1333-1341.
24. Parkin, G., D. Redman, P. von Bertoldi, and Z. Zhang (2000), Measurement of soil water content below a wastewater trench using ground-penetrating radar, Water Resour. Res., 36(8), 2147-2154.
25. Roth, K., R. Schulin, H. Flühler, and W. Attinger (1990), Calibration of time domain reflectometry for water content measurement using a composite dielectric approach, Water Resour. Res., 26(10), 2267-2273.
26. Schaap, M. G., D. A. Robinson, S. P. Friedman, and A. Lazar (2003), Measurement and modeling of the TDR signal propagation through layered dielectric media, Soil Sci. Soc. Am. J., 67, 1113-1121.
27. Sethian, J. A., and A. M. Popovici (1999), 3-D traveltime computation using the fast marching method, Geophysics, 64(2), 516-523.
28. Sihvola, A. (1999), Electromagnetic Mixing Formulas and Applications, 284 pp., Inst. of Electr. Eng., London.
29. Stoffregen, H., U. Yaramanci, T. Zenker, and G. Wessolek (2002), Accuracy of soil water content measurements using ground penetrating radar: Comparison of ground penetrating radar and lysimeter data, J. Hydrol., 267, 201-206.
30. Strebelle, S. (2002), Conditional simulation of complex geological structures using multiple-point statistics, Math. Geol., 34(1), 1-21.
31. 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(3), 574-582.
32. Tsoflias, G., T. Halihan, and J. M. Sharp Jr. (2001), Monitoring pumping test response in a fractured aquifer using ground-penetrating radar, Water Resour. Res., 37(5), 1221-1229.
33. Yu, C., A. W. Warrick, M. H. Conklin, M. H. Young, and M. Zreda (1997), Two- and three-parameter calibrations of time domain reflectometry for soil measurement, Water Resour. Res., 33(10), 2417-2421.
34. Zhang, D., and C. L. Winter (1998), Nonstationary stochastic analysis of steady state flow through variably saturated, heterogeneous media, Water Resour. Res., 34(5), 1091-1100.