Numerical modeling for investigating the physical meaning of the relationship between relative dielectric permittivity and water content of soils

Water Resources Research

Volumn 36, Issue 9, 2000, Pages 2771-2776

  Tabbagh, Alain ^a   Camerlynck, Christian ^a   Cosenza, Philippe ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONDUCTIVITY; MATHEMATICAL MODELS; MOISTURE; PERMITTIVITY; WATER;

SOIL PERMITTIVITY; WATER CONTENT;

SOILS;

DIELECTRIC PROPERTY; NUMERICAL METHOD; PERMITTIVITY; SOIL WATER; WATER CONTENT;

EID: 0034284503     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2000WR900181     Document Type: Article

References (27)

1. Ansoult, M., L. W. De Backer, and M. Declercq, Statistical relationship between apparent dielectric constant and water content in porous media, Soil Sci. Soc. Am. J., 48, 47-50, 1985.
2. Brisco, B., T. J. Pultz, R. J. Brown, G. C. Topp, M. A. Hares, and W. D. Zebchuk, Soil moisture measurement using portable dielectric probes and time domain reflectometry, Water Resour. Res., 28(5), 1339-1346, 1992.
3. Bruggeman, D. A. G., Berechnung Verschiederner Physikalischer Konstanten von Hetärogenen Substanzen, Ann. Phys. Leipzig, 24, 636-679, 1935.
4. Davies, J. L., G. C. Topp, and P. Annan, Measuring soil water content in-situ using time domain reflectometry techniques, Pap. Geol. Surv. Can., 77-IB, 33-36, 1977.
5. De Loor, G. P., The dielectric properties of wet materials, IEEE Trans. Geosci. Remote Sens., 21(3), 364-369, 1983.
6. Féchant, C., and A. Tabbagh, Mesure en laboratoire de la permittivité diélectrique moyenne fréquence de végétaux à 430 kHz à l'aide d'un capacimètre: Relation entre permittivité apparente d'un ensemble d'épis de blé et leur contenu en eau, C. R. Acad. Sci., Série II b, 327, 285-298, 1999.
7. Friedman, S. P., Statistical mixing model for the apparent dielectric constant of unsaturated porous media, Soil Sci. Soc. Am. J., 61, 742-745, 1997.
8. Friedman, S. P., A saturation degree-dependent composite spheres model for describing the effective dielectric constant of unsaturated porous media, Water Resour. Res., 34(11), 2949-2961, 1998.
9. Gaudu, J. C., J. M. Mathieu, J. C. Fumanal, L. Bruckler, A. Chanzy, P. Bertuzzi, P. Stengel, and R. Guennelon, Mesure de l'humidité des sols par la méthode capacitive, analyse des facteurs influençant la mesure, Agronomie, 13, 57-73, 1993.
10. Harrington, R. F., Field Computation by Moment Methods, McMillan, Indianapolis, Indiana, 1968.
11. Heimovaara, T. J., W. Bouten, and J. M. Verstraten, Frequency domain analysis of time domain reflectometry waveforms, 2, A four component complex dielectric mixing model for soils, Water Resour. Res., 30(2), 201-209, 1994.
12. Heimovaara, T. J., E. J. G. De Winter, W. K. P. van Loon, and D. C. Esveld, Frequency dependent dielectric permittivity from 0 to 1 GHz: Time domain reflectometry measurements compared with frequency domain network analyser measurements, Water Resour. Res., 32(12), 3603-3610, 1996.
13. Hipp, J. E., Soil electromagnetic parameters as functions of frequency, soil density, and soil moisture, Proc. IEEE, 62, 98-103, 1974.
14. Hoekstra, P., and A. Delaney, Dielectric properties of soils at UHF and microwave frequencies, J. Geophys. Res., 79(B11), 1699-1708, 1974.
15. Lysne, P. C., A model for the high-frequency electrical response of wet rocks, Geophysics, 48(6), 775-786, 1983.
16. Maxwell, J. C., Treatise on Electricity and Magnetism, vol. 2, 2nd ed., Clarendon, Oxford, England, 1881.
17. Maxwell-Garnett, J. C., Colours in metal glasses and in metal films, Philos. Trans. R. Soc. London, 203, 385-420, 1904.
18. Raiche, A. P., An integral equation approach to the three dimensional modelling, Geophys. J. R. Astron. Soc., 36, 363-374, 1974.
19. Ruault, P., and A. Tabbagh, Etude expérimentale de la permittivité diélectrique des sols dans la gamme de fréquence 100 MHz-1 GHz en vue d'une application à la télédétection de l'humidité des sols, Ann. Geophys., 36(4), 477-490, 1980.
20. Sen, P. N., C. Scala, and M. H. Cohen, A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads, Geophysics, 46(5), 781-785, 1981.
21. Sihola, A. H., and J. I. Kong, Self-consistency aspects of dielectric mixing theories, IEEE Trans. Geosci. Remote Sens., 27(4), 403-415, 1989.
22. Smith-Rose, R. L., The electrical properties of soils for alternating currents at radio frequencies, Proc. R. Soc. London, 140, 359-377, 1933.
23. Tabbagh, A., The response of a three dimensional magnetic and conductive body in shallow depth electromagnetic prospecting, Geophys. J. R. Astron. Soc., 81, 215-230, 1985.
24. Tomer, M. P., B. E. Clothier, I. Vogeler, and S. Green, A dielectric-water content relationship for sandy volcanic soils in New Zealand, Soil Sci. Soc. Am. J., 63, 777-781, 1999.
25. Topp, G. C., J. L. Davis, and P. Annan, Electromagnetic determination of soil water content: Measurement in coaxial transmission lines, Water Resour. Res., 16(3), 574-582, 1980.
26. Tran Ngoc, L., P. Chaigne, and A. Philippe, Expérimentation d'une méthode capacitive pour l'évolution de l'humidité des sols, Bull. Liaison Ponts Chaussées, 60, 155-165, 1972.
27. Weiler, K. W., T. S. Steenhuis, J. Boll, and K. S. J. Kung, Comparison of ground penetrating radar and time domain reflectometry as soil water sensors, Soil Sci. Soc. Am. J., 62, 1237-1239, 1998.