Statistical mixing model for the apparent dielectric constant of unsaturated porous media

Soil Science Society of America Journal

Volumn 61, Issue 3, 1997, Pages 742-745

  Friedman, Shmulik P ^a  

^a VOLCANI CENTER   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

POROSITY; SOIL PROPERTIES; SOIL WATER; TDR;

CAPACITANCE; CAPACITORS; MATHEMATICAL MODELS; PERMITTIVITY; POROSITY;

APPARENT DIELECTRIC CONSTANT; CAPACITORS NETWORK; STATISTICAL MODEL; UNSATURATED SOIL; VOLUMETRIC WATER CONTENT;

SOILS;

EID: 0030614239     PISSN: 03615995     EISSN: None     Source Type: Journal    
DOI: 10.2136/sssaj1997.03615995006100030006x     Document Type: Article

References (13)

1. Ansoult, M., L.W. De Backer, and M. Declercq. 1985. Statistical relationship between apparent dielectric constant and water content in porous media. Soil Sci. Soc. Am. J. 49:47-50.
2. 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.
3. Bruggeman, D.A.G. 1935. The calculation of various physical constants of heterogeneous substances: I. The dielectric constants and conductivities of mixtures composed of isotropic substances. Ann. Phys. 24:636-664.
4. Dirksen, C., and S. Dasberg. 1993. Improved calibration of time domain reflectometry soil water content measurements. Soil Sci. Soc. Am. J. 57:660-667.
5. 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 Sensing GE-23:35-46.
6. Kirkpatrick, S. 1973. Percolation and conduction. Rev. Mod. Phys. 45:574-588.
7. Maxwell, J.C. 1881. Treatise on electricity and magnetism. Vol. 2. 2nd ed. Clarendon Press, Oxford, England.
8. Roth, C.H., M.A. Malicki, and R. Plagge. 1992. Empirical evaluation of the relationship between soil dielectric constant and volumetric content as the basis for calibrating soil moisture measurements by TDR. J. Soil Sci. 43:1-13.
9. Roth, K., R. Schulin, H. Fluhler, and W. Attinger. 1990. Calibration of time domain reflectometry for water content measurement using a composite dielectric approach. Water Resour. Res. 26:2267-2273.
10. Sahimi, M., B.D. Hughes, L.E. Scriven, and H.T. Davis. 1983. Real-space renormalization and effective-medium approximation to the percolation conduction problem. Phys. Rev. B 28:307-311.
11. 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.
12. Van Loon, W.K.P., E. Perfect, P.H. Groenevelt, and B.D. Kay. 1991. Application of dispersion theory to time domain reflectometry in soils. Transp. Porous Media 6:391-406.
13. Zhang, L., and N.A. Seaton. 1992. Prediction of the effective diffusivity in pore networks close to a percolation threshold. Am. Inst. Chem. Eng. J. 38:1816-1824.