A physical interpretation of logarithmic TDR calibration equations of volcanic soils and their solid fraction permittivity based on Lichtenecker's mixing formulae

Geoderma

Volumn 123, Issue 1-2, 2004, Pages 41-50

  Regalado, C M ^a  

^a INSTITUTO CANARIO DE INVESTIGACIONES AGRARIAS   (Spain)

Author keywords

Bound water; Calibration; Canary islands; Mixing models; Moisture sensors

Indexed keywords

MATHEMATICAL MODELS; MOISTURE; PARAMETER ESTIMATION; PERMITTIVITY; REFLECTOMETERS; TIME DOMAIN ANALYSIS; VOLCANOES;

SOLID FRACTION; TIME DOMAIN REFLECTOMETRY (TDR); VOLCANIC SOILS;

SOIL MECHANICS;

CALIBRATION; PERMITTIVITY; SOIL WATER; TIME DOMAIN REFLECTOMETRY; VOLCANIC SOIL;

EID: 5444247215     PISSN: 00167061     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geoderma.2004.01.026     Document Type: Article

References (36)

1. Alarthi A., Lange J. Soil water saturation: dielectric determination. Water Resour. Res. 23:1987;591-595
2. Birchak J.R., Gardner C.G., Hipp J.E., Victor J.M. High dielectric constant microwave probes for sensing soil moisture. Proc. IEEE. 62:1974;93-98
3. Dirksen C., Dasberg S. Improved calibration of time domain reflectometry soil water content measurements. Soil Sci. Soc. Am. J. 57:1993;660-667
4. Dobson M.C., Ulaby F.T., Hallikainen M.T., El-Rayes M.A. Microwave dielectric behavior of wet soil. Part II: dielectric mixing models. IEEE Trans. Geosci. Remote Sens. GE-23:1985;35-46
5. Ferre P.A., Rudolph D.L., Kachanoski R.G. Spatial averaging of water content by time domain reflectometry: implications for twin rod probes with and without dielectric coatings. Water Resour. Res. 32:1996;271-279
6. Hook W.R., Livingston N.J. Errors in converting time domain reflectometry measurements of propagation velocity to estimates of soil water content. Soil Sci. Soc. Am. J. 59:1995;35-41
7. Jones S.B., Friedman S.P. Particle shape effects on the effective permittivity of anisotropic or isotropic media consisting of aligned or randomly oriented ellipsoidal particles. Water Resour. Res. 36:2000;2821-2833
8. Klute A. Methods of Soil Analysis. 2nd. ed. Agronomy Monograph. vol. 9:1986;635-662 ASA-SSSA, Madison
9. Knight R., Abad A. Rock/water interaction in dielectric properties: experiments with hydrophobic sandstones. Geophysics. 60:1995;431-436
10. Knight R.J., Endres A.L. A new concept in modeling the dielectric response of sandstones: defining a wetted rock and bulk water system. Geophysics. 55:1990;586-594
11. Lichtenecker K. Die Dielektrizitätskonstante natürlicher und künstlicher Mischkörper. Physikalische Zeitschrift. 27:1926;115-158
12. Looyenga H. Dielectric constants of mixtures. Physica. 31:1965;401-406
13. Malicki M.A., Plagge R., Roth C.H. Improving the calibration of dielectric TDR soil moisture determination taking into account the solid soil. Eur. J. Soil Sci. 47:1996;357-366
14. Miyamoto T., Kobayashi R., Annaka T., Chikushi J. Applicability of multiple length TDR probes to measure water distributions in an Andisol under different tillage systems in Japan. Soil Tillage Res. 60:2001;91-99
15. Mulla D.J., Cushman J.H., Low P.F. Molecular dynamics and statistical mechanics of water near an uncharged silicate surface. Water Resour. Res. 20:1984;619-628
16. Newman A.C.D. The specific surface of soils determined by water sorption. J. Soil Sci. 34:1983;23-32
17. Newton, R.W., 1977. Microwave remote sensing and its application to soil moisture detection. Ph.D. dissertation. Texas A&M Univ., College Station.
18. Olhoeft G.R. Electrical properties of rocks. Touloukian Y.S., Judd W.R., Roy R.F. Physical Properties of Rocks and Minerals. vol. II-2:1989;298-324 Hemisphere Pub., New York
19. Or D., Wraith J.M. Temperature effects on soil bulk dielectric permittivity measured by time domain reflectometry: a physical model. Water Resour. Res. 35:1999;371-383
20. Regalado C.M., Muñoz Carpena R., Socorro A.R., Hernández Moreno J.M. Time domain reflectometry models as a tool to understand the dielectric response of volcanic soils. Geoderma. 117:2003;313-330
21. Roth K., Schulin R., Flühler H., Attinger W. Calibration of time domain reflectometry for water content measurement using a composite dielectric approach. Water Resour. Res. 26:1990;2267-2273
22. Roth C.H., Malicki M.A., Plagge R. Empirical evaluation of the relationship between soil dielectric constant and volumetric water content as the basis for calibrating soil moisture measurements by TDR. J. Soil Sci. 43:1992;1-13
23. Saarenketo T. Electrical properties of water in clay and silty soils. J. Appl. Geophys. 40:1998;73-88
24. Sen P.N., Scala C., Cohen M.H. A self similar model for sedimentary rocks with application to the dielectric constant of fused glass beads. Geophysics. 46:1981;1302-1311
25. Soil Science Society of America Glossary of Soil Science Terms. 1997;SSSA, Madison, WI
26. Sposito G., Prost R. Structure of water adsorbed on smectites. Chem. Rev. 82:1982;553-573
27. Todoroff P., Langellier P. Comparison of empirical and partly deterministic methods of time domain reflectometry calibration based on a study of two tropical soils. Soil Tillage Res. 45:1998;325-340
28. Tomer M.D., Clothier B.E., Vogeler I., Green S. A dielectric-water content relationship for sandy volcanic soils in New Zealand. Soil Sci. Soc. Am. J. 63:1999;777-781
29. Topp G.C., Davis J.L., Annan A.P. Electromagnetic determination of soil water content: measurement in coaxial transmission lines. Water Resour. Res. 16:1980;574-582
30. Vogeler I., Clothier B.E., Geen S.R., Scotterand D.R., Tillman R.W. Characterizing water and solute movement by time domain reflectometry and disk permeametry. Soil Sci. Soc. Am. J. 60:1996;5-12
31. Wang The dielectric properties of soil-water mixtures at microwave frequencies. Radio Sci. 15:1980;977-985
32. Wang J.R., Schmugge T.J. An empirical model for the complex dielectric permittivity of soils as a function of water content. IEEE Trans. Geosci. Remote Sens. GE-18:1980;288-295
33. Weitz A.M., Grauel W.T., Keller M., Veldkamp E. Calibration of time domain reflectometry technique using undisturbed soil samples from humid tropical soils of volcanic origin. Water Resour. Res. 33:1997;1241-1249
34. Yu C., Warrick A.W., Conklin M.H. Derived functions of time domain reflectometry for soil moisture measurement. Water Resour. Res. 35:1999;1789-1796
35. Zakri, T., 1997. Contribution à l'étude des propriétés diélectriques de matériaux poreux en vue de l'estimation de leur teneur en eau: modèles de mélange et résultats expérimentaux. Ph.D. thesis. Laboratoire d'étude de Transferts en Hydrologie et Environnement, l'Institut National Polytechnique de Grenoble, France.
36. Zakri T., Laurent J.P., Vauclin M. Theoretical evidence of the Lichtenecker's mixture formulae based on the effective medium theory. J. Phys., D. Appl. Phys. 31:1998;1589-1594