On the relationship between matric potential and dielectric properties of organic free soils: A sensitivity study

Canadian Geotechnical Journal

Volumn 46, Issue 10, 2009, Pages 1202-1215

  Wagner, Norman ^a   Scheuermann, Alexander ^b  

^a BAUHAUS UNIVERSITY WEIMAR   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Dielectric spectroscopy; Soil matric potential; Soil moisture; Time domain reflectometry (TDR)

Indexed keywords

BINDING STATE; BONDING FORCES; CALIBRATION FUNCTIONS; COUNTERIONS; DIRECT-CURRENT; ELECTROMAGNETIC MATERIALS; FINE GRAINED SOIL; FREQUENCY DEPENDENCE; HIGH FREQUENCY HF; INTERFACE EFFECT; LOW FREQUENCY; MATRIC POTENTIAL; MAXWELL-WAGNER EFFECT; MIXING MODELS; PEDOTRANSFER FUNCTIONS; POROUS MEDIA; RELATIVE DIELECTRIC PERMITTIVITY; RELAXATION EFFECT; SEMI-EMPIRICAL; SENSITIVITY STUDIES; SOIL MATRIC POTENTIAL; SOIL SUCTION; SOIL TEXTURES; THERMODYNAMIC RELATIONSHIPS; TIME-DOMAIN REFLECTOMETRY (TDR); VOLUMETRIC WATER CONTENT; WATER PHASE;

CLAY MINERALS; DIELECTRIC DEVICES; DIELECTRIC RELAXATION; DIELECTRIC SPECTROSCOPY; GROUNDWATER; MOISTURE DETERMINATION; PERMITTIVITY; PHASE INTERFACES; POROUS MATERIALS; REFLECTION; REFLECTOMETERS; SOIL MOISTURE; TIME DOMAIN ANALYSIS; WATER CONTENT;

GEOLOGIC MODELS;

COMPARATIVE STUDY; DIELECTRIC PROPERTY; ELECTROMAGNETIC METHOD; PERMITTIVITY; POROUS MEDIUM; SENSITIVITY ANALYSIS; SOIL MOISTURE; THERMODYNAMIC PROPERTY; TIME DOMAIN REFLECTOMETRY; WATER CONTENT;

EID: 70350424408     PISSN: 00083674     EISSN: None     Source Type: Journal    
DOI: 10.1139/T09-055     Document Type: Article

References (99)

1. Agmon, N. 1996. Tetrahedral displacement: The molecular mechanism behind the debye relaxation in water. Journal of Physical Chemistry, 100(3): 1072-1080.
2. Birchak, J., Gardner, C., Hipp, J., and Victor, J. 1974. High dielectric constant microwave probes for sensing soil moisture. Proceedings of the IEEE, 62(1): 93-98.
3. Blonquist, J.M., Jr., Jones, S.B., Lebron, I., and Robinson, D.A. 2006. Microstructural and phase configurational effects determining water content: Dielectric relationships of aggregated porous media. Water Resources Research, 42(5): W05424.
4. Bockris, J., Devanathan, M., and Mueller, K. 1963. On the structure of charged interfaces. Proceedings of the Royal Society of London, 274(1356): 55-79.
5. Bockris, J., Gileadi, E., and Mueller, K. 1966. Dielectric relaxation in the electric double layer. The Journal of Chemical Physics, 44(4): 1445-1456.
6. Börner, F. 2006. Complex conductivity measurements. In Groundwater geophysics - a tool for hydrogeology. Edited by R. Kirsch. Springer, Berlin Heidelberg, Germany. pp. 119-153.
7. Boyarskii, D., Tikhonov, V., and Komarova, N. 2002. Model of dielectric constant of bound water in soil for applications of microwave remote sensing. Journal of Electromagnetic Waves and Applications, 16(3): 411-412.
8. Buchner, R., Barthel, J., and Stauber, J. 1999. The dielectric relaxation of water between 0 °C and 35 °C. Chemical Physics Letters, 306(1-2): 57-63.
9. Carsel, R.F., and Parrish, R.S. 1988. Developing joint probability distributions of soil water retention characteristics. Water Resources Research, 24(5): 755-769.
10. Chapman, D.L. 1913. A contribution to the theory of electrocapillarity. Philosophical Magazine, 25: 475-481.
11. Cosenza, P., and Tabbagh, A. 2004. Electromagnetic determination of clay water content: role of the microporosity. Applied Clay Science, 26(1-4): 21-36.
12. Dinulescu, H. 1979. Thermodynamic state functions of the soil water system. International Journal of Heat and Mass Transfer, 12(3): 243-259.
13. Dobson, M.C., Ulaby, F.T., Hallikainen, M.T., and El-Rayes, M.A. 1985. Microwave dielectric behavior of wet soil - Part II: Dielectric mixing models. IEEE Transactions on Geoscience and Remote Sensing, GE-23(1): 35-46.
14. Drnevich, V., Ashmawy, A., Yu, X., and Sallam, A. 2005. Time domain reflectometry for water content and density of soils: study of soil-dependent calibration constants. Canadian Geotechnical Journal, 42(4): 1053-1065.
15. Dudley, L., Bialkowski, S., Or, D., and Junkermeier, C. 2003. Low frequency impedance behavior of montmorillonite suspensions: Polarization mechanisms in the low frequency domain. Soil Science Society of America Journal, 67(2): 518-526.
16. Ellison, W.J. 2007. Permittivity of pure water, at standard atmospheric pressure, over the frequency range 0-25 thz and the temperature range 0°-100 °C. Journal of Physical and Chemical Reference Data, 36(1): 1-18.
17. Ersahin, S., Gunal, H., Kutlu, T., Yetgin, B., and Coban, S. 2006. Estimating specific surface area and cation exchange capacity in soils using fractal dimension of particle-size distribution. Geoderma, 136(3-4): 588-597.
18. Evett, S.R., and Parkin, G.W. 2005. Advances in soil water content sensing: the continuing maturation of technology and theory. Vadose Zone Journal, 4(4): 986-991.
19. Friedman, S. 1998. A saturation degree-dependent composite spheres model for describing the effective dielectric constant of unsaturated porous media. Water Resources Research, 34(11): 2949-2961.
20. Friedman, S., and Robinson, D. 2002. Particle shape characterization using angle of repose measurements for predicting the effective permittivity and electrical conductivity of saturated granular media. Water Resources Research, 38(11): 12-36.
21. Gouy, G. 1910. Electric charge on the surface of an electrolyte. Journal of Physics and Rudium, 9: 457.
22. Grahame, D.C. 1947. The electrical double layer and the theory of electrocapillarity. Chemical Reviews, 41(3): 441-501.
23. Gupta, A., Coelho, D., and Adler, P. 2007. Influence of the stern layer on electrokinetic phenomena in porous media. Journal of Colloid and Interface Science, 316(1): 140-159.
24. Hanafy, S., and al Hagrey, S.A. 2006. Ground-penetrating radar tomography for soil-moisture heterogeneity. Geophysics, 71(1): K9-K18.
25. Heimovaara, T.J., Huisman, J.A., Vrugt, J.A., and Bouten, W. 2004. Obtaining the spatial distribution of water content along a TDR probe using the SCEM-UA Bayesian inverse modeling scheme. Vadose Zone Journal, 3(4): 1128-1145.
26. Helmholtz, H. 1879. Studien über electrische Grenzschichten. Annalen der Physik und Chemi, 243(7): 337-382.
27. [In German.]
28. Henderson, M. 2002. The interaction of water with solid surfaces: Fundamental aspects revisited. Surface Science Reports, 46(1-8): 1-308.
29. Hilfer, R. 2002. H-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 65: 061510.
30. Hilhorst, M. 1998. Dielectric characterisation of soil. Ph.D. thesis, Wageningen Agricultural University, Wageningen, the Netherlands.
31. Hilhorst, M., Dirksen, C., Kampers, F., and Feddes, R. 2000. New dielectric mixture equation for porous materials based on depolarization factors. Soil Science Society of America Journal, 64(5): 1581-1587.
32. Hilhorst, M., Dirksen, C., Kampers, F., and Feddes, R. 2001. Dielectric relaxation of bound water versus soil matric pressure. Soil Science Society of America Journal, 65(2): 311-314.
33. Hollender, F., and Tillard, S. 1998. Modeling ground-penetrating radar wave propagation and reflection with the jonscher parameterization. Geophysics, 63(6): 1933-1942.
34. Hübner, C. 1999. Entwicklung hochfrequenter Messverfahren zur Boden- und Schneefeuchtebestimmung. Ph.D. thesis, Institut für Meteorologie und Klimaforschung, Forschungszentrum Karlsruhe, Karlsruhe, Germany. [In German.]
35. Huisman, J.A., Hubbard, S.S., Redman, J.D., and Annan, A.P. 2003. Measuring soil water content with ground penetrating radar: A review. Vadose Zone Journal, 2(4): 476-491.
36. Ishida, T., Makino, T., and Wang, C. 2000. Dielectric-relaxation spectroscopy of kaolinite, montmorillonite, allophane, and imogolite under moist conditions. Clays and Clay Minerals, 48(1): 75-84.
37. Ishida, T., Kawase, M., Yagi, K., Yamakawa, J., and Fukada, K. 2003. Effects of the counterion on dielectric spectroscopy of a montmorillonite suspension over the frequency range 10e5-10e10 Hz. Journal of Colloid and Interface Science, 268(1): 121-126.
38. Jacobsen, O.H., and Schjonning, P. 1993. Field evaluation of time domain reflectometry for soil water measurement. Journal of Hydrology (Amsterdam), 151(2-4): 159-172.
39. Jaganathan, A., and Allouche, E. 2008. Temperature dependence of dielectric properties of moist soils. Canadian Geotechnical Journal, 45(6): 888-894.
40. Jones, S.B., and Or, D. 2002. Surface area, geometrical and configurational effects on permittivity of porous media. Journal of Non-Crystalline Solids, 305(1-3): 247-254.
41. Jonscher, A.K. 1977. The universal dielectric response. Nature, 267(5613): 673-679.
42. Kaatze, U. 2007a. Non-conducting and conducting reference liquids for the calibration of dielectric measurement systems. In Proceedings of the 7th International Conference on Electromagnetic Wave Interaction with Water and Moist Substances - ISEMA, Hamamatsu, Japan, 15-18 April 2007. Edited by S. Okamura. ISEMA, Hamamatsu, Japan. pp. 311.
43. Kaatze, U. 2007b. Reference liquids for the calibration of dielectric sensors and measurement instruments. Measurement Science & Technology, 18(4): 967-976.
44. Kaatze, U., and Feldman, Y. 2006. Broadband dielectric spectrometry of liquids and biosystems. Measurement Science & Technology, 17(2): R17-R35.
45. Kelleners, T.J., Robinson, D.A., Shouse, P.J., Ayars, J.E., and Skaggs, T.H. 2005. Frequency Dependence of the Complex Permittivity and Its Impact on Dielectric Sensor Calibration in Soils. Soil Science Society of America Journal, 69(1): 67-76.
46. Knight, R., and Nur, A. 1987. The dielectric constant of sandstones, 60 kHz to 4 MHz. Geophysics, 52(5): 644-654.
47. Kupfer, K. 2005. Electromagnetic aquametry. Edited by K. Kupfer. Springer, Berlin Heidelberg, Germany.
48. Kupfer, K., Trinks, E., Wagner, N., and Hübner, C. 2007. TDR measurements and simulations in high lossy bentonite materials. Measurement Science & Technology, 18(4): 1118-1136.
49. Lambot, S., Antoine, M., van den Bosch, I., Slob, E.C., and Vanclooster, M. 2004a. Electromagnetic inversion of GPR signals and subsequent hydrodynamic inversion to estimate effective vadose zone hydraulic properties. Vadose Zone Journal, 3(4): 1072-1081.
50. Lambot, S., Rhebergen, J., van den Bosch, I., Slob, E.C., and Vanclooster, M. 2004b. Measuring the soil water content profile of a sandy soil with an off-ground monostatic ground penetrating radar. Vadose Zone Journal, 3(4): 1063-1071.
51. Leroy, P., Revil, A., Kemna, A., Cosenza, P., and Ghorbani, A. 2008. Complex conductivity of water-saturated packs of glass beads. Journal of Colloid and Interface Science, 321(1): 103-117.
52. Lichtenecker, K., and Rother, K. 1931. Die Herleitung des logarithmischen Mischungsgesetz es aus allgemeinen Prinzipien der stationären Strömung. Physikalische Zeitschrift, 32: 255-260. [In German].
53. Loeffler, O., and Bano, M. 2004. Ground penetrating radar measurements in a controlled Vadose zone: influence of the water content. Vadose Zone Journal, 3(4): 1082-1092.
54. Logsdon, S., and Laird, D. 2004. Cation and water content effects on dipole rotation activation energy of smectites. Soil Science Society of America Journal, 68(5): 1586-1591.
55. Logsdon, S.D. 2005. Soil dielectric spectra from vector network analyzer data. Soil Science Society of America Journal, 69(4): 983-989.
56. Low, P. 1979. Nature and properties of water in montmorillonite-water systems. Soil Science Society of America Journal, 43(4): 651-658.
57. Malicki, M., Kokot, J., and Skienicha, W. 1998. Determining bulk electrical conductivity of soil from attenuation of electromagnetic pulse. International Agrophysics, 12(3): 181-183.
58. Maxwell-Garnett, J. 1904. Colours in metal glasses and in metallic films. Philosophical Transactions of the Royal Society of London, 203: 385-420.
59. McBride, M., and Baveye, P. 1995. Mobility of anion spin probes in hectorite gels: Viscosity of surficial water. Soil Science Society of America Journal, 59: 388-394.
60. Merriam, J. 2007. Induced polarization and surface electrochemistry. Geophysics, 72(4): F157-F166.
61. Mironov, V., Dobson, M., Kaupp, V., Komarov, S., and Kleshchenko, V. 2004. Generalized refractive mixing dielectric model for moist soils. IEEE Transactions on Geoscience and Remote Sensing, 42(4): 773-785.
62. Mironov, V., Bobrov, P., Kosolapova, L., Mandrygina, V., and Fomin, S. 2006. Data processing technique for deriving soil water spectroscopic parameters in microwave. In Proceedings of the IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Denver, Colo., 31 July - 4 August 2006. Institute of Electrical and Electronics Engineers (IEEE), Los Alamitos, Calif. pp. 2957-2961. doi:10.1109/IGARSS.2006.760.
63. Miyamoto, T., Annaka, T., and Chikushi, J. 2005. Extended dual composite sphere model for determining dielectric permittivity of andisols. Soil Science Society of America Journal, 69(1): 23-29.
64. Noborio, K., Horton, R., and Tan, C.S. 1999. Time domain reflectometry probe for simultaneous measurement of soil matric potential and water content. Soil Science Society of America Journal, 63: 1500-1505.
65. Olhoeft, G. 1985. Low-frequency electrical properties. Geophysics, 50(12): 2492-2503.
66. Olhoeft, G. 1987. Electrical properties from 10-3 to 10+9 Hz - Physics and chemistry. In Proceedings of the 2nd International Symposium on the Physics and Chemistry of Porous Media. American Institute of Physics Conference Proceedings. Vol. 157, pp. 281-298.
67. Or, D., and Wraith, J. 1999. Temperature effects on soil bulk dielectric permittivity measured by time domain reflectometry: A physical model. Water Resources Research, 35(2): 371-383.
68. Pachepsky, Y.A., Timlin, D., and Varallyay, G. 1996. Artificial neural networks to estimate soil water retention from easily measurable data. Soil Science Society of America Journal, 60: 727-733.
69. Park, S.-H., and Sposito, G. 2002. Structure of water adsorbed on a mica surface. Physical Review Letters, 89(8): 085501.
70. Podgornik, R., Cevc, G., and Žekš, B. 1987. Solvent structure effects in the macroscopic theory of van der waals forces. The Journal of Chemical Physics, 87(10): 5957-5967.
71. Regalado, C. 2006. A geometrical model of bound water permittivity based on weighted averages: the allophane analogue. Journal of Hydrology (Amsterdam), 316(1-4): 98-107.
72. Regalado, C.M. 2004. A physical interpretation of logarithmic tdr calibration equations of volcanic soils and their solid fraction permittivity based on lichtenecker's mixing formulae. Geoderma, 123(1-2): 41-50.
73. Robinson, D. 2004. Measurement of the solid dielectric permittivity of clay minerals and granular samples using a time domain reflectometry immersion method. Vadose Zone Journal, 3(2): 705-713.
74. Robinson, D., Jones, S., Blonquist, J., Jr., and Friedman, S. 2005a. A physically derived water content/permittivity calibration model for coarse-textured, layered soils. Soil Science Society of America Journal, 69(5): 1372-1378.
75. Robinson, D., Schaap, M., Or, D., and Jones, S. 2005b. On the effective measurement frequency of time domain reflectometry in dispersive and nonconductive dielectric materials. Water Resources Research, 41(2): 1-9.
76. Robinson, D.A., Jones, S.B., Wraith, J.M., Or, D., and Friedman, S.P. 2003. A review of advances in dielectric and electrical conductivity measurement in soils using time domain reflectometry. Vadose Zone Journal, 2(4): 444-475.
77. Roth, C.H., Malicki, M.A., and Plagge, R. 1992. Empirical evaluation of the relationship between soil dielectric constant and volumetric water content as the basis for calibrating soil moisture measurements by TDR. Journal of Soil Science, 43(1): 1-13.
78. Roth, K., Schulin, R., Fluhler, H., and Attinger, W. 1990. Calibration of time domain reflectometry for water content measurement using a composite dielectric approach. Water Resources Research, 26(10): 2267-2273.
79. Rowe, R., Shang, J., and Xie, Y. 2001. Complex permittivity measurement system for detecting soil contamination. Canadian Geotechnical Journal, 38(3): 498-506.
80. Scheuermann, A., Hübner, C., Schlaeger, S., Wagner, N., Becker, R., and Bieberstein, A. 2008. Spatial time domain reflectometry and its application for the measurement of water content distributions in a full along flat ribbon cables in a full-scale levee model. Water Resources Research, 45: W00D24.
81. Schwarz, G. 1962. A theory of the low-frequency dielectric dispersion of colloidal particles in electrolyte solution. Journal of Physical Chemistry, 66(12): 2636-2642.
82. Serbin, G., and Or, D. 2004. Ground-penetrating radar measurement of soil water content dynamics using a suspended horn antenna. IEEE Transactions on Geoscience and Remote Sensing, 42(8): 1695-1705.
83. Serbin, G., and Or, D. 2005. Ground-penetrating radar measurement of crop and surface water content dynamics. Remote Sensing of Environment, 96(1): 119-134.
84. Shen, L., Savre, W., Price, J., and Athavale, K. 1985. Dielectric properties of reservoir rocks at ultra-high frequencies. Geophysics, 50(4): 692-704.
85. Sihvola, A. 2000. Electromagnetic mixing formulae and applications. IEE Electromagnetic Waves Series, No. 47. Institution of Electrical Engineers, London.
86. Stern, O. 1924. Zur Theorie der elektrolytischen Doppelschicht. Zeitschrift for Elektrochemie, 30: 508-516. [In German.]
87. Teschke, O., Ceotto, G., and De Souza, E. 2001. Interfacial water dielectric-permittivity-profile measurements using atomic force microscopy. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 64: 1-10.
88. Tieleman, D., and Berendsen, H. 1996. Molecular dynamics simulations of a fully hydrated dipalmitoylphosphatidylcholine bilayer with different macroscopic boundary conditions and parameters. The Journal of Chemical Physics, 105(11): 4871-4880.
89. Topp, G., Zegelin, S., and White, I. 2000. Impacts of the real and imaginary components of relative permittivity on time domain reflectometry measurements in soils. Soil Science Society of America Journal, 64(4): 1244-1252.
90. Topp, G.C., Davis, J.L., and Annan, A. 1980. Electromagnetic determination of soil water content: Measurement in coaxial transmission lines. Water Resources Research, 16(3): 574-582.
91. Tuncer, E.M., Gubanski, S., and Nettelblad, B. 2002. Electrical properties of 4x4 binary dielectric mixtures. Journal of Electrostatics, 56(4): 449-463.
92. van Dam, R.L., Borchers, B., and Hendrickx, J.M.H. 2005. Methods for prediction of soil dielectric properties: a review. In Proceedings of Detection and Remediation Technologies for Mines and Minelike Targets X, Orlando, Fla., 28 March - 1 April 2005. Edited by R.S. Harmon, J.T. Broach, and J.H. Holloway, Jr. International Society for Optical Engineering (SPIE), Bellingham, Wash. Vol. 5794. pp. 188-197.
93. van Genuchten, M.T. 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal, 44: 892-898.
94. Wagner, N., Kupfer, K., and Trinks, E. 2007a. A broadband dielectric spectroscopy study of the relaxation behaviour of subsoil. In Proceedings of the 7th International Conference on Electromagnetic Wave Interaction with Water and Moist Substances, Hamamatsu, Japan, 15-18 April 2007. Edited by S. Okamura. pp. 31-38.
95. Wagner, N., Kupfer, K., and Trinks, E. 2007b. Electromagnetic material properties of moist soil determined by broadband dielectric spectroscopy. In Workshop Innovative Feuchtemessung in Forschung und Praxis, Karlsruhe, Germany, 17-18 October 2007. Aedificatio Verlag GmbH, Freiburg, Germany. pp. 37-45. [In German.]
96. Wagner, N., Trinks, E., and Kupfer, K. 2007c. Determination of the spatial TDR-sensor characteristics in strong dispersive subsoil using 3D-FEM frequency domain simulations in combination with microwave dielectric spectroscopy. Measurement Science & Technology, 18(4): 1137-1146.
97. Wang, J., and Schmugge, T. 1980. An empirical model for the complex dielectric permittivity of soils as a function of water content. IEEE Transactions on Geoscience and and Electronics. Remote Sensing, GE-18(4): 288-295.
98. Woodhead, I., Buchan, G., Christie, J., and Irie, K. 2003. A general dielectric model for time domain reflectometry. Biosystems Engineering, 86(2): 207-216.
99. Wraith, J., and Or, D. 1999. Temperature effects on soil bulk dielectric permittivity measured by time domain reflectometry: Experimental evidence and hypothesis development. Water Resources Research, 35(2): 361-369.