Measurement of the complex permittivity of dry rocks and minerals: Application of polythene dilution method and Lichtenecker's mixture formulae

Geophysical Journal International

Volumn 163, Issue 3, 2005, Pages 1195-1202

  Zheng, Yongchun ^a,b,c   Wang, Shijie ^a   Feng, Junming ^a   Ouyang, Ziyuan ^a,b   Li, Xiongyao ^a,c  

^a INSTITUTE OF GEOCHEMISTRY   (China)

^b CHINESE ACADEMY OF SCIENCES   (China)

^c UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Complex permittivity; Dry rock and mineral; Lichtenecker's mixture formulae; Polythene dilution method; Resonant cavity perturbation method

Indexed keywords

ELECTRICAL METHOD; MEASUREMENT METHOD; MINERAL; PERMITTIVITY; ROCK;

EID: 33645783847     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2005.02718.x     Document Type: Article

References (56)

1. Afsar, M.N., Birch, J.R. & Clarke, R.N., 1986. The measurement of the properties of materials, Proc. IEEE, 74, 183-199.
2. Ahmad, M.S. & Zihlif, A.M., 1990. Some magnetic and electrical properties of basalt rocks, Materials Letters, 10 (4-5), 207-214.
3. Altschuler, H.M., 1963. Dielectric Constant, in Handbook of Microwave Measurements, ed. Sucher, J.F.M., Polytechnic Press, New York/London, p. 495.
4. Aregba, D., Gay, J. & Maze-Merceur, G., 1994. Modelling multiport using a three-dimensional coupled analytical/finite element method application to microwave characterization of material, IEEE Trans. Microwave Theory Tech., 42, 590-594.
5. ASTM, 1977. Standard test methods for complex permittivity (dielectric constant) of solid electrical insulating materials at microwave frequencies and temperatures to 1650 °C. American National Standard ANSI/ASTM D 2520 - 77, pp. 613-634.
6. Baker-Jarvis, J., Janezic, M., Grosvenor, J. & Geyer, R., 1993. Transmission/reflection and short-circuit line methods for measuring permittivity and permeability, Tech. Note 1355-R, Natl. Inst. Stand. Technol.
7. Baker-Jarvis, J., Vanzura, E. & Kissick, W., 1990. Improved technique for determining complex permittivity with the transmission/ reflection method, IEEE Trans. Microwave Theory Tech, 38, 1096-1103.
8. Best, M.G., 2003. Igneous and Metamorphic Petrology, Blackwell, Malden, MA.
9. Birchak, J.R., Gardener, C.G., Hipp, J.G., & Victor, J.M., 1974. High dielectric constant microwave probes for sensing soil moisture, Proc. IEEE, 62, 93-98.
10. Bottom, V.E., 1972. Dielectric constants of quartz, Journal of Applied Physics, 43 (4), 1493.
11. Boughriet, A.H., Legrand, C. & Chapoton, A., 1997. Noniterative stable transmission/reflection method for low-loss material complex permittivity determination, IEEE Trans. Microwave Theory Tech., 45 (1), 52-57.
12. Catala-Civera, J.M., Canos, A.J., Penaranda-Foix, F.L. & de los Reyes Davo, E., 2003. Accurate determination of the complex permittivity of materials with transmission reflection measurements in partially filled rectangular waveguides, IEEE Trans. Microwave Theory Tech., 51 (1), 16-24.
13. Chao, S.H., 1985. Measurements of microwave conductivity and dielectric constant by the cavity perturbation method and their errors, IEEE Trans. Microwave Theory Tech., 33, 519.
14. Clarke, R.N. & Rosenberg, C.B., 1982. Fabry-perot and open resonators at microwave and millimeter wave frequencies 2-300 GHz, J. Physics Earth Science Instrum, 15, 9-24.
15. Coccioli, R., Pelosi, G. & Selleri, S., 1999. Characterization of dielectric materials with the finite-element method, IEEE Trans. Microwave Theory Tech., 47, 1106-1111.
16. Courtney, W.E., 1970. Analysis and evaluation of a method of measuring the complex permittivity and permeability of microwave insulators, IEEE Trans. Microwave Theory Tech., 18 (8), 476-485.
17. Cret, R. & Cret, L., 2004. Numerical computation of dielectric permittivity of mixtures, Journal of Optoelectronics and Advanced Materials, 6 (3), 1045-1048.
18. Dirksen, C. & Dasberg, S., 1993. Improved calibration of time domain reflectometry soil water content measurements, Soil Sci. Soc. Am. J., 57, 660-667.
19. Garrouch, A.A. & Sharma, M.M., 1995. Dielectric properties of partially saturated rocks, Energy & Fuels, 9 (3), 413-419.
20. Goosey, M.T., 1985. Plastics for electronics, Elsevier Science Pub. Co., New York, 380 pp.
21. Griffin, R.E., 1974. Dielectric constants and dissipation factors of simulated lunar rocks 19P, International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts, 11(11), A222.
22. Guéguens, Y. & Palciauska, V., 1994. Introduction to the Physics of Rocks, Princeton University Press, Princeton, 292 pp.
23. Hakki, B.W. & Coleman, P.D., 1960. A dielectric resonator method of measuring inductive capacities in the millimeter ranger, IEEE Trans. Microwave Theory Tech, 402-410.
24. Heimovaara, T.J., Verstraten, J.M. & Bouten, W., 1994. Frequency domain analysis of time domain reflectometry waveforms: 2. A four-component complex dielectric mixing model for soils, Water Resources Res., 30(2), 201-209.
25. Hook, W.R. & Livingston, N.J., 1995. Errors in converting time domain reflectometry of propagation velocity to estimates of soil water content, Soil Sci. Soc. Am. J., 59, 35-41.
26. Howell, B.F. & Cicastro, P.H., 1961. Dielectric behavior of rocks and mineral, The American Mineralogist, 46(3), 269-288.
27. Janezic, M.D. & Jargon, J.A., 1999. Complex permittivity determination from propagation constant measurements, IEEE Trans. Microwave Theory Tech., 9(2), 76-78.
28. Keller, G.V., 1982. Electrical properties of rocks and minerals, in Handbook of physical properties of rocks, pp. 217-294, ed. Carmichael, R. S., Vol. 1, CRC Press, Boca Raton.
29. Klein, O., Donovan, S., Dressel, M. & Grüer, G., 1993. Microwave cavity perturbation technique, International Journal of Infrared and Millimeter Waves, 14 (12), 2423-2517.
30. Kobayashi, Y., Tamura, H. & Round, R., 1994. Test on a dielectric resonator method for measuring complex permittivity at microwave frequency. IEICE Trans. Electron. E77-C, 882-887.
31. Komarov, V.V. & Yakovlev, V.V., 2003. Modeling control over determination of dielectric properties by the perturbation technique, Microwave and Optical technology Letters, 39(6), 443-446.
32. Lichtenecker, K., 1926. Die dielektrizitatskonstante naturlicher und kunstlicher mischkorper, Physikalische Zeitschrift, 27, 115-158.
33. Lichtenecker, K. & Rother, K., 1931. Die herleitung des logarithmischen mischungsgesetzes aus allgemeinen prinzipien der stationaeren stroemung. Physikalische Zeitschrift, 32, 255-260.
34. Meng, B., Booske, J. & Cooper, R., 1995. Extended cavity perturbation technique to determine the complex permittivity of dielectric materials. IEEE Trans Microwave Theory Tech, MTT- 43, 2633-2636.
35. Nguyen, B.-L., Bruining, J. & Slob, E.C., 1998. Measurement of dielectric parameters of rock cores at 300 kHz to 3 GHz frequencies, Proceedings of the 6th International Oil & Gas Conference and Exhibition, Nov 2-6 1998. Beijing, China, (SPE), Richardson, TX, USA, Society of Petroleum, pp. 639-647.
36. Ni, E.H. & Ni, U.Q., 1997. Extra-cavity perturbation method for the measurement of dielectric resonator materials, Rev. Sci. Instrum, 68, 2524-2528.
37. Olhoeft, G.R., 1976. Electrical properties of rocks, in The Physics and Chemistry of Rocks and Minerals, pp. 261-278, ed. Strens, R.J.G., Wiley, London.
38. Progelhof, R.C. & Throne, J.L., 1993. Polymer Engineering Principles: Properties, Processes, and Tests for Design. Hanser Publishers, Munich, 918 pp.
39. Roth, K., Schulin, R., Flühler, H. & Attinger, W., 1990. Calibration of time domain reflectometry for water content measurement using a composite dielectric approach, Water Resources Res., 26, 2267-2273.
40. Rust, A.C., Russell, J.K. & Knight, R.J., 1999. Dielectric constant as a predictor of porosity in dry volcanic rocks, J. Volc. Geotherm. Res., 91, 79-96.
41. Schaumburg, G. & Helberg, H.W., 1994. Application of a cavity perturbation method to the measurement of the complex microwave impedance of thin super- or normal conducting films, Journal de Physique III(4), 917-927.
42. Seyfried, M.S. & Murdock, M.D., 1996. Calibration of time domain reflectometry for measurement of liquid water in frozen soils, Soil Sci, 161, 87-98.
43. Slater, J.C., 1946. Microwave electronics, Rev. Mod. Phys., 18(4), 441-512.
44. Tareev, B.M., 1982. Fizika dielectriceskih materialov (in Russian). Energoizdat, Moskva.
45. Tian, B., Liu, Q., Yang, D. & Tang, J., 2002. Three equationss or determining material complex permittivity using transmission/reflection method, Journal of Astronautics, 23(5), 21-27 (in Chinese with English abstract).
46. Tian, B.N., Yang, D.S., Tang, J.M. & Liu, Q.Z., 2001. Analysis of transmission/reflection method for measuring electromagnetic parameters of materials, Chinese Journal of Radio Science, 16(1), 57-60 (in Chinese with English abstract).
47. Ulaby, F.T. et al., 1990. Microwave dielectric properties of dry rocks, IEEE Trans. Geo. Rem. Sens., 28(3), 325-336.
48. Vaid, J.K., Prakash, A. & Mansingh, A., 1979. Measurement of dielectric parameters at microwave frequencies by cavity perturbation technique, IEEE Trans. Microwave Theory Tech., 27, 791-795.
49. Waldron, R.A., 1960. Perturbation theory of resonant cavities, Proc. Inst. Elec. Eng., 107C, 272.
50. Wallin, S.R., 1985. Dielectric properties of heterogeneous media, PhD thesis, 46-106.
51. Wang, X.Y. et al., 1999. Relative dielectric constant of dry rocks, Chinese Science Bulletin, 44(24), 2286-2292.
52. Ward, R.W., 1992. The constants of alpha quartz, Proc. 14th Piezoelectric Devices Conference and Exhibition, Vol. 2, EIA, 14-23
53. Winter, J.D., 2001. An Introduction to Igneous and Metamorphic Petrology, Prentice Hall, Upper Saddle River, New Jersey.
54. Zakri, T. & Laurent, J.P., 1998. Time domain reflectometry techniques for water content measurement, High Temp - High Pressures, 30, 19-23.
55. Zakri, T., Laurent, J.P. & Vauclin, M., 1998. Theoretical evidence for 'Lichtenecker's mixture formulae' based on the effective medium theory. Journal of Physics D Applied Physics, 31, 1589-1594.
56. Zheng, Y., Wang, S., Ouyang, Z. & Li, X., 2005. Measurement of the dielectric properties of volcanic scoria and Basalt at 9370 MHz, Acta Geologica Sinica, 79(2), 801-805.