Cover
Vol. 4 No. 1 (2008)

Published: September 30, 2008

Pages: 26-32

Original Article

Semi-Empirical Models for the Variation of Soil Complex Permittivity with Depth

Abstract

In this paper new semi-empirical formulas are developed to evaluate the variation of both real and imaginary parts of soil complex permittivity with depth inside the earth's surface. Computed values using these models show good agreement with published measured values for soils of the same textures and same frequency band. Use of these models may serve to handle more accurate results especially in the ground probing radar (GPR) applications and other applications relating the detection of buried objects inside the earth's surface, where the use of a single average value of the soil complex permittivity had not necessarily led, for most of the times, to accurate results for the electromagnetic fields propagated inside the earth's surface.

References

  1. R.L. Smith-Rose, “The Electrical Properties of Soils for Alternating Currents at Radio Frequencies,” Proc. Roy. Soc. Serv. A, 140, pp. 221-235 , 1935.
  2. . W. P. Waite, “Microwave Bistatic Reflectivity Dependence on Moisture Contents and Matric Potential of Bare Soil,” IEEE, Trans. Geosci. Remote Sensing , vol. GE-22, no. 4, July 1984.
  3. . F. E. and D. Williams, “Dielectric Constant of Soils at Microwave Frequencies, NASA-TM657987 , April, 1972.
  4. . P. Hoekstra and A. Delaney, “Dielectric Properties of Soils at Microwave Frequencies,” .J. Geophys. Res. vol. 79, pp. 1699-1709, 1974.
  5. . J. R. Wang, “Dielectric Properties of Soils-Water Mixtures at Microwave Frequencies,” NASA-TM-80597, March 1980.
  6. . M. C. Dobson, “Microwave Dielectric Behavior of Wet Soil,” IEEE, Trans. 23, no. 1, Jan. 1985 .
  7. . Kyeonghwan .H. Lee, “A Dielectric Permittivity Sensor for Simultaneous Measurement of Multiple Soil Properties,” Ph.D Thesis, Kansas State University , May, 2006.
  8. Matt Nolan and Dennis R. Fatland, “Penetration Depth as a DInSAR Observable and Proxy for Soil Moisture,” IEEE Trans. on Geosci, and Remote Sensing , vol. 41, no. 3, pp. 532537, March 2003.
  9. E. G. Njoku and D. Entekhabi, “Passive Microwave Remote Sensing of Soil Moisture,” J. Hydrol. , pp. 101–129, 1996.
  10. . W. A. Judy, W. H. Gardner and W. R. 1991.
  11. .Jawad K.Ali, Jabir.S.Aziz, and Mahmoud T.Al-Naimy, Complex Permittivity Measurement of Soil in the Middle and South of Iraq at 3 cm Wavelength, 4 th Scientific Conference , Scientific Research Council , 23-28, Oct., 1986, Baghdad, Iraq .
  12. . Jawad K.Ali, Jabir.S.Aziz, and Mahmoud T.Al-Naimy, “Soil Saturation and Soil Field Capacity: Empirical Formulas,”
  13. F. T. Ulaby, R. K. Moore, and A. K. Fung, Microwave Remote Sensing, Reading, MA: vol. 2, Fundamentals of Radiometry. Addison-Wesley , 1982.