New Methodology for Density and Water Content by Time Domain Reflectometry
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 139, Issue 5
Abstract
This paper provides a new methodology for determining soil water content and density under different compaction energies. A new calibration equation was introduced making use of the voltage drop associated with the first passage of the electromagnetic wave through the soil specimen, the final voltage level after wave propagation ceases, and dry density normalized by the density of water. The new calibration equation allows for the direct calculation of dry density. Values of dry density are then used in the normalized apparent dielectric constant equation to determine the water content. Results of numerous laboratory tests on a wide variety of soils (including coarse-grained soils) showed that the proposed method accommodates different levels of compaction energy. The method also was validated with different field tests at sites commonly used in geotechnical earthwork construction, using soil-specific model coefficients determined from laboratory compaction tests. The results of this study indicate that the new calibration relationships appear relatively independent of the effects of compaction energy and of probe configuration in time domain reflectometry (TDR) testing. The proposed method presents an improvement to the one-step TDR method.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Professor Maria C. Santagata, Professor P. Suresh C. Rao, Professor Robert N. Nowack, and Professor James V. Krogmeier at Purdue University provided many valuable comments through discussions. The late Janet Lovell was of significant help in performing the experiments in this research. Chris Doktorcik and Jessica Zartman helped with some of the TDR tests. S. Jung acknowledges the Indiana Department of Transportation through the Joint Transportation Research Program and the School of Civil Engineering for financial support. M. R. Abou Najm acknowledges the financial support provided by National Science Foundation Grant No. 0943682.
References
Abu-Hassanein, Z. S., Benson, C. H., and Blotz, L. R. (1996). “Electrical resistivity of compacted clays.” J. Geotech. Eng., 122(5), 397–406.
Alharthi, A., and Lange, J. (1987). “Soil water saturation: Dielectric determination.” Water Resour. Res., 23(4), 591–595.
Annan, A. P. (1977). “Air-gap problem for parallel wire transmission lines.” Part B. 77-1B, Geological Survey of Canada, Ottawa 59–62.
ASTM. (2005). “Standard test method for water content and density of soil in place by time domain reflectometry (TDR).” D6780, West Conshohocken, PA.
ASTM. (2007a). “Standard test method for density and unit weight of soil in place by sand-cone method.” D1556, West Conshohocken, PA.
ASTM. (2007b). “Standard test methods for laboratory compaction characteristics of soil using standard effort.” D698, West Conshohocken, PA.
ASTM. (2007c). “Standard test method for particle-size analysis of soils.” D422, West Conshohocken, PA.
ASTM. (2009). “Standard test methods for laboratory compaction characteristics of soil using modified effort.” D1557, West Conshohocken, PA.
ASTM. (2010a). “Standard practice for classification of soils for engineering purposes (Unified Soil Classification System).” D2487, West Conshohocken, PA.
ASTM. (2010b). “Standard test methods for laboratory determination of water (moisture) content of soil and rock by mass.” D2216 West Conshohocken, PA.
ASTM. (2010c). “Standard test methods for liquid limit, plastic limit, and plasticity index of soils.” D4318, West Conshohocken, PA.
ASTM. (2010d). “Standard test methods for specific gravity of soil solids by water pycnometer.” D854, West Conshohocken, PA.
Chen, R., Xu, W., and Chen, Y. (2009). “Measuring dielectric constant in highly conductive soils based on surface reflection coefficients.” J. Geotech. Geoenviron. Eng., 135(12), 1883–1891.
Clarkson, T. S., Glasser, L., Tuxworth, R. W., and Williams, G. (1977). “An appreciation of experimental factors in time-domain spectroscopy.” Adv. Mol. Relax. Int. Proc., 10(3), 173–202.
Dallinger, T. E. (2006). “Geometric and temperature effects on time domain reflectometry measurements in soils.” M.S. thesis, Purdue Univ., West Lafayette, IN.
Dalton, F. N., Herkelrath, W. N., Rawlins, D. S., and Rhoades, J. D. (1984). “Time-domain reflectometry: simultaneous measurement of soil water content and electrical conductivity with a single probe.” Science, 224(4652), 989–990.
Dalton, F. N., and Van Genuchten, M. T. (1986). “The time-domain reflectometry method for measuring soil water content and salinity.” Geoderma, 38(1–4), 237–250.
Daniel, D., and Benson, C. H. (1990). “Water content-density criteria for compacted soil liners.” J. Geotech. Eng., 116(12), 1811–1830.
Dasberg, S., and Hopmans, J. W. (1992). “Time domain reflectometry calibration for uniformly and nonuniformly wetted sandy and clayey loam soils.” Soil Sci. Soc. Am. J., 56(5), 1341–1345.
Dirksen, C., and Dasberg, S. (1993). “Improved calibration of time domain reflectometry soil water content measurements.” Soil Sci. Soc. Am. J., 57(3), 660–667.
Drnevich, V. P., Ashmawy, A. K., Yu, X., and Sallam, A. M. (2005). “Time domain reflectometry for water content and density of soils: Study of soil-dependent calibration constants.” Can. Geotech. J., 42(4), 1053–1065.
Drnevich, V. P., Yu, X., Lovell, J., and Tishmack, J. (2001). “Temperature effects on dielectric constant determined by time domain reflectometry.” Proc., TDR 2001, 2nd Int. Symp. and Workshop on Time Domain Reflectometry for Innovative Geotechnical Applications, Infrastructure Technology Institute, Evanston, IL, 483–494.
Durham, G. N., and Keegan, B. (2005). “Florida DOT beta study of Purdue's one-step TDR method.” Internal Rep., Durham-Geo Enterprises, Stone Mountain, GA.
Evans, A. C. (2006). “Compaction control of large-sized granular soils/aggregates: The vibrating hammer method of compaction and time domain reflectometry.” M.S. thesis, Purdue Univ., West Lafayette, IN.
Fellner-Feldegg, H. (1969). “The measurement of dielectrics in the time domain.” J. Phys. Chem., 73(3), 616–623.
Feng, W., Lin, C.-P., Deschamps, R. J., and Drnevich, V. P. (1999). “Theoretical model of a multisection time domain reflectometry measurement system.” Water Resour. Res., 35(8), 2321–2331.
Ferre, P. A., Rudolph, D. L., and Kachanoski, R. G. (1996). “Spatial averaging of water content by time domain reflectometry: implications for twin rod probes with and without dielectric coatings.” Water Resour. Res., 32(2), 271–279.
Giese, K., and Tiemann, R. (1975). “Determination of the complex permittivity from thin-sample time domain reflectometry improved analysis of the step response waveform.” Adv. Mol. Relax. Int. Proc., 7(1), 45–59.
Heimovaara, T. J. (1994). “Frequency domain analysis of time domain reflectometry waveforms, 1. Measurement of the complex dielectric permittivity of soils.” Water Resour. Res., 30(2), 189–199.
Herkelrath, W. N., Hamburg, S. P., and Murphy, F. (1991). “Automatic, real-time monitoring of soil moisture in a remote field area with time domain reflectometry.” Water Resour. Res., 27(5), 857–864.
Hokett, S. L., Chapman, J. B., and Cloud, S. D. (1992). “Time domain reflectometry response to lateral soil water content heterogeneities.” Soil Sci. Soc. Am. J., 56(1), 313–316.
Jung, S. (2011). “New methodology for soil characterization using time domain reflectometry.” Ph.D. dissertation, Purdue Univ., West Lafayette, IN.
Jung, S., Drnevich, V. P., Abou Najm, M. R. (2013). “Temperature corrections for time domain reflectometry parameters.” J. Geotech. Geoenviron. Eng., 139(5), 671–683.
Knight, J. H., Ferre, P. A., Rudolph, D. L., and Kachanoski, R. G. (1997). “A numerical analysis of the effects of coatings and gaps upon relative dielectric permittivity measurement with time domain reflectometry.” Water Resour. Res., 33(6), 1455–1460.
Ledieu, J., De Ridder, P., De Clerck, P., and Dautrebande, S. (1986). “A method of measuring soil moisture by time-domain reflectometry.” J. Hydrol. (Amst.), 88(3–4), 319–328.
Lee, W., Bohra, N. C., and Altschaeffl, A. G. (1995). “Resilient characteristics of dune sand.” J. Transp. Eng., 121(6), 502–506.
Li, H., and Sego, D. C. (2000). “Equation for complete compaction curve of fine-grained soils and its applications.” Constructing and controlling compaction of earth fills, ASTM STP 1384, D. W. Shanklin, K. R. Rademacher, and J. R. Talbot, eds., ASTM, West Conshohocken, PA, 113–125.
Lin, C.-P. (1999). “Time domain reflectometry for soil properties.” Ph.D. dissertation, Purdue Univ., West Lafayette, IN.
Lin, C.-P. (2003). “Frequency domain versus travel time analyses of TDR waveforms for soil moisture measurements.” Soil Sci. Soc. Am. J., 67(3), 720–729.
Malicki, M. A., Plagge, R., and Roth, C. H. (1996). “Improving the calibration of dielectric TDR soil moisture determination taking into account the solid soil.” Eur. J. Soil Sci., 47(3), 357–366.
Nadler, A., Dasberg, S., and Lapid, I. (1991). “Time domain reflectometry measurements of water content and electrical conductivity of layered soil columns.” Soil Sci. Soc. Am. J., 55(4), 938–943.
Ogletree, S. T., and Makios, V. (1972). “The development of a narrow-band time domain reflectometer.” IEEE Trans. Instrum. Meas., 21(2), 161–166.
Oliver, B. M. (1964). “Time domain reflectometry.” Hewlett Packard J., 15(6), 1–7.
Or, D., and Wraith, J. M. (1999). “Temperature effects on soil bulk dielectric permittivity measured by time domain reflectometry: A physical model.” Water Resour. Res., 35(2), 371–383.
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.” J. Soil Sci., 43(1), 1–13.
Seed, H. B. and Chan, C. K. (1959). “Structure and strength characteristics of compacted clays.” J. Soil Mech. Found. Div., 85(SM 5), 87–128.
Siddiqui, S. I., and Drnevich, V. P. (1995). “Use of time domain reflectometry for determination of water content and density of soil.” FHWA/IN/JHRP-95-9, Purdue Univ., West Lafayette, IN.
Sihvola, A. H. (1999). Electromagnetic mixing formulas and applications, Institute of Electrical Engineers, London.
Topp, G. C., Davis, J. L., and Annan, A. P. (1980). “Electromagnetic determination of soil water content: measurements in coaxial transmission lines.” Water Resour. Res., 16(3), 574–582.
U.S. Army Corps of Engineers. (1980). Engineering manual EM-1110-2-1906, laboratory soils testing,U.S. Army Corps of Engineers, Washington, DC.
Wraith, J. M., and Or, D. (1999). “Temperature effects on soil bulk dielectric permittivity measured by time domain reflectometry: Experimental evidence and hypothesis development.” Water Resour. Res., 35(2), 361–369.
Wyseure, G. C. L., Mojid, M. A., and Malik, M. A. (1997). “Measurement of volumetric water content by TDR in saline soils.” Eur. J. Soil Sci., 48(2), 347–354.
Yanuka, M., Topp, G. C., Zegelin, S. J., and Zebchuk, W. D. (1988). “Multiple reflection and attenuation of time domain reflectometry pulses: Theoretical considerations for applications to soil and water.” Water Resour. Res., 24(7), 939–944.
Yu, C., Warrick, A. W., Conklin, M. H., Young, M. H., and Zreda, M. (1997). “Two- and three-parameter calibrations of time domain reflectometry for soil moisture measurement.” Water Resour. Res., 33(10), 2417–2421.
Yu, X. (2003). “Influence of material properties and environmental conditions on electromagnetic wave propagation in soil.” Ph.D. dissertation, Purdue Univ., West Lafayette, IN.
Yu, X., and Drnevich, V. P. (2004). “Soil water content and dry density by time domain reflectometry.” J. Geotech. Geoenviron. Eng., 130(9), 922–934.
Zambrano, C. E. (2006). “Soil type identification using time domain reflectometry.” M.S. thesis, Purdue Univ., West Lafayette, IN.
Zegelin, S. J., White, I., and Jenkins, D. M. (1989). “Improved field probes for soil water content and electrical conductivity measurement using time domain reflectometry.” Water Resour. Res., 25(11), 2367–2376.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 22, 2012
Accepted: May 24, 2012
Published online: May 28, 2012
Published in print: May 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.