Estimation of Relative Subsidence of Collapsible Soils Using Electromagnetic Measurements
Collapsible soils are weak soils that appear to be stable in their natural state, normally dry condition, but rapidly deform under saturation (wetting), thus generating large and unexpected settlements which often yield disastrous consequences for structures unwittingly built on such deposits. In this study, a prediction model for the relative subsidence of stressed collapsible soils based on dielectric permittivity measurement is presented. Unlike most existing methods for soil subsidence prediction, this model does not require moisture content as an input parameter, thus providing the opportunity to obtain accurate estimation of the relative subsidence of collapsible soils using dielectric measurement only. The prediction model is developed based on an existing relative subsidence prediction model (which is dependent on soil moisture condition) and an advanced theoretical frequency and temperature-dependent electromagnetic mixing equation (which effectively removes the moisture content dependence of the original relative subsidence prediction model). For large scale sub-surface soil exploration purposes, the spatial sub-surface soil dielectric data over wide areas and high depths of weak (collapsible) soil deposits can be obtained using non-destructive high frequency electromagnetic (HF-EM) measurement techniques such as ground penetrating radar (GPR). For laboratory or small scale in-situ measurements, techniques such as an open-ended coaxial line with widely applicable time domain reflectometry (TDR) or vector network analysers (VNAs) are usually employed to obtain the soil dielectric data. By using soil dielectric data obtained from small or large scale non-destructive HF-EM investigations, the new model can effectively predict the relative subsidence of weak soils without the need to extract samples for moisture content measurement. Some of the resulting benefits are the preservation of the undisturbed nature of the soil as well as a reduction in the investigation costs and analysis time in the identification of weak (problematic) soils. The accuracy of prediction of the presented model is assessed by conducting relative subsidence tests on a collapsible soil at various initial soil conditions and a good match between the model prediction and experimental results is obtained.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1128789Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 697
 A. Casagrande, “The structure of clay and its importance in foundation engineering,” Journal of Boston Society of Civil Engineers, vol. 19, pp. 168-209, 1932.
 D. G. Fredlund and J. K. M. Gan, “The collapse mechanism of a soil subjected to one-dimensional loading and wetting,” Chapter 9: In Genesis and Properties of Collapsible Soils, Kluwer Academic Publishers, Boston, NATO ASI Series C: Mathematical and Physical Sciences, vol. 468, pp. 173-205, 1995, http://dx.doi.org/10.1007/978-94-011-0097-7_9. (Accessed on 11/07/2016)
 B. Lin and A. B. Cerato, “Electromagnetic properties of natural expansive soils under one-dimensional deformation,” Springer-Verlag Berlin Heidelberg, 2013.
 S. R. Evett, R. C. Schwartz, J. A. Tolk and T. A. Howell, “Soil proﬁle water content determination: spatiotemporal variability of electromagnetic and neutron probe sensors in access tubes,” Vadose Zone Journal, vol. 8, no. 4, pp. 926–941, 2009, http://dx.doi.org/10.2136/vzj2008.0146. (Accessed on 11/07/2016)
 H. M. Jol, “Ground penetrating radar: Theory and applications,” Elsevier, Amsterdam, Netherlands, 2009.
 D. A. Robinson, S. B. Jones, J. M. Wraith, D. Or and S. P. Friedman, “A review of advances in dielectric and electrical conductivity measurement in soils using time domain reﬂectometry,” Vadose Zone Journal, vol. 2, no. 4, pp. 444–475, 2003, http://dx.doi.org/10.2136/vzj2003.4440. (Accessed on 11/07/2016)
 D. A. Robinson, C. S. Campbell, J. W. Hopmans, B. K. Hornbuckle, S. B. Jones, R. Knight et al., “Soil moisture measurement for ecological and hydrological watershed-scale observatories: a review,” Vadose Zone Journal, vol. 7, no. 1, pp. 358–389, 2008, http://dx.doi.org/10.2136/vzj2007.0143. (Accessed on 11/07/2016)
 K. Lauer, N. Wagner and P. Felix-Henningsen, “A new technique for measuring broadband dielectric spectra of undisturbed soil samples,” European Journal of Soil Science, vol. 63, no. 2, pp. 224-238, 2012, http://dx.doi.org/10.1111/j.1365-2389.2012.01431.x. (Accessed on 11/07/2016)
 J. Behari, “Microwave dielectric behaviour of wet soils,” Springer, New York, USA, 2005.
 N. Wagner, K. Emmerich, F. Bonitz and K. Kupfer, “Experimental investigations on the frequency and temperature-dependent dielectric material properties of soil,” IEEE T Geosci Remote, vol. 49, no. 7, pp. 2518-2530, 2011, http://dx.doi.org/10.1109/TGRS.2011.2108303. (Accessed on 11/07/2016)
 A. E. Howayek, P. T. Huang, R. Bisnett and M. C. Santagata, Identification and behavior of collapsible soils, Publication FHWA/IN/JTRP-2011/12, Joint Transportation Research Program, Indiana Department of Transportation and Purdue University, West Lafayette, Indiana, USA, 2011, http://dx.doi.org/10.5703/1288284314625. (Accessed on 11/07/2016)
 T. Ayadat and A. M. Hanna, “Assessment of soil collapse prediction methods,” IJE Transactions B: Applications, vol. 25, no. 1, pp. 19-26, 2012, http://dx.doi.org/10.5829/idosi.ije.2012.25.01b.03. (Accessed on 11/07/2016)
 M. Minkov, D. Evstatiev, Al. Alexiev and P. Donchev, “Deformation properties of Bulgarian loess soils,” in Proceedings of IX International Conference on Soil Mechanics and Foundation Engineering, Tokyo, Japan, 1977, pp. 215 - 218.
 J. H. Schoen, Physical properties of rocks: fundamentals and principles of Petrophysics. New York: Pergamon, 1996.
 D. A. Robinson and S. P. Friedman, “A method for measuring the solid particle permittivity or electrical conductivity of rocks, sediments, and granular materials,” Journal of Geophysical Research B: Solid Earth, vol. 108, no. 2, 2003.
 J. B. Hasted, Aqueous dielectrics. Chapman and Hall, London, England. 1973.
 G. C. Topp, J. L. Davis and A. P. Annan, “Electromagnetic determination of soil water content: measurements in coaxial transmission lines,” Water Resources Research, vol. 16, no. 3, pp. 574–582, 1980, http://dx.doi.org/10.1029/WR016i003p00574. (Accessed on 11/07/2016)
 J. C. Santamarina and M. Fam, “Changes in dielectric permittivity and shear wave velocity during concentration diffusion,” Canadian Geotechnical Journal, vol. 32, no. 4, pp. 647-659, 1995, http://dx.doi.org/10.1139/t95-065. (Accessed on 11/07/2016)
 K. Lichtenecker and K. Rother, “Die herleitung des logarithmischen mischungsgesetzesaus allgemeinen prinzipien der stationären strömung,” PhysikalischeZeitschrift, vol. 32, pp. 255–260, 1931.
 R. C. Schwartz, S. R. Evett, M. G. Pelletier and J. M. Bell, “Complex permittivity model for time domain reﬂectometry soil water content sensing: I. Theory,” Soil Science Society of America Journal, vol. 73, no. 3, pp. 886–897, 2009, http://dx.doi.org/10.2136/sssaj2008.0194. (Accessed on 11/07/2016)
 N. Wagner and A. Scheuermann, “On the relationship between matric potential and dielectric properties of organic free soils: a sensitivity study,” Canadian Geotechnical Journal, vol. 46, no. 10, pp. 1202–1215, 2009, http://dx.doi.org/10.1139/T09-055. (Accessed on 11/07/2016)
 M. C. Dobson, F. T. Ulaby, M. T. Hallikainen and M. A. El-Rayes, “Microwave dielectric behavior of wet soil - Part II: Dielectric mixing models,” IEEE T Geosci Remote, vol. GE-23, no. 1, pp. 35–46, 1985, http://dx.doi.org/10.1109/TGRS.1985.289498. (Accessed on 11/07/2016)
 V. Mironov, M. Dobson, V. Kaupp, S. Komarov and V. Kleshchenko, “Generalized refractive mixing dielectric model for moist soils,” IEEE T Geosci Remote, vol. 42, no. 4, pp. 773–785, 2004, http://dx.doi.org/10.1109/TGRS.2003.823288.(Accessed on 11/07/2016)
 M. Malicki, R. Plagge, M. Renger and R. Walczak, “Application of time domain reﬂectometry (TDR) soil moisture miniprobe for the determination of unsaturated soil water characteristics from undisturbed soil cores,” Irrigation Science, vol. 13, no. 2, pp. 65–72, 1992, http://dx.doi.org/10.1007/BF00193982. (Accessed on 11/07/2016)
 J. M. Blonquist, S. B. Jr. Jones, I. Lebron and D. A. Robinson, “Microstructural and phase configurational effects determining water content: Dielectric relationships of aggregated porous media,” Water Resources Research, vol. 42, no. 5, W05424, 2006, http://dx.doi.org/10.1029/2005WR004418. (Accessed on 11/07/2016)
 T. Zakri, J. P. Laurent and M. Vauclin, “Theoretical evidence for ‘lichtenecker’s mixture formulae’ based on the effective medium theory,” Journal of Physics D, vol. 31, no. 13, pp. 1589–1594, 1998, http://dx.doi.org/10.1088/0022-3727/31/13/013. (Accessed on 11/07/2016)
 J. Birchak, C. Gardner, J. Hipp and J. Victor, “High dielectric constant microwave probes for sensing soil moisture,” Proceedings of the IEEE, vol. 62, no. 1, pp. 93–98, 1974, http://dx.doi.org/10.1109/PROC.1974.9388. (Accessed on 11/07/2016)
 L. D. Landau and E. M. Lifshitz, Elektrodynamik der Kontinua. AkademieVerlag, Berlin, Germany, 1993.
 J. E. Campbell, “Dielectric properties and inﬂuence of conductivity in soils at one to ﬁfty megahertz,” Soil Science Society of America Journal, vol. 54, no. 2, pp. 332–341, 1990, http://dx.doi.org/10.2136/sssaj1990.03615995005400020006x. (Accessed on 11/07/2016)
 J. A. Huisman, S. S. Hubbard, J. D. Redman and A. P. Annan, “Measuring soil water content with ground penetrating radar,” Vadose Zone Journal, vol. 2, no. 4, pp. 476-491, 2003, http://dx.doi.org/10.2136/vzj2003.4760. (Accessed on 11/07/2016)
 U. Kaatze, “Hydrogen network ﬂuctuations and the microwave dielectric properties of liquid water,” Subsurface Sensing Technologies and Applications, vol. 1, no. 4, pp. 377–391, 2000, http://dx.doi.org/10.1023/A:1026559430935. (Accessed on 11/07/2016)
 W. Ellison, “Freshwater and seawater,” in thermal microwave radiation: Applications for remote sensing, (Mätzler C (ed.)), The Institution of Engineering and Technology, London, UK, 2006, pp. 431–455.
 J. Feda, “Structural stability of subsiding loess from Praha-Dejvice,” Engineering Geology, vol. 1, pp. 201-219, 1966.
 J. E. Jennings and K. Knight, “A guide to construction on or with materials exhibiting additional settlement due to collapse of grain structure,” in 6th Regional Conference for Africa on Soil Mechanics and Foundation Engineering, Durban, South Africa, September 1975, pp 99-105.
 N. Wagner, M. Schwing and A. Scheuermann, “Numerical 3D FEM and experimental analysis of the open-ended coaxial line technique for microwave dielectric spectroscopy on soil,” IEEE T Geosci Remote, vol. 52, no. 2, pp. 880–893, 2014, http://dx.doi.org/10.1109/TGRS.2013.2245138. (Accessed on 11/07/2016)
 ASTM, Annual book of ASTM standards. Volume 04.08 Soil and Rock (I): D420–D5876 and Volume 4.09 Soil and Rock (II): D5877—latest, American Society for Testing Materials, West Conshohocken, PA, USA, 2011.
 Z. M. Mansour, Z. Chik and M. R. Taha, “On the procedures of soil collapse potential evaluation,” Journal of Applied Sciences, vol. 8, no. 23, pp. 4434-4439, 2008, http://dx.doi.org/10.3923/jas.2008.4434.4439. (Accessed on 11/07/2016)
 ASTM D 5333-03, Standard test method for measurement of collapse potential of soils. Designation D 5333-03, American Society for Testing Materials, West Conshohocken, PA, USA, 2003.
 M. Schwing, A. Scheuermann and N. Wagner, “Experimental investigation of dielectric parameters of soils during shrinkage,” in Proceedings of the 1st European Conference on Moisture Measurement, Aquametry, K. Kupfer, Eds. MFPA Weimar, Weimar, Germany, 2010, pp. 511-519.
 M. A. Stuchly, S. S. Stuchly, “Coaxial line reflection methods for measuring dielectric properties of biological substances at radio and microwave frequencies-A review,” IEEE Trans Instrum Meas IM, vol. 29, no. 3, pp. 176-183, 1980.
 T. P. Marsland and S. Evans, “Dielectric measurements with an open-ended coaxial probe,” IEE Proc., vol. 134, no. 4, pp. 341-349, 1987.
 Y. -Z. Wei and S. Sridhar, “Radiation-corrected open-ended coax line technique for dielectric measurements of liquids up to 20 GHz,” IEEE Transactions on Microwave Theory and Techniques, vol. 39, no. 3, pp. 526-531, 1991.
 A. Kraszewski, M. A. Stuchly and S. S. Stuchly, “ANA Calibration method for measurements of dielectric properties,” IEEE Trans Instrum Meas IM, vol. 32, no. 2, pp. 385-387, 1983.
 M. Kent, R. Knöchel. SEQUID, A New Method for the Objective Measurement of the Quality of Seafood, Final Report, Christian-Albrechts-Universität, Kiel, Germany, 2004.
 O. Schimmer, R. Osen, K. Schönfeld and B. Hemmy, “Detection of added water in seafood using a dielectric time domain reflectometer,” in Proceedings of the 8th International Conference on Electromagnetic Wave Interaction with Water and Moist Substances, ISEMA, Espoo, Finland, 2009, pp. 350-357.
 Y. Chen and D. Or, “Effects of Maxwell-Wagner polarization on soil complex dielectric permittivity under variable temperature and electrical conductivity,” Water Resources Research, vol. 42, no. 6, W06424, 2006.
 M. A. Stuchly, M. M. Brady, S. S. Stuchly and G. Gajda, “Equivalent circuit of an open-ended coaxial line in a lossy dielectric,” IEEE Trans Instrum Meas IM, vol. 31, no. 2, pp. 116-119, 1982.
 D. V. Blackham and D. P. Pollard, “An improved technique for permittivity measurements using a coaxial probe,” IEEE Trans Instrum Meas IM, vol. 46, no. 5, pp. 1093-1099, 1997.
 N. Sheen and I. Woodhead, “An open-ended coaxial probe for broad-band permittivity measurement of agricultural products,” J. Agric. Eng. Res., vol. 74, no. 2, pp. 193-202, 1999.
 D. Popovic, L. McCartney, C. Beasley, M. Lazebnik, M. Okoniewski, S. Hagness and J. Booske, “Precision open-ended coaxial probes for in vivo and ex vivo dielectric spectroscopy of biological tissues at microwave frequencies,” IEEE Trans. Micro. Theory Tech., vol. 53, no. 5, pp. 1713-1721, 2005.
 G. Otto and W. Chew, “Improved calibration of a large open-ended coaxial probe for dielectric measurements,” IEEE Trans Instrum Meas, vol. 40, no. 4, pp. 742-746, 1991.
 J.-Z. Bao, C. C. Davis and M. L. Swicord, “Microwave dielectric measurements of erythrocyte suspensions,” BIOPHYS. J., vol. 66, no. 6, pp. 2173–2180, 1994.
 U. Kaatze, “Techniques for measuring the microwave dielectric properties of materials,” Metrologia, vol. 47, no. 2, pp. S91-S113, 2010.
 U. Kaatze, “Reference liquids for the calibration of dielectric sensors and measurement instruments,” Measurement Science and Technology, vol. 18, no. 4, pp. 967-976, 2007.
 A. P. Gregory and R. N. Clarke. Tables of the complex permittivity of dielectric reference liquids at frequencies up to 5 GHz, Report MAT 23, NPL, 2009.
 N. Wagner, B. Mueller, K. Kupfer, M. Schwing and A. Scheuermann, “Broadband electromagnetic characterization of two-port rod based transmission lines for dielectric spectroscopy of soil,” in Proceedings of the 1st European Conference on Moisture Measurement, Aquametry, K. Kupfer, Eds. MFPA Weimar, Weimar, Germany, 2010, pp. 228–237.
 A. Al-Rawas, “State-of-the-art review of collapsible soils,” Science and Technology, Sp. Review, pp. 115-135, 2000.
 K. Arulanandan, “Soil structure: In situ properties and behaviour,” Department of Civil and Environmental Engineering, University of California, Davis, CA, USA, 2003.