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Measuring and modeling the dielectric constant of soil during freezing and thawing processes: an application on silty clay

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Abstract

Accurately measuring the dielectric constant of soil and modeling it during freezing and thawing processes are important foundations of estimating the physical and chemical properties and moisture transfer characteristics of soil. In this study, a new test method was developed by combining five temperature probes and a 5TM sensor. Based on this method, a series of experiments for measuring the dielectric constant were conducted using silty clay as an example. The effects of freezing and thawing processes, water content, and salt on the dielectric constant of soil were comprehensively compared and analyzed. The results showed that the trends of soil dielectric constant as a function of temperature can be divided into a linear stage and a nonlinear stage. The soil dielectric constant measured during the freezing process was larger than that measured during the thawing process at the same negative temperature. However, the differences between them were related to the water content of the soil sample in the positive temperature range. In addition, the soil dielectric constant increased with the increase in water, NaCl, and K2SO4 contents, which was particularly major in the positive temperature range. Finally, a new empirical model was proposed to calculate the dielectric constant of soil. The verification results demonstrated that the calculated dielectric constants agreed well with the measured results. This work can provide references for the measurement and prediction of soil dielectric constant.

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References

  1. Anbazhagan P, Bittelli M, Pallepati RR, Mahajan P (2020) Comparison of soil water content estimation equations using ground penetrating radar. J Hydrol 588:125039

    Google Scholar 

  2. Arsoy S, Ozgur M, Keskin E, Yilmaz C (2013) Enhancing TDR based water content measurements by ANN in sandy soils. Geoderma 195–196:133–144

    Google Scholar 

  3. Bai RQ, Lai YM, Zhang MY, Yu F (2018) Theory and application of a novel soil freezing characteristic curve. Appl Therm Eng 129:1106–1114

    Google Scholar 

  4. Birchak JR, Gardner CG, Hipp JE, Victor JM (1974) High dielectric constant microwave probes for sensing soil moisture. Proc IEEE 62(1):93–98

    Google Scholar 

  5. Bittelli M, Salvatorelli F, Pisa PR (2008) Correction of TDR-based soil water content measurements in conductive soils. Geoderma 143:133–142

    Google Scholar 

  6. Brown WF (1956) Dielectrics. In: Encyclopedia of physics, vol 17. Springer, Berlin

  7. Chai MT, Zhang JM, Zhang H, Mu YH, Sun GC, Yin ZH (2018) A method for calculating unfrozen water content of silty clay with consideration of freezing point. Appl Clay Sci 161:474–481

    Google Scholar 

  8. Curtis HL, Defandorf FM (1929) Dielectric constant and dielectric strength of elementary substances, pure inorganic compounds, and air. Int Crit Tables of Numer Data Phys Chem Technol 6:73–107

    Google Scholar 

  9. de Loor GP (1968) Dielectric properties of heterogeneous mixtures containing water. J Microw Power 3(2):67–73

    Google Scholar 

  10. Dean JA (1991) Lange’s handbook of chemistry, Thirteenth. Science Press, Beijing (In Chinese)

    Google Scholar 

  11. Decagon Devices, Inc. (2016) 5TM water content and temperature sensors. Decagon Devices, Inc., March 11

  12. Dong LL, Wang WZ, Wu YR (2020) Dielectric properties of saline soil and an improved dielectric model. Remote Sens Technol Appl 35(4):786–796 (In Chinese)

    Google Scholar 

  13. Friedman SP (1998) A saturation degree-dependent composite spheres model for describing the effective dielectric constant of unsaturated porous media. Water Resour Res 34(11):2949–2961

    Google Scholar 

  14. Fu Z, Liu QF, Tian WM, Hou LH (2008) Composition and characteristics of clay minerals from the Hingganling Group in the Beier depression of the Hailar basin. Acta Geoscientica Sin 29(2):174–178 (In Chinese)

    Google Scholar 

  15. Fu YW, Lu YL, Heitman J, Ren TS (2020) Root-induced changes in soil thermal and dielectric properties should not be ignored. Geoderma 370:114352

    Google Scholar 

  16. Guo Y, Xu S, Shan W (2018) Development of a frozen soil dielectric constant model and determination of dielectric constant variation during the soil freezing process. Cold Reg Sci Technol 151:28–33

    Google Scholar 

  17. Huang JW, Zhou ZH (2021) Comparative analysis of static strength characteristics of two kinds of silty clay. Prog Earthq Sci 51(6):252–257 (In Chinese)

    Google Scholar 

  18. Jacobsen OH, Schjønning P (1993) A laboratory calibration of time domain reflectometry for soil water measurement including effects of bulk density and texture. J Hydrol 151:147–157

    Google Scholar 

  19. Jin X, Yang W, Zhao JQ (2018) Study on the permittivity mixing model of freezing soil. J Glaciol Geocryol 40(3):570–579 ((In Chinese))

    Google Scholar 

  20. Lanzhou Institute of Glaciology and Cryopedology, Chinese Academy of Sciences (1989) Interaction among temperature, moisture and stress fields in frozen soil. Lanzhou University Press, Lanzhou. (In Chinese)

  21. Lei L, Tashpolat T, Ding JL, Jiang HN, Yao Y, Sun YM, Xia J, Ardak K (2013) Constant characteristic and model verification of saline soil dielectric in arid area. Trans Chin Soc Agric Eng 29(16):125–133 (In Chinese)

    Google Scholar 

  22. Li LY, Zhang LX, Zhao SJ (2007) Laboratory measurement of the dielectric constant of frozen soil. J Beijing Normal Univ (Nat Sci) 43(3):241–244 (In Chinese)

    Google Scholar 

  23. Li X, Cheng GD, Jin HJ, Kang E, Che T, Jin R, Wu LZ, Nan ZT, Wang J, Shen YP (2008) Cryospheric change in China. Glob Planet Chang 62:210–218

    Google Scholar 

  24. Li QL, Ling XZ, Hu JJ, Xu XT (2018) Experimental investigation on dilatancy behavior of frozen silty clay subjected to long-term cyclic loading. Cold Reg Sci Technol 153:156–163

    Google Scholar 

  25. Li GS, Zhao YQ, Zhang WD, Xu XT (2021) Influence of snow cover on temperature field of frozen ground. Cold Reg Sci Technol 192:103402

    Google Scholar 

  26. Liang ZG, Chen YM, Chen Y (2006) Measurement of water content of unsaturated soil by TDR technique. Chin J Geotech Eng 28(2):191–195 (In Chinese)

    MathSciNet  Google Scholar 

  27. Liao HJ, Sun JY, Zan YW, Zhu QN, Gu F (2016) Dielectric constant model for soil and its application in engineering. Chin J Geotech Eng 38(S2):36–41 (In Chinese)

    Google Scholar 

  28. Liu JM, Shen Y, Zhao SP (2011) High-precision thermistor temperature sensor: technological improvement and application. J Glaciol Geocryol 33(4):765–771 (In Chinese)

    Google Scholar 

  29. Liu J, Liu QH (2020) Soil moisture estimate uncertainties from the effect of soil texture on dielectric semiempirical models. Remote Sens 12:2343

    Google Scholar 

  30. Liu JP, Yang P, Yang ZH (2020) Electrical properties of frozen saline clay and their relationship with unfrozen water content. Cold Reg Sci Technol 178:103127

    Google Scholar 

  31. Looyenga H (1965) Dielectric constants of heterogeneous mixtures. Physica 31:401–406

    Google Scholar 

  32. Lu JG, Zhang MY, Zhang XY, Yan ZR (2017) Experimental study on the unfrozen water content and the freezing temperature during freezing and thawing processes. Chin J Rock Mech Eng 36(7):1803–1812 (In Chinese)

    Google Scholar 

  33. Lu JG, Pei WS, Zhang XY, Bi J, Zhao T (2019) Evaluation of calculation models for the unfrozen water content of freezing soils. J Hydrol 575:976–985

    Google Scholar 

  34. Lü HB, Jiang WY, Zhao YL, Zeng ZT (2016) Relationship between volumetric water content and effective dielectric permittivity of Nanning expansive soil. Rock Soil Mech 37(8):2145–2150 (In Chinese)

    Google Scholar 

  35. Malicki MA, Plagge P, Roth CH (1996) Improving the calibration of dielectric TDR soil moisture determination taking into account the solid soil. Eur J Soil Sci 47:357–366

    Google Scholar 

  36. Mironov VL, Karavayskiy AY, Lukin YI, Molostov IP (2020) A dielectric model of thawed and frozen Arctic soils considering frequency, temperature, texture and dry density. Int J Remote Sens 41(10):3845–3865

    Google Scholar 

  37. Orangi A, Narsilio GA, Wang YH, Ryu D (2019) Experimental investigation of dry density effects on dielectric properties of soil-water mixtures with different specific surface areas. Acta Geotech. https://doi.org/10.1007/s11440-019-00805-x

    Article  Google Scholar 

  38. Patterson DE, Smith MW (1980) The use of time domain reflectometry for the measurement of unfrozen water content in frozen soils. Cold Reg Sci Technol 3:205–210

    Google Scholar 

  39. Qi JL, Ma W (2010) State-of-art of research on mechanical properties of frozen soils. Rock Soil Mech 31(1):133–143 (In Chinese)

    Google Scholar 

  40. Qian JG, Yuan JY, Zhao CF, Liang FY, Liu F (2015) Soil properties and soil mechanics, 5th edn. China Communications Press, Beijing (In Chinese)

    Google Scholar 

  41. Qu XB, Wu H (2014) Analysis of 53-year climate change characteristics of Hulun Buir city. Res Soil Water Conserv 21(1):178–182 (In Chinese)

    Google Scholar 

  42. Roth K, Schulin R, Flühler H, Attinger W (1990) Calibration of time domain reflectometry for water content measurement using a composite dielectric approach. Water Resour Res 26(10):2267–2273

    Google Scholar 

  43. Roth CH, Malicki MA, 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 43:1–13

    Google Scholar 

  44. Topp GC, Davis JL, Annan AP (1980) Electromagnetic determination of soil water content: measurements in coaxial transmission lines. Water Resour Res 16(3):574–582

    Google Scholar 

  45. Topp GC, Zegelin S, White I (2000) Impacts of the real and imaginary components of relative permittivity on time domain reflectometry measurements in soils. Soil Sci Soc Am J 64:1244–1252

    Google Scholar 

  46. Wan XS, Lai YM, Wang C (2015) Experimental study on the freezing temperatures of saline silty soils. Permafr Periglac 26:175–187

    Google Scholar 

  47. Wang JR, Schmugge TJ (1980) An empirical model for the complex dielectric permittivity of soils as a function of water content. IEEE Trans Geosci Remote Sens 18(4):288–295

    Google Scholar 

  48. Wang CY, Wang RY (1996) The charge of salinized soil and some countermeasures by ecology control in the western plain area of the northeastern China. Chin J Ecol 15(2):44–48 (In Chinese)

    Google Scholar 

  49. Wang CY, Wang RY, Li JD (1999) The ecological zoning of saline soil in the area of the northeastern China. Chin J Soil Sci 30(5):193–196 (In Chinese)

    MathSciNet  Google Scholar 

  50. Watanabe K, Wake T (2009) Measurement of unfrozen water content and relative permittivity of frozen unsaturated soil using NMR and TDR. Cold Reg Sci Technol 59:34–41

    Google Scholar 

  51. Wen Z, Ma W, Feng WJ, Deng YS, Wang DY, Fan ZS, Zhou CL (2012) Experimental study on unfrozen water content and soil matric potential of Qinghai-Tibetan silty clay. Environ Earth Sci 66:1467–1476

    Google Scholar 

  52. Xu XZ, Wang JC, Zhang LX (2001) Frozen soil physics. Science Press, Beijing (In Chinese)

    Google Scholar 

  53. Xu MX, Cao Y, Jiang XL, Ji XH, Zhang WD, Wang YT (2019) Experimental study on unidirectional thawing settlement characteristic of Genhe silty clay. J Inner Mongolia Univ (Nat Sci Ed) 50(6):679–685 (In Chinese)

    Google Scholar 

  54. Xu XT, Zhang WD, Fan CX, Li GS (2020) Effects of temperature, dry density and water content on the thermal conductivity of Genhe silty clay. Results Phy 16:102830

    Google Scholar 

  55. Yoshikawa K, Overduin PP (2005) Comparing unfrozen water content measurements of frozen soil using recently developed commercial sensors. Cold Reg Sci Technol 42:250–256

    Google Scholar 

  56. Yu C, Warrick AW, Conklin MH (1999) Derived functions of time domain reflectometry for soil moisture measurement. Water Resour Res 35(6):1789–1796

    Google Scholar 

  57. Zhang P (2013) Analysis to effects of main factors on dielectric properties of soils. Northwest A & F University, Yangling (In Chinese)

    Google Scholar 

  58. Zhang LL, Meng QY, Hu D, Zhang Y, Yao S, Chen X (2020) Comparison of different soil dielectric models for microwave soil moisture retrievals. Int J Remote Sens 41(8):3054–3069

    Google Scholar 

  59. Zhang WD, Bai RQ, Xu XT, Liu W (2021) An evaluation of soil thermal conductivity models based on the porosity and degree of saturation and a proposal of a new improved model. Int Commun Heat Mass Transf 129:105738

    Google Scholar 

  60. Zhao GZ, Qiao CP, Yan YS, Feng FS, Wang L, Zhang SB, Chen YY (2016) Study on model of relations between water content and dielectric constant: experimental study. Hydrogeol Eng Geol 43(3):7–10 (In Chinese)

    Google Scholar 

  61. Zhu AN, Ji LQ, Zhang JB, Xin XL, Liu JL, Liu HB (2011) Empirical relationship between soil dielectric constant and volumetric water content in various soils. Acta Pedologica Sin 48(2):263–268 (In Chinese)

    Google Scholar 

  62. Zhu F, Li JY, Dong WZ, Zhang S (2021) Geotechnical properties and microstructure of lignin-treated silty clay in seasonally frozen regions. Bull Eng Geol Env 80:5645–5656

    Google Scholar 

  63. Zhou JZ (2015) Water and heat transfer and frost heave characteristics in freezing soils. Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan. (In Chinese)

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (No. 51879131, No. 41901070, No. 41771070) and the Science and Technology Major Project of Inner Mongolia Autonomous Region (No. 2020ZD0020).

Funding

National Natural Science Foundation of China, 51879131,  41901070, 41771070; the Science and Technology Major Project of Inner Mongolia Autonomous Region, 2020ZD0020.

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Correspondence to Yongtao Wang.

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Xu, X., Zhang, W. & Wang, Y. Measuring and modeling the dielectric constant of soil during freezing and thawing processes: an application on silty clay. Acta Geotech. 17, 3867–3886 (2022). https://doi.org/10.1007/s11440-022-01487-8

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