Sciences in Cold and Arid Regions ›› 2018, Vol. 10 ›› Issue (2): 95-103.doi: 10.3724/SP.J.1226.2018.00095

• Articles •    

Wave propagation characteristics in frozen saturated soil

ChengCheng Du1,2, DongQing Li1, Feng Ming1, YuHang Liu1,2, XiangYang Shi1,2   

  1. 1. State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China;
    2. University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2017-10-30 Revised:2018-01-10 Published:2018-11-22
  • Contact: DongQing Li,
  • Supported by:
    This work is supported by the National Natural Science Foundation of China (No. 41271080 and No. 41701060) and the funding of the State Key Laboratory of Frozen Soil Engineering (No. SKLFSE-ZT-17).

Abstract: Ultrasonic detection technology is of great significance in the detection and evaluation of physical and mechanical properties of frozen soil, but wave propagation characteristics in frozen soil are unclear. Based on the three-phase composition of frozen saturated soil and the mixture theory, considering Bishop's effective stress formula, the wave propagation equations are establish for frozen saturated soil. In wave propagation, an entropy inequality was introduced to describe the coupling of different phases. The analytic expressions of propagation velocity and attenuation law of waves in frozen soil are obtained, and wave propagation characteristics in frozen saturated soil are discussed. Results show that four types of waves (i.e., P1, P2, P3 and S) are found in frozen saturated soil and all four wave types are dissipative waves, in which the attenuation of P3 is the maximum. The velocity of four waves increases sharply at the excitation frequency range of 103-109 Hz, but the wave velocity at high-frequency and low-frequency is almost constant. When volume ice content increases, the wave propagation velocity of P1 and S decreases dramatically, and the velocity of P2 increases gradually, but P3 velocity increases first and then decreases to zero with increasing saturation. The attenuation coefficients of P1 and S waves begins to increase gradually when the volume ice content is about 0.4, P2 increases first and then decreases with an increase of volume ice content and P3 increases with the volume ice content and decreases rapidly from extreme to zero.

Key words: frozen saturated soils, excitation frequency, saturation, wave equations, propagation characteristics

Albers B, 2006. On results of the surface wave analyses in poroelastic media by means of the Simple Mixture Model and the Biot model. Soil Dynamics and Earthquake Engineering, 26(6-7): 537-547, DOI:10.1016/j.soildyn.2006.01.007.
Albers B, 2009. Analysis of the propagation of sound waves in partially saturated soils by means of a macroscopic linear poroelastic model. Transport in Porous Media, 80(1): 173-192, DOI:10.1007/s11242-009-9360-y.
Chen WY, Xia TD, Chen W, et al., 2012. Propagation of plane P-waves at the interface between an elastic solid and an unsaturated poroelastic medium. Applied Mathematics and Mechanics, 33(7): 781-795, DOI:10.3879/j.issn.1000-0887.2012.07.001.
Hanyga A, 2004. Two-fluid porous flow in a single temperature approximation. International Journal of Engineering Science, 42(13-14): 1521-1545, DOI:10.1016/j.ijengsci.2004.04.001.
He PF, Xia TD, Liu ZJ, et al., 2016. Reflection of P1 wave from free surfaces of double-porosity media. Rock and Soil Mechanics, 37(6): 1753-1761, DOI:10.16285/j.rsm.2016.06.028.
Lai YM, Zhang LX, Xu WZ, et al., 2003. Temperature features of broken rock mass embankment in the Qinghai-Tibetan railway. Journal of Glaciology and Geocryology, 25(3): 291-296, DOI:10.3969/j.issn.1000-0240.2003.03.009.
Li DQ, Wu ZW, Fang JH, et al., 1998. Heat stability analysis of embankment on the degrading permafrost district in the East of the Tibetan Plateau, China. Cold Regions Science and Technology, 28(3): 183-188, DOI:10.1016/S0165-232X(98)00018-4.
Li XW, Li XY, 1989. Wave propagation with mass-coupling effect in fluid-saturated porous media. Applied Mathematics and Mechanics, 10(4): 321-327, DOI:10.1007/BF02017772.
Liu B, Su Q, Zhao WH, et al., 2017. Reflection and transmission of P waves at interfaces of saturated sandwiched coarse granular structure. Journal of Southwest Jiaotong University, 52(2): 280-287, DOI:10.3969/j.issn.0258-2724.2017.02.010.
Liu ZJ, Xia TD, Zhang QF, et al., 2014. Parametric studies of propagation characteristics of bulk waves in two-phase porous media. Rock and Soil Mechanics, 35(12): 3443-3450, DOI:10.16285/j.rsm.2014.12.001.
Lu HL, 2001. Continuum theory of mixture for freezing and thawing of water-saturated porous media. Journal of Southwest Jiaotong University, 36(6): 599-603, DOI:10.3969/j.issn.0258-2724.2001.06.011.
Lu JF, Hanyga A, 2005. Linear dynamic model for porous media saturated by two immiscible fluids. International Journal of Solids and Structures, 42(9-10): 2689-2709, DOI:10.1016/j.ijsolstr.2004.09.032.
Miao TD, Zhu JJ, Ding BY, 1995. Essay on constitutive relation of wave propagation in saturated porous media. Chinese Journal of Theoretical and Applied Mechanics, 27(5): 536-543, DOI:10.6052/0459-1879-1995-5-1995-464.
Ming F, Zhang Y, Li DQ, 2016. Experimental and theoretical investigations into the formation of ice lenses in deformable porous media. Geosciences Journal, 20(5): 667-679, DOI:10.1007/s12303-016-0005-1.
Van Genuchten, 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal, 44(44): 892-898.
Vardoulakis I, Beskos DE, 1986. Dynamic behavior of nearly saturated porous media. Mechanics of Materials, 5(1): 87-108, DOI:10.1016/0167-6636(86)90017-7.
Wei CF, Muraleetharan KK, 2006. Acoustical characterization of fluid-saturated porous media with local heterogeneities: theory and application. International Journal of Solids and Structures, 43(5): 982-1008, DOI:10.1016/j.ijsolstr.2005.06.008.
Xu XT, Lai YM, Liu F, et al., 2011. A study of mechanical test methods of frozen soil. Journal of Glaciology and Geocryology, 33(5): 1132-1138.
Yang SY, Yu MH, 2000. Constitutive descriptions of multiphase porous media. Acta Mechanica Sinica, 32(1): 11-24, DOI:10.3321/j.issn:0459-1879.2000.01.002.
Zhou FX, Lai YM, 2011. Propagation characteristics of elastic wave in saturated frozen soil. Rock and Soil Mechanics, 32(9): 2669-2674, DOI:10.3969/j.issn.1000-7598.2011.09.018.
Zhou XM, Sun MY, Xia TD, et al., 2008. Effect of the fluid on propagation characteristics of compressible waves in saturated soils. Journal of Harbin Institute of Technology, 40(6): 974-977, DOI:10.3321/j.issn:0367-6234.2008.06.031.
No related articles found!
Full text



No Suggested Reading articles found!