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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,dqli@lzb.ac.cn E-mail:dqli@lzb.ac.cn
  • 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).

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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

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