Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (9): 1349-1362.doi: https://doi.org/10.1007/s10483-021-2768-5

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Research on coupled thermo-hydro-mechanical dynamic response characteristics of saturated porous deep-sea sediments under vibration of mining vehicle

Wei ZHU1, Xinyu SHI2, Rong HUANG3, Liyue HUANG4, Wenbo MA4   

  1. 1. Post-doctoral Research Station of Statistics, School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Province, China;
    2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Province, China;
    3. School of Mathematic and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan Province, China;
    4. College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, Hunan Province, China
  • Received:2021-05-18 Revised:2021-07-09 Published:2021-09-07
  • Contact: Wenbo MA, E-mail:mawenbo@xtu.edu.cn
  • Supported by:
    the National Natural Science Foundation of China (No. 12072309), the Youth Fund Foundation of Education Bureau of Hunan Province of China (No. 19B546), and the High-Level Talent Gathering Project in Hunan Province of China (No. 2019RS1059)

Abstract: The excessive deformation of deep-sea sediments caused by the vibration of the mining machine will adversely affect the efficiency and safety of mining. Combined with the deep-sea environment, the coupled thermo-hydro-mechanical problem for saturated porous deep-sea sediments subject to the vibration of the mining vehicle is investigated. Based on the Green-Lindsay (G-L) generalized thermoelastic theory and Darcy's law, the model of thermo-hydro-mechanical dynamic responses for saturated porous deep-sea sediments under the vibration of the mining vehicle is established. We obtain the analytical solutions of non-dimensional vertical displacement, excess pore water pressure, vertical stress, temperature, and change in the volume fraction field with the normal mode analysis method, and depict them graphically. The normal mode analysis method uses the canonical coordinate transformation to solve the equation, which can quickly decouple the equation by ignoring the modal coupling effect on the basis of the canonical mode. The results indicate that the vibration frequency has obvious influence on the vertical displacement, excess pore water pressure, vertical stress, and change in volume fraction field. The loading amplitude has a great effect on the physical quantities in the foundation, and the changes of the physical quantities increase with the increase in loading amplitude.

Key words: deep-sea sediment, thermo-hydro-mechanical dynamic, generalized thermoelastic theory, normal mode analysis, dynamic response characteristic

2010 MSC Number: 

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