Dynamic response characteristic of saturated frozen soil free field under S1-wave incidence with thermal effects
XU Jingru1, LI Liang1, JIAO Hongyun2, DU Xiuli1#br#
(1. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China; 2. Institute of Geophysics, China Earthquake Administration, Beijing 100081, China)
Abstract： To investigate the dynamic response characteristics of the free field in saturated frozen soil under the incidence of S1-waves with thermal effects, a porous thermo-elastic model for saturated frozen soil was proposed based on kinematic equations, constitutive equations, and generalized heat conduction equations. The analytical expressions for the dynamic responses of the free surface in saturated frozen soil under S1-wave incidence were derived using the Helmholtz decomposition method and the boundary conditions at the interface. Numerical calculations were conducted to examine the effects of phase lag of the heat flux, thermal conductivity, incident frequency, temperature, and contact parameters on reflector thermoelastic waves and the seismic response of the free field. The results indicate that the consideration of thermal effects significantly influences the magnitude of reflected waves and the outcomes of the free-field seismic response. When thermal efficiency is taken into account, the phase lag of the heat flux has a relatively minor effect on the reflectivity of reflected waves and the free-field seismic response. However, thermal conductivity has a significant impact on the reflectivity of reflected thermal waves, with both factors exhibiting a positive correlation. Additionally, temperature and contact coefficient parameters demonstrate complex interdependencies affecting wave reflection and the free-field seismic response. The incident frequency notably affects the reflected P2, P3, and S2 waves, showing a positive correlation.
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