Seismic Ground Motion Analysis of Saturated Frozen Soil Free Field under S-Wave Incidence

An analytical solution has been derived for seismic ground motion in a saturated frozen soil free field under plane S-wave incidence. This solution was achieved by establishing a model based on the theory of elastic wave propagation in single-phase elastic media and frozen saturated porous media. Numerical calculations were conducted to analyze the seismic ground motion and assess the influence of various physical and mechanical parameters, including incident angle, incident frequency, porosity, medium temperature, cementation parameters, and contact parameters. The analysis revealed a positive correlation between horizontal ground surface displacement and increases in incident frequency, medium temperature, Poisson’s ratio, and contact parameter. Conversely, there was a slight decrease with increased porosity. Particularly significant were the effects of incident frequency and medium temperature on horizontal ground surface displacement. Vertical displacement decreased with increases in porosity, medium temperature, Poisson’s ratio, and contact parameter. The impact of incident frequency on vertical displacement was insignificant, but noticeable variations occurred when the angle of incidence approached the critical angle.

Vertical displacement decreased with increases in porosity, medium temperature, Poisson’s ratio, and contact parameter.