基于多孔介质理论的饱和土中球形空腔的稳态响应

Steady State Response of Spherical Cavity in Saturated Soil Based on Porous Medium Theory

将土体视为液固饱和2相多孔介质,利用多孔介质理论描述饱和土的宏观力学行为,运用势函数和贝塞尔函数的性质求解了饱和土体中球形空腔的稳态响应问题,得到了简谐动荷载作用下球形空腔的径向位移、径向应力和孔隙水压力的解,分析了饱和土液固耦合系数对球形空腔稳态响应的影响,并分析了径向位移、径向应力和孔隙水压力沿半径方向的消散规律.

The soil surrounding the spherical cavity is taken as solid and fluid saturated porous medium. The macro -mechanical properties of the saturated soil are described by the theory of porous medium. The steady state response of a spherical cavity is studied using potential functions and the properties of Bessel function. The radial displacement, radial stress and pore water pressure under harmonic dynamic load are then obtained. The effect of permeability coefficient and damping coefficient on the steady state response of spherical cavity in satu- rated soil is also analyzed. Finally, the attenuates of radial displacement, radial stress and pore water pressure a- long radial direction are discussed.