含地下孔洞层状半空间中瞬态波的传播

Transient Wave Propagation in Layered Half-space with Underground Holes

针对任意层数层状半空间的波动问题,采用相应介质域基本解在时域中建立了层状半空间的边界积分方程,系统地给出其离散求解的基本公式及数值化实施的计算技术.给出的边界元算法可以直接求解含孔洞任意层数层状半空间介质的波动问题而无需对各层交接面离散和设立自由度,从根本上克服了这类问题传统边界元法分区算法的弊端,大幅度减少了离散自由度,提高了求解效率.数值实例验证了上述方法的可行性及可靠性.

The transient wave propagation in the layered semi-space is studied with boundary element method. The boundary integral equation of transient wave problems for layered half-space is derived in time domain by using the corresponding fundamental solutions. In addition,an efficient numerical procedure to implement the boundary integral equation is also proposed. The present method is free from all difficulties associated with the discretization on all interfaces within the domain of multilayered medium, which must be faced by conventional boundary element methods. Two examples demonstrate the effectiveness of the present method.