爆炸地震波在半无限介质自由表面运动规律

Explosion seismic waves in a semi infinite medium motion law of free surface

为更好的研究在浅埋地下爆炸作用下岩土体中出现的波动过程,将爆炸力学、弹性力学和高等数学的基本理论知识进行有效结合,建立了浅埋爆炸作用下,地震波在半无限介质自由表面运动的计算模型,并用Matlab编程计算爆炸地震波的水平和垂直位移.结果表明:震源同一埋深时,随着地震波传播距离的增加,水平方向和垂直方向的位移均减小,但垂直方向位移比水平方向位移衰减的快;震源在不同埋深时,爆破震源埋深的增加,水平方向的位移和垂直方向的位移也均减小.Matlab编程计算结果是正确的符合实际爆破工程中地震波在岩体介质中的传播规律.

In order to better research the fluctuations appearing in rock and soil in the shallow underground explosion,this paper effectively combined the explode mechanics,elasticity and basic theoretical knowledge of advanced mathematics,established the calculation model for seismic waves movement in semi-infinite medium free surface under shallow explosion,and calculated the displacement in horizontal and vertical direction of explosion seismic waves using Matlab program.The results show that when the focal depth is the same,with the increase of seismic wave propagation distance,the displacement in both the vertical direction and the horizontal direction is reduced,but the displacement of vertical direction is decayed faster than that in the horizontal direction;when the focal depths are different,with the increases of the blasting focal depth,the displacement in both vertical and horizontal direction is also reduced.The calculated results by Matlab programming are consistent with the propagation of seismic waves in rock medium in the actual blasting projects.