将整个地下爆炸破坏区看成爆炸地震波的震动源,根据爆炸等效荷载理论和爆炸近区破坏理论,得到用速度表达的空腔边界荷载。提出地下爆炸震源的简化计算模型,将地下爆炸的地表响应转化为弹性半空间内球面膨胀波的传播和反射问题。运用不完全分离变量法的理论计算爆炸地震波在半空间内传播,得到地表质点响应的运动场。以数值计算为基础,定量分析地下爆炸的地表运动,得到地表最大质点速度的指数衰减规律。与国内外试验得到的经验公式进行对比,验证该计算方法的正确性。
The whole underground explosive destruction area is regarded as a seismic source of blast seismic wave.Based on the theory of explosive equivalent load and the destruction theory of area near explosion,the boundary loads on cavity are denoted by velocity of particle.A simplified calculation model of seismic source of underground explosion is presented.The ground response to underground explosion is transformed into the problem about propagation and reflection of spherical dilatation wave in elastic half-space.The propagation of explosive seismic wave in half-space is calculated by applying incomplete separation variable method,so the movement fields of response of ground particles are received.Based on numerical calculation,ground movement of underground explosions are analyzed quantatively showing that the maximum velocity of ground particles is subjected to exponential decay laws.Compared with empirical formulae from experiments at home and abroad,the calculation method is proved to be correct.