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本文首先讨论了压力空腔和爆炸中心的等价问题。计算层状介质中的空腔爆炸所产生的位移场时,可先求介质的单位脉冲响应,然后将其与等价的爆炸点源函数做褶积。对于均匀的半空间,自由面位移的暂态解是由三个无量纲的参数所决定的;由此可导出远场位移的精确解。本文也讨论了爆炸点附近的运动。最后还导出多层介质中空腔爆炸所产生的表面位移谱的形式解。
This paper first discusses the equivalence of pressure cavity and explosion center. When calculating the displacement field due to cavity explosion in layered media, the unit impulse response of the medium can be found first and then convolution with the equivalent explosion point source function. For a uniform half-space, the transient solution of the free-surface displacement is determined by three dimensionless parameters; thus an exact solution of the far-field displacement can be derived. This article also discusses the movement near the explosion point. Finally, the formal solution of the surface displacement spectrum generated by the cavity explosion in multi-layer media is also derived.