弹性半空间球形药包爆破引起的地表振动波形预测

Prediction of Vibration Waveform on Ground Caused by Elastic Semispace Spherical Charge Blasting

对球形爆源在弹性半空间内爆破引起地表质点的振动波形预测进行研究.利用等效孔穴理论,将球形药包的爆破简化为球腔压力源的作用,推导出球腔压力源p(t)作用下的等效震源强度函数;然后对Hoop点源理论的位移解进行修改,得到在球腔压力源p(t)的作用下地表质点的振动位移和速度函数;最后画出地表质点振动速度函数波形,并对波形进行拟合.根据萨道夫斯基公式和等效爆源强度函数,构造一个与装药量直接相关且更为简洁的质点振动速度函数.结果表明:构造函数与理论解得到的波形非常吻合,且验证了构造函数的适用性,实现爆破振动波形预测.

The prediction of vibration waveform of surface particles caused by spherical blasting source blasting is studied in elastic half space.The equivalent cavity theory is used to simplify the blasting of spherical charge to the action of spherical cavity pressure source,and the equivalent source intensity function under the action of spherical cavity pressure source p(t)is deduced.The displacement solution of Hoop point source theory is modified to obtain the vibration displacement and velocity function of surface particles under the action of spherical cavity pressure source p(t).The waveform of surface particle vibration velocity function is drawn and fitted.According to the sadovsky formula and the equivalent explosive source strength function,a more concise particle vibration velocity function directly related to the explosive charge is constructed.The results are consistent well with the waveform obtained by theoretical solution.The applicability of concise function is verified,the prediction of blasting vibration waveform is realized.