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爆破地震信号的分形盒维数值分析
A study on the fractal dimension of blasting seismic waves
【摘要】 在岩石场地进行了单段深孔爆破试验,获得了具有该场地特征的爆破地震波传播规律。从理论上推导了爆破地震波振动强度衰减系数K和α与分形盒维数D以及盒维数计算中-lg(kδ) lgNkδ的双对数拟合直线方程参数b的关系。采用了适用于爆破地震波曲线双尺度特征的矩形盒模型计算了爆破地震波的盒维数D。数据分析表明:在同一场地条件下,爆破地震波的盒维数比较稳定,且爆破地震波振动强度的场地衰减指数α与D为两倍的关系;药量和距离对盒维数拟合直线方程参数b的影响明显,且其关系与场地衰减指数α对爆破地震波峰值强度的作用相近。通过数据分析,获得了参数b与爆破地震波振动峰值A的关系式:b=0.689×lgA+3.0669,其相关系数为0.93。
【Abstract】 Blasting experiments in deep-holes have been carried out on a rock site,and the resulting blasting seismic waves were measured. The relationship among the blasting seismic wave attenuation parameters K, α, the fractal box dimension D and the fitting parameter b in the formula -lg(kδ)-lgNkδ for the box dimension computation.The box dimension of measured seismic wave signals were calculated with the double-scaled rectangle box model method. The results in this paper show that the blasting seismic wave box dimensions value D distributes in a small range.It is concluded that the box dimension D is a characteristic parameter related to the test field conditions, and approximately α≈2D. The effects of explosive charge and the measurement distance on the parameter b are obvious. The fitting relationship between parameter b and the amplitude of blasting seismic wave A is b=0.689×lgA+3.669.
【Key words】 mechanics of explosion; box dimension; fractal; blasting seismic wave; frequency spectrum; duration of effective vibration;
- 【文献出处】 爆炸与冲击 ,Explosion and Shock Waves , 编辑部邮箱 ,2004年04期
- 【分类号】TB41
- 【被引频次】19
- 【下载频次】241