考虑黏性效应的爆破震动区的理论分析

李志文 1,2,李建春 1,洪胜男 1,2,李海波 1,张国凯 1,2,3

振动与冲击 ›› 2018, Vol. 37 ›› Issue (17) : 107-114.

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (17) : 107-114.
论文

考虑黏性效应的爆破震动区的理论分析

  • 李志文 1,2,李建春 1,洪胜男 1,2,李海波 1,张国凯 1,2,3
作者信息 +

Theoretical analysis of blasting vibration zone considering viscous effect

  • LI Zhiwen 1,2, LI Jianchun 1, HONG Shengnan 1,2, LI Haibo 1, ZHANG Guokai 1,2,3
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文章历史 +

摘要

由于波阵面的几何扩散和介质的吸收作用,爆破地震波在传播过程中其幅值和频率会发生一系列的变化。为探究爆破地震波的产生和传播规律,将岩体考虑为粘弹性介质,并将爆破荷载等效地施加在震动区边界上,然后从频域求得该问题的积分解,最后对积分解进行数值计算和参数分析,结果表明:爆破荷载上升时间越短,震动区边界的振动幅值越大;爆破荷载总持续时间越长,震动区边界的振动持续时间越长,但振动幅值不受影响。在相同爆破荷载作用下,介质的弹性模量和粘性系数越小,震动区边界的振动幅值越大。爆破地震波的几何衰减分为近区衰减和远区衰减,近区衰减的速率明显大于远区衰减的速率。随着粘性系数与弹性模量的比值增大,介质对爆破地震波的吸收更明显。随爆破地震波传播距离增加其高频成分相对低频成分减少,粘性系数越大,减小的速度越快。

Abstract

Due to geometric diffusion of wave fronts and absorption of medium,amplitude and frequency of blasting seismic waves have a series of changes in their propagation process. In order to study generation and propagation laws of blasting seismic waves,rock mass was considered as a viscoelastic medium,blasting loads were equivalently exerted on the boundary of the vibration zone,the integral solution to the problem was obtained in frequency domain. The numerical calculation and parametric analysis were done for the integral solution. The results showed that the shorter the rise time of blasting loads,the larger the boundary vibration amplitude of the vibration zone; the longer the duration for blast loads lasting,the longer the duration for the boundary vibration lasting,but the vibration amplitude is not influenced; under the action of the same blasting loads,the smaller the medium’s elastic modulus and viscosity coefficient,the larger the boundary vibration amplitude; geometric decay of blasting seismic waves is divided into near-field attenuation and far-field attenuation,the decay rate of near field is obviously larger than that of far field; with increase in the ratio of viscous coefficient to elastic modulus,medium absorbs blasting seismic waves more obviously; with increase in the propagation distance of blasting seismic waves,their higher frequency components decrease  relative to their lower frequency components,the larger the viscosity coefficient,the faster the decrease speed. 

关键词

粘弹性介质 / 爆破振动 / 振动传播规律 / 振动幅值 / 爆破荷载

Key words

 viscoelastic medium / blasting vibration / vibration propagation law / vibration amplitude / blast loading

引用本文

导出引用
李志文 1,2,李建春 1,洪胜男 1,2,李海波 1,张国凯 1,2,3. 考虑黏性效应的爆破震动区的理论分析[J]. 振动与冲击, 2018, 37(17): 107-114
LI Zhiwen 1,2, LI Jianchun 1, HONG Shengnan 1,2, LI Haibo 1, ZHANG Guokai 1,2,3. Theoretical analysis of blasting vibration zone considering viscous effect[J]. Journal of Vibration and Shock, 2018, 37(17): 107-114

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