半空间饱和土中输水管道对瑞利波的散射

Scattering of Underground Water-filled Pipe in Half Saturated Space Impacted by Rayleigh Waves

根据Biot波动理论和弹性波传播理论,采用复变函数理论,研究了饱和半空间中输水管道对入射瑞利波作用的散射问题,得出了饱和土中输水管道在不同条件下管道周边的动应力集中系数分布和变化情况。研究结果表明:管道埋深对其散射效应影响明显,随着管道埋深的增加,输水管道周边动应力集中系数显著减小,其影响深度大约为1.5倍瑞利波波长;随着入射瑞利波频率增加,输水管道周边动应力集中系数最大值逐渐减小,同时,输水管道周边动应力集中系数与无水管道周边动应力集中系数存在一定差异,并且这种差异随着入射瑞利波频率增加而变得明显;输水管道的刚度和厚度对入射瑞利波的散射有一定影响,增加管道的厚度、减小管道的刚度有利于减少管道周边的动应力集中系数。

Based on the Biot wave theory and elastic wave theory and by using combined the complex function method,the scattering of underground water-filled pipe in half saturated space impacted by Rayleigh waves was studied and the variation of the dynamic stress concentration factors at boundaries of the water-filled pipe was discussed with different conditions.The results showed that,the influence of the pipe buried depth on the dynamic response is apparent,and with the increase of buried depth of pipeline,the dynamic stress concentration factor of the pipe decreases.The effect depth is about 1.5 times the Rayleigh wave wavelength.As the incident Rayleigh wave frequency added,the maximum of dynamic stress concentration factor decreases gradually.At the same time,the dynamic stress concentration factor distribution of water-filled pipe and empty pipe have some differences,and with the increase of incident Rayleigh wave frequency this difference becomes apparent.The stiffness and thickness of the water-filled pipe on the incident Rayleigh wave scattering has certain effect,and the increase of the pipe thickness and decrease of the pipe stiffness is beneficial to reducing the dynamic stress concentration factor.