Theoretical responses of shallow-buried circular cavity subjected to transient P wave

Shallow-buried structures are inevitably subjected to time-varying disturbances such as drilling and blasting, earthquake and tectonic activities. The work presented in this paper focuses on the transient responses of a shallow-buried cavity. Based on the wave function expansion method, the large arc approximation and the integral transform, the time-domain responses around a cylindrical cavity subjected to transient P wave in an elastic half space are investigated analytically. The analytical results reveal that the wavelength-to-diameter ratio, the direction of disturbance and the embedment depth have a significant effect on the velocity vibrations and dynamic stress concentration around the tunnel. The theoretical investigations can provide practical value for the support of shallow tunnels.

Automated summary

This paper focuses on the transient responses of shallow-buried structures subjected to time-varying disturbances. Analytical investigations based on the wave function expansion method reveal that the velocity vibrations and dynamic stress concentration around tunnels are significantly affected by the wavelength-to-diameter ratio, disturbance direction, and embedment depth. The theoretical findings can provide practical value for the support of shallow tunnels.