Since 1963
ARTICLE
Diffraction of plane P-wave by an underwater tunnel
1
Yellow River Engineering Consulting Co., Ltd., Zhengzhou, China
Submission date: 2024-09-27
Final revision date: 2024-12-23
Acceptance date: 2025-01-29
Online publication date: 2025-03-24
Corresponding author
KEYWORDS
TOPICS
ABSTRACT
In this investigation, the traditional seismic response problem of tunnels in single-phase and saturated soil under the incidence of plane waves is extended to the ground motion problem considering the overlying water. Firstly, the site model of underwater tunnel under plane P-wave incidence is established. Then, the influence of thermal physical parameters such as incident angle, incident frequency and porosity on the ground motion of an underwater tunnel is studied using the Fourier–Bessel series expansion method of the wave function, which provides a reasonable explanation for the ground motion of an underwater site.
REFERENCES (25)
1.
Ba, Z. (2006). Scattering of P and SV waves by canyons and tunnels in saturated half-space. Tianjin University.
2.
Ba, Z., Sang, Q., & Liang, J. (2022). Seismic analysis of a lined tunnel in a multi-layered TI saturated half-space due to qP1- and qSV-waves. Tunnelling and Underground Space Technology, 119, Article 104248. https://doi.org/10.1016/j.tust....
3.
Biot M.A. (1956a). Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. The Journal of the Acoustical Society of America, 28(2), 168–178. https://doi.org/10.1121/1.1908....
4.
Biot M.A. (1956b). Theory of propagation of elastic waves in a fluid-saturated porous solid: II. Higher frequency range. The Journal of the Acoustical Society of America, 28(2), 179–191. https://doi.org/10.1121/1.1908....
5.
Cao, H. & Lee, V.W. (1990). Scattering and diffraction of plane P waves by circular cylindrical canyons with variable depth-to-width ratio. Soil Dynamics and Earthquake Engineering, 9(3), 141–150. https://doi.org/10.1016/S0267-....
6.
Ding, H., Tong, L.H., Xu, C., & Hu, W. (2020). Aseismic performance analysis of composite lining embedded in saturated poroelastic half space. International Journal of Geomechanics, 20(9), Article 04020156. https://doi.org/10.1061/(ASCE)....
7.
Gomes, R.C., Gouveia, F., Torcato, D., & Santos, J. (2015). Seismic response of shallow circular tunnels in two-layered ground. Soil Dynamics and Earthquake Engineering, 75, 37–43. https://doi.org/10.1016/j.soil....
8.
Kattis, S.E., Beskos, D.E., & Cheng, A.H.D. (2003). 2D dynamic response of unlined and lined tunnels in poroelastic soil to harmonic body waves. Earthquake Engineering and Structural Dynamics, 32(1), 97–110. https://doi.org/10.1002/eqe.21....
9.
Lee, V.W. & Cao, H. (1989). Diffraction of SV by circular canyons of various depths. Journal of Engineering Mechanics, 115(9), 2035–2056. http://dx.doi.org/10.1061/(ASC...).
10.
Lee, V.W. & Karl, J. (1992). Diffraction of SV waves by underground, circular, cylindrical cavities. Soil Dynamics & Earthquake Engineering, 11(8), 445–456. https://doi.org/10.1016/0267-7....
11.
Lee, V.W. & Liu, W.Y. (2014). Two-dimensional scattering and diffraction of P- and SV-waves around a semi-circular canyon in an elastic half-space: An analytic solution via a stress-free wave function. Soil Dynamics and Earthquake Engineering, 63, 110–119. https://doi.org/10.1016/j.soil....
12.
Liang, Y., Zhou, F., Cao, X., Wang, L., Liu, H., & Zhu, S. (2023). Scattering of plane SH waves by a circular tunnel in nonlocal fractional-order viscoelastic half-space. Soil Dynamics and Earthquake Engineering, 170, Article 107934. https://doi.org/10.1016/j.soil....
13.
Liu, Z., Ju, X., Wu, C., & Liang, J. (2017). Scattering of plane P1 waves and dynamic stress concentration by a lined tunnel in a fluid-saturated poroelastic half-space. Tunnelling and Underground Space Technology, 67, 71–84. https://doi.org/10.1016/j.tust....
14.
Luco, J.E. & de Barros, F.C.P. (1994). Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half-space. Earthquake Engineering and Structural Dynamics, 23(3), 321–340. https://doi.org/10.1002/eqe.42...
15.
Ma, Q., Zhou, F.X., Shao, S.J., Shao, S. & Zhang, M. (2023). Diffraction of plane P waves by a circular-arc canyon in an unsaturated poroelastic half-space. Soil Dynamics and Earthquake Engineering, 174, Article 108163. https://doi.org/10.1016/j.soil...
16.
Pao, Y.H., Mow, C.C., & Achenbach, J.D. (1973). Diffraction of elastic waves and dynamic stress concentrations. Journal of Applied Mechanics, 40, 213–219. https://doi.org/10.1115/1.3423....
17.
Tan, Y., Yang, M., & Li, X. (2020). Dynamic response of a circular lined tunnel with an imperfect interface embedded in the unsaturated poroelastic medium under P wave. Computers and Geotechnics, 122, Article 103514. https://doi.org/10.1016/j.comp....
18.
Xiang, G.L., Tao, M., Zhao, R., Zhao, H., Memon, M.B., & Wu, C. (2024). Dynamic response of water-rich tunnel subjected to plane P wave considering excavation induced damage zone. Underground Space, 15, 113–130. https://doi.org/10.1016/j.unds....
19.
Xu, C.J., Ding, H.B., Tong, L.H., Luo, W.J., & Wang, N. (2019). Scattering of a plane wave by shallow buried cylindrical lining in a poroelastic half-space. Applied Mathematical Modelling, 70, 171–189. https://doi.org/10.1016/j.apm.....
20.
You, H.B. (2005). Elastic wave scattering by a canyon or tunnel in layered saturated half space (in Chinese). Tianjin University.
21.
Yue, C. & Liu, Q. (2023). Dynamic response of a shallow lined circular tunnel by incident P1 and SV waves in an unsaturated half-plane. Tunnelling and Underground Space Technology, 141, Article 105364. https://doi.org/10.1016/j.tust....
22.
Zhang, J.L., Ma, Q., & Jiang, H.P. (2024). Study on the transmission and reflection of P1 wave at the interface between saturated soil and saturated frozen soil medium (in Chinese). Rock and Soil Mechanics, 45(10), 1–14.
23.
Zhao, S. & Ma, Q. (2024). Diffraction of plane P waves by a circular unlined tunnel in an unsaturated poroelastic half-space. Journal of Vibration Engineering & Technologies, 12(Suppl. 2), 1501–1519. https://doi.org/10.1007/s42417....
24.
Zhao, S., Ma, Q., & Zhang, W.Y. (2024). Diffraction of plane P-waves by a single-layer lined tunnel in an unsaturated poroelastic half-space. Mechanics of Solids, 59(1), 496–520. https://doi.org/10.1134/S00256....
25.
Zhou, F.X., Lai, Y.M., & Song, R.X. (2013). Propagation characteristics of plane wave in nonhomogeneously saturated soils (in Chinese). Science China Press, 43(2), 131–140.
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
