›› 2017, Vol. 38 ›› Issue (8): 2411-2425.doi: 10.16285/j.rsm.2017.08.031

• Numerical Analysis • Previous Articles     Next Articles

Diffraction of Rayleigh waves around a circular cavity in poroelastic half-space

XU Ying1, 2, LIANG Jian-wen1, 2, LIU Zhong-xian3   

  1. 1. School of Civil Engineering, Tianjin University, Tianjin 300072, China; 2. Tianjin Key Laboratory of Civil Engineering Structures and New Materials, Tianjin University, Tianjin 300072, China; 3. Key Laboratory of Tianjin Soft Soil Character and Engineering Environment, Tianjin Chengjian University, Tianjin 300384, China
  • Received:2015-09-08 Online:2017-08-11 Published:2018-06-05
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (51378348).

PDF (Chinese)

569

Abstract: In this paper, the diffraction of Rayleigh waves around a circular cavity in poroelastic half-space was investigated by indirect boundary integral equation method based on the Biot’s two-phase medium theory. The impacts of incident wave frequencies, porosities, drainage boundary conditions and depths of cavity on the displacement and pore pressure responses were discussed in detail. The results show that the existence of circular cavity amplifies the surface displacement and pore pressure in poroelastic half-space. The peak values of horizontal and vertical surface displacement were enlarged by 10.1 times and 11.2 times respectively for drained boundary, and enlarged by 12.0 times and 9.6 times respectively for undrained boundary. The peak value of surface pore pressure increases by 2.1 to 3.0 times compared with the free field responses. The peak values of displacement and pore pressure responses were both found at the cavity boundary close to the incident wave. With the increase of incident wave frequency or cavity depth, the amplification effect was weakened. The maximum pore pressure around cavity was found at the top of the cavity. For constant porosity, the pore pressure around cavity will reach the highest level when the incident frequency is 1.0 and reach the lowest level when the incident frequency is 2.0.

Key words: poroelastic half-space, circular cavity, diffraction, Rayleigh waves, indirect boundary integration equation method

CLC Number: 

  • P 315.9

[1] TAN Yun-zhi, LI Hui, WANG Pei-rong, PENG Fan, FANG Yan-fen, . Hydro-mechanical performances of bentonite respond to heat-treated history [J]. Rock and Soil Mechanics, 2019, 40(2): 489-496.
[2] HOU Xin, MA Wei, LI Guo-yu, MU Yan-hu, ZHOU Zhi-wei, WANG Fei,. Influence of lignosulfonate on mechanical properties of Lanzhou loess [J]. , 2017, 38(S2): 18-26.
[3] CHAI Hua-you, LI Tian-bin, CHEN Elton J., ZHANG Dian-ji，. Excitability of Rayleigh waves in half spaces under buried sources [J]. , 2017, 38(9): 2480-2486.
[4] SU Cheng-dong, WEI Si-jiang, QIN Ben-dong, YANG Yu-shun,. Experimental study of influence mechanism of high temperature on mechanical properties of fine-grained sandstone [J]. , 2017, 38(3): 623-630.
[5] LIU Jin-ming, OU Zhong-wen, XIAO Han-bing, MO Jin-chuan, YANG Kang-hui. Early strength of stabilized soil affected by functional components [J]. , 2017, 38(3): 755-761.
[6] CHAI Hua-you, KE Wen-hui, HUANG Xiang-guo, LI Zhong-chao, LI Tian-xiang，. Analysis of propagation behavior of Rayleigh waves activated by surface sources [J]. , 2017, 38(2): 325-332.
[7] LIU Zhong-xian ，WANG Shao-jie，. Isolation effect of discontinuous pile-group barriers on plane P and SV waves: Simulation based on 2D broadband indirect boundary integration equation method [J]. , 2016, 37(4): 1195-1207.
[8] CHAI Hua-you, LI Tian-bin, ZHANG Dian-ji, CHEN Elton J.， WU Qiao-yun, CHAI Xiu-wei，. Effect of surface permeability of saturated porous media on behaviour of surface waves using thin layer method [J]. , 2016, 37(12): 3371-3379.
[9] QI Hui, CAI Li-ming, PAN Xiang-nan, ZHANG De-wei, ZHANG Yang. Scattering and seismic ground motion of circular cavity and salient with SH wave in a quarter space [J]. , 2015, 36(2): 347-353.
[10] YANG Tian-chun,. Appendant layer method for dispersion characteristics of Rayleigh wave in irregular profiles [J]. , 2013, 34(12): 3365-3371.
[11] CAO Zhi-gang，CAI Yuan-qiang，XU Chang-jie. Screening efficiency of open trenches to train-induced ground vibration [J]. , 2012, 33(8): 2373-2382.
[12] WANG Peng , WANG Jun , CAI Yuan-qiang , DING Guang-ya . Analysis of rocking vibrations of a foundation on saturated soil excited by Rayleigh waves [J]. , 2012, 33(12): 3689-3695.
[13] WANG Chang-bo, LI Hai-bo, ZHOU Qing-chun, XIA Xiang. Parameters sensitivity analysis of dynamic stress concentration for deep buried tunnel under incident plane waves [J]. , 2011, 32(3): 775-780.
[14] LIANG Jian-wen，FENG Ling-xiang，BA Zhen-ning. Diffraction of plane P waves around a local fault [J]. , 2011, 32(1): 244-252.
[15] LI Jian-hua, XU Bin, XU Man-qing, LIU You-ping. Vibration isolation using pile rows in a layered poroelastic half-space against vibration due to harmonic loads [J]. , 2010, 31(S2): 12-18.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd