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

被引:0
作者
Xu Y. [1 ,2 ]
Liang J.-W. [1 ,2 ]
Liu Z.-X. [3 ]
机构
[1] School of Civil Engineering, Tianjin University, Tianjin
[2] Tianjin Key Laboratory of Civil Engineering Structures and New Materials, Tianjin University, Tianjin
[3] Key Laboratory of Tianjin Soft Soil Character and Engineering Environment, Tianjin Chengjian University, Tianjin
来源
Liang, Jian-Wen (liang@tju.edu.cn) | 1600年 / Academia Sinica卷 / 38期
基金
中国国家自然科学基金;
关键词
Circular cavity; Diffraction; Indirect boundary integration equation method; Poroelastic half-space; Rayleigh waves;
D O I
10.16285/j.rsm.2017.08.031
中图分类号
学科分类号
摘要
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. © 2017, Science Press. All right reserved.
引用
收藏
页码:2411 / 2424
页数:13
相关论文
共 27 条
  • [1] Wolf J.P., Dynamic Soil-Structure Interaction, (1985)
  • [2] Chen Y.-M., Wu S.-M., Solution of Rayleigh wave characteristic equation for layered foundation, Journal of Zhejiang University (Engineering Science), 25, 1, pp. 40-52, (1991)
  • [3] Huang M.-S., Ren Q., Zhou R.-Y., Et al., Attenuation characters of Rayleigh wave in layered soils, Rock and Soil Mechanics, 30, 1, pp. 113-117, (2009)
  • [4] Chen L.-Z., Huang Q.-J., Xia T.-D., Dispersion for Rayleigh wave in a saturated soil ground, Chinese Journal of Geotechnical Engineering, 20, 3, pp. 6-9, (1998)
  • [5] Fan Y.-H., Chen X.-F., Liu X.-F., Et al., Approximate decomposition of the dispersion equation at high frequencies and the number of multimodes for Rayleigh waves, Chinese Journal of Geophysics, 50, 1, pp. 233-239, (2007)
  • [6] Yang T.-C., Appendant layer method for dispersion characteristics of Rayleigh wave in irregular profiles, Rock and Soil Mechanics, 34, 12, pp. 3365-3371, (2013)
  • [7] Yang T.-C., Yi W.-J., He J.-S., Et al., Forward modeling of Rayleigh leaky mode waves, Journal of Hunan University (Natural Sciences), 32, 4, pp. 12-17, (2005)
  • [8] Wong H.L., Effect of surface topography on the diffraction of P, SV, and Rayleigh waves, Bulletin of Seismological Society of America, 72, 4, pp. 1167-1183, (1982)
  • [9] Sanchezsesma F.J., Campillo M., Diffraction of P, SV, and Rayleigh waves by topographic features: A boundary integral formulation, Bulletin of the Seismological Society of America, 81, 6, pp. 2234-2253, (1991)
  • [10] Liang J.-W., Li F.-J., Gu X.-L., Scattering of Rayleigh waves by a shallow circular canyon: high-frequency solution, Earthquake Engineering & Engineering Dynamics, 25, 5, pp. 24-29, (2005)