An end-to-end 3d seismic simulation of underground structures due to point dislocation source by using an FK-FEM hybrid approach

Ba, Zhenning; Fu, Jisai; Zhu, Zhihui; Zhong, Hao

doi:10.1007/s11709-022-0887-0

Cited by 4 publications

(2 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[1][2][3][4][5][6][7][8][9][10] It has important theoretical significance and engineering application value in the fields of seismic engineering, geotechnical engineering and geophysics, etc., and hence, is widely investigated. [11][12][13][14][15][16] In 1904, Lamb 17 solved the dynamic Boussinesq problem due to a surface source for an elastic medium. Then, on this basis, Chao 18 and Pak 19 extended the elastic vibration problem caused by dynamic surface load on an elastic half-space, to vibration problem caused by a buried source.…”

Section: Introductionmentioning

confidence: 99%

“…The elastic vibration problem caused by a surface or buried vibration source is the basis of the study of the dynamic interaction between structure and soil 1–10 . It has important theoretical significance and engineering application value in the fields of seismic engineering, geotechnical engineering and geophysics, etc., and hence, is widely investigated 11–16 . In 1904, Lamb 17 solved the dynamic Boussinesq problem due to a surface source for an elastic medium.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Three‐dimensional fundamental solution for unsaturated transversely isotropic half‐space under surface time‐harmonic load

Wang

Zhou

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

An analytical solution of unsaturated poroelastic transversely isotropic (TI) half‐space under surface time‐harmonic load with consideration of compressibility, viscous and inertial coupling of soil skeleton, pore‐water and pore‐air, as well as the capillary pressure is investigated in this paper. Firstly, the governing equations of unsaturated TI soil are established in cylindrical coordinate system. Then, the displacement function and operator theory are introduced to decouple the general solution. Secondly, Fourier expansion and Hankel transform are applied to the circumferential and radial coordinates, and the integral general solutions of soil skeleton displacement, pore‐water displacement and pressure, pore‐air displacement and pressure, and the total stress components are derived in the transformed domain. Combined with boundary conditions and continuity conditions, the fundamental solution of unsaturated TI half‐space is obtained. Finally, the proposed solution is verified by benchmarking with two existing solutions. The influence of the TI parameters, vibration frequency and the degree of saturation on the dynamic response of unsaturated poroelastic half‐space is investigated.

show abstract