Application of Biot’s Poroelasticity to Seismic Analysis of Subway Stations in a Saturated Poroelastic Half-space: Effects of Viscous Coupling

Author(s):  
Jun Zhu ◽  
Jianwen Liang ◽  
Zhenning Ba
2011 ◽  
Vol 90-93 ◽  
pp. 2200-2206
Author(s):  
Jing Bo Liu ◽  
Dong Dong Zhao ◽  
Wen Hui Wang

To obtain the seismic responses of typical subway stations in Beijing, a nonlinear analysis was conducted using a pushover method for seismic analysis and design of underground structures. The analysis mainly focuses on stress in columns and side walls and relative displacement between top and bottom slabs under 3 different levels of PGA (peak ground acceleration). From the analysis, the column shows good ductility due to its high ratio of reinforcement, and it has a good performance under strong motions. Compared with columns, side walls suffer from brittle failure and lose bearing capacity prior to column for its lower ratio of reinforcement. The calculated displacement indicates that the relative displacement between top and bottom slabs is linear proportional to peak ground relative displacement (PGRD). And compared with peak ground acceleration (PGA), PGRD is a more reliable design parameter of ground motion for underground structures. And the typical subway stations in Beijng can withstand the earthquake with design PGA up to 0.2 g.


2021 ◽  
Vol 25 (5) ◽  
pp. 1732-1745
Author(s):  
Yitao Li ◽  
Honggui Di ◽  
Shunhua Zhou ◽  
Quanmei Gong

Author(s):  
Sharad Joshi ◽  
Ishwer Datt Gupta ◽  
Lalitha R. Pattanur ◽  
Pranesh B. Murnal

The inhomogenieties of the foundation can be modeled explicitly in standard FEM procedure, however, the results vary significantly with the extent of foundation block modeled and mechanism of applying the input earthquake excitation. The substructure approach provides mathematically exact solution but assumes average properties for the entire foundation as viscoelastic half space. This paper has carried out detailed investigations with varying impedance contrasts and different size of foundation block to show that the results, with suitably deconvoluted free-field ground acceleration time-history applied at the base of foundation block in the FEM approach, are in good agreement with the substructure approach. However, the other variants of the FEM approach may lead to erroneous and overestimated stresses in the dam body. As the foundation of gravity dams can generally be approximated as an equivalent homogeneous half-space, the more accurate and efficient substructure approach can be used to model the dam-foundation rock interaction (SSI) effects in most practical situations.


2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.


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