An improved Hyperstatic Reaction Method for tunnels under seismic loading. (February 2021)

• Record Type: Journal Article
• Authors: Sun, Qiangqiang; Du, Dianchun; Dias, Daniel
• Is Part Of: Tunnelling and underground space technology. Volume 108(2021)
• Publication Date: 2021-02
• Subjects: Circular tunnel -- Hyperstatic Reaction Method -- Seismic design -- Analytical solution; Tunneling -- Periodicals; Underground construction -- Periodicals; Tunnels -- Periodicals; Underground areas -- Periodicals; 624.193
• DOI: 10.1016/j.tust.2020.103687
• Languages: English
• ISSNs: 0886-7798

Abstract

Highlights: A new seismic analysis method of tunnels using the hyperstatic reaction method (HRM). Numerical implementation of the HRM method for practical design. Extensive validations with other methods in different scenarios. The proposed HRM method shows good accuracy. Abstract: Hyperstatic Reaction Method (HRM) is a simple but effective method with attractive features in calculating internal forces and deformations of the tunnel lining. The superior ability of the HRM method under static conditions inspires the further development of this method for tunnel seismic design. This paper implements an improved HRM method for estimating seismic-induced internal forces in the tunnel lining in a quasi-static condition. To this end, a modification parameter ( a ) for approximating the applied active load as well as a varying spring stiffness factor ( β ) for characterizing the soil-tunnel interaction is incorporated into the existing HRM method. The values of two dimensionless parameters are calibrated through an analytical solution for a wide range of the soil and tunnel lining properties. The efficiency of the improved HRM method is verified against the analytical solution and numerical analysis in several benchmark cases. The comparisons show that the improved HRM method can be used for the preliminary seismic design of tunnels.