A multi-scale coupled method for nonlinear dynamic response analysis of mountain tunnels subjected to fault movement

Abstract

This paper introduces a novel two-step multi-scale coupled method for simulating the nonlinear dynamic behavior of a mountain tunnel subjected to fault movement. In the first step, the broadband seismic responses within a large-scale mountain-fault model can be accurately solved by the indirect boundary element method, converting them into effective input forces around the specified region of interest within the mountain. The second step involves finely simulating the nonlinear dynamic response of the tunnel cross-section in the designated region using the finite element method, with the implementation of a viscoelastic artificial boundary to absorb the reflection of scattered waves at truncated boundaries. Two verification processes are employed to validate the accuracy of the multi-scale coupled method. Furthermore, we illustrate the applicability and efficacy of the new method with an example involving the elastoplastic dynamic analysis of a mountain tunnel under the influence of normal fault movement. The presented example highlights the impact of fault motion parameters, including fault dislocation value and dip angle, on the responses of the mountain tunnel. The results demonstrate that the proposed multi-scale coupled method can achieve full-process seismic simulation, ranging from kilometer-scale fault rupture to centimeter-scale mountain tunnel section damage, with a considerably reduced computational expense.

Keywords

Mountain tunnel / Topography effect / Fault movement / Multi-scale coupled method / Nonlinear dynamic response / Damage characteristics

Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

CRediT authorship contribution statement

Zhongxian Liu: Writing - review & editing, Methodology. Jiaqiao Liu: Writing - original draft, Software. Haitao Yu: Validation, Supervision. Weiguo He: Data curation, Conceptualization.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgement

This work was supported by grants from the National Natural Science Foundation of China (Grant No. 52278516), the Beijing Natural Science Foundation (Grant No. 8232016), the Technology Research and Development Program of China Railway Group Limited (Project No. 2022-Key-12), and the Special Fund Project for High-quality Development of Tianjin Manufacturing Industry (Project No. 23ZGCXQY00010).

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