Analytical and Semi-Analytical Solutions for Describing Tunneling-Induced Transverse and Longitudinal Settlement Troughs
Publication: International Journal of Geomechanics
Volume 20, Issue 8
Abstract
It is an ongoing problem to develop a solution to predict ground deformation induced by shallow tunnels construction in dry soils. This study proposes a closed-form elastic analytical solution and a plastic analytical solution for calculating the longitudinal settlement trough. Meanwhile, a semi-analytical solution is further developed for better fitting tunneling-induced ground deformation, where the metaheuristics optimization algorithm particle swarm optimization (PSO) is employed to identify the empirical parameters of the proposed semi-analytical solution. A uniform formulation with the combination of analytical and semi-analytical solutions accounting for tunnel uniform convergence and ovalization deformation modes is proposed. A 3-dimensional numerical model and centrifuge test results are used to validate the prediction capability of the proposed solutions in predicting longitudinal and transverse settlement troughs, respectively. The results indicate the proposed semi-analytical solution can overcome the deficiency of analytical solutions, and the predicted results show great agreement with actual tunneling-induced transverse and longitudinal settlement troughs. A simple linear relationship is discovered between coefficients of the proposed semi-analytical solution identified by PSO and their influential factors that assign physical meaning to these empirical coefficients and also provides a straightforward method to estimate coefficients effectively.
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Data Availability Statement
All data used during the study are available from the corresponding author by request.
The present work was carried out with the support of the National Natural Science Foundation of China (Nos. 51878267 and 51938005).
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Published In
International Journal of Geomechanics
Volume 20 • Issue 8 • August 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Oct 12, 2019
Accepted: Feb 24, 2020
Published online: May 29, 2020
Published in print: Aug 1, 2020
Discussion open until: Oct 29, 2020
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