Three-Dimensional Simulation of Interaction Between Surface Buildings and Twin Tunnelling Regarding the Surface Settleme

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ORIGINAL PAPER

Three-Dimensional Simulation of Interaction Between Surface Buildings and Twin Tunnelling Regarding the Surface Settlement A. Mirhabibi . A. Soroush

Received: 5 February 2016 / Accepted: 11 May 2020  Springer Nature Switzerland AG 2020

Abstract Tunneling-induced strain and stress distribution in a soil medium is completely three dimensional. However, the issue is usually modeled in twodimensions (2D) in order to lower the computational costs. In this study, full three-dimensional (3D) finite element (FE) analysis of twin tunnelling and surface building are carried out to compare the results with 2D ones and to find out surface settlement behavior during tunneling process considering the presence of a building on the surface. Conducting 3D FE parametric studies, a large database is created and the results are used to evaluate different aspects of 3D modeling. Based on the outcomes of this study, comparison between 2D and 3D modeling is conducted, the situations in which 3D analysis could be substituted by 2D plane strain models and the cases in which 3D modeling is necessary are defined. The effects of different parameters on surface settlement trough are assessed and a modification design graph for prediction of maximum 3D building settlement from 2D green-field analysis is suggested.

A. Mirhabibi (&) Islamic Azad University, Parand Branch, Parand, Iran e-mail: [email protected] A. Soroush Department of Civil and Environmental Engineering, Amirkabir University of Technology, Hafez Street, Tehran, Iran

Keywords Twin tunnels  Tunnel–building interaction  3D finite element modeling  Assessment of 2D elastic beam method

1 Introduction Tunneling-induced strain and stress distribution in a soil medium is completely three dimensional (3D). This issue is usually simulated by two dimensional (2D) models due to computational limitations. In 2D simulations, common simplified plane strain conditions are assumed and the surface buildings are modeled by an elastic surface beams (Mirhabibi and Soroush 2012). This simplifications would result in some limitations i.e. length, height and internal walls of building could not be realistically modeled in the equivalent surface beam and also 3D effects of tunneling could not be simulated accurately. Augrade (1997), Liu (1997), Netzel and Kaalberg (2000) and Bloodworth (2002) investigated the interaction between tunneling and masonry buildings by conducting some 3D numerical simulations. The buildings were simulated using a fac¸ade box and notension model was utilized for the masonry walls. Dias and Kastner (2002) and Jenck and Dias (2004) investigated the effect of multistory framed structure on the tunnel-induced ground settlement. The buildings were modeled by elastic columns supporting floors assuming elastic properties.

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Geotech Geol Eng

Shin et al (2002) used a pseudo-three-dimensional analysis of tunnel construction and the results were compared with 2D analyses and field data. They also modeled gr