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Updated: Aug 11, 2025

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images
Published on: August 31, 2022
Limitation of convergence-confinement method on three-dimensional tunnelling effect.
Liuming Chang1, Leandro R Alejano2, Lan Cui3,4
1College of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan, 232001, China.
The convergence-confinement method (CCM) has limitations in tunnel support design due to its 2D simplification of 3D effects. This study compares CCM with 3D modeling to understand deviations and provide guidelines for appropriate use.
Area of Science:
- Geotechnical Engineering
- Tunneling Engineering
- Rock Mechanics
Background:
- The convergence-confinement method (CCM) is a common tool for tunnel support design.
- CCM simplifies 3D tunnel advance problems into 2D plane strain analyses.
- Limitations arise from ignoring three-dimensionality, leading to deviations from actual behavior.
Purpose of the Study:
- To investigate the limitations of CCM in reflecting 3D tunneling effects.
- To compare CCM results with 3D numerical modeling for deformation, support pressure, and liner loads.
- To understand the reasons behind discrepancies between CCM and 3D analyses.
Main Methods:
- Comparison of CCM and 3D numerical modeling results.
- Analysis of tunnel deformation, support pressure, and liner loads.
- Evaluation across various geological conditions in a typical tunnel case.
Main Results:
- CCM shows deviations from 3D numerical modeling in rock deformation and support pressure.
- The study explains the reasons for these differences, highlighting the impact of 3D effects.
- Acceptable use of CCM is dependent on rock mass strength and tunnel depth.
Conclusions:
- CCM's 2D simplification introduces inaccuracies in 3D tunnel scenarios.
- A rigorous 3D approach is necessary for certain geological conditions and tunnel depths.
- Guidelines are provided to determine when CCM is appropriate versus when 3D analysis is required.
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