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Rock Stress Around Noncircular Tunnel: a New Simple Mathematical Method

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  28 November 2017

Wenlong Shen ,
Xiangyu Wang ,
Jianbiao Bai ,
Wenfeng Li  and
Yang Yu
Wenlong Shen*
Affiliation:
School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo 454000, Henan, China State Key Laboratory of Coal Resources and Mine Safety, China University of Mining & Technology, Xuzhou 221116, Jiangsu, China
Xiangyu Wang*
Affiliation:
State Key Laboratory of Coal Resources and Mine Safety, China University of Mining & Technology, Xuzhou 221116, Jiangsu, China
Jianbiao Bai
Affiliation:
State Key Laboratory of Coal Resources and Mine Safety, China University of Mining & Technology, Xuzhou 221116, Jiangsu, China
Wenfeng Li
Affiliation:
Mewbourne School of Petroleum and Geological Engineering, University of Oklahoma, Norman, OK 73019, USA
Yang Yu
Affiliation:
School of Civil Engineering; Xuzhou Institute of Technology, Xuzhou 221008, Jiangsu, China
*
*Corresponding author. Email:wangxiangyu [email protected] (X. Y. Wang), [email protected] (W. L. Shen)
*Corresponding author. Email:wangxiangyu [email protected] (X. Y. Wang), [email protected] (W. L. Shen)
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Abstract

A new simple mathematical method has been proposed to predict rock stress around a noncircular tunnel and the method is calibrated and validated with a numerical model. It can be found that the tunnel shapes and polar angles affect the applicable zone of the theoretical model significantly and the applicable zone of a rectangular tunnel was obtained using this method. The method can be used to predict the values of the concentrated stress, and to analyze the change rate of rock stress and back to calculate the mechanical boundary condition in the applicable zone. The results of the stress change rate indicate that the horizontal stress is negatively related to the vertical boundary load and positively related to the horizontal boundary load. The vertical stress is negatively related to the horizontal boundary load and positively related to the vertical boundary load. These findings can be used to explain the evolution of the vertical increment in stress obtained with field-based borehole stress monitoring.

Keywords

Rock stressmathematical modelnoncircular tunnelapplicable zonestress change ratenumerical simulation

MSC classification

Secondary: 78A48: Composite media; random media
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 6 , December 2017 , pp. 1330 - 1346
Copyright
Copyright © Global-Science Press 2017 

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