Uncertainty analysis of rock tunnel based on fractional moment and dimensional reduction method

doi:10.1016/j.ijrmms.2021.104656

	Uncertainty analysis of rock tunnel based on fractional moment and dimensional reduction method
	Zhao, Hongbo 1; Li, Shaojun 2; Zhu, Changxing 3
刊名	INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
	2021-03-01
卷号	139 页码:9
关键词	Tunnel Uncertainty Dimensional reduction method Fractional moment Maximum entropy principle
ISSN号	1365-1609
DOI	10.1016/j.ijrmms.2021.104656
英文摘要	In this study, fractional moment was adopted to estimate the uncertainty in a tunnel excavated in rock. The multiplicative dimensional reduction method (M-DRM) was adopted to approximate the relationship between random variables and response of the tunnel and to predict its behavior. Integer and non-integer (fractional) moments were estimated by Gaussian quadrature based on M-DRM. The maximum entropy principle was also used to estimate the probability distribution of the tunnel response using the optimization technology of Excel Solver based on fractional moment. The example of a circular tunnel in a rock mass subjected to hydrostatic stress is given. This demonstrates the uncertainty analysis procedure applied to the displacements and plastic zone induced by the excavation, for different rock-support pressures and far-field stresses. Statistical moment, standard deviation and probability distribution of the tunnel response all agree well with Monte Carlo simulation (MCS). M-DRM closely approximates the tunnel response, and improves the efficiency of the uncertainty analysis. The proposed method estimates the probability distribution based on frictional moment without any prior knowledge. The results show that the proposed uncertainty analysis method is robust, efficient and precise, and is suitable for a complex practical engineering system as encountered in rock engineering.
资助项目	National Natural Sciences Foundation of China, China[U1765206,51874119] ; Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, China[Z020006]
WOS研究方向	Engineering ; Mining & Mineral Processing
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000626626500003
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/25936]
专题	中科院武汉岩土力学所
通讯作者	Zhao, Hongbo
作者单位	1.Shandong Univ Technol, Sch Civil & Architectural Engn, Zibo 255000, Peoples R China 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China 3.Henan Polytech Univ, Sch Civil Engn, Jiaozuo 454003, Henan, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Hongbo,Li, Shaojun,Zhu, Changxing. Uncertainty analysis of rock tunnel based on fractional moment and dimensional reduction method[J]. INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES,2021,139:9.
APA	Zhao, Hongbo,Li, Shaojun,&Zhu, Changxing.(2021).Uncertainty analysis of rock tunnel based on fractional moment and dimensional reduction method.INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES,139,9.
MLA	Zhao, Hongbo,et al."Uncertainty analysis of rock tunnel based on fractional moment and dimensional reduction method".INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES 139(2021):9.