![](/images/graphics-bg.png)
Uncertainty Evaluation of Water Inrush in Karst Tunnels Based on Epistemic Uncertainty with Possibility Theory
Joint Authors
Wang, Mingyang
Hao, Yiqing
Shi, Yehui
Geng, Hao
J, Xi
Feng, Shufang
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In the risk assessment of water inrush in karst tunnel, it is most important to provide an available theoretical model for qualifying the epistemic uncertainties due to a lack of knowledge and information.
Firstly, a mechanical model dependent on geology is introduced associating with four parameters, i.e., the elastic modulus E, the Poisson ratio μ, the water differential pressure q, and the tunnel radius a.
Then, a mathematical model representing epistemic uncertainty is represented with probability theory and possibility theory.
The methodology was computerized to calculate the distribution of the margin and uncertainty and then to determine the ratio of “margin/uncertainty.” Analyses involving possibility theory and possibility theory are illustrated with the same engineering example used in the presentation indicated above to illustrate the use of probability to represent aleatory and epistemic uncertainty in QMU analyses.
The comparison between the uses of possibility theory and probability theory for the representation of aleatory and epistemic uncertainty indicates that the possibility is not only has a better mathematical structure than probability theory but also has some challenges.
American Psychological Association (APA)
Hao, Yiqing& Wang, Mingyang& Shi, Yehui& Geng, Hao& J, Xi& Feng, Shufang. 2020. Uncertainty Evaluation of Water Inrush in Karst Tunnels Based on Epistemic Uncertainty with Possibility Theory. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194052
Modern Language Association (MLA)
Hao, Yiqing…[et al.]. Uncertainty Evaluation of Water Inrush in Karst Tunnels Based on Epistemic Uncertainty with Possibility Theory. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1194052
American Medical Association (AMA)
Hao, Yiqing& Wang, Mingyang& Shi, Yehui& Geng, Hao& J, Xi& Feng, Shufang. Uncertainty Evaluation of Water Inrush in Karst Tunnels Based on Epistemic Uncertainty with Possibility Theory. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194052
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194052