Distribution Function of the Random Variable Thickness of Shotcrete in Temporary Support of Tunnels

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Basaligheh f.; KEYHANI A.

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Journal: JOURNAL OF ROCK MECHANICS Year:2017 | Volume:1 | Issue:1 Page(s): 55-67

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Information Journal Paper

Title

Distribution Function of the Random Variable Thickness of Shotcrete in Temporary Support of Tunnels

Author(s)

Basaligheh f. | KEYHANI A. | Issue Writer Certificate

Keywords

Tunnel

Temporary support

Reliability

Shotcrete

Probability distribution function

Random variable

Abstract

Summary In this paper, Probability Density Function (PDF) for thickness of the Shotcrete cover in Tunnel Temporary support is investigated. Based on collected data from a recently constructed Tunnel in Iran, the proper PDF is suggested. To achieve this, three goodness of fit statistical methods are considered to find the appropriate distribution function. The results show that the Generalized Extreme Value distribution function has the best rank with respect to other distribution functions. Introduction One of the most important issues in the Reliability analysis of the structures is proper selection of the distribution function for existing Random variables. In Tunnels, the problem of Temporary supporting system involves many Random variables including thickness of the Shotcrete. In this research, based on the data obtained from an existing Tunnel in Iran, the Probability distribution function for the Shotcrete thickness is determined by using curve fitting techniques. Methodology and Approaches Different distribution functions have been studied and compared based on three well-known goodness of fit tests, called Chi-Squared, Kolmogorov Smirnov and Anderson Darling. For this purpose, nine points in each section and 43 individual sections are considered in the Tunnel route. It is reasonable an individual point in all sections is considered to obtain a distribution function. Also, 15 types of distribution functions are chosen to have an appropriate fit over the data. The EasyFit software is utilized for assessment and finding the appropriate distribution function using the three mentioned goodness of fit tests. Results and Conclusions According to the results, the Generalized Extreme Value Distribution is recommended for PDF of Shotcrete thickness in Tunnel supporting systems. It is noted that this distribution function has the best rank in all three goodness of fit tests. Although the results are obtained by using data from a specific Tunnel project, they can be improved by considering more data from other projects. The distribution function can be used to obtain uncertainties of thickness of Shotcrete in Reliability analysis of Tunnels.

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APA: Copy

Basaligheh, f., & KEYHANI, A.. (2017). Distribution Function of the Random Variable Thickness of Shotcrete in Temporary Support of Tunnels. JOURNAL OF ROCK MECHANICS, 1(1 ), 55-67. SID. https://sid.ir/paper/268311/en

Vancouver: Copy

Basaligheh f., KEYHANI A.. Distribution Function of the Random Variable Thickness of Shotcrete in Temporary Support of Tunnels. JOURNAL OF ROCK MECHANICS[Internet]. 2017;1(1 ):55-67. Available from: https://sid.ir/paper/268311/en

IEEE: Copy

f. Basaligheh, and A. KEYHANI, “Distribution Function of the Random Variable Thickness of Shotcrete in Temporary Support of Tunnels,” JOURNAL OF ROCK MECHANICS, vol. 1, no. 1 , pp. 55–67, 2017, [Online]. Available: https://sid.ir/paper/268311/en

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