Reliability of tunnel lining design using the Hyperstatic Reaction Method

Kroetz, Henrique Machado; Anh, Ngoc; Dias, Daniel; Beck, André Teófilo

doi:10.1016/j.tust.2018.03.028

Cited by 43 publications

(20 citation statements)

References 35 publications

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“…Because of the variability in the physical parameters and the incomplete knowledge of underground structures, researchers have realized that there are uncertainties in parameters such as rock mass, support, and ground stress [1][2][3][4][5]. Deterministic methods cannot accurately represent the uncertainties in these parameters and might even produce erroneous results [6][7][8][9]. Therefore, the reliability method, which can address uncertain parameters, has attracted considerable interest from scholars [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…Different initial damage causes different failure processes [15][16][17][18][19][20]. The system reliability theory can analyze the reliability evolution of different failure modes [8,[21][22][23]. Because of the different stress distributions at different locations of the structure system, different structural parts have different levels of reliability.…”

Section: Introductionmentioning

confidence: 99%

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Tunnel Failure Evolution and System Reliability Analysis Based on the β-unzipping Method

2021

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The structural failure of a tunnel is a process that evolves from local damage to overall destruction. The system reliability analysis method can be useful for analyzing the evolutionary law of local structural failure. In many complex stress environments, the structural performance function may be very complicated or even impossible to solve. This paper establishes a response surface function to represent the implicit tunnel performance function. The reliability of the shear capacity of a tunnel is considered. The critical parts and critical failure paths of the tunnel system are determined using the β-unzipping method. Failure evolution is analyzed to obtain the failure process of the tunnel system. Different failure modes are shown under different cases. Based on the partial failure probability and impact on the tunnel system, the risk levels of the critical parts at each stage of the failure history are evaluated. Therefore, the tunnel failure tree model obtained by combining the response surface method and β-unzipping method plays an important role in tunnel reliability evolution, and can evaluate tunnel safety comprehensively.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tunnel Failure Evolution and System Reliability Analysis Based on the β-unzipping Method

2021

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“…In recent years, the investigation of tunnel liner has received more and more attention from researchers in geotechnical engineering, and an increasing number of relevant studies have been reported in the literature [1][2][3][4][5][6][7][8][9][10]. However, most of the studies listed above are devoted to either the deterministic analysis or design of tunnel liner or simple probabilistic analysis of tunnel liner stability with only consideration of the variability of ground properties.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, in the investigation conducted by Langford and Diederichs [3], the modified point estimate method for the reliability-based analysis and design of tunnel liner considers only the variability of Hoek-Brown parameters. Furthermore, the simple probabilistic procedure initiated by Kroetz et al [7] for analyzing the tunnel liner stability, with respect to the liner internal forces, can only account for the variability in the soil mass.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Analysis of Tunnel Liner Performance Using Random Field Theory

Cheng

Cao

et al. 2019

Advances in Civil Engineering

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Tunnel liner is conventionally designed according to the deterministic design methods. However, the loads transmitted from the surrounding ground to the liner are very uncertain. In other words, the tunnel liner is subjected to nonuniform loading conditions which may affect its performance. This is mainly due to the inherent randomness and spatial variability of ground properties. In addition, since borehole drillings are usually carried out before tunnel excavation, the measured borehole data should be considered and reflected in the tunnel liner design practice, especially when it comes to the reliability-based design using the conditional random field theory. This paper presents an investigation of the tunnel liner performance from the perspective of probabilistic analysis and reliability-based design, and a probabilistic procedure for evaluating the tunnel liner performance is fully described. The random behavior of ground properties is accounted for by the conditional random field theory, and the performance of tunnel liner is examined via finite-difference modeling in FLAC 3D. The evaluation procedure is performed within the Monte Carlo simulation framework. An illustrative hypothesized tunnel is introduced to demonstrate the application of the probabilistic evaluation procedure, and the effects of site characterization parameters and conditioning on the tunnel liner performance are also inspected in a series of parametric studies. Before reaching conclusions, the reliability-based design of a real tunnel is performed with respect to the liner strengths and thickness, given target reliability levels, which provides some insights into a more reasonable and economical design of tunnel liner.

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“…The accuracy of the FORM approximation depends on the degree of nonlinearity of the limit state in Y space (Beck and Ávila da S., 2016). The solution is exact only for linear functions of independent Gaussian random variables (Kroetz et al, 2018;Melchers and Beck, 2018). Some alternative schemes have been proposed to solve the FORM problem in the original space of random variables X (Low and Tang, 2007, 2004, 1997.…”

Section: First-order Reliability Methods (Form)mentioning

confidence: 99%

Reliability-based design of an earth and concrete dam.

Siacara¹

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Reliability of tunnel lining design using the Hyperstatic Reaction Method

Cited by 43 publications

References 35 publications

Tunnel Failure Evolution and System Reliability Analysis Based on the β-unzipping Method

Tunnel Failure Evolution and System Reliability Analysis Based on the β-unzipping Method

Probabilistic Analysis of Tunnel Liner Performance Using Random Field Theory

Reliability-based design of an earth and concrete dam.

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