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Probability distributions of shotcrete parameters for reliability-based analyses of rock tunnel support

机译：基于可靠度的岩洞支护分析中喷射参数的概率分布

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摘要

A common support measure for underground excavations in jointed rock masses to support loose blocks is to apply a thin shotcrete layer to the periphery of the excavation and systematically install rockbolts into the surrounding rock mass. In this support system, large blocks are carried by the rockbolts and small blocks are carried by the thin shotcrete layer. To verify the shotcrete layer's load-bearing capacity and to stringently account for the large uncertainties incorporated in the variables involved in determining its capacity, analytical calculations in combination with reliability-based methods can be used. However, a lack of knowledge exists regarding the magnitude and uncertainty of shotcrete characteristics (thickness, adhesion, flexural tensile strength, residual flexural tensile strength, and compressive strength), making it difficult to apply reliability-based methods. A statistical quantification of these characteristics is therefore important to facilitate reliability-based methods in design and verification of shotcrete support. In this paper, we illustrate how shotcrete support against small loose blocks can be viewed as a correlated conditional structural system and how this system can be analyzed using reliability-based methods. In addition, we present a unique amount of data for the aforementioned variables, which are all incorporated in the design and verification of a shotcrete layer's ability to sustain loads from small loose blocks. Based on the presented data, we statistically quantify and propose suitable probability distributions for each variable. Lastly, we illustrate how the proposed probability distributions can be used in the design process to calculate the probability of exceeding the shotcrete's load-bearing capacity. Both the probabilistic quantification and the defined correlated conditional structural system along with the illustrative calculation example are followed by a discussion of their implications.
机译：节理岩体中地下挖掘以支撑松动块体的常见支撑措施是在挖掘的外围施加薄喷浆层，然后将锚杆系统地安装到周围的岩体中。在该支撑系统中，大块料由岩栓承载，小块料由薄喷浆层承载。为了验证喷射混凝土层的承载能力，并严格考虑确定其能力所涉及的变量中包含的巨大不确定性，可以使用分析计算与基于可靠性的方法相结合。但是，缺乏关于喷浆混凝土特性的强度和不确定性（厚度，附着力，抗弯抗拉强度，残余抗弯抗拉强度和抗压强度）的知识，这使得难以应用基于可靠性的方法。因此，对这些特征进行统计量化对于在喷射混凝土支护的设计和验证中促进基于可靠性的方法很重要。在本文中，我们说明了如何将对小块松散桩的喷射混凝土支撑视为相关的条件结构系统，以及如何使用基于可靠性的方法来分析该系统。此外，我们还提供了上述变量的唯一数据量，所有这些数据都结合在喷射混凝土层承受小块松土的能力的设计和验证中。基于提供的数据，我们对每个变量进行统计量化并提出合适的概率分布。最后，我们说明了如何在设计过程中使用提议的概率分布来计算超过喷射混凝土的承重能力的概率。概率量化和定义的相关条件结构系统以及说明性的计算示例都将在后面讨论它们的含义。

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  • 来源
    《Tunnelling and underground space technology》 |2019年第5期|15-26|共12页
  • 作者

    Bjureland William; Johansson Fredrik; Sjolander Andreas; Spross Johan; Larsson Stefan;

  • 作者单位

    KTH Royal Inst Technol, Dept Civil & Architectural Engn, SE-10044 Stockholm, Sweden;

    KTH Royal Inst Technol, Dept Civil & Architectural Engn, SE-10044 Stockholm, Sweden;

    KTH Royal Inst Technol, Dept Civil & Architectural Engn, SE-10044 Stockholm, Sweden;

    KTH Royal Inst Technol, Dept Civil & Architectural Engn, SE-10044 Stockholm, Sweden;

    KTH Royal Inst Technol, Dept Civil & Architectural Engn, SE-10044 Stockholm, Sweden;

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