考虑土体参数空间变异性的隧道结构地震响应概率密度演化分析

    Probabilistic density evolution analysis of seismic tunnel response considering soil spatial variability

    • 摘要: 土体参数通常表现出显著的空间变异性。对于隧道结构,其地震响应在很大程度上受到周围土体材料特性的影响。为了量化此类不确定性对结构安全的影响,本文通过改进降维谱表示法,提出了一种考虑土体参数空间变异性的隧道结构地震损伤概率分析方法。改进后的降维谱表示法仅需两个随机变量,即可生成能够合理反映土体参数统计特征随深度变化的非平稳随机场。随后,结合概率密度演化方法,揭示了土体参数空间变异条件下隧道地震响应的概率演化规律,实现了结构在不同损伤状态下超越概率的高效求解。研究结果表明,考虑土体空间变异性将导致结构响应的不确定范围显著扩大,而基于均质地层假定的传统确定性设计可能会低估局部隧道断面的损伤风险。本研究为在隧道地震响应分析中纳入土体参数的空间变异性,提供了一种兼具计算效率与结果可靠性的有效途径,为合理设定结构抗震性能的安全裕度提供科学依据。

       

      Abstract: Soil parameters typically exhibit significant spatial variability. For tunnel structures, seismic responses are strongly influenced by the properties of the surrounding soil. To quantify the impact of such uncertainty on structural safety, this paper proposes a probabilistic method for seismic damage analysis of tunnel structures that accounts for soil spatial variability, using an improved dimension‑reduction spectral representation method. The enhanced method requires only two random variables to generate a non‑stationary random field that reasonably captures the statistical depth-dependent characteristics of soil parameters. Subsequently, by incorporating the probability density evolution method, the probabilistic evolution law of tunnel seismic responses under spatially variable soil conditions is revealed, enabling efficient computation of the exceedance probabilities for different damage states. The results indicate that accounting for soil spatial variability significantly expands the uncertainty range of structural responses, whereas conventional deterministic designs that assume a homogeneous soil stratum may underestimate local damage risks in tunnel sections. This study provides an effective approach that balances computational efficiency and result reliability for incorporating soil spatial variability into tunnel seismic response analysis, thereby offering a scientific basis for rationally setting safety margins in seismic design.

       

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