ISSN 1000-3665 CN 11-2202/P

    基于变权模糊综合评判理论的桩基下岩溶顶板稳定性评价

    Stability evaluation of karst roof of pile foundation based on variable weight fuzzy comprehensive theory

    • 摘要: 常权层次分析法在评价桩基下岩溶顶板稳定性中存在准确性较低的问题。基于变权理论对评价指标的结构模型进行改进,构建一种有效的判定稳定性的数学评价方法。以岩溶发育区深圳市轨道交通三号线停车场为研究区,利用故障树分析理论得到影响桩基下岩溶顶板稳定性的主要因素,通过解析结构模型理论确定稳定性评价指标的结构模型,依据模糊数学提出的层次分析法、变权理论的综合评价方法等手段对稳定性进行评价,并与常权下的稳定性评价结果对比。结果表明:(1)基于故障树分析理论得到的稳定性评价因素,可以系统评估稳定性,确定可能发生的事件路径,识别高风险区域,克服评价因素不全面的问题;(2)引入的变权模糊综合评价方法从“惩罚”变权的机制确定了需要变权的评价因素,通过放大评价因素的影响达到准确评价现场实际情况的目的;(3)变权模型下研究区稳定性等级为“不稳定”,相较于与常权模型下“较不稳定”的评价,变权模糊综合评价模型计算结果更符合现场勘查结果。研究表明基于变权理论的桩基下岩溶顶板稳定性评价方法能反映研究区整体稳定性水平,对类似岩溶工程的前期稳定性判别具有重要的参考意义。

       

      Abstract: Regarding the lower accuracy of the Analytic Hierarchy Process (AHP) in assessing the stability of karst cave roof under pile foundations, an improved structural model of evaluation indicators based on variable weight theory was developed to establish an effective mathematical assessment method for stability determination. Focusing on the parking lot of Shenzhen Rail Transit Line 3 within a karst development area, the main factors influencing the stability of the karst cave roof under pile foundations were identified utilizing Fault Tree Analysis theory. The structural model of stability assessment indicators was delineated through theoretical analysis. Subsequently, based on Fuzzy Mathematics, a comprehensive evaluation method of stability integrated the AHP and the assessment method under variable weights was conducted to contrast the outcomes with stability assessment results under constant weights. Results indicate: (1) Factors obtained from Fault Tree Analysis theory can be used to evaluate stability systematically, identify potential event pathways, and mitigate incomplete evaluation factors. (2) The comprehensive evaluation method introduced variable weight fuzzy, employing a “penalty” mechanism for weight variation to determine the need for weight variation in assessment factors, achieves accurate on-site assessments through amplifying their influences. (3) The stability grade within the study area under the variable weight model was “unstable”, contrasting the evaluation of “relatively unstable” under the constant weight model, demonstrating that the variable weight fuzzy comprehensive evaluation model aligns more closely with on-site survey results. This study underscores that the variable weight theory-based assessment method for karst cave roof stability under pile foundations reflects the overall stability level within the research area, offering crucial insights for preliminary stability assessment in similar karst engineering endeavors.

       

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