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土-岩复合地层深基坑锚索支护多目标优化方法

Multi-objective Optimization Method for Anchor Cable Support in Deep Excavations in Soil-rock Composite Formations

  • 摘要: 本文针对有限空间土-岩复合地层深基坑“变形控制难+传统支护设计经济性不足”的双重问题,提出了一种融合地质敏感性分析与多目标决策的锚索参数优化方法。以某地铁站深基坑为工程背景,首先通过精细化三维有限元模型(尺寸130 m×21 m×65 m);揭示土体层厚临界效应(临界值8.3 m)与砂土状流纹岩厚度的线性增益规律(厚度每增加1 m,坑底水平位移增加3.5 mm);其次建立以锚索预应力、水平间距、竖向排数及首排位置为变量的多目标优化函数(目标:水平位移U、地表沉降S、造价C);最后采用正交试验设计16组方案,结合AHP-熵权组合赋权法(权重:成本52.3%>位移32.1%>沉降15.6%)与灰色关联分析,量化评价方案综合性能。结果表明:最优参数组合为预应力300 kN、水平间距2.6 m、首排锚索距第二道支撑3.0 m、3道锚索竖向布置(间距4 m和7.5 m)。较原方案,成本降低了56.36%,且变形控制显著(拆撑后水平位移≤21.36 mm、沉降≤14.93 mm),安全系数K=5.395,超规范值300%。该方法突破了地质参数阈值量化与支护参数协同优化的技术瓶颈,为土-岩复合地层深基坑提供了“安全-经济”双目标均衡解。

     

    Abstract: This paper addresses the dual challenges of deformation control difficulties and insufficient economic viability in traditional support designs for deep excavations in confined soil-rock composite strata. It proposes an optimized anchor cable parameter method integrating geological sensitivity analysis with multi-objective decision-making. Using a deep excavation for a subway station as the engineering context, the study first employs a refined 3D finite element model (dimensions 130 m × 21 m × 65 m) to reveal: - A critical thickness effect for soil layers (critical value: 8.3 m) - A linear gain relationship between sandy tuff thickness and horizontal displacement (each 1 m increase in thickness increases bottom displacement by 3.5 mm) Subsequently, a multi-objective optimization function was established with variables including anchor prestress, horizontal spacing, vertical row count, and front-row position (objectives: horizontal displacement U, ground surface settlement S, and construction cost C). Finally, 16 design schemes were evaluated using orthogonal experimental design, combined with AHP-entropy weighting (cost 52.3% > displacement 32.1% > settlement 15.6%) and grey relational analysis to quantify overall performance. Results indicate the optimal parameter combination: prestressing force 300 kN, horizontal spacing 2.6 m, first-row anchor cable distance from second support 3.0 m, and three vertically arranged anchor cables (spacing 4 m and 7.5 m). Compared to the original scheme, this approach reduces costs by 56.36% while achieving significant deformation control (post-support removal horizontal displacement ≤21.36 mm, settlement ≤14.93 mm). The safety factor K=5.395 exceeds the standard value by 300%. This method overcomes technical bottlenecks in quantifying geological parameter thresholds and synergistically optimizing support parameters, providing a balanced solution for both safety and economy in deep excavations within soil-rock composite strata.

     

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