• ISSN: 1674-7461
  • CN: 11-5823/TU
  • 主管:中国科学技术协会
  • 主办:中国图学学会
  • 承办:中国建筑科学研究院有限公司

岩溶洼地FAST型弧形边坡开挖拟合与冠底位置优选

Excavation Fitting and Crown Base Position Optimization of FAST-Type Arc-Shaped Slopes in Karst Depressions

  • 摘要: 为了实现岩溶洼地场地的高效、安全和经济利用,本文基于多目标优化理论,结合洼地的地形地貌特征、地质条件及经济性等多重约束条件,对弧形边坡开挖参数进行了优化研究。首先,提出了一种球冠曲面拟合与冠底位置优选的方法,通过构建以空间利用率最大化、挖填方量最小化为目标的优化模型,对开挖参数进行优选设计,筛选出三个备选方案;其次,基于数值模拟技术分析了不同方案开挖后弧形边坡的变形、塑性区分布及应力变化情况,并设计了针对性的锚固加固方案和支护定额计算;最后,对开挖空间利用率、挖填方量、边坡稳定性及支护成本四项指标进行对比分析。研究结果表明:在考虑边坡稳定性与工程造价的前提下,对开挖布置方案进行设计优选后为最优选择。本研究为复杂岩溶洼地场地的开挖设计提供了系统的优化方法和实践指导,具有显著工程建设价值,为同类工程提供了可参考的设计思路和成本控制策略,有助于提升岩溶地貌场地利用效率,降低工程风险。

     

    Abstract: In order to achieve efficient, safe, and economical utilization of karst depression sites, this study applies multi-objective optimization theory, considering various constraints such as terrain, geological conditions, and economic factors, to optimize the excavation parameters of arc-shaped slopes. A method for spherical cap surface fitting and crown-bottom position optimization is proposed. By constructing an optimization model with the objectives of maximizing spatial utilization and minimizing excavation and fill volumes, optimal excavation parameters are selected, resulting in three alternative plans. Subsequently, numerical simulation techniques are employed to analyze the deformation, plastic zone distribution, and stress variations of the arc-shaped slopes after excavation for each plan. Targeted anchoring reinforcement solutions and support quota calculations are designed. A comparative analysis of four key indicators—spatial utilization rate, excavation and fill volumes, slope stability, and support costs—reveals that under the premise of considering slope stability and engineering cost, the optimal choice is to design and optimize the excavation layout scheme. This research provides a systematic optimization approach and practical guidance for the excavation design of complex karst depression sites, offering significant engineering value. It also presents reference design concepts and cost control strategies for similar projects, contributing to improved karst landform utilization efficiency and reduced project risks.

     

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