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水力发电学报

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基于元胞自动机的均质堤坝漫顶溃决模拟

  

  • 出版日期:2026-09-03 发布日期:2026-09-03

Simulation of Homogeneous Levee Overtopping Breach Based on Cellular Automata

  • Online:2026-09-03 Published:2026-09-03

摘要: 针对传统数值模型在计算时效与模拟精度上的矛盾以及在非连续大变形与动边界问题中的求解局限,本文开展了均质堤坝漫顶溃决的快速形态模拟研究。基于元胞自动机理论构建了溃坝模型,建立耦合水头差和坡度差的水量概率分配规则,提出包含初始空间差异与历史记忆反馈机制的冲刷规则,并基于临界滑面倾角判定堤坝溃口坍塌过程。利用南京水利科学研究院大尺度物理模型试验进行验证,模型可以复现坡脚起动、陡坎发育、溯源侵蚀以及非连续坍塌等主要形态演化过程,纵剖面演化与试验观测总体一致。参数分析表明,网格尺寸决定了模型物理真实性与计算效率的平衡,基准侵蚀系数控制全局冲刷速率,缩减指数反映深层土体抗冲刷能力的衰减规律,临界坍塌角则决定了溃口展宽形态。该模型可作为溃坝风险评估和防洪应急分析中的快速形态模拟辅助工具。

Abstract: To address the trade-off between computational efficiency and simulation fidelity in conventional numerical models, as well as their limitations in resolving discontinuous large deformations and moving boundaries, this study develops a rapid morphological simulation framework for homogeneous levee overtopping breach. A breach model is constructed based on cellular automata theory, incorporating probabilistic water-distribution rules that couple hydraulic-head and topographic-gradient differences. An erosion rule integrating initial spatial heterogeneity and historical-memory feedback is proposed, and the breach-collapse process is determined using a critical slip-surface angle criterion. The model is evaluated against large-scale physical model tests conducted by the Nanjing Hydraulic Research Institute. The model reproduces the main morphological stages, including downstream-toe scour initiation, headcut development, retrogressive erosion and discontinuous collapse, and gives overall agreement with the measured longitudinal profiles. Parametric analysis shows that grid resolution governs the balance between physical fidelity and computational cost; the baseline erosion coefficient controls the global erosion rate; the reduction index characterizes the depth-dependent decay of soil erodibility; and the critical collapse angle controls breach widening. The model is intended as a rapid morphological simulation aid for dam-breach risk assessment and flood-emergency analysis.

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