隧道工程围岩开挖渐进破坏近场动力学GPU高效算法

doi:10.3724/1000-6915.jrme.2025.0089

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摘要针对近场动力学（Peridynamics，PD）理论在隧道开挖模拟中存在的断裂参数取值困难、存储开销大、计算效率低等问题，通过理论研究、算法开发和数值试验等手段，系统研究可高效应用于隧道工程开挖围岩渐进破坏分析的PD并行算法。研究表明：经理论推导与数值验证，所得的应变能等效断裂参数取值方法可作为断裂能缺失情形下的简便替代方法；基于“点对”映射策略构建的GPU高效算法，在三维百万级质点规模模型中可显著降低近50%的存储空间，计算效率相较串行方法提升2～3个数量级；在与加拿大Mine-by隧道实测结果良好吻合的基础上，通过调整模型，分析侧压力系数和隧道断面形状对围岩损伤与位移场演化的影响，系统验证该高效算法在工程级问题中的适用性与发展前景。研究成果为隧道设计与围岩稳定性评估提供了一种高效、可靠的新型计算工具。

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	刘嘉典1
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	陈卫忠1
	刘沈华3

关键词 ：隧道工程, 近场动力学, GPU高效算法, 破坏分析, 隧道开挖

Abstract：Peridynamics (PD) encounters challenges in tunnel excavation simulations, primarily due to difficulties in determining fracture parameters, high memory consumption, and low computational efficiency. This study systematically investigates a parallel PD algorithm designed for progressive failure analysis of surrounding rock during tunnel excavation through theoretical analysis, algorithm development, and numerical experiments. The results indicate that the strain energy equivalence method for determining fracture parameters, derived from theoretical analysis and validated by numerical simulations, serves as a simplified alternative when fracture energy data is unavailable. Additionally, a GPU-accelerated algorithm based on a “point-pair” mapping strategy reduces memory usage by nearly 50% in large-scale three-dimensional models containing millions of particles, significantly improving computational efficiency by two to three orders of magnitude compared to serial implementations. Furthermore, the model, adjusted based on favorable agreement with field data from the Canadian Mine-by tunnel, analyzes the effects of the lateral pressure coefficient and tunnel cross-sectional shape on the evolution of damage and displacement fields in the surrounding rock. The findings confirm the applicability and potential of this efficient algorithm for engineering-scale problems, offering an effective and reliable computational tool for tunnel design and stability assessment of surrounding rock.

Key words： tunnelling engineering peridynamics efficient GPU algorithm failure analysis tunnel excavation

引用本文:

刘嘉典1，2，陈卫忠1，刘沈华3. 隧道工程围岩开挖渐进破坏近场动力学GPU高效算法[J]. 岩石力学与工程学报, 2025, 44(9): 2334-2344.
LIU Jiadian1, 2, CHEN Weizhong1, LIU Shenhua3. The efficient GPU algorithm for peridynamics of progressive excavation damage of surrounding rock in tunnel engineering. , 2025, 44(9): 2334-2344.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2025.0089 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I9/2334

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