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基于GA-BP改进随机物质点法的土质滑坡冲击风险定量评估

王宗耀,  周晓敏,  吴锐,  孙政

王宗耀, 周晓敏, 吴锐, 孙政. 基于GA-BP改进随机物质点法的土质滑坡冲击风险定量评估[J]. 应用数学和力学, 2026, 47(9): 1144-1158. doi: 10.21656/1000-0887.460137
引用本文: 王宗耀, 周晓敏, 吴锐, 孙政. 基于GA-BP改进随机物质点法的土质滑坡冲击风险定量评估[J]. 应用数学和力学, 2026, 47(9): 1144-1158. doi: 10.21656/1000-0887.460137
Wang Zongyao, Zhou Xiaomin, Wu Rui, Sun Zheng. Quantitative Assessment of Soil Landslide Impact Risk Based on the GA-BP Improved Random Material Point Method[J]. Applied Mathematics and Mechanics, 2026, 47(9): 1144-1158. doi: 10.21656/1000-0887.460137
Citation: Wang Zongyao, Zhou Xiaomin, Wu Rui, Sun Zheng. Quantitative Assessment of Soil Landslide Impact Risk Based on the GA-BP Improved Random Material Point Method[J]. Applied Mathematics and Mechanics, 2026, 47(9): 1144-1158. doi: 10.21656/1000-0887.460137

基于GA-BP改进随机物质点法的土质滑坡冲击风险定量评估

doi: 10.21656/1000-0887.460137
基金项目: 

国家自然科学基金地区科学基金项目(12262013);江西省自然科学基金杰出青年基金(20232ACB211005)

详细信息
    作者简介:

    王宗耀(2000—),男,硕士生(E-mail: 6720230245@mail.jxust.edu.cn);孙政(1986—),男,副教授,博士,博士生导师(通信作者. E-mail: sunzheng@jxust.edu.cn).

    通讯作者:

    孙政(1986—),男,副教授,博士,博士生导师(通信作者. E-mail: sunzheng@jxust.edu.cn).

  • 中图分类号: TU433

Quantitative Assessment of Soil Landslide Impact Risk Based on the GA-BP Improved Random Material Point Method

  • 摘要: 滑坡风险定量评估是实现滑坡风险管理的重要手段.现有的评估方法在准确性和适用性方面仍存在一定局限,难以有效地表征滑坡过程中的不确定性特征.Monte-Carlo模拟方法在边坡稳定性分析中的精确度已经得到业界的广泛认同,但由于计算成本高,计算时间长,其在工程实际中的应用受到了较大的限制.此外,土体参数在地质环境长期作用下呈现显著的空间变异性,而传统方法难以描述这一特性.为更真实地表征土体在空间中所呈现的变异特征,本文考虑空间变异性,基于随机场理论,发展了随机物质点法(stochastic material point method,SMPM);基于最大滑动动能、最大滑动压力、半带宽与起跳点四个定量评估指标,对土质滑坡全过程进行风险定量评估.同时,为进一步提高计算效率与预测精度,将遗传算法(genetic algorithm,GA)与BP神经网络结合,构建GA-BP神经网络模型,并将其与MC-SMPM方法相融合.该模型利用BP神经网络估计土体参数与风险定量评估指标之间的非线性关系,通过遗传算法优化网络的结构,包括隐藏层神经元数量和训练次数等关键参数,以适配土体参数特征,从而提升滑坡风险定量评估的计算效率.研究结果表明,基于GA优化的BP神经网络模型,在整体预测精度和稳定性方面均有显著提升,能够有效提高滑坡风险定量评估效率,为工程实际应用提供了一种高效、可靠的数值计算方法.
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出版历程
  • 收稿日期:  2025-07-30
  • 修回日期:  2026-07-18
  • 网络出版日期:  2026-09-24
  • 刊出日期:  2026-09-01

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