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基于最大熵-无限边坡模型的降雨诱发浅层黄土滑坡稳定性评价方法研究

刘凡 邓亚虹 慕焕东 钱法桥

刘凡,邓亚虹,慕焕东,等. 基于最大熵-无限边坡模型的降雨诱发浅层黄土滑坡稳定性评价方法研究[J]. 水文地质工程地质,2023,50(5): 146-158 doi:  10.16030/j.cnki.issn.1000-3665.202207050
引用本文: 刘凡,邓亚虹,慕焕东,等. 基于最大熵-无限边坡模型的降雨诱发浅层黄土滑坡稳定性评价方法研究[J]. 水文地质工程地质,2023,50(5): 146-158 doi:  10.16030/j.cnki.issn.1000-3665.202207050
LIU Fan, DENG Yahong, MU Huandong, et al. A study of the stability evaluation method of rainfall-induced shallow loess landslides based on the Maxent-Sinmap slope model[J]. Hydrogeology & Engineering Geology, 2023, 50(5): 146-158 doi:  10.16030/j.cnki.issn.1000-3665.202207050
Citation: LIU Fan, DENG Yahong, MU Huandong, et al. A study of the stability evaluation method of rainfall-induced shallow loess landslides based on the Maxent-Sinmap slope model[J]. Hydrogeology & Engineering Geology, 2023, 50(5): 146-158 doi:  10.16030/j.cnki.issn.1000-3665.202207050

基于最大熵-无限边坡模型的降雨诱发浅层黄土滑坡稳定性评价方法研究

doi: 10.16030/j.cnki.issn.1000-3665.202207050
基金项目: 陕西省公益性地质调查项目(202101);国家自然科学基金项目(41772275);陕西省教育厅科学研究计划专项项目(20JK0801);陕西省自然科学基础研究计划一般项目(2022JQ-289);
详细信息
    作者简介:

    刘凡(1997-),男,博士研究生,主要从事地质灾害防治研究工作。E-mail:2020126091@chd.edu.cn

    通讯作者:

    邓亚虹(1978-),男,教授,博士研究生导师,主要从事工程地质与地质灾害防治研究工作。E-mail: dgdyh@chd.edu.cn

  • 中图分类号: P642.22

A study of the stability evaluation method of rainfall-induced shallow loess landslides based on the Maxent-Sinmap slope model

  • 摘要: 无限边坡(Sinmap)模型在评价降雨作用下浅层黄土滑坡稳定性时精度较低。针对这一问题,基于最大熵(Maxent)模型对Sinmap模型评价进行改进,构建了最大熵-无限边坡(Maxent-Sinmap)模型,评价降雨作用下区域性浅层降雨型黄土滑坡稳定性。以黄土滑坡高发区的陕西省志丹县为例,利用野外及室内相关工作获取地形、岩土体力学参数及地质灾害等相关数据,通过Maxent模型获取主要环境变量,再根据主要环境变量进行分区,通过Sinmap模型对降雨作用下不同分区的浅层黄土滑坡稳定性进行评价。研究结果表明:基于Maxent模型得到志丹县内滑坡主要受坡度、降雨量、地貌、道路缓冲区及归一化植被覆盖指数等5个指标影响,对历史灾点的贡献率分别为27.1%、20.3%、18.8%、18.7%、6.2%。相较于传统Sinmap模型,该模型不稳定区域灾点密度在小雨、中雨、大雨、暴雨和大暴雨情况下分别提高了17.26%、16.54%、17.39%、14.20%、12.96%。Maxent-Sinmap模型计算结果相较于Sinmap模型计算结果具有更大的稳定区域,且稳定区的扩大区无历史灾点分布。表明该模型具有更高精度及更可靠的结果,可以更好的为区域性浅层降雨型滑坡评价提供科学依据。
  • 图  1  志丹县历史滑坡分布图

    Figure  1.  Distribution of historical landslides in Zhidan County

    图  2  志丹县地质灾害易发性评价图

    Figure  2.  Evaluation map of geological disaster susceptibility in Zhidan County

    图  3  模型验证ROC曲线图

    Figure  3.  Model validation ROC curve

    图  4  影响因子贡献率图

    Figure  4.  Impact factor contribution

    图  5  主要影响因子响应曲线

    Figure  5.  Response of the main influence factors

    图  6  志丹县校准区图

    Figure  6.  Zoning map of calibration area in Zhidan County

    图  7  分区情况下不同降雨下面积变化

    Figure  7.  Area variation under different rainfall in the zoning situation

    图  8  分区计算模型地表稳定性指数图

    Figure  8.  Surface stability index map of the partition calculation model

    图  9  未分区情况下不同降雨下面积变化

    Figure  9.  Change in area under different rainfall without zoning

    图  11  研究区滑坡稳定性评价结果验证

    Figure  11.  Verification of landslide stability evaluation results in the study area

    图  10  未分区计算模型地表稳定性指数图

    Figure  10.  Surface stability index of the non-partitioned calculation model

    图  12  不同降雨条件下稳定区扩大区示意图

    Figure  12.  Schematic diagrams of the expansion area of the stable area under different rainfall conditions

    表  1  稳定性分级

    Table  1.   Stability classification

    稳定性级别 稳定性指数 稳定性
    1 SI≥1.5 极稳定区
    2 1.5≥SI>1.25 稳定区
    3 1.25≥SI>1.0 基本稳定区
    4 1.0≥SI>0.5 潜在不稳定区
    5 0.5≥SI>0 不稳定区
    6 SI=0 极不稳定区
    下载: 导出CSV

    表  2  不同降雨量下的T/R参数值

    Table  2.   T/R parameter values under different rainfall

    降雨级别 降雨量值/(mm·d−1 T/R下限 T/R上限
    小雨 0.1~9.9 1000 3000
    中雨 10~24.9 573 1270
    大雨 25~49.9 344 1032
    暴雨 50~99.9 172 516
    大暴雨 100~200 86 258
    下载: 导出CSV

    表  3  研究区分区岩土体物理力学参数

    Table  3.   Physical and mechanical parameters of rock and soil mass in the study area

    区域 湿度/% 黏聚力 内摩擦角/(°) 土体密度
    /(kg·m−3
    上限 下限 上限 下限
    低降雨黄土丘陵区 15 0.2 0.4 25 40 1750
    低降雨土石山区 15 0.28 0.54 31 55 1870
    高降雨黄土丘陵区 18 0.2 0.4 30 50 1520
    高降雨土石山区 18 0.28 0.54 31 55 1870
    下载: 导出CSV

    表  4  研究区总区域岩土体物理力学参数

    Table  4.   Physical and mechanical parameters of rock and soil mass in the study area

    区域 湿度/% 黏聚力 内摩擦角/(°) 土体密度
    /(kg·m−3
    上限 下限 上限 下限
    研究区 16 0.2 0.54 25 55 1728
    下载: 导出CSV

    表  5  研究区分区计算结果汇总

    Table  5.   Summary of zonal calculation results in the study area

    稳定性等级 R=8.6 mm R=15 mm R=25 mm R=50 mm R=100 mm
    面积/km2 滑坡数/处 面积/km2 滑坡数/处 面积/km2 滑坡数/处 面积/km2 滑坡数/处 面积/km2 滑坡数/处
    极稳定 2266.3 59 2108.9 45 1917.2 39 1655.7 29 1435.5 21
    稳定 478.9 46 496.9 43 507.8 27 487.6 20 413.1 13
    基本稳定 471.7 36 515.1 46 551.6 53 567.5 44 581.6 26
    潜在不稳定 409.2 58 488.7 64 614.2 75 819.7 89 984.3 101
    不稳定 56.7 11 71.1 12 88.7 16 142.9 26 243.7 44
    极不稳定 5.3 1 6.7 1 7.4 1 12.1 3 23.2 6
    下载: 导出CSV

    表  6  研究区未分区计算结果汇总

    Table  6.   Summary of calculation results without partitions in the study area

    稳定性等级 R=8.6mm R=15mm R=25mm R=50mm R=100mm
    面积/km2 滑坡数/处 面积/km2 滑坡数/处 面积/km2 滑坡数/处 面积/km2 滑坡数/处 面积/km2 滑坡数/处
    极稳定 2128.4 55 1970.3 42 1782.3 35 1545.8 27 1354.6 20
    稳定 508.1 46 516.7 44 517 30 476.7 20 392.5 14
    基本稳定 527.8 39 568.9 47 591.6 54 579.7 45 564.3 26
    潜在不稳定 554.6 70 660.4 76 822.1 89 1099.0 113 1361.4 141
    不稳定 5.8 1 8.4 2 11.7 3 23.4 6 51.7 10
    极不稳定 0 0 0 0 0 0 0.1 0 0.2 0
    下载: 导出CSV
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  • 收稿日期:  2022-07-29
  • 录用日期:  2022-10-21
  • 修回日期:  2022-10-13
  • 网络出版日期:  2023-08-29
  • 刊出日期:  2023-09-19

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