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考虑空间形状的覆盖型岩溶土洞降水致陷分析

郭锐剑 陈学军 段建 唐灵明 张晓宸

郭锐剑, 陈学军, 段建, 唐灵明, 张晓宸. 考虑空间形状的覆盖型岩溶土洞降水致陷分析[J]. 西南交通大学学报, 2023, 58(2): 453-461. doi: 10.3969/j.issn.0258-2724.20210494
引用本文: 郭锐剑, 陈学军, 段建, 唐灵明, 张晓宸. 考虑空间形状的覆盖型岩溶土洞降水致陷分析[J]. 西南交通大学学报, 2023, 58(2): 453-461. doi: 10.3969/j.issn.0258-2724.20210494
GUO Ruijian, CHEN Xuejun, DUAN Jian, TANG Lingming, ZHANG Xiaochen. Analysis on Precipitation-Induced Subsidence of Covered Karst Soil Caves Regarding Spatial Shape[J]. Journal of Southwest Jiaotong University, 2023, 58(2): 453-461. doi: 10.3969/j.issn.0258-2724.20210494
Citation: GUO Ruijian, CHEN Xuejun, DUAN Jian, TANG Lingming, ZHANG Xiaochen. Analysis on Precipitation-Induced Subsidence of Covered Karst Soil Caves Regarding Spatial Shape[J]. Journal of Southwest Jiaotong University, 2023, 58(2): 453-461. doi: 10.3969/j.issn.0258-2724.20210494

考虑空间形状的覆盖型岩溶土洞降水致陷分析

doi: 10.3969/j.issn.0258-2724.20210494
基金项目: 国家自然科学基金(41967037, 41762022);国家重点研发计划(2019YFC0507502);湖南省教育厅科学研究项目(20C0497, 19B125, 19A114)
详细信息
    作者简介:

    郭锐剑(1981—),女,讲师,博士研究生,研究方向为区域性地质灾害成灾机理及其防治工程,E-mail:361093737@qq.com

    通讯作者:

    陈学军(1961—),男,教授,博士,研究方向为岩土与地下工程,E-mail:chenxj@glut.edu.cn

  • 中图分类号: P694

Analysis on Precipitation-Induced Subsidence of Covered Karst Soil Caves Regarding Spatial Shape

  • 摘要:

    为揭示覆盖型岩溶土洞降水致陷机理、洞体形状尺寸影响及极限平衡状态下内在规律,以常见直筒塌陷椭球土洞为研究对象,构建其降水致陷力学模型,依据玻义耳-马略特定律推导了土洞空腔负压计算公式,以此获得土洞塌落稳定系数表达式,并对比验证计算公式的可行性;进一步获得了极限平衡状态下土体物理力学参数、降水参数、土洞空间形状尺寸及覆土厚度之间内在关系式;基于算例开展了地下水降水参数与土洞形状尺寸参数影响、极限平衡状态下内在规律分析. 研究结果表明:初始水位高于洞顶时,土洞塌落稳定系数与地下水降深展现“Z”字形规律变化,下降稳定水位降越拱顶瞬间极易引发土洞塌陷;初始水位处于洞体时,两者呈现前陡后缓的负相关变化规律,且洞内初始水位越高,降幅越大;初始水位低于洞底时,降深影响很小. 椭球长短半轴之比对稳定系数影响符合增函数变化规律,截面离心率越大越稳定,而圆形球体则最不利;矢高和稳定系数呈线性关系,矢高增加成拱效应显著,土洞越稳定. 极限平衡状态下,初始水位一定时,降深与覆盖层厚度正相关,呈现前缓后陡变化趋势,而覆盖层厚度一定时,降深与初始水位负相关;土洞水平截面离心率越大或矢高越大,达到极限平衡状态所需地下水降深则越大,表现为前缓后陡变化规律.

     

  • 图 1  土洞降水致陷力学模型

    Figure 1.  Mechanical model of soil cave collapse induced by precipitation

    图 2  A2工程地质剖面(单位:m)

    Figure 2.  Engineering geological profile of A2 (unit: m)

    图 3  降水参数$ {h}_{0}、\Delta h $对稳定系数的影响

    Figure 3.  Influence of groundwater parameters ${h_0}$ and $\Delta h$ on stability coefficient

    图 4  $ a、b $对稳定系数的影响

    Figure 4.  Influence of size parameters a and b on stability coefficient

    图 5  $c$对稳定系数的影响

    Figure 5.  Influence of size parameter c on stability coefficient

    图 6  极限状态下降水参数与覆盖层厚度内在规律

    Figure 6.  Inherent law of precipitation parameters and overburden thickness in limit state

    图 7  极限状态下降水参数与土洞形状尺寸内在规律

    Figure 7.  Inherent law of precipitation parameters and shape and size of soil cavity in limit state

    表  1  土体物理力学参数

    Table  1.   Physical and mechanical parameters of soil

    土层γ/(kN·m−3C/kPaϕ/(°)
    填土18.0~20.032.0~40.012.0~18.0
    粉砂15.0~18.05.0~9.04.0~10.0
    17.0~23.06.0~12.012.0~15.0
    黏土18.0~20.035.0~46.018.0~25.0
    下载: 导出CSV

    表  2  土洞降水致陷计算结果

    Table  2.   Calculation results of precipitation-induced subsidence of covered karst soil cave

    编号abc/mh0/mh/mK
    抽水前抽水后
    T73.75,1.75,1.751.632.22.150.95
    T89.50,6.00,6.006.082.21.050.53
    T102.50,2.50,2.502.582.21.850.86
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-06-22
  • 修回日期:  2022-06-18
  • 网络出版日期:  2023-02-21
  • 刊出日期:  2022-07-13

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