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连续排水边界下抽水引发的弱透水层固结解

江留慧 李传勋 吴文兵 梅国雄

江留慧, 李传勋, 吴文兵, 梅国雄. 连续排水边界下抽水引发的弱透水层固结解[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20220473
引用本文: 江留慧, 李传勋, 吴文兵, 梅国雄. 连续排水边界下抽水引发的弱透水层固结解[J]. 西南交通大学学报. doi: 10.3969/j.issn.0258-2724.20220473
JIANG Liuhui, LI Chuanxun, WU Wenbing, MEI Guoxiong. Consolidation Analysis of Aquitard Induced by Dropping of Groundwater Table with Continuous Drainage Boundary[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20220473
Citation: JIANG Liuhui, LI Chuanxun, WU Wenbing, MEI Guoxiong. Consolidation Analysis of Aquitard Induced by Dropping of Groundwater Table with Continuous Drainage Boundary[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20220473

连续排水边界下抽水引发的弱透水层固结解

doi: 10.3969/j.issn.0258-2724.20220473
基金项目: 国家自然科学基金(51878320)
详细信息
    作者简介:

    江留慧(1994—),女,实验师,硕士,研究方向为岩土工程,E-mail:jlh134606@163.com

    通讯作者:

    梅国雄(1975—),男,教授,博士,研究方向为岩土工程,E-mail:meiguox@163.com

  • 中图分类号: TU46

Consolidation Analysis of Aquitard Induced by Dropping of Groundwater Table with Continuous Drainage Boundary

  • 摘要:

    为探究更能反映实际透水能力的排水边界对超采地下水导致的地面沉降问题的影响,首先,通过引入孔压随时间指数衰减的连续排水边界,建立连续排水边界下潜水层水位变化引发的下卧弱透水层一维固结模型;其次,采用分离变量法获得其模型普遍解析解答以及水位瞬时下降和水位单极等速下降2种特殊降水模式的解析解;然后,通过特定条件下解析解的退化初步验证本文解析理论的正确性;最后,以水位单级等速下降为例,利用本文解计算不同界面参数下弱透水层的固结曲线,着重分析界面参数对固结性状的影响. 结果表明:理论计算的沉降曲线与室内试验沉降曲线对比,最大误差为13%,进一步说明连续排水边界更贴合实际透水边界;界面参数越大(排水边界透水性越好),孔压消散速率越快,固结速率越快,越早完成固结,但其并不影响最终固结状态.

     

  • 图 1  连续排水边界下潜水层降水引发的弱透水层一维固结示意

    Figure 1.  One-dimensional consolidation of aquitard caused by the dropping of groundwater table in phreatic aquifer with continuous drainage boundary

    图 2  水位下降值随时间变化示意

    Figure 2.  Variation of the dropping of groundwater table with time

    图 3  本文解与文献[22]试验结果的沉降对比

    Figure 3.  Comparison of settlement between solutions in this paper and experimental results in reference [22]

    图 4  B对超静孔压沿深度分布曲线的影响

    Figure 4.  Influence of B on distribution curves of excess pore pressure with depth

    图 5  B对超静孔压随时间发展曲线的影响

    Figure 5.  Influence of B on development curves of excess pore pressure with time

    图 6  B对沉降量的影响

    Figure 6.  Influence of B on settlement

    图 7  B对固结度的影响

    Figure 7.  Influence of B on consolidation degree

    表  1  固结性状分析采用的模型参数

    Table  1.   Model parameters adopted in consolidation behavior analysis

    参数数值
    砂土饱和重度 γsat/(kN·m−320
    砂土天然重度 γ/(kN·m−318
    水的重度 γw/(kN·m−310
    弱透水层厚度 H/m10
    体积压缩系数 mv/MPa−10.1
    无量纲时间因子 Tvc0.1
    水位下降终值 hc/m5
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出版历程
  • 收稿日期:  2022-07-05
  • 修回日期:  2022-11-20
  • 网络出版日期:  2023-12-04

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