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

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

1.
江苏大学土木工程与力学学院，江苏镇江 212013
2.
中国地质大学工程学院，湖北武汉 430074
3.
浙江大学海洋学院，浙江舟山 316021

基金项目: 国家自然科学基金项目（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
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- 被引次数: 0
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
- 刊出日期: 2022-11-25

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

1.
Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China
2.
Faculty of Engineering, China University of Geosciences, Wuhan 430074, China
3.
Ocean College, Zhejiang University, Zhoushan 316021, China

摘要

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.
- 水位下降 /
- 土力学 /
- 连续排水边界 /
- 界面参数 /
- 解析解
Abstract:
In order to investigate the influence of the drainage boundary, which can better reflect the actual permeability, on the land subsidence caused by over-exploitation of groundwater, firstly, a one-dimensional consolidation model of aquitard caused by the dropping of groundwater table in phreatic aquifer with continuous drainage boundary was established by introducing the continuous drainage boundary, where the pore pressure decayed exponentially with time. Secondly, the general analytical solutions of the model and the analytical solutions of two special dewatering models for the instantaneous dropping of the groundwater table and the single-stage and constant-rate dropping of the groundwater table were obtained by using the method of separate variables. Then, the correctness of the analytical theory in this paper was preliminarily verified by the degeneracy of the analytical solutions under certain conditions. Finally, the single-stage and constant-rate dropping of the groundwater table was taken as an example, and the consolidation curves of the aquitard under different interface parameters B were calculated based on the analytical solutions. In addition, the influence of interface parameter B on the consolidation behaviors was analyzed emphatically. The results show that the maximum error rate is 13% by comparing the theoretically calculated settlement curve with the experimental settlement curve, which further indicates that the continuous drainage boundary is closer to the actual permeable boundary. Furthermore, larger interface parameter B indicates (better water permeability of the drainage boundary) a faster pore pressure dissipation rate, faster consolidation rate, and shorter consolidation time, but the final consolidation state is not affected.
- dropping of groundwater table /
- soil mechanics /
- continuous drainage boundary /
- interface parameter /
- analytical solution

HTML全文

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

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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

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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]

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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

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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

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图 6 B对沉降量的影响

Figure 6. Influence of B on settlement

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图 7 B对固结度的影响

Figure 7. Influence of B on consolidation degree

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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

γ_sat/（kN·m⁻³） 20
γ/（kN·m⁻³） 18
γ_w/（kN·m⁻³） 10
H/m 10
m_v/MPa⁻¹ 0.1
T_vc 0.1
h_c/m 5

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参考文献(23)

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