松散承压含水层水位的同震响应实验与数值模拟

翟泽宇 谷洪彪 张艳 孔慧敏 迟宝明

翟泽宇,谷洪彪,张艳,孔慧敏,迟宝明. 2023. 松散承压含水层水位的同震响应实验与数值模拟. 地震学报,45(1):29−45 doi: 10.11939/jass.20210149
引用本文: 翟泽宇,谷洪彪,张艳,孔慧敏,迟宝明. 2023. 松散承压含水层水位的同震响应实验与数值模拟. 地震学报,45(1):29−45 doi: 10.11939/jass.20210149
Zhai Z Y,Gu H B,Zhang Y,Kong H M,Chi B M. 2023. Experiment and numerical simulation of co-seismic water level response in unconsolidated confined aquifer. Acta Seismologica Sinica,45(1):29−45 doi: 10.11939/jass.20210149
Citation: Zhai Z Y,Gu H B,Zhang Y,Kong H M,Chi B M. 2023. Experiment and numerical simulation of co-seismic water level response in unconsolidated confined aquifer. Acta Seismologica Sinica45(1):29−45 doi: 10.11939/jass.20210149

松散承压含水层水位的同震响应实验与数值模拟

doi: 10.11939/jass.20210149
基金项目: 国家自然科学基金(41877205)资助
详细信息
    通讯作者:

    谷洪彪,博士,教授,主要从事地震地下流体研究,e-mail:hongbiaosw@126.com

  • 中图分类号: P315.723

Experiment and numerical simulation of co-seismic water level response in unconsolidated confined aquifer

  • 摘要: 为深入理解井水位同震响应机理,本文开展了向完整井-松散含水层系统输入由不同频率和振幅(加速度)组成的正弦波荷载的振动台实验。以实验模型为物理模型,建立了振动作用下松散承压含水层中孔隙水压力响应的流固耦合模型和含水层水流与井流的相互作用模型,并运用多物理场耦合模拟软件COMSOL Multiphysics对实验过程进行了数值模拟。实验中观测到的四种典型水位变化形态与野外场地同震井水位变化形态相似。数值模拟结果显示,本研究建立的数学模型能较好地反映松散承压含水层中孔隙水压力和水位的响应情况。本文研究对解释地下水同震响应机制、岩体渗流稳定性和安全问题具有重要意义。

     

  • 图  1  实验装置示意图(单位:m)

    Figure  1.  Diagram of experimental device (unit:m)

    图  2  实验所记录的典型井水位变化形态(以G2井为例)

    (a) 振荡;(b) 上升;(c) 下降;(d) 阶变

    Figure  2.  Typical change forms of well water level in experiments (taking well G2 as an example)

    (a) Oscillation;(b) Rise;(c) Drop;(d) Step-like change

    图  3  初始平衡状态下承压含水层模型剖面图

    Figure  3.  Profile of confined aquifer model at initial equilibrium state

    图  4  压力扰动井-含水层系统的概念模型

    Figure  4.  Conceptual model of the well-aquifer system disturbing by a harmonic pressure

    图  5  井流运动示意图

    (a) 静止状态;(b) 运动状态

    Figure  5.  Schematic diagram of well flow

    (a) Stationary state;(b) Motion state

    图  6  工况1中孔隙水压力的实测值(a)与模拟值(b)时程变化对比图

    Figure  6.  Comparison diagram of time history changes between measured (a) and simulated (b) pore water pressure values in working condition 1

    图  7  工况2的孔隙水压力实测值(a)与模拟值(b)时程变化对比

    Figure  7.  Comparison diagram of time history changes between measured (a) and simulated (b) pore water pressure values in working condition 2

    图  8  工况3中孔隙水压力的实测值(a)与模拟值(b)时程变化对比图

    Figure  8.  Comparison diagram of time history changes between measured (a) and simulated (b) pore water pressure values in working condition 3

    图  9  工况4中孔隙水压力的实测值(a)与模拟值(b)时程变化对比图

    Figure  9.  Comparison diagram of time history changes between measured (a) and simulated (b) pore water pressure values in working condition 4

    图  10  工况5中孔隙水压力的实测值(a)与模拟值(b)时程变化对比图

    Figure  10.  Comparison diagram of time history changes between measured (a)and simulated (b) pore water pressure values in working condition 5

    图  11  工况6中孔隙水压力的实测值(a)与模拟值(b)时程变化对比图

    Figure  11.  Comparison diagram of time history changes between measured (a) and simulated (b) pore water pressure values in working condition 6

    图  12  G2井中各工况的水位的实测值与模拟值时程变化对比图

    Figure  12.  Comparison diagram of time history changes between measured and simulated water levels in well G2

    图  13  孔隙水压力(a)和井水位(b)的模拟值与实测值误差分析对比图

    Figure  13.  Comparison diagram of error analysis between simulated and experimental measured values of pore water pressure (a)and groundwater level (b)

    表  1  正弦波的振动参数

    Table  1.   Shaking parameters of different sine waves

    工况编号频率/Hz加速度/g加载时间/s工况编号频率/Hz加速度/g加载时间/s
    1 0.5 0.1 35 4 5 0.25 35
    2 2 0.25 35 5 10 0.25 35
    3 5 0.15 35 6 15 0.15 35
    注:1g=9.81 m/s2
    下载: 导出CSV

    表  2  数值模拟中的参数取值

    Table  2.   Parameters used in numerical experiments.

    参数单位数值
    弹性模量$E$Pa2.63×1010
    泊松比$\upsilon $10.25
    渗透系数$K$m/d33
    孔隙度$n$10.398
    ${{{\rm{Biot}}'{\rm{s}}} }$系数11
    固相密度$\;{\rho _{\rm{s}}}$kg/m32 650
    液相密度$\;{\rho _{\rm{f}}}$kg/m31 000
    固相体积模量${E_{\rm{s}}}$Pa1.56×1010
    液相体积模量${E_{\rm{f}}}$Pa1×108
    储水率${S_{ {\rm{s} }} }$11×10−3
    动力黏度系数$\;\mu$Pa·s1×10−4
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-09-14
  • 修回日期:  2021-12-23
  • 网络出版日期:  2023-01-03
  • 刊出日期:  2023-01-17

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