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二维承压非稳定流水均衡区间的数值模拟

董贵明 王颖 詹红兵 田娟 李嘉宁 代丽娜

董贵明, 王颖, 詹红兵, 田娟, 李嘉宁, 代丽娜. 二维承压非稳定流水均衡区间的数值模拟[J]. 地质科技通报, 2023, 42(4): 75-82. doi: 10.19509/j.cnki.dzkq.tb20230028
引用本文: 董贵明, 王颖, 詹红兵, 田娟, 李嘉宁, 代丽娜. 二维承压非稳定流水均衡区间的数值模拟[J]. 地质科技通报, 2023, 42(4): 75-82. doi: 10.19509/j.cnki.dzkq.tb20230028
Dong Guiming, Wang Ying, Zhan Hongbin, Tian Juan, Li Jianing, Dai Lina. Numerical simulation of the water budget interval for unsteady two-dimensional confined flow[J]. Bulletin of Geological Science and Technology, 2023, 42(4): 75-82. doi: 10.19509/j.cnki.dzkq.tb20230028
Citation: Dong Guiming, Wang Ying, Zhan Hongbin, Tian Juan, Li Jianing, Dai Lina. Numerical simulation of the water budget interval for unsteady two-dimensional confined flow[J]. Bulletin of Geological Science and Technology, 2023, 42(4): 75-82. doi: 10.19509/j.cnki.dzkq.tb20230028

二维承压非稳定流水均衡区间的数值模拟

doi: 10.19509/j.cnki.dzkq.tb20230028
基金项目: 

国家自然科学基金项目 41202179

江苏省生态环境保护地下水监测监控与污染控制重点实验室开放课题 GWKL2201

详细信息
    作者简介:

    董贵明(1979—), 男, 副教授, 主要从事地下水数值模拟研究工作。E-mail: guiming14432@126.com

  • 中图分类号: P641

Numerical simulation of the water budget interval for unsteady two-dimensional confined flow

  • 摘要:

    由于水文地质条件的复杂性和建模工作投入的有限性, 地下水数值模型往往存在不确定性。近50年来, 随机方法是其不确定性分析的主要方法之一。区间不确定性与随机不确定性不同, 是将水文地质参数等看做区间(范围), 而不再考虑其随机特征。从区间不确定性角度出发, 以非稳定二维承压水流为例, 提出了在已知水文地质参数等为区间的情况下, 基于一阶摄动展开的地下水均衡项区间的数值模拟方法。基于地下水流和污染物迁移三维数值模拟程序GFModel实现了这种方法。算例分析表明, 本研究方法当参数变化率在0.1以内的时候, 偏差相对误差整体上可以控制在10%以内, 该方法的计算效率明显高于等间距连续采样法。该方法的结果中不包含随机统计信息, 但在已知水文地质参数等为区间的情况下, 计算出水均衡项的区间, 将能在地下水资源的利用和保护决策中提供一定的理论依据。

     

  • 图 1  GFModel主要模块及其关系图

    Figure 1.  Main modules of GFModel and their relationship diagram

    图 2  模型渗透系数分区图

    Figure 2.  Zonation of hydraulic conductivities for the groundwater flow model

    图 3  不同时段地下水均衡区间对比

    a, b, c.变化率为0.1; d, e, f.变化率为0.2; g, h, i.变化率为0.3

    Figure 3.  Comparison of the groundwater budget interval in different time

    表  1  理想模型含水层各项参数设定

    Table  1.   Aquifer parameter setting of the hypothetical model

    参数 参数值 参数 参数值
    含水层厚度/m 20 定水头边界水头/m 70
    初始水头/m 80 水头/m 80
    顶板高程/m 20 GHB边界 渗透系数/(m·d-1) 6
    底板高程/m 0 距离倒数/m-1 0.01
    贮水率/m-1 1×10-4
    下载: 导出CSV

    表  2  各分区渗透系数数值

    Table  2.   Hydraulic conductivity setting of each zone

    分区号 1 2 3 4 5
    渗透系数/(m·d-1) 7 4 9 5 3
    下载: 导出CSV

    表  3  各分区观测井信息

    Table  3.   Observation well information for each zone

    观测井编号 X/m Y/m 观测井编号 X/m Y/m
    O-1 25 78 O-4 74 45
    O-2 21 26 O-5 66 72
    O-3 61 20
    下载: 导出CSV

    表  4  理想算例水均衡项(水量单位:m3)

    Table  4.   Groundwater budget in the hypothetical model

    时段 抽水量 GHB边界侧向补给量 定水头边界侧向补给量 弹性释水量 均衡误差/ 10-2
    1 -5.00 5.06 -88.91 -88.85 0.00
    2 -5.00 7.24 -40.33 -38.09 0.00
    3 -5.00 8.48 -23.59 -20.11 0.00
    4 -5.00 9.22 -15.49 -11.26 0.00
    5 -5.00 9.67 -11.10 -6.43 0.00
    6 -5.00 9.93 -8.63 -3.70 0.00
    7 -5.00 10.09 -7.22 -2.13 0.00
    8 -5.00 10.18 -6.41 -1.23 0.00
    9 -5.00 10.23 -5.94 -0.71 0.00
    10 -5.00 10.26 -5.67 -0.41 0.00
    总计 -50.00 90.35 -213.30 -172.95 0.00
    注:1.水量流入模拟区为+,流出为-;2.均衡误差=边界侧向补给量(GHB边界+定水头边界)-弹性释水量+抽水量
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-01-17
  • 录用日期:  2023-04-07
  • 修回日期:  2023-03-31

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