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基于离散裂隙网络模型的地下水流并行模拟方法

赵敬波 刘健 周志超 季瑞利 张明 付馨雨

赵敬波, 刘健, 周志超, 季瑞利, 张明, 付馨雨. 基于离散裂隙网络模型的地下水流并行模拟方法[J]. 地质科技通报, 2023, 42(4): 55-64. doi: 10.19509/j.cnki.dzkq.tb20230078
引用本文: 赵敬波, 刘健, 周志超, 季瑞利, 张明, 付馨雨. 基于离散裂隙网络模型的地下水流并行模拟方法[J]. 地质科技通报, 2023, 42(4): 55-64. doi: 10.19509/j.cnki.dzkq.tb20230078
Zhao Jingbo, Liu Jian, Zhou Zhichao, Ji Ruili, Zhang Ming, Fu Xinyu. Parallel groundwater flow simulation method based on a discrete fracture network model[J]. Bulletin of Geological Science and Technology, 2023, 42(4): 55-64. doi: 10.19509/j.cnki.dzkq.tb20230078
Citation: Zhao Jingbo, Liu Jian, Zhou Zhichao, Ji Ruili, Zhang Ming, Fu Xinyu. Parallel groundwater flow simulation method based on a discrete fracture network model[J]. Bulletin of Geological Science and Technology, 2023, 42(4): 55-64. doi: 10.19509/j.cnki.dzkq.tb20230078

基于离散裂隙网络模型的地下水流并行模拟方法

doi: 10.19509/j.cnki.dzkq.tb20230078
基金项目: 

核设施退役及放射性废物治理专项项目 科工二司〔2022〕736号

详细信息
    作者简介:

    赵敬波(1988—), 男, 高级工程师, 主要从事水文地质与高放废物地质处置相关研究工作。E-mail: zhaojingbobriug@outlook.com

  • 中图分类号: TL942+.211;P641.2

Parallel groundwater flow simulation method based on a discrete fracture network model

  • 摘要:

    裂隙水表现为强烈的非均匀性和各向异性, 而离散裂隙网络模拟方法是目前国际上公认描述裂隙水流动规律最为合理、有效的方法之一。以我国高放废物地质处置地下实验室花岗岩场址为研究对象, 借助高性能数值计算服务器集群及并行程序, 提出了场址岩体离散裂隙网络渗流并行模拟方法。结果表明, 该方法可实现千万级别模型网络单元离散裂隙网络渗流精细化模拟, 提升了程序处理复杂问题的计算效率及能力; 建立了离散裂隙网络模型结构优化与实际情景条件下边界参数赋值方法, 保障了场址水文地质评价过程中不同尺度模型水位信息的有效传递; 模拟区域地下水位沿着裂隙呈网状结构分布, 呈现从南向北流动的趋势, 连通裂隙间的水位呈现从高到低的连续变化, 非连通裂隙的水位是非连续的; 地下水是沿着导水裂隙流动, 裂隙网络的连通性及渗透性对地下水流动特性影响明显。离散裂隙网络渗流并行数值模拟可以更为精细反映裂隙地下水动力场特征, 进一步提升裂隙介质渗流模拟预测能力, 这对深化裂隙水流动规律的认识具有重要意义。

     

  • 图 1  研究区地形图及部分钻孔位置

    Figure 1.  Topographical map of the study area and borehole locations

    图 2  研究区地质简图

    Figure 2.  Simplified geological map of the study area

    图 3  程序调用流程图

    Figure 3.  Flow chart of different program codes

    图 4  裂隙优势产状分组(等角度下半球投影)

    Figure 4.  Fracture pole orientation of the study area on an equal angle stereonet

    图 5  研究区离散裂隙网络模型

    Figure 5.  Discrete network fracture model of the study area

    图 6  模型网格剖分结果

    Figure 6.  Mesh grids of the discrete network fracture model

    图 7  离散裂隙网络模型边界结点赋值结果

    Figure 7.  Hydraulic heads of boundary nodes for the discrete network fracture model

    图 8  离散裂隙网络模型导水系数结果图

    Figure 8.  Transmissivity setting of the discrete network fracture model

    图 9  离散裂隙网络模型水位模拟结果图

    Figure 9.  Simulated hydraulic head of the discrete network fracture model

    图 10  离散裂隙网络模型地下水流速模拟结果

    Figure 10.  Simulated velocity of the discrete network fracture model

    图 11  离散裂隙网络模型溶质运移模拟结果

    Figure 11.  Mass transport simulated results of the discrete network fracture model

    图 12  不同深度离散裂隙网络模型溶质运移模拟结果切面图

    Figure 12.  Profiles of the mass transport simulated results of the discrete network fracture model at different depths

    表  1  裂隙优势产状Elliptical Fisher分布模型参数

    Table  1.   Elliptical Fisher model parameters for fracture predominarice

    优势组编号 优势倾向/(°) 优势倾角/(°) 分布模型 分布模型参数
    k R
    1 30.21 61.74 Elliptical Fisher 14.50 2.12
    2 128.3 60.21 Elliptical Fisher 15.73 1.85
    3 230.82 62.55 Elliptical Fisher 17.18 1.83
    4 297.59 62.94 Elliptical Fisher 25.16 1.79
    5 90.42 81.89 Elliptical Fisher 9.56 48.11
    6 165.21 41.65 Elliptical Fisher 15.41 1.83
    7 349.46 26.26 Elliptical Fisher 19.68 1.92
    8 341.89 63.93 Elliptical Fisher 25.67 2.00
    注:表中k为离散系数;R为椭圆模型的长轴与短轴比值
    下载: 导出CSV

    表  2  裂隙直径分布模型参数(以自然对数e为底)[42]

    Table  2.   Fracture size distribution model parameters

    优势组编号 分布模型 分布模型参数
    平均值μ 方差σ
    1 对数正态分布 0.498 5 1.022 0
    2 对数正态分布 0.642 7 0.854 4
    3 对数正态分布 3.341 0 0.133 2
    4 对数正态分布 1.755 0 0.475 6
    5 对数正态分布 0.429 9 1.310 0
    6 对数正态分布 1.722 0 0.370 4
    7 对数正态分布 0.225 1 1.433 0
    8 对数正态分布 2.063 0 0.355 9
    下载: 导出CSV

    表  3  钻孔实测裂隙及模拟结果统计信息

    Table  3.   Statistical information of borehole fracture logging and simulated results

    优势组编号 实测裂隙数量 所占百分比/% 模型中裂隙数量 所占百分比/%
    1 67 5.90 365 5.49
    2 148 13.03 1 212 18.23
    3 137 12.06 227 3.42
    4 176 15.49 1 586 23.86
    5 94 8.27 376 5.66
    6 216 19.01 1 366 20.55
    7 141 12.41 209 3.14
    8 157 13.82 1 306 19.65
    下载: 导出CSV

    表  4  不同CPU数量条件下的并行程序执行时间

    Table  4.   Running times of the parallel code with different CPU numbers

    CPU数量 网格剖分时间/s 地下水流数值模拟时间/s
    裂隙网格剖分 网格优化
    8 980.0 668.1 573.7
    16 534.0 675.9 335.5
    32 392.0 728.6 217.3
    64 315.0 718.2 144.4
    96 325.0 764.9 124.0
    下载: 导出CSV
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  • 收稿日期:  2023-02-15
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