有限差分法模拟潜水含水层井流的水位校正与流线识别

doi:10.3799/dqkx.2025.256

有限差分法模拟潜水含水层井流的水位校正与流线识别

doi: 10.3799/dqkx.2025.256

张帅^1,2,3,4,
王旭升^1,5,
韩鹏飞^1,5, ,,
景明^2,3,4,
陈伟伟^2,3,4,
常布辉^2,3,4

1. 中国地质大学(北京)水利部地下水保护重点实验室, 北京 100083;
2. 黄河水利委员会黄河水利科学研究院, 郑州 450003;
3. 黄河实验室, 郑州 450003;
4. 中国地质大学(北京), 水资源与环境工程北京市重点实验室, 北京 100083;
5. 河南省黄河流域生态环境保护与修复重点实验室, 河南郑州 450003

基金项目:

水利部地下水保护重点实验室开放课题资助项目

国家自然科学基金项目(U2443204,42302280)

详细信息

作者简介:
张帅(1992-),男,工程师,博士,从事三维地下水循环研究工作,主要从事地下水循环模拟研究。E-mail:zhangqshuai@163.com,ORCID:0000-0001-6819-5586

通讯作者:
韩鹏飞(1988-),男,副教授,博士,主要从事地下水循环研究工作。E-mail:pfhan@cugb.edu.cn

中图分类号: P641
计量
- 文章访问数: 9
- HTML全文浏览量: 0
- PDF下载量: 0
- 被引次数: 0
出版历程
- 收稿日期: 2025-07-10
- 网络出版日期: 2025-12-03

Water Level Correction and Streamline Tracing in Phreatic Aquifer Pumping Well Flow Simulation Using the Finite Difference Method

ZHANG Shuai^1,2,3,4,
WANG Xusheng^1,5,
HAN Pengfei^{1,5
, ,},
JING Ming^2,3,4,
CHEN Weiwei^2,3,4,
CHANG Buhui^2,3,4

1. Key Laboratory of Groundwater Conservation of Ministry of Water Resources, China University of Geosciences (Beijing), Beijing 100083, China;
2. Yellow River Institute of Hydraulic Research, YRCC, Zhengzhou 450003, China;
3. Yellow River Laboratory, Zhengzhou 450003, China;
4. Beijing Key Laboratory of Water Resources and Environment Engineering, China University of Geosciences (Beijing), Beijing 100083, China;
5. Henan Key Laboratory of YB Ecological Protection and Restoration, Zhengzhou 450003, China

摘要

摘要: 中心网格有限差分法模拟水位与流线是开展众多水文地质工作的基础。为了解决潜水含水层中抽水井处水位模拟误差问题并精确识别流线。本研究基于复势理论，推导了中心网格有限差分法抽水井处水位校正公式，耦合数值模型量化分析了水位校正对流线精度的影响。结果表明，校正公式可显著提升抽水井处水位模拟精度；同时明确了当离散网格尺寸约为井半径的5倍时，无需校正即可同时保证水位与流线的模拟精度。该研究为解决数值模拟中离散化带来的模拟误差提供了理论依据与实用判据。
- 中心网格有限差分 /
- 潜水含水层 /
- 抽水井 /
- 水位 /
- 流线
Abstract: Block-centered finite difference method for simulating water levels and streamlines is the basis of numerous hydrogeological works. To address the simulation error of water levels at pumping wells in a phreatic aquifer and accurately identify streamlines, this study derives a water level correction fomula for pumping wells in the block-centered finite difference method based on complex potential theory. A coupled numerical model is developed to quantitatively anaylze the impact of water level correction on the accuracy of streamlines. The results demonstrate that the correction formula significantly improves the simulation accuracy of water levels at pumping wells. Furthermore, it is clarified that when the discrete grid size is approximately 5 times the well radius, both water level and streamline simulation accuracy can be ensured without the need for correction. This study provides a theoretical basis and pratical criterion for mitigating simulation errors caused by discretization in numerical modeling.
- Block-centered finite difference /
- Phreatic aquifer /
- Pumping well /
- Water level /
- Streamline

HTML全文

参考文献(32)

Bear J., 1979. Hydraulics of Ground Water. New York: McGraw-Hill Inc.
Campos L. M. B. D. C., 2010. Complex analysis with applications to flows and fields. CRC press.
Chen C. X., Wang X. S., Hu L. T., 2007. Emendation of Drawdown in Pumping Wells for Numerical Modeling of Groundwater flow.Journal of Hydraulic Engineering, 38(4): 481-486. (in Chinese with English abstract).
Gang S. T., Deng Y. E., 2015. Comprehensive Summary of GMS Application for Groundwater Resource Evaluation and Management.Ground Water, 37(2): 33-36. (in Chinese with English abstract).
Lerner N D., 1989. Predicting pumping water levels in single and multiple wells using regional groundwater models[J].Journal of Hydrology, 105(1-2): 39-55.
Li R. Y., 2022. Study on the three-dimensional shape and recharge sources for catchment zone of a pumping well near rivers. China University of Geosciences (Beijing), Beijing (in Chinese with English abstract).
Li X., Su S., Wen Z., et al., 2022. Numerical Analysis of Estimating Groundwater Velocity through Single-Well Push Pull Test.Earth Science,47(02):633-641. (in Chinese with English abstract).
MacMillan J. G., Schumacher J. 2015. Correction of Discretization Errors Simulated at Supply Wells[J].Groundwater, 53(4): 651-657.
Mcdonald M. G., Harbaugh A. W., 1988. A Modular Three-dimensional Finite-difference Ground-water Flow Model. US Geological Survey, 83-875.
Poeter E., Hsieh P., 2020. Graphical Construction of Groundwater Flow Nets. The Groundwater Project: Guelph, Ontario, Canada.
Pollock D. W., 1988. Semianalytical Computation of Path Lines for Finite-difference Models.Groundwater, 26(6): 743-750.
Pollock D. W., 2016. User Guide for MODPATH Version 7-A Particle Tracking Model for MODFLOW. Open-File Report 2016–1086.
PrickettT. A.,1967. Designing pumping well characteristics into electrical analog models.Groundwater,5(4):38-46.
Ramadhan M., 2015. A Semi-Analytical Particle Tracking Algorithm for Arbitrary Unstructured Grids. University of Waterloo, Waterloo.
Strack O. D., 1989. Groundwater mechanics. prentice hall.
Su S., Li X., Guo Q. et al., 2022. Effect Mechanistic of Partially Penetrating Well on Single-Well Push-Pull Tests for Groundwater Velocity Estimation.Earth Science, 49(1): 288-298. (in Chinese with English abstract).
Wang Y., Li J., Xi B., et al., 2018. Research on the Division Technology of Karst Groundwater Source Protection Areas Based on Numerical Simulation.Carsologica Sinica, 37(6): 799-809. (in Chinese with English abstract)].
Wang X. G., 2023. Experimental Study on Hydraulic Control and Remediation of Trichloroethylene Pollution in Single Well Pumping and Infiltration Groundwater. Hebei University of Engineering, HanDan(in Chinese with English abstract)].
Wang X. S., 2008. Revised Model for Finite-Difference Modeling of Flowing Artesian Wells.Earth Science, 33(01): 112-116. (in Chinese with English abstract).
Xia Q., Wang X. S., Lu L. B., 2007. Error Characteristics in MODFLOW Simulations of Well Flow.Geotechnical Investigation & Surveying, 10: 29-32+37. (in Chinese with English abstract).
Yang J. H., 2008. Comparative Analysis of Three Fundamental Numerical Computation Methods.Science & Technology Information, 35: 19+6. (in Chinese with English abstract).
Zhang S., Wang X.-S., Han P.-F., et al., 2024. New particle tracking method for 2D steady-state groundwater flow around wells: A modified algorithm using the stream function.Journal of Hydrology, 632: 130928.
陈崇希, 王旭升, 胡立堂, 2007. 地下水流数值模拟中抽水井水位的校正. 水利学报, 38(4): 481-486.
刚什婷, 邓英尔, 2015. 基于GMS在地下水资源评价与管理中的应用综述. 地下水, 37(2): 33-36.
李若怡, 2022. 傍河地下水开采井截获区的三维形态与补给来源研究. 北京:中国地质大学(北京).
李旭, 苏世林, 文章, 等. 2022. 单井注抽试验测算地下水流速的数值分析. 地球科学, 47(02): 633-641.
苏世林, 李旭, 郭强, 等. 2024. 非完整井对单井注抽试验测算地下水流速影响机理. 地球科学, 49(01): 288-298.
汪洋, 李娟, 席北斗, 等,2018. 基于数值模拟的岩溶地下水源保护区划分技术研究. 中国岩溶, 37(6): 799-809.
王新港, 2023. 单井抽出-回渗地下水水力控制及对三氯乙烯污染修复实验研究. 邯郸:河北工程大学.
王旭升, 2008. 自流井有限差分模拟的校正模型. 地球科学, 33(01): 112-116.
夏强, 王旭升, 鲁林波, 2007. 利用MODFLOW模拟井流的误差特征. 工程勘察, 10: 29-32+37.
杨建宏, 2008. 三种基本数值计算方法的对比分析研究. 科技信息, 35: 19+6.

施引文献

资源附件(0)

访问统计

点击查看大图

计量

文章访问数: 9
HTML全文浏览量: 0
PDF下载量: 0
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

有限差分法模拟潜水含水层井流的水位校正与流线识别

doi: 10.3799/dqkx.2025.256

作者简介:
张帅(1992-),男,工程师,博士,从事三维地下水循环研究工作,主要从事地下水循环模拟研究。E-mail:zhangqshuai@163.com,ORCID:0000-0001-6819-5586

通讯作者:
韩鹏飞(1988-),男,副教授,博士,主要从事地下水循环研究工作。E-mail:pfhan@cugb.edu.cn

计量

Water Level Correction and Streamline Tracing in Phreatic Aquifer Pumping Well Flow Simulation Using the Finite Difference Method

计量

目录

留言板

有限差分法模拟潜水含水层井流的水位校正与流线识别

doi: 10.3799/dqkx.2025.256

作者简介: 张帅(1992-),男,工程师,博士,从事三维地下水循环研究工作,主要从事地下水循环模拟研究。E-mail:zhangqshuai@163.com,ORCID:0000-0001-6819-5586

通讯作者: 韩鹏飞(1988-),男,副教授,博士,主要从事地下水循环研究工作。E-mail:pfhan@cugb.edu.cn

计量

出版历程

Water Level Correction and Streamline Tracing in Phreatic Aquifer Pumping Well Flow Simulation Using the Finite Difference Method

计量

出版历程

目录

作者简介:
张帅(1992-),男,工程师,博士,从事三维地下水循环研究工作,主要从事地下水循环模拟研究。E-mail:zhangqshuai@163.com,ORCID:0000-0001-6819-5586

通讯作者:
韩鹏飞(1988-),男,副教授,博士,主要从事地下水循环研究工作。E-mail:pfhan@cugb.edu.cn