CSCD来源期刊

北大中文核心期刊

中国科技核心期刊

地学领域高质量科技期刊分级T2区（2023）

世界期刊影响力指数报告Q1区（2023）

Volume 42 Issue 4
Jul.  2023
Turn off MathJax
Article Contents
Article Navigation >  Bulletin of Geological Science and Technology  > 2023  >  42(4): 65-74
Qi Yueming, Wu Jiaxin, Wang Xusheng, Zhou Lai, Dong Guiming, Liu Bo, Xu Jinpeng, Ma Chao, Zhou Pei. Mixed-well model of the relation between drawdown and water inflow in a pumping well with variable-diameter[J]. Bulletin of Geological Science and Technology, 2023, 42(4): 65-74. doi: 10.19509/j.cnki.dzkq.tb20220699
Citation: Qi Yueming, Wu Jiaxin, Wang Xusheng, Zhou Lai, Dong Guiming, Liu Bo, Xu Jinpeng, Ma Chao, Zhou Pei. Mixed-well model of the relation between drawdown and water inflow in a pumping well with variable-diameter[J]. Bulletin of Geological Science and Technology, 2023, 42(4): 65-74. doi: 10.19509/j.cnki.dzkq.tb20220699
shu

Mixed-well model of the relation between drawdown and water inflow in a pumping well with variable-diameter

doi: 10.19509/j.cnki.dzkq.tb20220699
  • 1a.

    School of Resources and Earth Sciences, China University of Mining and Technology, Xuzhou Jiangsu 221116, China

  • 1b.

    School of Environment and Spatial Informatics, China University of Mining and Technology, Xuzhou Jiangsu 221116, China

  • 2.

    School of Water Resources and Environment, China University of Geosciences(Beijing), Beijing 100083, China

  • 3.

    Shandong Provincial Geo-mineral Engineering Exploration Institute, Jinan 250014, China

  • Received Date: 22 Dec 2022
  • Accepted Date: 04 May 2023
  • Rev Recd Date: 11 Apr 2023
    Abstract
  • Objective

    Pumping tests are an important method for determining the hydrogeological parameters of aquifers and evaluating groundwater resources. For the analysis of single-well pumping tests, existing models assume that the well diameter remains constant with depth and that the aquifer is either unconfined or confined. They do not consider situations where the well diameter varies or when multiple aquifers are encountered.

    Methods

    In this study, we developed a steady-state mixed-well flow model to account for a pumping well with a variable diameter that penetrates multiple aquifers with the assumption of horizontal flow within the aquifers. The analytical solutions for the relation between pumping discharge and drawdown were derived. This study explores the methodology of using single-well steady-state pumping tests with variable-diameter wells to obtain aquifer parameters. Additionally, accurate solutions for the equivalent radius of a confined aquifer segment and alternative radius calculation formulas are proposed.

    Results

    The mixed-well flow model was applied to analyze pumping tests near the Zihe River. Based on the data from three stepped pumping tests, a parabolic relationship between pumping discharge Qw and drawdown sw was established.The model predicted a pumping discharge of 4 093.8 m3/d when the maximum drawdown sw was 25 m. The hydraulic conductivity of the unconfined aquifer was estimated to be 1.88 m/d, and the hydraulic conductivity of the confined aquifer was estimated as 0.43 m/d, with a relative error of less than 5%.

    Conclusion

    The mixed-well model serves as a theoretical foundation for predicting water yield from pumping wells in multiple aquifers system. However, it is important to acknowledge that the model's applicability is constrained by certain assumptions. In situations where rivers fully penetrate aquifers, there is a possibility of overestimating the hydraulic conductivity. On the other hand, when rivers only partially penetrate aquifers, the analytical solution may underestimate the hydraulic conductivity.

     

    • FullText(HTML)
  • loading
    • References(36)
  • [1]
    国家市场监督管理总局, 国家标准化管理委员会. 矿区水文地质工程地质勘探规范: GB/T 12719-2021)[S]. 北京: 中华人民共和国自然资源部, 2021.

    State Administration for Market Regulation, Standardization Administration of the People's Republic of China. Exploration specification of hydrogeology and engineering geology in mining areas: GB/T 12719-2021[S]. Beijing: Ministry of Watural Resources of the Republic of China, 2021(in Chinese).
    [2]
    国家煤矿安全监察局. 煤矿防治水细则[S]. 北京: 煤炭工业出版社, 2018.

    State Administration of Coal Mine Safty. Detailed rules for prevention and control of water in coal mines[S]. Beijing: China Coal Industry Publishing House, 2018(in Chinese).
    [3]
    张竞, 王旭升. 抽水井单位涌水量的多解性及其应用[J]. 工程勘察, 2014(3): 33-37. https://www.cnki.com.cn/Article/CJFDTOTAL-GCKC201403009.htm

    Zhang J, Wang X S. The multiplicity of solutions for unit water inflow of pumping well and its application[J]. Geotechnical Investigation & Surveying, 2014(3): 33-37(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-GCKC201403009.htm
    [4]
    王善堂. 松散地层钻孔涌水量预报方法研究[J]. 地下水, 2005, 27(5): 360-361. https://www.cnki.com.cn/Article/CJFDTOTAL-DXSU200505014.htm

    Wang S T. Study on prediction method of borehole water inflow in loose formation[J]. Ground Water, 2005, 27(5): 360-361(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DXSU200505014.htm
    [5]
    成胜, 许模. 云南丘北地区某隧道隧址区岩溶发育特征及涌水量预测[J]. 地下水, 2022, 44(5): 7-9, 283. https://www.cnki.com.cn/Article/CJFDTOTAL-DXSU202205003.htm

    Cheng S, Xu M. Karst development characteristics and water inflow prediction of a tunnel site in Qiubei area, Yunnan Province[J]. Ground Water, 2022, 44(5): 7-9, 283(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DXSU202205003.htm
    [6]
    Wu C, Wu X, Zhu G, et al. Predicting mine water inflow and groundwater levels for coal mining operations in the Pangpangta Coalfield, China[J]. Environmental Earth Sciences, 2019, 78(5): 130-142. doi: 10.1007/s12665-019-8098-2
    [7]
    Xu Z M, Chen T C, Li J F, et al. Defects and improvement of predicting mine water inflow by virtual large diameter well method[J]. Geofluids, 2022, 2022: 3067983.
    [8]
    Zhang K, Cao B, Lin G, et al. Using multiple methods to predict mine water inflow in the Pingdingshan No. 10 Coal Mine, China[J]. Mine Water and the Environment, 2017, 36(1): 154-160. doi: 10.1007/s10230-015-0381-1
    [9]
    王档良, 房亚飞, 邓国伟, 等. 基于改进多元回归模型与GIS的陕北凉水井矿井工作面涌水量预测[J]. 煤炭科技, 2022, 43(4): 85-92. https://www.cnki.com.cn/Article/CJFDTOTAL-META202204010.htm

    Wang D L, Fang Y F, Deng G W, et al. Prediction of water inflow in the working face of Liangshui well in northern Shaanxi based on improved multiple regression model and GIS[J]. Coal Science & Technology Magazine, 2022, 43(4): 85-92(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-META202204010.htm
    [10]
    Miladinoviĉ B, Vakanjac V R, Bukumiroviĉ D, et al. Simulation of mine water inflow: Case study of the Štavalj Coal Mine(Southwestern Serbia)[J]. Archives of Mining Sciences, 2015, 60(4): 955-969. doi: 10.1515/amsc-2015-0063
    [11]
    吴瑞芳, 刘佳. 基于新陈代谢灰色系统模型矿井涌水量预测[J]. 煤炭与化工, 2021, 44(8): 38-40, 43. https://www.cnki.com.cn/Article/CJFDTOTAL-HHGZ202108012.htm

    Wu R F, Liu J. Prediction of mine water inflow based on metabolism grey system model[J]. Coal and Chemical Industry, 2021, 44(8): 38-40, 43(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-HHGZ202108012.htm
    [12]
    Dong H B, Tong M M, Liao H M, et al. Study of prediction method of mine water emission based on grey system theory[C]//Anon. Proceedings of 2010 Chinese Control and Decision Conference, [S. l. ]: [s. n. ], 2010: 3947-3950.
    [13]
    刘晓丹, 潘国营. 基于三种时间序列模型的矿井涌水量预测[J]. 矿业安全与环保, 2022, 49(2): 91-95. https://www.cnki.com.cn/Article/CJFDTOTAL-ENER202202016.htm

    Liu X D, Pan G Y. Prediction of mine water inflow based on three time series models[J]. Mining Safety & Environmental Protection, 2022, 49(2): 91-95(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ENER202202016.htm
    [14]
    王晓蕾. 煤矿开采矿井涌水量预测方法现状及发展趋势[J]. 科学技术与工程, 2020, 20(30): 12255-12267. https://www.cnki.com.cn/Article/CJFDTOTAL-KXJS202030002.htm

    Wang X L. Current situation and development trend of water inflow prediction methods for coal mines[J]. Science Technology and Engineering, 2020, 20(30): 12255-12267(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-KXJS202030002.htm
    [15]
    李建林, 高培强, 王心义, 等. 基于混沌-广义回归神经网络的矿井涌水量预测[J]. 煤炭科学技术, 2022, 50(4): 149-155. https://www.cnki.com.cn/Article/CJFDTOTAL-MTKJ202204015.htm

    Li J L, Gao P Q, Wang X Y, et al. Prediction of mine water inflow based on chaos generalized regression neural network[J]. Coal Science and Technology, 2022, 50(4): 149-155(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-MTKJ202204015.htm
    [16]
    梁犁丽, 胡宇丰, 柳长顺, 等. 矿井涌水量多方法预测与对比分析[J]. 人民黄河, 2021, 43(增刊2): 66-68. https://www.cnki.com.cn/Article/CJFDTOTAL-RMHH2021S2027.htm

    Liang L L, Hu Y F, Liu Z S, et al. Multi method prediction and comparative analysis of mine water inflow[J]. Yellow River, 2021, 43(S2): 66-68(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-RMHH2021S2027.htm
    [17]
    彭伏, 常勇, 郑秀清, 等. 地下水模型参数不确定性对晋祠泉流量预测的影响[J]. 水电能源科学, 2018, 36(10): 53-57. https://www.cnki.com.cn/Article/CJFDTOTAL-SDNY201810013.htm

    Peng F, Chang Y, Zheng X Q, et al. Influence of groundwater model parameter uncertainty on Jinci spring discharge prediction[J]. Water Resources and Power, 2018, 36(10): 53-57(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SDNY201810013.htm
    [18]
    成建梅, 罗伟, 徐子东, 等. 火山岩体围岩隧道断层带涌水量计算方法综合研究: 以青云山隧道为例[J]. 地质科技情报, 2015, 34(6): 193-199. https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201506028.htm

    Cheng J M, Luo W, Xu Z D, et al. Comprehensive study on calculation method of water inflow in fault zone of tunnel surrounding volcanic rock: Taking Qingyunshan tunnel as an example[J]. Geological Science and Technology Information, 2015, 34(6): 193-199(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201506028.htm
    [19]
    来永伟. "一孔多含水层分抽"技术应用研究[J]. 中国煤炭地质, 2022, 34(增刊2): 57-61. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGMT2022S2013.htm

    Lai Y W. Research on the application of "separate pumping in one hole with multiple aquifers" technology[J]. Coal Geology of China, 2022, 34(S2): 57-61(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGMT2022S2013.htm
    [20]
    陈崇希. 地下水混合井流解析模型[J]. 水文地质工程地质, 2012, 39(5): 1-7. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201205000.htm

    Chen C X. Analytical model of groundwater mixed well flow[J]. Hydrogeology & Engineering Geology, 2012, 39(5): 1-7(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201205000.htm
    [21]
    齐跃明, 孙箐彬, 许天阳, 等. 一种确定多层含水层混合抽水等效井半径的方法[P]. 中国:

    ZL 2019 1 0039445.3, 2022-9-16. Qi Y M, Sun J B, Xu T Y, et al. A method for determining the equivalent well radius of mixed pumping in multilayer aquifers[P]. China: ZL 2019 1 0039445.3, 2022-9-16(in Chinese).
    [22]
    Kooper J. Beweging van het water in den bodem bij onttrekking door bronnen[J]. De Ingenieur, 1914, 29(38): 697-706.
    [23]
    Kochina P Y. Theory of ground water movement: by P. Ya. Polubarinova-Kochina, translated from the Russian by J.M. Roger de Wiest[M]. Princeton: Princeton University Press, 1962: 377-390.
    [24]
    Hemker C J. Steady groundwater flow in leaky multiple-aquifer systems[J]. Journal of Hydrology, 1984, 72(3/4): 355-374.
    [25]
    Hunt B. Flow to a well in a multiaquifer system[J]. Water Resources Research, 1985, 21(11): 1637-1641.
    [26]
    Maciek Lubczynski J G. Modeling of complex multi-aquifer systems for groundwater resources evaluation: Swidnica study case(Poland)[J]. Hydrogeology Journal, 2005, 13(4): 627-639.
    [27]
    Jaworska Szulc B. Groundwater flow modelling of multi-aquifer systems for regional resources evaluation: The Gdansk hydrogeological system, Poland[J]. Hydrogeology Journal, 2009, 17(6): 1521-1542.
    [28]
    陈崇希, 林敏, 成建梅. 地下水动力学: 第5版[M]. 北京: 地质出版社, 2011.

    Chen C X, Lin M, Cheng J M. Groundwater dynamics: Fifth Edition[M]. Beijing: Geological Publishing House, 2010(in Chinese).
    [29]
    薛禹群, 吴吉春. 地下水动力学: 第3版[M]. 北京: 地质出版社, 2010.

    Xue Y Q, Wu J C. Groundwater dynamics: Third Edition[M]. Beijing: Geological Publishing House, 2010(in Chinese).
    [30]
    马超, 孙箐彬, 邵光宇, 等. 淄河源区含水层介质特征及富水规律研究[J]. 干旱区资源与环境, 2020, 34(12): 173-180. https://www.cnki.com.cn/Article/CJFDTOTAL-GHZH202012026.htm

    Ma C, Sun J B, Shao G Y, et al. Multi method prediction and comparative analysis of mine water inflow[J]. Journal of Arid Land Resources and Environment, 2020, 34(12): 173-180(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-GHZH202012026.htm
    [31]
    林旺辉, 齐跃明, 邵光宇, 等. 谢家店水源地地质构造特征及其水文地质意义[J]. 中国科技论文, 2021, 16(9): 935-942. https://www.cnki.com.cn/Article/CJFDTOTAL-ZKZX202109003.htm

    Lin W H, Qi Y M, Shao G Y, et al. Geological structure characteristics of Xiejiadian water source area and its hydrogeological significance[J]. China Sciencepaper, 2021, 16(9): 935-942(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZKZX202109003.htm
    [32]
    袁冬梅, 齐跃明, 王俊萍, 等. 岩溶地下水源地的可开采资源量计算: 以淄博市谢家店水源地为例[J]. 科学技术与工程, 2020, 20(19): 7589-7595. https://www.cnki.com.cn/Article/CJFDTOTAL-KXJS202019003.htm

    Yuan D M, Qi Y M, Wang J P, et al. Calculation of exploitable resources in karst groundwater source area: Taking Xiejiadian water source area in Zibo City as an example[J]. Science Technology and Engineering, 2020, 20(19): 7589-7595(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-KXJS202019003.htm
    [33]
    Hunt B. Solutions for steady groundwater flow in multi-layer aquifer systems[J]. Transport in Porous Media, 1986(1): 419-429.
    [34]
    陈崇希, 唐仲华. 地下水流动问题数值方法[M]. 武汉: 中国地质大学出版社, 1990.

    Chen C X, Tang Z H. Numerical method of groundwater flow problems[M]. Wuhan: China University of Geosciences Press, 1990(in Chinese).
    [35]
    陈崇希, 王旭升, 胡立堂. 地下水流数值模拟中抽水井水位的校正[J]. 水利学报, 2007, 38(4): 481-485. https://www.cnki.com.cn/Article/CJFDTOTAL-SLXB200704015.htm

    Chen C, Wang X S, Hu L T. Emendation of drawdown in pumping wells for numerical modeling of groundwater flow[J]. Journal of Hydraulic Engineering, 2007, 38(4): 481-485(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SLXB200704015.htm
    [36]
    陈崇希, 林敏, 叶善士, 等. 地下水混合井流的理论及应用[M]. 武汉: 中国地质大学出版社, 1998.

    Chen C X, Lin M, Ye S S, et al. Theory of multi-layer mixed well flow and its application[M]. Wuhan: China University of Geosciences Press, 1998: 1-43(in Chinese).
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article Views(455) PDF Downloads(69) Cited by()
    Proportional views
    Related

    Copyright © 2010Editorial Department of Bulletin of Geological Science and Technology

    Supported by: Beijing Renhe Information Technology Co., Ltd.    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return