Volume 41 Issue 1
Jan.  2022
Turn off MathJax
Article Contents
Zhang Renquan, Liang Xing, Jin Menggui, Luo Mingming. Preliminary discussion on the principle of minimum energy consumption rate controlling hierarchical groundwater flow systems[J]. Bulletin of Geological Science and Technology, 2022, 41(1): 11-18. doi: 10.19509/j.cnki.dzkq.2022.0002
Citation: Zhang Renquan, Liang Xing, Jin Menggui, Luo Mingming. Preliminary discussion on the principle of minimum energy consumption rate controlling hierarchical groundwater flow systems[J]. Bulletin of Geological Science and Technology, 2022, 41(1): 11-18. doi: 10.19509/j.cnki.dzkq.2022.0002

Preliminary discussion on the principle of minimum energy consumption rate controlling hierarchical groundwater flow systems

doi: 10.19509/j.cnki.dzkq.2022.0002
  • Received Date: 14 Nov 2021
    Available Online: 02 Mar 2022
  • In the early 1960s, Tóth obtained hierarchical groundwater flow systems by using analytical solution based on given-head upper boundary, which is a milestone breakthrough in hydrogeology and successfully solved a series of theoretical and practical problems.However, the defects of Tóth's analytical solution have been followed for a long time such as focusing solely on mathematical simulation and ignoring the physical mechanism; taking terrain control of water table as a universal law; and ignoring the distortion of the mathematical simulation based on given-head upper boundary.These shortcomings, especially the lack of the physical mechanisms exploration, not only hindered the development of Tótian theory itself, but also made the theory difficult to be understood, so that the theory has not being widely applied yet by the international hydrogeological community.This paper proposes an expression for the minimum energy consumption rate of groundwater flow referring to the principle of minimum energy consumption rate applied in river dynamics.Based on the exited results of "numerical simulation of groundwater flow patterns using flux as upper boundary", the physical mechanism is further explored, and it is concluded that groundwater flow follows the principle of minimum energy consumption rate.

     

  • loading
  • [1]
    Tóth J. Theoretical analysis of groundwater flow in small drainage basin[J]. Journal of Geophysical Research, 1963, 67(11): 4375-4387.
    [2]
    Tóth J. Groundwater flow systems and modern hydrogeology: The story of a half century[C]//Anon. Proceedings of the International Symposium on Regional Groundwater Flow: Theory, Applications and Future Development, Xi'an, China. [S. l. ]: [s. n. ], 2013.
    [3]
    Zhang R Q, Liang X, Jin M G. Tóthian theory is the paradigm of modern hydrogeology[C]//Anon. International Symposium on Hierarchical Flow Systems in Karst Regions. Budapest, Hungary. [S. l. ]: [s. n. ], 2013: 147.
    [4]
    Haitjema H M, Mitchell-Bruker S. Are water tables a subdued replica of the topography?[J]. Groundwater, 2005, 43(6): 781-786.
    [5]
    Liang X, Quan D, Jin M G, et al. Numerical simulation of groundwater flow patterns using flux as upper boundary[J]. Hydrological Process, 2013, 27(24): 3475-3483. doi: 10.1002/hyp.9477
    [6]
    徐国宾, 练继建. 流体最小熵产生原理与最小能耗率原理[J]. 水利学报, 2003(5): 35-40. https://www.cnki.com.cn/Article/CJFDTOTAL-SLXB200305006.htm

    Xu G B, Lian J J. Theories of the minimum rate of energy dissipation and the minimum entropy production of flow[J]. Journal of Hydraulic Engineering, 2003(5): 35-40(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SLXB200305006.htm
    [7]
    Yang C T, Song C C S. The theory of energy dissipation[J]. Journal of the Hydraulics Division, 1979, 1105(7): 769-784.
    [8]
    黄文典, 王兆印. 长江中下游的河床纵剖面演变分析及预测[J]. 清华大学学报: 自然科学版, 2007, 47(12): 2131-2134. doi: 10.3321/j.issn:1000-0054.2007.12.011

    Huang W D, Wang Z Y. Fluvial process forecasting for the middle and lower reaches of the Yangtze River[J]. Tsinghua Science and Technology: Natural Science Edition, 2007, 47(12): 2131-2134(in Chinese with English abstract). doi: 10.3321/j.issn:1000-0054.2007.12.011
    [9]
    熊治平. 河流最小能耗原理及其应用译文集[M]. 武汉: 武汉大学出版社, 1988.

    Xiong Z P. Principles and applications of minimum energy consumption in rivers[M]. Wuhan: Wuhan University Press, 1988(in Chinese).
    [10]
    周冉. 最小能耗率原理及在河流动力学中的运用[J]. 科技与创新, 2014, 14: 119-120. https://www.cnki.com.cn/Article/CJFDTOTAL-KJYX201414091.htm

    Zhou R. The Minimumrate of energy dissipation and the use of river dynamics[J]. Journal of Technology and Innovation, 2014, 14: 119-120(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-KJYX201414091.htm
    [11]
    吴介之. 在热力学的后方: 介绍美国数学家瑟林对热力学基础的改造[J]. 自然杂志, 1983, 6(12): 898-904, 953. https://www.cnki.com.cn/Article/CJFDTOTAL-ZRZZ198312007.htm

    Wu J Z. In the rear of thermodynamics: Introduces the American mathematician Serling's transformation of the basis of thermodynamics[J]. Journal Nature, 1983, 6(12): 898-904, 953(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZRZZ198312007.htm
    [12]
    徐国宾. 河流动力学中的最小能耗率原理[C]//第六届全国泥沙基本理论研究学术讨论会论文集. 郑州: 黄河水利出版社, 2005: 476-484.

    Xu G B. Principle of minimum energy consumption rate in river dynamics[C]//Proceedings of the 6th National Symposium on Sediment Theory. Zhengzhou: Yellow River Conservancy Press, 2005: 476-484(in Chinese).
    [13]
    Engelen G B, Jones G P. Developments in the analysis of groundwater flow systems[M]. Wallingford: IAHS Publication, 1986.
    [14]
    张人权, 梁杏, 靳孟贵, 等. 水文地质学基础[M]. 第7版. 北京: 地质出版社, 2018.

    Zhang R Q, Liang X, Jin M G, et al. Fundamentals of hydrogeology[M]. 7th Ed. Beijing: Geological Publishing House, 2018(in Chinese).
    [15]
    广西水文地质工程地质队桂西找水组. 广西都安县地苏地下河系: 滨海、岛屿、岩溶区的地下水[M]. 北京: 地质出版社, 1974.

    Hydrogeology and Engineering Geology Team in west Guangxi. Disu underground river system in Du'an, Guangxi: Groundwater in coast, island and karst areas[M]. Beijing: Geological Publishing House, 1974(in Chinese).
    [16]
    梁杏, 沈仲智, 刘宇, 等. 一种多级次地下水流动系统演示仪: CN2008200667265[P]. 2008.

    Liang X, Shen Z Z, Liu Y, et al. The utility model relates to a multilevel groundwater flow system demonstration instrumentr: CN2008200667265[P]. 2008(in Chinese).
    [17]
    Liang X, Liu Y, Jin M G, et al. Direct observation of complex Tóthian groundwater flow systems in the laboratory[J], Hydrological Processes, 2010, 24: 3568-3573. doi: 10.1002/hyp.7758
    [18]
    刘彦, 梁杏, 权董杰, 等. 改变入渗强度的地下水流模式实验[J]. 地学前缘, 2010, 17(6): 111-116. https://www.cnki.com.cn/Article/CJFDTOTAL-DXQY201006015.htm

    Liu Y, Liang X, Quan D J, et al. Experiments of groundwater flow patterns under changes of infiltration intensity[J]. Earth Science Frontiers, 2010, 17(6): 111-116(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DXQY201006015.htm
    [19]
    Wang X S, Jiang X W, Wan L, et al. A new analytical solution of topography-driven flow in a drainage basin with depth-dependent anisotropy of permeability[J]. Water Resources Research, 2011, 47(9): W09603.
    [20]
    Wang J Z, Jiang X W, Wan L, et al. An analytical study on groundwater flow in drainage basins with horizontal wells[J]. Hydrogeology Journal, 2014, 22(7): 1625-1638. doi: 10.1007/s10040-014-1146-9
    [21]
    Bresciani E, Gleeson T, Goderniaux P, et al. Groundwater flow systems theory: Research challenges beyond the specified-head top boundary condition[J]. Hydrogeology Journal, 2016, 24: 1087-1090. doi: 10.1007/s10040-016-1397-8
  • 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

    Article Metrics

    Article Views(311) PDF Downloads(48) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return