TAO Yue-zan, YAO Mei, ZHANG Bing-feng. Solution and Its Application of Transient Stream/Groundwater Model Subjected to Time-Dependent Vertical Seepage[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1047-1053.
Citation: TAO Yue-zan, YAO Mei, ZHANG Bing-feng. Solution and Its Application of Transient Stream/Groundwater Model Subjected to Time-Dependent Vertical Seepage[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1047-1053.

Solution and Its Application of Transient Stream/Groundwater Model Subjected to Time-Dependent Vertical Seepage

  • Received Date: 2006-05-31
  • Rev Recd Date: 2007-07-08
  • Publish Date: 2007-09-15
  • Based on the first linearized Boussinesq equation, analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semi-infinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage, is derived out by Laplace transform and the convolution integral. According to the mathematical characteristics of the solution, different methods for estimating aquifer parameters are constructed to satisfy different hydrological conditions. Then, the equation for estimating water exchange between stream and aquifer is proposed. And a recursion equation or estimating the intensity of phreatic evaporation is proposed too. A phreatic aquifer stream system located in Huaibei Plain, Anhui Province, China, is taken as an example to demonstrate the estimation process of the methods stated above.
  • loading
  • [1]
    张蔚榛. 地下水非稳定流计算和地下水资源评价[M].北京:科学出版社,1983.
    [2]
    毛昶熙. 渗流计算分析与控制[M].北京:中国水利水电出版社,1988.
    [3]
    Sergio E S. Modeling groundwater flow under transient nonlinear free surface[J].Journal of Hydrologic Engineering,2003,8(3):123-132. doi: 10.1061/(ASCE)1084-0699(2003)8:3(123)
    [4]
    Srivastava R. Aquifer response to linearly varying stream stage[J].Journal of Hydrologic Engineering,2003,8(6):361-364. doi: 10.1061/(ASCE)1084-0699(2003)8:6(361)
    [5]
    Edenhofer J, Schmitz G H.Pressure distribution in a semi-infinite horizontal aquifer with steep gradients due to steady recharge and/or drainage:the exact explicit solution[J].Transport in Porous Media,2001,45(3):345-364. doi: 10.1023/A:1012061618468
    [6]
    Mishra A, Hata T, Abdelhadi A W. Models for recession flows in the upper blue Nile river[J].Hydrological Processes,2004,18(15): 2773-2786. doi: 10.1002/hyp.1322
    [7]
    Szilagyi J, Parlange M B, Albertson J D. Recession flow analysis for aquifer parameter determination[J].Water Resources Research,1998,34(7):1851-1857. doi: 10.1029/98WR01009
    [8]
    Basha H A, Maalouf S F. Theoretical and conceptual models of subsurface hillslope flows[J].Water Resources Research,2005,41(7):1-7, doi: 10.1029/2004WR003769.
    [9]
    Troch P A, Van Loon A H,Hilberts A G J, Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions[J].Water Resources Research,2004,40(8):1-6, doi:10.1029/2003 WR002850
    [10]
    Woo S B, Philip L F L.Water table profiles and discharges for an inclined ditch-drained aquifer under temporally variable recharge[J].Journal of Irrigation and Drainage Engineering,2003,129(2):93-99 doi: 10.1061/(ASCE)0733-9437(2003)129:2(93)
    [11]
    陶月赞,席道瑛. 垂直与水平渗透作用下潜水非稳定渗流运动规律[J].应用数学和力学,2006,27(1):53-59.
  • 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 (2611) PDF downloads(776) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return