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Finite Layer Method for Flow in Layered Radial Two-Zone Aquifer Systems

机译：分层径向两区含水层系统中流动的有限层方法

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摘要

A new finite layer method (FLM) is presented in this paper for transient flow analysis in layered radial two-zone aquifer systems. A radial two-zone system is an aquifer configuration in which a circular aquifer with finite radius is surrounded by a matrix possessing different permeability and storage properties. The aquifers can be pumped from fully or partially penetrating wells of infinitesimal radius. The trial function for drawdown is obtained through the use of piecewise linear correction functions in the present method. The trial function can satisfy the continuity conditions of flow and possess an appropriate continuity of C~0 at the two-zone interface. On the basis of Galerkin's method and the continuity condition of flow, the finite layer formulation is derived. The proposed method can cope with the anisotropy and layered heterogeneity in radial two-zone aquifer systems. Several numerical examples are presented to verify the validity of the present method through comparison with the analytical solution and the numerical results based on the finite difference method, in which a test of three-dimensional (3D) flow to a partially penetrating well in anisotropic two-zone aquifers is included. Furthermore, an additional application in simulating the two-zone flow in aquitard-aquifer systems is presented to demonstrate the applicability of FLM in modeling flow in more complex aquifer systems.
机译：本文提出了一种新的有限层方法（FLM），用于分层径向两区含水层系统中的瞬态流动分析。径向两区系统是一种含水层构造，其中具有有限半径的圆形含水层被具有不同渗透率和存储特性的基质包围。可以从半径最小的完全或部分穿透的井中抽水。通过在本方法中使用分段线性校正函数来获得用于回落的试验函数。试用函数可以满足流的连续性条件，并且在两区界面处具有适当的C〜0连续性。根据Galerkin方法和流动的连续性条件，推导了有限层公式。所提出的方法可以解决径向两区含水层系统的各向异性和层状非均质性问题。给出了几个数值例子，通过与解析解的比较和基于有限差分法的数值结果，验证了本方法的有效性，其中三维（3D）试验流向各向异性两个部分渗透井包括区域含水层。此外，还提出了在模拟阿奎德-含水层系统中的两区流动的另一应用程序，以证明FLM在建模更复杂的含水层系统中的流动方面的适用性。

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  • 来源
    《Ground water》 |2012年第3期|p.348-354|共7页
  • 作者

    Xudong Wang; Jin Xu; Zhengyin Cai;

  • 作者单位

    College of Transportation Science ft Engineering, Nanjing University of Technology, Nanjing 210029,P. R. China;

    Nanjing Hydraulic Research Institute, Nanjing 210029, P. R.China;

    Nanjing Hydraulic Research Institute, Nanjing 210029, P. R.China;

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