三重介质轴对称二维不定常渗流的精确解
Exact Solution of Unsteady Axisymmetrical Two- Dimensional Flow through Triple Porous Media
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摘要: 本文求得了三重介质轴对称二维不定常渗流的线源解和有限封闭地层的面源解.它们不仅概括和发展了已有的均质和双重介质的主要结果,而且给出多重介质弹性渗流的基本特征.Abstract: This paper seeks for the line source and cylindrical place source solutions of unsteady aaisymmetrical two-dimensional flow through inlinite and finite reservoirs with triple porosity. They not only reveal the essential characters of fractured reservoirs but also generalize and develop the ezistiag primal results of homogeneous and double porous media. Reference[1] obtained the line source solution of unsteady azisymmetrical two-dimensional flow in infinite reservoir with double porosity, in this paper we study the problem of flow through triple porous media.
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[1] 刘慈群,轴对称二维定常和不定常渗流,力学学报.2(1983),103-110. [2] 刘慈群,三重介质弹性渗流方程组的精确解.应用数学和力学,2,4(1981).419-424. [3] Boulton,N,S,and T,D,Streltsova,Unsteady flow to a pumped well in an unconfined fissured aquifers,J.Hydvaul.,37,4(1978).349-363. [4] Corapcioglu,M,Y.,Viscoelastic aquifer model applied to subsidence due to pumping,Water Resour,Res.,13,3(1977).597. [5] Boulton,N,S.,Unsteady radial flow to a pumped well allowing for delayed yield from storage,Assoa,Int,Hgdrol.,Rome,Publ.,37(1955),472-477. [6] Hantush,M.S.,Drawdown around a partially penetrating wall,J,Hpydlvaul.Div,Amer.Soc.Civil.Eng.87.Hy4(1981).83-96
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