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函数磨光法在污染水文地质学中的应用——地下水质模拟试验研究的基本理论与计算方法之二

THE APPLICATION OF GRINDING OF FUNCTION TO POLLUTION HYDROGEOLOGY
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摘要 假设G是承压水井开采区的平面区域,Γ是平面区域的边界(如图1),可视为二维流。含水层的厚度m和孔隙度n为常数;渗透关系K和弹性储水系数μ为(X,y)的函数;导水系数为T=Km,G内的越流补给强度为ε(X,Y,t),污染源的强度为W_o;第p口井的开采量为Q_P,浓度通量为ψ_P;策p口井的井心坐标为(X_P,Y_P),任一点(X,Y)EG到(X_P,Y_P)的距离用r_p表示。 In pollution hydrogeology using the method of grinding of function in solving the dispersion equation is still in development. Formerly in solving a dispersion equa tion the linear interpolation of finite element method had been used, but the result is only an approximate solution which is sectionally smooth. However this solution is effective in treating problems chiefly related to dispersion, but when a connective system is involved the velocity distribution will have a great influence on the concen-tration(pollution) distribution. Under such circumstances, if the above cited method is still used, there will be difficulty in introducttinig a discontinuous velocity into the dispersion equation, for the velocity is discontinuous at the boundaries of different flow layers. To avoid this difficulty many methods have been proposed, but all of them are involved with tremendous calculation, now the method of grinding of function in troduced in this paper has both the advantages of reconciliation of the difficulties arousedby the discontinuing of the velocity distribution and tremendous work in calcula tion.For an effective use of the method of grinding of function the paper has adopted a rectangular finite element method, and in treating the boundary adopted plane triangle interpolation.Hence the defect of stiffness in using rectangular finite element method for treating boundary problems is avoided.
出处 《吉林大学学报(地球科学版)》 EI CAS 1982年第4期89-99,共11页 Journal of Jilin University:Earth Science Edition
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