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中文摘要：
基于非稳定渗流公式，推导了渗透注浆的浆液渗流基本微分方程，随后将其由直角坐标系下的解析形式转换成极坐标系下的解析形式，并将其数值化离散，且给出合理的初始条件、边界条件与边界条件处理方法，得到了计算浆液渗流的有限元模型。最后对实际注浆工程进行计算。结果表明，计算结果与工程实际符合良好。柱状注浆和非溶性浆液注浆在开始阶段均十分容易灌注，而后随浆液扩散半径的增加，灌注的难度越来越大，且非溶性浆液注浆较柱状注浆的难度大得多。
英文摘要：
Based on the unsteady seepage formula the fundamental differential equation for permeation grouting diffusion was deduced. The analytical formula in Cartesian coordinate system was transformed into polar coordinate system and discretized for numerical calculation. The corresponding initial conditions, boundary conditions and the method for dealing with the boundary condition were presented. Finally a finite element model for calculating the diffusion of permeation grouting was established. The application of this model shows that the calculation results are in good agreement with the engineering reality. It is found that the grouting in the initial period is very easy, but it becomes more and more difficult following the increase of the diffusion radius of grouting liquid, especially for the grouting using undissoluble liquid.
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