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对于双重介质流动系统,本文采用了与物质平衡方程一致的方法,保留了非线性偏微分方程中所有项。在研究垂直裂缝井流动的基础上,考虑二次梯度项的影响,建立了双重介质双线性模型。通过对数变换消去二次梯度项,建立差分格式,用追赶法求得该模型的数值解。分别讨论了双重介质的参数变化对无量纲压力的影响,同时考虑井筒储集、表皮效应和二次梯度项的影响,做出了典型无量纲压力曲线图。这些结果可用于实际试井分析。
For the dual-medium flow system, we adopt a method consistent with the material balance equation, preserving all the terms in the nonlinear partial differential equation. Based on the study of vertical fractured well flow and considering the influence of quadratic gradient, a bilinear model of dual media was established. The logarithmic transformation is used to eliminate the quadratic gradient term and the difference scheme is established. The numerical solution of the model is obtained by the chasing method. The influences of the parameters of double media on the non-dimensional pressure are discussed respectively. At the same time, the typical non-dimensional pressure curve is made considering the effects of wellbore storage, skin effect and quadratic gradient term. These results can be used for actual well test analysis.