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根据油气藏的渗流机理,建立了考虑二次压力梯度项、有效井筒半径、井筒储集的变流率生产状态下的双孔油藏非线性渗流模型.利用Laplace变换和合理的近似处理,获得了无量纲地层压力和井底流压的Laplace空间解的相似结构(只与内边界条件有关)和相似核函数(相似核函数与渗流定解方程的基础解系及外边界条件有关,不同外边界条件对应于不同的相似核函数,且与内边界条件无关).此项研究揭示了双孔油藏中流体渗流的本质特征,为深入研究该类油藏的非线性渗流规律提供了又一个理论分析方法,也方便了相应的试井分析软件的快捷地编制,具有广泛的应用前景.
According to the seepage mechanism of oil and gas reservoirs, a nonlinear model of two-hole reservoir is established considering the secondary pressure gradient term, the effective wellbore radius and the wellbore flow rate. The Laplace transform and rational approximation are used to obtain The similar structure of the Laplace space solution (only related to the inner boundary conditions) and the similar kernel function of the non-dimensional formation pressure and the bottom hole flow pressure (similar kernel functions are related to the basic solution and the outer boundary conditions of the solution equations of seepage, and the different outer boundaries The conditions correspond to different similar kernel functions and have nothing to do with the inner boundary conditions.) This study reveals the essential characteristics of fluid seepage in a two-hole reservoir and provides another theory for further study on the non-linear seepage law of such reservoirs The analysis method also facilitates the quick preparation of the corresponding well testing software and has a wide range of application prospects.