考虑二次梯度影响的球向渗流问题解的相似结构

针对均质油藏球向渗流问题，研究了3种外边界（无穷大、定压、封闭）及内边界条件（引入表皮效应）下的定流量生产的问题，并建立了考虑二次梯度影响的不稳定渗流问题的试井分析模型；先对此模型作线性化处理，利用Laplace变换求得了线性化后的无因次储层压力和井底压力分布的Laplace空间解；在全面分析了它们之间内在联系的基础上，得到了此模型在3种外边界条件下解式之间的相似结构．

Similar Structure of the Solutions to Radial-Spherical Seepage Problem Considering Quadratic Gradient Effect

According to radial-spherical seepage problem in homogeneous reservoir, we studied constant flow production problem under three kinds of outer boundary conditions （ infinite outer boundary, constant pressure and closed boundary ） and inner boundary condition （skin effect ） and established well-testing analysis model of unstable seepage problem with consideration of quadratic gradient effect. Firstly, this model was processed by linearization,the linearized Laplace space solution with dimensionless reservoir pressure and with dimensionless well-bottom pressure distribution was obtained after Laplace transform, and then the similar structure of the solution＇ s expressions under three kinds of outer boundary conditions was achieved on the basis of overall analysis of their intrinsic connection.