Abstract: In this paper, the effective radius of oil well is included in the insideboundary in the problem of flow of fluid in a reservoir, thus a new model has been built. Taking the wellbore storage and skin into consideration, an exact solution of the pressure distribtion in a homogeneous reservoir. In the case of an infinite outer boundary, a finite closed boundary and finite boundary with the constant pressure. Furthermore, this paper has described dimeusionless bottom draw-down and pressure derivative curves for both infinte and closed boundary reservoirs under constant well yield. These are equivalent to the type curves used in modern well-testing analysis generally. These type curves are more exact than those derived by Gringarten et al.

摘要： 本文将油井有效半径引入油藏渗流问题的内边界条件之中,从而建立了均质油藏渗流问题的新模型;并在考虑到井筒储集和表皮效应的情况下求得了外边界为无限大、有界封闭和有界定压三种典型情况下均质油藏压力分布的精确解析表达式。本文对于无限大油藏,封闭油藏两种情况,绘出了定常产量井的无量纲井底压降及其导数的曲线,这些典型曲线就是现代试井解释中的典型曲线。本文所绘出的这些典型曲线较Gringarten等人的更精确。