具有井筒相分离和层间窜流的层状油藏渗流井底压力精确解

Analytical Solution of Bottom Hole Pressure Behavior in Layered Reservoirs with Wellbore Phase Redistribution and Crossflow

关于具有窜流的多层油藏井底压力解，国内外有不少学者进行了研究，Ｄ．Ｂｏｕｒｄｅｔ提出的双渗模型最具实用性，但该模型在表皮系数为负时，数值计算极不稳定，应用受到限制，本文首次用有效井径概念，导出了一个数值计算相当稳定的双渗模型，另外还考虑了井筒相分离影响，本模型解大大扩大了Ｂｏｕｒｄｅｔ模型的应用范围。

Many studies have been done about the mathematical model of layered reservoirs with crossflow. The dual permeability model proposed by D. Bourdet is the most practical one. But its application is limited because it is numerically unstable when the skin factor is negative. Based on the concept of effective wellbore radius, a new model of layered reservoir with crossflow is presented in this paper. The new model is numerically stable and takes into account the influence of wellbore phase redistribution and it enlarges the application range of Bourdets model.