均质油藏灌注试井数学模型及应用

Mathematical model and its application in well test with injection into wellbore for oil well in homogeneous reservoir

在现场试验和理论分析的基础上 ,建立了具有井筒储存和表皮效应的均质油藏灌注试井数学模型 .针对便于现场应用的折线型灌注函数给出了模型的Laplace空间解及实空间解 ,绘制了典型曲线图版 .实际应用表明 :模型正确。

A mathemaical model of the injection well test with the effect of wellbore storage and skin is presented on the basis of the field experiment and theoretical analysis. The solutions in Laplace space and in real space are obtained. Furthermore, the typical curves of the presssure and pressure derivative in the infinite boundary reservoir are drawn and a match for the actual test data shows that the pressure behavior of the well after the injection can be described by the conclusion of this model.