井筒与油藏耦合条件下的水平井非稳态产能预测(Ⅰ)——数学模型

如何准确有效地预测水平井产能是进行油藏工程分析和采油工艺设计的重要基础,常规的稳态产能预测方法由于内在理论缺陷导致严重的误差。以不稳态渗流理论为基础,将水平井的油藏渗流与水平井井筒流动视为一个相互作用的整体,建立油藏与井筒耦合条件下的不稳态流动数学模型,在井筒流动模型中考虑流体磨阻、动量变化、井筒壁面流入的混合干扰等复杂因素,应用边界积分法建立井筒油藏耦合模型,可以与不同的油藏模型组合,从而为水平井的油藏工程研究、完井及采油工程设计提供更先进的手段。

TRANSIENT PERFORMANCE PREDICTION OF HORI-ZONTAL WELL WITH COUPLED IN WELLBORE AND RESERVOIR PART1: MATHEMATIC MODEL

It is an important base for the analysis to reservoir engineering and the design for the oil production method to how tpredict the productivity of the horizontal well accurately. For it self theoretical limitation, there is the serious error on the commonly method to predict the stable productivity. This paper ibased on the unsteady flow theory and looks on the reservoi flow and wellbore flow of horizontal well as a coupling system.The transient flow mathematic model under the coupling of th reservoir and wellbore was established. It has considered som complicated factor, such as the fluid friction loss, the change omomentum, the inflow of the sidewall of wellbore etc. Thmodel is based on boundary integral method and can assembl with any reservoir model. It will provide the advanced metho for horizontal well to research reservoir engineering, the wel completion and oil production design.