SPE 109113
A New General Formula for Dimensionless Well Inflow Performance Relationship
Abstract
In 1968, Vogel presented an empirical inflow performance
relationship (IPR) for solution gas drive reservoirs based on
numerical simulation results. However, the relationship lacks
in relevant physical significance, and it does not take into
account the effect of turbulence that may occur when fluids
flow into the wellbore1 at high velocity. Consequently,
limitations exist in the theory of deliverability forecast and its
application.
Based on the nonlinear-flow mathematical model developed
by Forcheimer, a dimensionless IPR for a single phase (oil or
gas) is deduced. New IPR formulas for solution gas drive
reservoirs as well as partial solution gas drive reservoirs are
developed by recognizing the similarity of deliverability
equations between linear flow and nonlinear flow of a single
phase. And a general dimensionless IPR formula is gained by
summing up and normalizing the IPRs in different cases,
where characteristic parameters a and n have explicit physical
significance. An example is given to compare the new general
formula with the exponential equation and Vogel equation.
The results show the new IPR formula can predict the well
deliverability with high accuracy.
摘要
1968年，基于溶解气驱油藏的数值模拟结果，Vogel提出了经验性的流入动态（IPR）。然而，这种关系缺乏相关的物理意义，它没有考虑当流体高速流入井筒时所产生的紊流的影响。因此，这种产能预测理论和它的应用存在着局限性。
基于由Forcheimer开发的非线性流的数学模型，一个关于单向流(油或者气)的无因次流入动态被推导出来。通过研究单相线性流和非线性流产能方程之间的相似性，关于溶解气驱油藏和部分溶解气驱油藏的新的流入动态公式被开发出来。这个无因次流入动态的通式是通过总结和规范在不同情况下的流入动态得到的，其中特征参数a和n有明确的物理意义。一个例子就是比较新的指数方程通式和Vogel方程。结果表明，新的流入动态通式可以高精度的预测油井的产能。
由于公式太多，在里面显示不成，因此，翻译和原文一同放在了附件中
