一种预测油田开发指标的新型增长曲线及其应用

A NEW GROWTH CURVE AND ITS APPLICATION

提出了一种预测油田开发指标的新型增长曲线:Np=NRmax[t/(a+t)]b.推导了这种增长曲线的Q1-t、tm、Qtmax以及RPR的计算公式;推导了这种增长曲线预测油田开发指标的(Np/NRmax)Qmax 和(Np/NRmax)tQmax准数.用图形研究了这种增长曲线Qt-Np/Nmax和tQ1-Np/NRmax的关系,表明当b≤1时为递减曲线,当b＞1时为增长曲线,且出现Qtmax的Np/NRmax范围为0～0.36788,出现(tQt)max的范围为0.36788～1.0,因此这种增长曲线主要适用于产量峰值出现在油田开发初期的情况.计算实例(马坊油田)表明这种增长曲线对油田开发有一定的适用性.

A new growth curve to predict indices of oilfield development, N p=N Rmax t/(a+t)] b, has been proposed, and its formulae for calculating production (Q t) vs time (t), maximum production (Q tmax ), time according maximum production (t m) and Reserves Production Reserves(RPR) have been derived. Meanwhile, the curve's criteria to predict indices of oilfield development, (N p/N Rmax ) Q tmax and, (N p/N Rmax ) (tQ t) max ,have also been derived. Using related graphes, the relationships of Q t vs (N p/N Rmax )and tQ t vs (N p=N Rmax )have been studied for the growth curve, indicating a decreasing curve when b≤1 and a growth curve when b>1. In addition, the range of (N p/N Rmax ) for peak production (Q tmax ) is from 0 to 0.36788, and the range of (N p/N Rmax )for (tQ t) max is from 0.36788 to 1.0. Thus this growth curve is mainly applicable to those fields where peak production appears in early stage of development. An example for calculation (Mafang oilfield) shows a certain utility of this new growth curve.