Abstract: In this paper, a set of differential equations of an undersaturated oil reservoir in a finite aquifer system is established for the first time based on the material balance principle. The solution of this set of differential equation gives a relationship between reservoir pressure and the time. This relationship is matched with the actual reservoir pressure history, to obtain the elastic energy factor of the reservoir and the aquifer and the water influx factor, simultaneously. By means of these parameters the initial oil in place, the initial amount of water in the aquifer, the cumulative water influx, can be evaluated simultaneously and the change of the reservoir pressure under different withdrawal rates can be predicted.

摘要： 本文首次建立了有限含水层未饱和油藏物质平衡微分方程组。求解这个方程组,可以得到计算油层压力随时间变化的关系式。用这个关系式与实际油藏压力资料进行历史拟合,可同时求得油藏和含水层的弹性能量系数以及水侵系数。应用这些参数可以计算出油藏的原始原油储量,含水层的原始水储量,累积水侵量,以及预测在不同产量变化条件下油层压力的变化。