Abstract: It is naturally that oil production changes with time continously. Therefore instantaneous and accumulative oil production can be calculated theoretically in the study of production declining curve by differetiation and integration. However, there is a misunderstanding for many years in its application. That is, monthly (quarterly or annually) oil production are treated as a continuous with respect to time and integrated, while it is essentially discontinous and the accult is expressed in a cumulative form. In order to solve the in consistence between the continuous theoretical formulas and time disconfinvity in this paper,formulas are presented which can calculate cumulative oil production from discrete time interval. Examples are presented showing their practicality.

摘要： 产油量随时间的变化本质上是连续的,因此,人们通过微积分获得了递减曲线研究中理论上的瞬时产油量q(t)及累积产油量N_p(t)的计算公式,但在实际应用中,多年来却一直存在着概念上的一个误解,即把实质上属于离散的时间序列,已具有累积概念的月,季,年产油量误认为是时间的连续函数而进行积分运算.为解决具有时间连续性质的理论计算公式与实际上具有时间离散性质数据间的不相容性,本文推导出了可用于离散数据的累积产油量计算公式,计算实例对比结果充分说明了它的实用性.

关键词: 产量递减, 油井产量, 曲线图, 预测