新疆石油地质

新疆石油地质 ›› 1998, Vol. 19 ›› Issue (6): 502-506.

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哈伯特二次函数的推导与应用

陈元千, 田建国   

  1. 中国石油天然气集团公司石油勘探开发科学研究院 北京 100083
  • 收稿日期:1998-03-24 发布日期:2020-09-19
  • 作者简介:陈元千：教授级高工 油藏工程

APPLICATION AND DERIVATIONOF HUBBERT'S QUADRATIC FUNCTION

Chen Yuanqian   

  1. Research Institute of Petroleum Exploration and Development, CNPC, Beijing 100083
  • Received:1998-03-24 Published:2020-09-19
  • About author:Chen Yuanqian, Professor of Engineering, Reservoir Engineering

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摘要： 哈伯特(Hubbert)模型, 可以用于预测油气田的产量、累积产量和可采储量。然而,在建模过程中,他首先假设,油气田的产量Q或dNP/dt 可以表示为累积产量NP 的二次函数。作者在Logistic 模型推导的基础上, 对哈伯特二次函数的关系式进行了推导,再现了哈伯特模型的推导过程, 并应用于油田的预测。

关键词: 油气田可采储量原油产量产能预测模型函数应用

Abstract: Hubbert's model may be used to predict production rate, cumulative production rate and recoverable reserves of oil and gas.However, he first assumed that the production rate Q or dNp/dNt can be expressed as quadratic function of cumulative production rate Np, namely Q=ANp +BN2p.The relationship is derived in this paper, based on the result of reference, and reappeared the derivation of Hubbert's model.

Key words: Oil and Gas field, Recoverable reserves, Oil production, Recoverable Prediction, Model, Function, Application