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用微分方程描述井涌过程 被引量:1

Simulating Kick Process with Differential Equations
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摘要 运用构造微分方程的方法,给出了描述钻井中井通过程的三种数学模型,即线性函数、非线性函数和特殊的非线性函数,并对三种模型的曲线图进行了比较,为改进地层压力系数预测提供了理论依据。在此基础上,提出了预测地层压力的新方法,给出了各预测模型的计算公式及计算实例。 The paper presents three mathematical models to describe the kick process by establishing differential equations, namely linear function, non-linear function and special non-linear function, and compares their graphs with each other. These equations provide theoretical bases for determining coefficients of predicting formation pore pressures. According to this, a novel method of predicting formation pressures is brought forward. Additionally, the calculating formulas and samples are also introduced in this paper.
出处 《石油钻探技术》 CAS 2004年第3期30-33,共4页 Petroleum Drilling Techniques
关键词 微分方程 井涌 地层压力预测 数学模型 井喷 钻井液 well overflow formation pressure prediction mathematical model example
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