石油学报 ›› 2001, Vol. 22 ›› Issue (1): 83-88.DOI: 10.7623/syxb200101017

• 石油工程 • 上一篇    下一篇

顶部水泥脉冲振动的数学模型

练章华1, 李文魁2, 陈小榆1   

  1. 1. 西南石油学院完井中心 四川南充 637001;
    2. 西安石油学院 陕西西安 710065
  • 收稿日期:1999-08-04 修回日期:2000-01-27 出版日期:2001-01-25 发布日期:2010-05-21
  • 作者简介:练章华,男,1964年12月生.1994年毕业于西南石油学院机械工程系,获博士学位.现为西南石油学院完井中心教授.
  • 基金资助:
    油气藏地质及开发工程国家重点实验室开放基金资助项目(PLN9908).

THE MATHEMATICAL MODELS OF TOP CEMENT PULSATION

LIAN Zhang-hua1   

  1. Southwest Petroleum Institute, Nanchong 637001, China
  • Received:1999-08-04 Revised:2000-01-27 Online:2001-01-25 Published:2010-05-21

摘要: 介绍了顶部水泥脉冲振动技术的基本原理和方法。文中根据牛顿定律、质量守恒定律及水泥浆的宾汉塑性流变性,在顶部水泥脉冲振动作用下,建立了水泥浆中,一维压力传播的波动方程的数学模型。同时根据弹性理论和液体可压缩性,推导出了井眼岩石、水泥浆及套管共同作用下的当量体积弹性模量,并讨论了顶部水泥脉冲振动波动方程数学模型的物理意义及其具体应用时所要考虑的问题,为固井时,顶部水泥脉冲振动的优化设计、压缩机的优化及优选提供了理论依据。

关键词: 水泥浆, 水泥浆脉冲振动, 波动方程, 压力波, 数学模型

Abstract: The basic principle and approach of Top Cement Pulsation(TCP) technology was introduced in the paper. According to the Newton's second law of motion, the law of conservation of mass,and Bingham plastic flow equation of slurry,as well as under top cement pulsation,the mathematical models of one dimensional pressure pulse propagation downwards in the cement column was established.At the same time, on the basis of elastic theory and liquid compressibility,the effective bulk elastic modulus under the joint action of wellbore rock,slurry and casing was derived.The physical meaning of TCP wave mathematical models and its concrete problems in applications were also discussed. It provides the mathematical models for the optimal design of top cement pulsation and parameters of compressor.

Key words: slurries, pulse vibration of slurries, propagation wave equation, pressure wave, mathematical model

中图分类号: