Mathematical Model of Microscopic Dynamics about Single-Phrase Incompressible Fluid Flows in Thin Tube under Low Frequency Vibration

LIU Jing，PU Chun-sheng,LIN Cheng-yan,WU Fei-peng

doi:10.11764/j.issn.1672-1926.2014.10.1610

2014 , Vol. 25 >Issue 10: 1610 - 1614

DOI: https://doi.org/10.11764/j.issn.1672-1926.2014.10.1610

Mathematical Model of Microscopic Dynamics about Single-Phrase Incompressible Fluid Flows in Thin Tube under Low Frequency Vibration

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(1.School of Petroleum Engineering in China University of Petroleum,Qingdao 266580,China；
2.School of Geosciences in China University of Petroleum,Qingdao 266580,China)

Received date: 2013-10-16

Revised date: 2014-01-07

Online published: 2014-10-10

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Abstract

In order to discover the effect of low frequency wave on strata and the law of fluid flow,mathematical model of microscopic dynamics about single-phrase incompressible fluid flows in thin tube under low frequency vibration was established,which is based on inertial force that produced from low frequency vibration when fluid motion is induced into N-S equation of tube with laminar.Using this C-N differential format,fluid velocity and shear force distribution in single thin tube were simulated and quantitatively analyzed under low frequency vibration.The results show that fluid flow rate presents a parabolic distribution with diameter and a periodical change that centered on no-vibration fluid velocity distribution with time in single thin tube under low frequency vibration|shear force at adhesion layer also presents a periodical change that centered on no-vibration fluid velocity distribution with time.When the shear force is greater than the critical shear force of the adhesive layer flows,the portions of the adhesive layer will flow.Establishment and solution of the model provide an important understanding for further discovery of the microscopic dynamics synergistic mechanism that low-frequency vibration has on the formation permeability.

Key words： Low frequency vibration; Single-phase incompressible fluid; Seepage velocity; Adhesion layer

Cite this article

LIU Jing，PU Chun-sheng,LIN Cheng-yan,WU Fei-peng . Mathematical Model of Microscopic Dynamics about Single-Phrase Incompressible Fluid Flows in Thin Tube under Low Frequency Vibration[J]. Natural Gas Geoscience, 2014 , 25(10) : 1610 -1614 . DOI: 10.11764/j.issn.1672-1926.2014.10.1610

References

［1］Wang Zhongmao.Vibration Oil Production Technique[M].Beijing:Petroleum Industry Press,2000:59-96.[王仲茂.振动采油技术[M].北京:石油工业出版社,2000:50-96.]
[2]Hu Bozhong.Wave Field Production Technology[M].Beijing:Petroleum Industry Press,1996:50-63.[胡博仲.波场采油技术[M].北京:石油工业出版社,1996:50-63.][ZK)]
[3]Liu Jing,Pu Chunsheng,Zheng Liming ,et al.Experiment research on effects of low frequency vibration wave for crude oil viscosity[J].Science Technology and Engineering,2012,12(27):214-217.[刘静,蒲春生,郑黎明,等.低频振动对原油黏度影响的实验研究[J].科学技术与工程,2012,12(27):214-217.]
[4]Liu Jing,Pu Chunsheng,Liu Tao ,et al.Study on seepage model of pulse fluid in the formation[J].Journal of Xi′an Shiyou University:Natural Science Edition,2011,26(4):46-49.[刘静,蒲春生,刘涛,等.脉冲波作用下地层流体渗流规律研究[J].西安石油大学学报:自然科学版,2011,26(4):46-49.]
[5]Li Ji,Zhang Yan,Zang Hongmei ,et al.A new method of studying on the law of vibration wave propagating through saturation porous media in vibration production[J].Oil Drilling & Production Technology,2000,22(4):48-51.[李骥,张焱,张红梅,等.振动采油中地层饱和多孔介质波动规律研究的新方法[J].石油钻采工艺,2000,22(4):48-51.]
[6]Zheng Maosheng,Ming Fangfei,Zhu Xiuhong ,et al.Effect of vibration on permeability of rock and stratum[J].Acta Petrol Sinica,2008,29(6):875-879.[郑茂盛,明方飞,朱秀红,等.振动对岩石及地层渗透率的影响[J].石油学报,2008,29(6):875-879.]
[7]Li Ji,Zhang Yan,An Jiuquan ,et al.The effect of vibration field on crude oil seepage flow[J].Oil &Gas Recovery Technology,2000,3(7):46-48.[李骥,张焱,安九泉,等.振动场作用对原油渗流的影响[J].油气采收率技术,2000,3(7):46-48.]
[8]Long Xiaojian,Sun Wei,Wang Ruifei.The calculating research of the influence to casing pipe cement sheath and formation by vibrated water injection[J].Natural Gas Geoscience,2005,16(5):666-669.[龙小健,孙卫,王瑞飞.振动注水对套管、水泥环及地层影响的计算研究[J].天然气地球科学,2005,16(5):666-669.]
[9]Yuan Enxi.Engineering Fluid Mechanics[M].Beijing:Petroleum Industry Press,2007:109-113.[袁恩熙.工程流体力学[M].北京:石油工业出版社,2007:109-113.]
[10]Pu Chunsheng,Wang Bei,Xiao Zengli ,et al.Mathematical model study on porous medium single phase radial flow under dual super posed wave[J].Daqing Petroleum Geology and Exploitation,2008,27(1):97-101.[蒲春生,王蓓,肖曾利,等.二元叠合波条件下多孔介质单相平面径向渗流数学模型研究[J].大庆石油地质与开发,2008,27(1):97-101.]
[11]Zhang Rongjun,Pu Chunsheng,Dong Zhengyuan.Mathematical model for fluid filtration in formation under the condition of vibration[J].Acta Petrol Sinice,2004,25(5):80-83.[张荣军,蒲春生,董正远.振动条件下地层流体渗流的数学模型[J].石油学报,2004,25(5):80-83.]
[12]Zhang Xiuli,Zhang Guiming,Yang Shuhe ,et al.Seimici hydrocarbon detection technique and its application in identication of shallow gas in Dagang Oilfield[J].Natural Gas Geoscience,2013,24(4):815-820.[张秀丽,张桂明,杨树合,等.地震油气检测技术在大港油田浅层气识别中的应用[J].天然气地球科学,2013,24(4):815-820.]

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