Problem solution analysis on finding the velocity distribution for laminar flow of a non-linear viscous flushing fluid in the annular space of a well

IF 2.4 Q2 MINING & MINERAL PROCESSING Journal of Mining Institute Pub Date : 2022-12-30 DOI:10.31897/pmi.2022.93
V. Nikitin
{"title":"Problem solution analysis on finding the velocity distribution for laminar flow of a non-linear viscous flushing fluid in the annular space of a well","authors":"V. Nikitin","doi":"10.31897/pmi.2022.93","DOIUrl":null,"url":null,"abstract":"Modern drilling fluids are non-linear viscous media with an initial shear stress. In classical scientific works on hydromechanical modeling of drilling fluids motion in pipes and annular channels the Shvedov – Bingham approximation and Ostwald – de Waale power-law model were used, which did not fully account for behavior of technological fluids in a wide range of shear rates. This article presents a numerical solution for a mathematical model of drilling fluid motion of the three-parameter Herschel – Bulkley rheological model in the annular space of the well. The Herschel – Bulkley model in the rheological equation takes into account the presence of initial shear stress and a tendency for viscosity to change with shear rate, which distinguishes it from the Ostwald – de Waale and Shvedov – Bingham models. The target function in solving the equation of motion is the velocity distribution in the radial direction of the upward flow of the flushing fluid. The analysis of obtained solution is based on the theory of velocity profile influence on quality of cuttings removal during wellbore cleaning. Due to peculiarities of mathematical statement of the task, which supposes necessity of differential equation of motion solution, Wolfram Mathematica computational software has been used as a calculation tool. The analysis of numerical solution allowed to draw conclusions about the possibility of its application in evaluation of velocity profile when drilling fluid moves in annular space of the well. The possibility for application of modified excess coefficient as a relative quantitative parameter for evaluation of velocity profile uniformity was substantiated.","PeriodicalId":16398,"journal":{"name":"Journal of Mining Institute","volume":"63 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mining Institute","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31897/pmi.2022.93","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MINING & MINERAL PROCESSING","Score":null,"Total":0}
引用次数: 0

Abstract

Modern drilling fluids are non-linear viscous media with an initial shear stress. In classical scientific works on hydromechanical modeling of drilling fluids motion in pipes and annular channels the Shvedov – Bingham approximation and Ostwald – de Waale power-law model were used, which did not fully account for behavior of technological fluids in a wide range of shear rates. This article presents a numerical solution for a mathematical model of drilling fluid motion of the three-parameter Herschel – Bulkley rheological model in the annular space of the well. The Herschel – Bulkley model in the rheological equation takes into account the presence of initial shear stress and a tendency for viscosity to change with shear rate, which distinguishes it from the Ostwald – de Waale and Shvedov – Bingham models. The target function in solving the equation of motion is the velocity distribution in the radial direction of the upward flow of the flushing fluid. The analysis of obtained solution is based on the theory of velocity profile influence on quality of cuttings removal during wellbore cleaning. Due to peculiarities of mathematical statement of the task, which supposes necessity of differential equation of motion solution, Wolfram Mathematica computational software has been used as a calculation tool. The analysis of numerical solution allowed to draw conclusions about the possibility of its application in evaluation of velocity profile when drilling fluid moves in annular space of the well. The possibility for application of modified excess coefficient as a relative quantitative parameter for evaluation of velocity profile uniformity was substantiated.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
非线性粘性冲洗液层流在井内环空空间的速度分布求解分析
现代钻井液是具有初始剪应力的非线性粘性介质。在关于钻井液在管道和环形通道中运动的流体力学建模的经典科学著作中,使用了Shvedov - Bingham近似和Ostwald - de Waale幂律模型,它们不能完全解释工艺流体在大剪切速率范围内的行为。本文给出了三参数Herschel - Bulkley流变模型中钻井液在井环空中运动的数学模型的数值解。流变方程中的Herschel - Bulkley模型考虑了初始剪切应力的存在和粘度随剪切速率变化的趋势,这与Ostwald - de Waale和Shvedov - Bingham模型区别开来。求解运动方程的目标函数是冲洗液向上流动的径向速度分布。根据速度剖面对井筒清洗过程中岩屑去除质量的影响理论,对得到的溶液进行了分析。由于该任务数学表述的特殊性,即假定运动微分方程解的必要性,因此采用了Wolfram Mathematica计算软件作为计算工具。通过对数值解的分析,得出了将其应用于钻井液在井内环空运动时速度剖面评价的可能性。论证了将修正多余系数作为评价速度剖面均匀性的相对定量参数的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Journal of Mining Institute
Journal of Mining Institute MINING & MINERAL PROCESSING-
CiteScore
7.50
自引率
25.00%
发文量
62
审稿时长
8 weeks
期刊最新文献
Laboratory, numerical and field assessment of the effectiveness of cyclic geomechanical treatment on a tournaisian carbonate reservoir Determination of the grid impedance in power consumption modes with harmonics Sorption purification of acid storage facility water from iron and titanium on organic polymeric materials Wodginite as an indicator mineral of tantalum-bearing pegmatites and granites Оценка сдвиговой прочности горных пород по трещинам на основе результатов испытаний образцов сферическими инденторами
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1