Special Oil & Gas Reservoirs >

2021 , Vol. 28 >Issue 2: 156 - 162

DOI: https://doi.org/10.3969/j.issn.1006-6535.2021.02.024

Drilling & Production Engineering

Study on Flow Rules of Herschel-Bulkley Fluid in Concentric Annulus of Elliptical Wellbore and Simplified Model for Pressure Drop Calculation

  • Zhang Jie ,
  • Tang Ming ,
  • Jiang Zhenxin ,
  • Gan Yifeng ,
  • Zeng Dezhi
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  • 1. PetroChina Xinjiang Oilfield Company, Karamay, Xinjiang 834000, China;
    2. Southwest Petroleum University, Chengdu, Sichuan 610500, China

Received date: 2020-08-14

  Revised date: 2020-12-25

  Online published: 2022-02-16

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Abstract

The wellbore is easy to become elliptical due to the uneven rocks and in-situ stress, leading to great deviation in the existing annulus flow model of regular circular wellbore. In order to identify the flow rules of Herschel-Bulkley fluid in the concentric annulus of the elliptical .wellbore, an analytical model and a Fluent simulation model were established to analyze the influence of the elliptical .wellbore on the annulus flow velocity and pressure drop gradient. A simplified model was established for pressure drop calculation of concentric annulus of elliptical wellbore by correcting the hydraulic diameter and introducing effective viscosity to realize accurate and rapid prediction of flow pressure drop. The effectiveness of the simplified model was verified by the analytical model, simulation model and measured results. The results showed that when the flow rate was constant, the axial average velocity and maximum velocity increased linearly and exponentially with the increase of the ratio of the long and short axis of the ellipse; the dimensionless pressure drop gradient increased linearly with the increase of the ratio of the long and short axis of the ellipse; the simplified model was well fitted with the simulation model, analytical model and measured results, and the deviations were ±8%, ±5% and ±5%, respectively. The study results can be used as a theoretical support for accurate and rapid prediction of flow pressure drop in concentric annulus in elliptical wellbore.

Key words： pressure prediction; elliptical wellbore; concentric annulus; Herschel-Bulkley fluid; reservoir fluid flow; annulus pressure drop

Cite this article

Zhang Jie , Tang Ming , Jiang Zhenxin , Gan Yifeng , Zeng Dezhi . Study on Flow Rules of Herschel-Bulkley Fluid in Concentric Annulus of Elliptical Wellbore and Simplified Model for Pressure Drop Calculation[J]. Special Oil & Gas Reservoirs, 2021 , 28(2) : 156 -162 . DOI: 10.3969/j.issn.1006-6535.2021.02.024

References

[1] 夏宏泉,刘畅,李高仁,等.基于测井资料的TIV地层水平地应力计算方法[J].石油钻探技术,2019,47(6):67-72.
XIA Hongquan,LIU Chang,LI Gaoren,et al.A logging data-based calculation method for the horizontal TIV formation in-situ stress[J].Petroleum Drilling Techniques,2019,47(6):67-72.
[2] 李冬梅,窦益华,王小增,等.非均匀地应力下井壁Von Mises应力及稳定性分析[J].石油地质与工程,2019,33(3):82-85.
LI Dongmei,DOU Yihua,WANG Xiaozeng,et al.Von Mises stress and stability analysis of wellbore wall under non-uniform in-situ stress[J].Petroleum Geology & Engineering,2019,33(3):82-85.
[3] 狄勤丰,王春生,李宁,等.巨厚砾岩层气体钻井井眼特征[J].石油学报,2015,36(3):372-377.
DI Qinfeng,WANG Chunsheng,LI Ning,et al.Wellbore characteristic of gas drilling in thicker conglomerate[J].Acta Petrolei Sinica,2015,36(3):372-377.
[4] 李文哲,钟成旭,蒋雪梅,等.考虑壁面滑移效应的高密度油基钻井液流变性研究[J].石油钻探技术,2020,48(6):28-32.
LI Wenzhe,ZHONG Chengxu,JIANG Xuemei,et al.Study of the rheological properties of high-density oil-based drilling fluid considering wall slip effect[J].Petroleum Drilling Techniques,2020,48(6):28-32.
[5] 王建华,闫丽丽,谢盛,等.塔里木油田库车山前高压盐水层油基钻井液技术[J].石油钻探技术,2020,48(2):29-33.
WANG Jianhua,YAN Lili,XIE Sheng,et al.Oil-based drilling fluid technology for high pressure brine layer in Kuqa Piedmont of the Tarim Oilfield[J].Petroleum Drilling Techniques,2020,48(2):29-33.
[6] KOZICKI W,CHOU C H,TIU C.Non-Newtonian flow in ducts of arbitrary cross sectional shape[J].Chemical Engineering Science,1966,21(8):665-679.
[7] MILLER C.Predicting Non-Newtonian flow behavior in ducts of unusual cross section[J].Industrial & Engineering Chemistry Fundamentals,1972,11(4):524-528.
[8] DELPLACE F,LEULIET J C.Generalized Reynolds number for the flow of power law fluids in cylindrical ducts of arbitrary cross-section[J].The Chemical Engineering Journal and the Biochemical Engineering Journal,1995,56(2):33-37.
[9] METZNER A B,REED J C.Flow of Non Newtonian fluids-correlation of the laminar, transition,and turbulent-flow regions[J].AIChE Journal,1955,1(4):434-440.
[10] MUZYCHKA Y S,EDGE J.Laminar Non-Newtonian fluid Flow in noncircular ducts and microchannels[J].Journal of Fluids Engineering,2008,130(11):1349-1357.
[11] BAHRAMI M,YOVANOVICH M,CULHAM R.Approximate solution for pressure drop in microchannels of arbitrary cross-sections[J].Journal of Fluids Engineering,2005,128:269-280.
[12] 张雄,余进,毛俊,等.准噶尔盆地玛东油田水平井高性能油基钻井液技术[J].石油钻探技术,2020,48(6):21-27.
ZHANG Xiong,YU Jin,MAO Jun,et al.High-performance oil-based drilling fluid technology for horizontal wells in the Madong Oilfield,Junggar Basin[J].Petroleum Drilling Techniques,2020,48(6):21-27.
[13] 景帅,肖莉,张好林,等.基于井眼清洁程度与水力学耦合的环空压耗最小化计算方法[J].石油钻探技术,2020,48(2):56-62.
JING Shuai,XIAO Li,ZHANG Haolin,et al.A method for minimizing annulus pressure loss by means of hole cleaning and hydraulics coupling[J].Petroleum Drilling Techniques,2020,48(2):56-62.
[14] 王江帅,李军,柳贡慧,等.气侵条件下新型双梯度钻井环空出口流量变化规律研究[J].石油钻探技术,2020,48(4):43-49.
WANG Jiangshuai,LI Jun,LIU Gonghui,et al.Study on the change law of annular outlet flow rate in new-type dual-gradient drilling under gas cut condition[J].Petroleum Drilling Techniques,2020,48(4):43-49.
[15] 刘凡,吴学林,周文胜,等.考虑聚合物非牛顿性和渗流附加阻力的海上油田早期注聚效果评价方法[J].石油地质与工程,2020,34(5):83-88.
LIU Fan,WU Xuelin,ZHOU Wensheng,et al.Evaluation method of early polymer injection effect in offshore oilfields considering non-Newtonian behavior of polymer and additional seepage resistance[J].Petroleum Geology & Engineering,2020,34(5):83-88.
[16] TAMAYOL A,BAHRAMI M.Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section[C].FEDSM2009-78167,2009:1323-1333.
[17] EID E I.Experimental study of free convection in an elliptical annular enclosure in blunt and slender orientations[J].Heat and Mass Transfer,2011,47(1):81-91.
[18] MALEKI E,SADRHOSSEINI H.Numerical study of external flow over ducts with various cross-sections[J].Defect and Diffusion Forum,2016,366(1):10-16.
[19] ALEGRIA L,FRANCO A T,NEGRAO C,et al.Friction factor correlation for viscoplastic fluid flows through eccentric elliptical annular pipe[C].SPE151020-MS,2012:1-10.
[20] DAWOOD H K,MOHAMMED H A,SIDIL N C,et al.Numerical investigation on heat transfer and friction factor characteristics of laminar and turbulent flow in an elliptic annulus utilizing nanofluid[J].International Communications in Heat and Mass Transfer,2015,66:148-157.
[21] 王江帅,李军,柳贡慧,等.椭圆形井眼环空压力梯度预测与影响因素分析[J].钻井液与完井液,2018,35(5):14-18.
WANG Jiangshuai,LI Jun,LIU Gonghui,et al.Annular pressure gradients of elliptical wellbore:prediction and influential factor analysis[J].Drilling Fluid & Completion Fluid,2018,35(5):14-18.
[22] LETELIER M F,SIGINER D A,HINOJOSA C B.On the physics of viscoplastic fluid flow in non-circular tubes[J].International journal of non-linear mechanics,2017,88(1):1-10.
[23] 汤明.波动压力与裂缝性地层极限水平段长度研究[D].成都:西南石油大学,2016.
TANG Ming.Research on surge/swab pressures and ultimate length of horizontal well for fractured formation[D].Chengdu:Southwest Petroleum University,2016.
[24] TANG M,AHMED R,SRIVASTAV R,et al.Simplified surge pressure model for yield power law fluid in eccentric annuli[J].Journal of Petroleum Science and Engineering,2016,145:346-356.
[25] GENICK Bar-Meir.Basics of Fluid Mechanics[M].Chicago:Orange Grove Texts Plus,2013:110-113.
[26] FOUNARGIOTAKIS K,KELESSIDIS V C,MAGLIONE R.Laminar,transitional and turbulent flow of Herschel-Bulkley fluids in concentric annulus[J].The Canadian Journal of Chemical Engineering,2008,86(4):676-683.
[27] 汤明,孔令豪,何世明.屈服幂律流体螺旋层流流动压降简化模型[J].科学技术与工程,2018,18(32):25-29.
TANG Ming,KONG Linghao,HE Shiming.Simplified modeling of laminar helical flow in concentric annulus with yield-power-law fluid[J].Science Technology and Engineering,2018,18(32):25-29.
[28] CRESPO F,AHMED R,ENFIS M,et al.Surge-and-swab pressure predictions for yield-power-law drilling fluids[J].SPE Drilling & Completion,2012,27(4):574-585.
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