屈服幂律流体螺旋层流流动压降简化模型
|
摘要
钻井过程中环空流动压降的准确预测能够为井底动压力的精确控制提供理论依据,避免出现因井底压力控制不当而导致的溢流、井漏乃至井喷等井下复杂情况。当前国内外学者针对不同钻井条件下的流动压降开展过大量的理论和实验研究,但现有研究成果很难实现螺旋层流流动压降的准确便捷预测。为了实现螺旋层流流动压降的准确便捷预测,在基于数值模型预测结果的基础上,建立屈服幂律流体螺旋层流流动压降预测简化模型,并利用仿真模拟和室内实验结果对简化模型的有效性进行了验证。结果表明:屈服幂律流体同心环空螺旋层流流动压降简化模型预测结果与实验结果和仿真模拟均吻合较好,简化模型预测误差仅为±5%。
Accurately predicting pressure gradient with inner pipe rotation in concentric or eccentric annuli can provide theoretical foundation to evaluate equivalent mud weight for avoiding donwhole problems caused by overlarge donwhole pressure,such as: gas kick,lost circulation,even blowout. Nowadays,a lot of studies were carried out on basis of theoretical and experimental researches,however,to the best of knowledge,no simplified model has been reported to predicting pressure gradient in concentric annuli with inner pipe rotation for yield-power-law( YPL) fluids. A simplified modeling of laminar helical flow in concentric annulus with YPL fluids has been established on basis of numerical results. In addition,the validation of simplified model has been investigated by comparing results with computational fluid dynamic( CFD) simulations and experimental studies. Predictions of simplified model shown good agreement with CFD and experimental results only within ± 5% error bars for power-law and YPL fluids in eccentric annuli.
Accurately predicting pressure gradient with inner pipe rotation in concentric or eccentric annuli can provide theoretical foundation to evaluate equivalent mud weight for avoiding donwhole problems caused by overlarge donwhole pressure,such as: gas kick,lost circulation,even blowout. Nowadays,a lot of studies were carried out on basis of theoretical and experimental researches,however,to the best of knowledge,no simplified model has been reported to predicting pressure gradient in concentric annuli with inner pipe rotation for yield-power-law( YPL) fluids. A simplified modeling of laminar helical flow in concentric annulus with YPL fluids has been established on basis of numerical results. In addition,the validation of simplified model has been investigated by comparing results with computational fluid dynamic( CFD) simulations and experimental studies. Predictions of simplified model shown good agreement with CFD and experimental results only within ± 5% error bars for power-law and YPL fluids in eccentric annuli.
引文
1 Tao L N,Donovan W F.Through-flow in concentric and eccentric annuli of fine clearance with and without relative motion of the boundaries.Transactions of the ASME,1954;77(8):1291-1301
2 Thomas R H,Walters K.The stability of elastic-viscous flow between rotating cylinders:Part 1.Journal of Fluid Mechanics,1964;18(1):33-43
3 Thomas R H,Walters K.The stability of elastico-viscous flow between rotating cylinders:Part 2.Journal of Fluid Mechanics,1964;19(4):557-560
4 Krueger E,Prima R.The stability of a viscous fluid between rotating cylinders with an axial flow.Journal of Fluid Mechanics,1964;9(4):621-631
5 Li B,Liu Y,Zhang J.Studies on the law of laminar helical flow of power-law fluid in eccentric annuli.Applied Mathematics and Mechanics(English Edition),1993;14(7):627-634
6蔡萌.幂律流体偏心环空螺旋流压力梯度的数值计算.石油钻采工艺,2010;32(2):11-14Cai Meng.Numerical calculation of pressure gradient of helical flow of power-law fluid in eccentric annulus.Oil Drilling&Production Technology,2010;32(2):11-14
7王小秋,周海韵,汪志明,等.深水钻井隔水管段大尺寸环空压耗数值模拟.科学技术与工程,2018;18(1):7-11Wang Xiaoqiu,Zhou Haiyun,Wang Zhiming,et al.Numerical simulation of pressure loss in large size riser annular in deep water drilling.Science Technology and Engineering,2018;18(1):7-11
8 Wan S,Morrison D,Bryden I G.The flow of Newtonian and inelastic non-Newtonian fluids in eccentric annuli with inner-cylinder rotation.Theoretical&Computational Fluid Dynamics,2000;13(5),349-359
9 Bui B T.Modeling the effect of pipe rotation on pressure loss through tool joint.SPETT 2012 Energy Conference and Exhibition.Trinidad,Port-of-Spain:Society of Petroleum Engineering,2012:1-15
10 Nouri J M,Whitelaw J H.Flow of Newtonian and non-Newtonian fluids in an eccentric annulus with rotation of the inner cylinder.Journal of Fluids Engineering,1994;18(2):236-246
11 Hansen S,Sterri N.Drill pipe rotation effects on frictional pressure losses in slim annuli.SPE Annual Technical Conference&Exhibition.Dallas:SPE,1995
12 Diaz H,Miska S,Takach N,et al.Modeling of ECD in casing drilling operations and comparison with experimental and field data.Archives of Mining Sciences,2004;52(4):457-481
13 Ahmed R.Experimental study and modeling of yield power-law fluid flow in pipes and annuli(effects of drillpipe rotation).TUDRP Advisory Board Meeting.Tulsa:The University of Tulsa,2006:1-20
14 Ahmed R,Miska S.Experimental study and modeling of yield power-law fluid flow in annuli with drillpipe rotation.IADC/SPE Drilling Conference.Orlando:Society of Petroleum Engineering,2008:1-13
15 Kozicki W,Chou C H,Tiu C.Non-Newtonian flow in ducts of arbitrary cross-sectional shape.Chemical Engineering Science,1966;21(8):665-679
16郭晓乐,龙芝辉,齐成伟.连续管钻小井眼水平井水力学分析.科学技术与工程,2013;13(26):7781-7784,7797Guo Xiaole,Long Zhihui,Qi Chengwei.Hydraulics analysis of horizontal slimhole using coiled tube drilling method.Science Technology and Engineering,2013;13(26):7781-7784,7797
17陈家琅,刘永建,岳湘安.钻井液流动原理.北京:石油工业出版社,1997Chen Jialang,Liu Yongjian,Yue Xiang'an.Mechanics of drilling fluid.Beijing:Petroleum Industry Press,1997
2 Thomas R H,Walters K.The stability of elastic-viscous flow between rotating cylinders:Part 1.Journal of Fluid Mechanics,1964;18(1):33-43
3 Thomas R H,Walters K.The stability of elastico-viscous flow between rotating cylinders:Part 2.Journal of Fluid Mechanics,1964;19(4):557-560
4 Krueger E,Prima R.The stability of a viscous fluid between rotating cylinders with an axial flow.Journal of Fluid Mechanics,1964;9(4):621-631
5 Li B,Liu Y,Zhang J.Studies on the law of laminar helical flow of power-law fluid in eccentric annuli.Applied Mathematics and Mechanics(English Edition),1993;14(7):627-634
6蔡萌.幂律流体偏心环空螺旋流压力梯度的数值计算.石油钻采工艺,2010;32(2):11-14Cai Meng.Numerical calculation of pressure gradient of helical flow of power-law fluid in eccentric annulus.Oil Drilling&Production Technology,2010;32(2):11-14
7王小秋,周海韵,汪志明,等.深水钻井隔水管段大尺寸环空压耗数值模拟.科学技术与工程,2018;18(1):7-11Wang Xiaoqiu,Zhou Haiyun,Wang Zhiming,et al.Numerical simulation of pressure loss in large size riser annular in deep water drilling.Science Technology and Engineering,2018;18(1):7-11
8 Wan S,Morrison D,Bryden I G.The flow of Newtonian and inelastic non-Newtonian fluids in eccentric annuli with inner-cylinder rotation.Theoretical&Computational Fluid Dynamics,2000;13(5),349-359
9 Bui B T.Modeling the effect of pipe rotation on pressure loss through tool joint.SPETT 2012 Energy Conference and Exhibition.Trinidad,Port-of-Spain:Society of Petroleum Engineering,2012:1-15
10 Nouri J M,Whitelaw J H.Flow of Newtonian and non-Newtonian fluids in an eccentric annulus with rotation of the inner cylinder.Journal of Fluids Engineering,1994;18(2):236-246
11 Hansen S,Sterri N.Drill pipe rotation effects on frictional pressure losses in slim annuli.SPE Annual Technical Conference&Exhibition.Dallas:SPE,1995
12 Diaz H,Miska S,Takach N,et al.Modeling of ECD in casing drilling operations and comparison with experimental and field data.Archives of Mining Sciences,2004;52(4):457-481
13 Ahmed R.Experimental study and modeling of yield power-law fluid flow in pipes and annuli(effects of drillpipe rotation).TUDRP Advisory Board Meeting.Tulsa:The University of Tulsa,2006:1-20
14 Ahmed R,Miska S.Experimental study and modeling of yield power-law fluid flow in annuli with drillpipe rotation.IADC/SPE Drilling Conference.Orlando:Society of Petroleum Engineering,2008:1-13
15 Kozicki W,Chou C H,Tiu C.Non-Newtonian flow in ducts of arbitrary cross-sectional shape.Chemical Engineering Science,1966;21(8):665-679
16郭晓乐,龙芝辉,齐成伟.连续管钻小井眼水平井水力学分析.科学技术与工程,2013;13(26):7781-7784,7797Guo Xiaole,Long Zhihui,Qi Chengwei.Hydraulics analysis of horizontal slimhole using coiled tube drilling method.Science Technology and Engineering,2013;13(26):7781-7784,7797
17陈家琅,刘永建,岳湘安.钻井液流动原理.北京:石油工业出版社,1997Chen Jialang,Liu Yongjian,Yue Xiang'an.Mechanics of drilling fluid.Beijing:Petroleum Industry Press,1997