Study of Friction Factor and Equivalent Diameter Correlations for Annular Flow of Non-Newtonian Drilling Fluids

Jensen, Trond B.; Sharma, Manorma

doi:10.1115/1.3231347

Cited by 13 publications

(5 citation statements)

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“…The apparent viscosities for the Bingham plastic and power-law models are calculated, respectively, using: For the same data used in the present study, Jensen and Sharma (1987) showed that the two popular models gave better results using hydraulic diameter. Therefore, the Reynolds number is calculated using hydraulic diameter, for all combinations considered.…”

Section: Turbulent Flowmentioning

confidence: 97%

“…The final form of the is a dimensionless quantity between 0 and I ( R 2 = I , when SEE = 0). The two measures are well defined by Jensen and Sharma (1987).…”

Section: Development Of the Correlationmentioning

confidence: 99%

“…The laminar flow equations for Bingham plastic and power-law models are presented and evaluated in the literature (Langlinais et al, 1985;Jensen & Sharma, 1987). Also the laminar flow equation for the Robertson-Stiff model is presented (Aswad & Saleh, 1990), but has not been evaluated until now.…”

Section: Introductionmentioning

confidence: 99%

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Frictional Pressure Losses for Annular Flow of Drilling Muds

Abdul-Majeed

1996

Polymer-Plastics Technology and Engineering

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Based on measured pressure drop data (91 points), an attempt is made to use the Robertson-Stiff rheological model for estimating the pressure drop for annular single-phase flow. The model parameters A, B, and C , are calculated using the Golden Section Search Method. The pressure drop equation derived by Aswad and Saleh, in terms of the model parameters, has been used for laminar flow. For turbulent flow, a new friction factor correlation is proposed, which represents a generalization of the Caetano et al. equation for Newtonian fluids. In addition to the present data bank, used in the development of the proposed friction factor, another set of data from the Middle East are used for comparison purposes. It is observed based on statistical results that the laminar and turbulent flow equations described by the Robertson-Stiff model show excellent results and clearly outperform the two popular models, the Bingham plastic and the power law.

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Section: Turbulent Flowmentioning

confidence: 97%

“…The final form of the is a dimensionless quantity between 0 and I ( R 2 = I , when SEE = 0). The two measures are well defined by Jensen and Sharma (1987).…”

Section: Development Of the Correlationmentioning

confidence: 99%

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Frictional Pressure Losses for Annular Flow of Drilling Muds

Abdul-Majeed

1996

Polymer-Plastics Technology and Engineering

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“…28 The R 2 measure of goodness of fit has been cited as being a suitable criterion upon which one can gauge nonlinear modeling accuracy. 17,29,30 However, for such models it is quite unsuitable. 31 Other objections to R 2 have been raised in the statistical literature which demonstrate how R 2 can be a misleading measure for any nonlinear model.…”

Section: Parameter Fitting and Goodness Of Fitmentioning

confidence: 99%

A Generalized and Consistent Pressure Drop and Flow Regime Transition Model for Drilling Hydraulics

Bailey

Peden

2000

SPE Drilling &Amp; Completion

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Generalized laminar and turbulent pressure loss formulations are presented that are suitable for both annular and circular conduits. In so doing, a new rheological parameter is introduced that provides a consistent link between turbulent and laminar flow calculations and flow regime transition criteria.The approach presented is independent of the form of the rheological model of choice, it makes no assumptions about conduit geometry, can include the presence of a laminar plug flow region, accommodates drillpipe rotation effects and accounts for the effects of annular eccentricity. Simple, explicit and general formulations for approximating pressure losses over measurement while drilling tools and positive displacement motors are also presented to augment the suite of expressions required for comprehensive hydraulic calculation over the circulating system. Furthermore, procedures for establishing realistic bounds of confidence for laminar pressure loss functions are presented, enabling computation of the degree of certainty attributable to such a calculation. This procedure for establishing confidence intervals is applicable to any function requiring fitted parameters, hence it has a broader application potential than just drilling hydraulics. The model demonstrates good agreement with measured data from studies involving drilling fluids flowing in both circular and annular conduits.*Now with Schlumberger.

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“…Jonsson and Sparrow 10 and Bourne et al 11 found experimentally that eccentricity influenced onset and extent of laminar-turbulent transition. The few available data in non-laminar flow 12,13 suggest that different correlations have to be worked out for each flow regime. Strictly, accounting for eccentricity seems to be the most important parameter for accurate annular pressure loss predictions.…”

Section: Literature Reviewmentioning

confidence: 99%

Friction Pressure Correlations of Newtonian and Non-Newtonian Fluids through Concentric and Eccentric Annuli

Silva¹,

Shah²

2000

Proceedings of SPE/ICoTA Coiled Tubing Roundtable

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An experimental study has been conducted to investigate the effects of eccentricity on friction pressure loss calculations for drilling and stimulation fluids. Reynolds number in the range of 800 to 100,000 allowed the analysis of friction pressure losses of non-Newtonian fluids in both concentric and eccentric annuli in laminar and turbulent flow regimes.Analysis of Fanning friction factors as a function of generalized Reynolds number showed that the effects of eccentricity are significant when annular friction pressure losses are estimated. The results demonstrated that the annular pressure losses in a fully eccentric annulus can be as low as 40% of the value in concentric annulus. It was observed that the effect of eccentricity is more evident as the fluid concentration increases. From experimental data obtained in this study, new correlations are proposed to calculate friction pressure losses in concentric and eccentric annuli for laminar and turbulent flow regimes. Though not ideal, these new correlations estimate friction losses in annuli much closer than the previously published equations.

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Study of Friction Factor and Equivalent Diameter Correlations for Annular Flow of Non-Newtonian Drilling Fluids

Cited by 13 publications

References 0 publications

Frictional Pressure Losses for Annular Flow of Drilling Muds

Frictional Pressure Losses for Annular Flow of Drilling Muds

A Generalized and Consistent Pressure Drop and Flow Regime Transition Model for Drilling Hydraulics

Friction Pressure Correlations of Newtonian and Non-Newtonian Fluids through Concentric and Eccentric Annuli

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