Frictional Pressure Losses for the Flow of Drilling Mud and Mud/Gas Mixtures

Langlinais, J.P.; Bourgoyne, A.T.; Holden, W.R.

doi:10.2118/11993-ms

Cited by 15 publications

(6 citation statements)

References 7 publications

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“…These data were two different drilling fluids flowing in different size annuli, and all conduit sections were 10.973 m long and effectively smooth. The second source of experimental data is the published work by Langlinais et al collected with Louisiana State University's 1829 m deep test well. The third set of experimental data is from the work by Subramanian, who measured pressure drops for a wide variety of drilling fluids in a large loop operated by Amoco.…”

Section: Resultsmentioning

confidence: 99%

A new utility calculation model for axial flow of non‐Newtonian fluid in concentric annuli

et al. 2014

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A new utility approach that is independent of the rheological model is presented for the flow of non‐Newtonian fluids in concentric annulus. The novel model was developed without assuming that the generalised flow index remains constant over all shear rate ranges. Based on the slot model, the flow rate expressions for all common rheological models flowing in annuli were obtained, such as the Herschel–Bulkley model, the Robertson–Stiff model, and the Four‐parameter model, and they all can be solved numerically to obtain accurate wall shear rate and shear stress. Following Metzner and Reed's study, we defined a generalised flow index for non‐Newtonian fluid flow in annuli. Through a theoretical analysis, we also defined a new effective diameter for non‐Newtonian fluid flow in annuli, which accounts for the effects both of annulus geometry and fluid rheology but which is different from that was proposed by Reed and Pilehvari. Through the generalised effective diameter we linked non‐Newtonian annular flow with Newtonian pipe flow. A general annular Reynolds number expression was derived from this method for conditions under which the generalised flow index is variable. A theoretical calculation method for the generalised flow index and a uniform pressure loss calculation model for non‐Newtonian flow in concentric annuli were developed, which are applicable to all time‐independent non‐Newtonian fluid. The predictions of this model have been compared with an extensive set of data from the literature. The comparisons of different fluids in different size annuli show very good agreement over the entire range of flow types.

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Section: Resultsmentioning

confidence: 99%

A new utility calculation model for axial flow of non‐Newtonian fluid in concentric annuli

et al. 2014

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“…More specifically, experimental data for laminar flow in concentric annulus, presented by Fordham et al (1991), Okafor and Evers (1992) and Hansen et al (1999) will be used for laminar flow. Similarly, controlled field data provided by Langlinais et al (1983) will be used to cover all three flow regime types, laminar, transitional and turbulent flows. Comparison of the predictions of this work with predictions from full simulators (Hanks, 1979;Fordham et al, 1991) will also be performed.…”

Section: Resultsmentioning

confidence: 99%

Laminar, transitional and turbulent flow of Herschel–Bulkley fluids in concentric annulus

Founargiotakis

Kelessidis

Maglione³

2008

Can J Chem Eng

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An integrated approach is presented for the flow of Herschel-Bulkley fluids in a concentric annulus, modelled as a slot, covering the full range of flow types, laminar, transitional, and turbulent flows. Prior analytical solutions for laminar flow are utilized. Turbulent flow solutions are developed using the Metzner-Reed Reynolds number after determining the local power law parameters as functions of flow geometry and the Herschel-Bulkley rheological parameters. The friction factor is estimated by modifying the pipe flow equation. Transitional flow is solved introducing transitional Reynolds numbers which are functions of the local power law index. Thus, an integrated, complete and consistent set, combining analytical, semi-analytical and empirical equations, is provided which describe fully the flow of Herschel-Bulkley fluids in concentric annuli, modelled as a slot. The comparison with experimental and simulator data from various sources shows very good agreement over the entire range of flow types.On présente une méthode intégrée pour l'écoulement des fluides d'Herschel-Bulkley dans un espace annulaire concentrique représenté par une fente, couvrant la gamme complète des types d'écoulement,à savoir laminaire, en transition et turbulent. Des solutions analytiques antérieures sont utilisées pour l'écoulement laminaire. Des solutions d'écoulement turbulent sontélaboréesà l'aide du nombre de Reynolds de Metzner-Reed après avoir déterminé les paramètres de loi de puissance locaux en fonction de la géométrie de l'écoulement et des paramètres rhéologiques d'Herschel-Bulkley. Le facteur de friction est estimé en modifiant l'équation d'écoulement dans un tube. L'écoulement en transition est résolu en introduisant les nombres de Reynolds exprimés en fonction de l'indice de loi de puissance local. Ainsi, un ensemble intégré, complet et consistant, combinant deséquations analytiques, semi-analytiques et empiriques, est fourni, qui décrit entièrement l'écoulement des fluides d'Herschel-Bulkley dans des espaces annulaires concentriques représentés par des fentes. La comparaison avec les données expérimentales et les données de simulateurs de diverses sources montre un très bon accord pour la gamme complète des types d'écoulement.

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“…All conduit sections were 10.9728 m long and effectively smooth. The second source of experiment data is the published work by Langlinais et al (1983), collected with Louisiana State University's (LSU) 6,000 ft deep test well.…”

Section: Experimental Flow Data From the Literaturementioning

confidence: 99%

Correlation of Rheometric Data and Hydraulic Calculations Using Four-Parameter Rheological Model

Wang

Fan

Zhang

et al. 2011

Petroleum Science and Technology

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The authors present a new and powerful rheological model: the fourparameter (FP) model. A rheological parameters calculation model was built based on regression method. On the basis of several test data, an evaluation of the FP model with other models was made. A generalized hydraulic calculation model was developed based on the power law extension method. The predictions of the developed method have been compared with several sets of experimental hydraulic data from different sources. The generalized hydraulic calculation model is shown to be quite accurate and superior to those obtained by the presently available standard techniques.

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Frictional Pressure Losses for the Flow of Drilling Mud and Mud/Gas Mixtures

Cited by 15 publications

References 7 publications

A new utility calculation model for axial flow of non‐Newtonian fluid in concentric annuli

A new utility calculation model for axial flow of non‐Newtonian fluid in concentric annuli

Laminar, transitional and turbulent flow of Herschel–Bulkley fluids in concentric annulus

Correlation of Rheometric Data and Hydraulic Calculations Using Four-Parameter Rheological Model

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