SPE Drilling & Completion
Volume 24, Number 4, December 2009, pp. 553-563

SPE-111514-PA

Generalized Hydraulic Calculation Method for Axial Flow of Non-Newtonian Fluids in Eccentric Annuli

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DOI  More information 10.2118/111514-PA http://dx.doi.org/10.2118/111514-PA

Citation

  • Pilehvari, A. and Serth, R. 2009. Generalized Hydraulic Calculation Method for Axial Flow of Non-Newtonian Fluids in Eccentric Annuli. SPE Drill & Compl  24 (4): 553-563. SPE-111514-PA. doi: 10.2118/111514-PA.

Discipline Categories

  • 1 Drilling and Completions

Keywords

  • generalized hydraulic calculations, annular/axial flow, eccentric annuli, non-Newtonian fluid flow, rehology of oil field fluids

Summary

The flow of non-Newtonian fluids through eccentric annuli is prevalent during drilling and cementing operations of directional and horizontal wells. The flow pattern in an eccentric annulus can differ greatly from that in a concentric annulus, and this difference affects both the pressure drop and the flow rate at which the laminar-turbulent transition occurs. Errors resulting from ignoring the effect of eccentricity on frictional pressure drop and equivalent circulating density can lead to formation fracture or well-control problems in some situations.

In this paper, a new method is presented for calculating pressure losses in eccentric annuli. The method is based on an effective diameter that accounts for the effects of both conduit geometry and fluid rheology. Predictions of the method are compared with an extensive set of data for drilling fluids obtained from a large-scale flow loop. The results demonstrate that the new method is capable of reliably predicting the pressure drop of most drilling fluids in both laminar and turbulent flow regimes for eccentric annular geometries of practical interest.

Introduction

The flow of non-Newtonian fluids through eccentric annuli occurs during drilling and cementing operations for oil and gas wells. Approximate and exact (numerical) solutions to the fundamental flow equations in this geometry have been published for Bingham plastic, power-law, and yield-power-law fluids. The purpose of this article is to present a generalized method for computing frictional pressure losses in eccentric annuli that is applicable to a wide variety of drilling fluids. Predictions obtained with the new method are compared with experimental data from a large flow loop that are available in the literature.

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History

  • Original manuscript received: 30 May 2007
  • Revised manuscript received: 25 November 2008
  • Manuscript approved: 22 January 2009
  • Published online: 17 September 2009
  • Version of record: 23 December 2009