Axial laminar flow of a viscoplastic fluid in an annular tube

Bostandzhiyan, S. A.

doi:10.1007/bf00827853

Cited by 1 publication

(1 citation statement)

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“…Although the mathematical formulation for axial flow of Bingham's plastic fluid in concentric annulus has broad mathematical development (van Olphen, 1950;Slibar & Paslay, 1957;Bostandzhiyan, 1970;Anshus, 1974), as cited in the review by Bird et al (1983), many non-Newtonian fluids (particularly sludge and suspensions) are not well represented either by the Bingham model or by power fluid models. Therefore, a combined formulation with three variables (instead of only two) resulting from the Herschel-Bulkley model is necessary (Herschel & Buckley, 1926).…”

Section: Mathematical Modellingmentioning

confidence: 99%

Numerical Simulation of Drilling Fluid Behavior in Different Depths of an Oil Well

Gomes

Marinho

Santos

2019

BJPG

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When drilling an oil well, a viscous fluid is injected to aid drilling. This fluid is also responsible for removing the cuttings and maintaining structural stability of well. The rheology of this drilling fluid has a direct influence on the cleaning of the well, on the dynamics of the fluid in pipe and annular areas. Linear mathematical extrapolations for high pressure and high temperature environments can lead to rheology errors up to 75%. In this study, a finite volume model was developed to simulate the flow of a waterbased mud in annular and jetting environments in the drilling environment. Annulars were made by steel pipes and permeable formations. The fluids evaluated were developed empirically with xanthan gum and bentonite clay. The numerical results are consistent with literature and represent characteristics of a Yield Power Law fluid and a Bingham plastic. A comparison was made with water, allowing a correlation between rheological effects and fluid dynamics in annular and high vorticity regions.

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