An Explicit and Continuously Differentiable Flow Equation for Non-Newtonian Fluids in Pipes
- Kristian Gjerstad (Teknova AS and Aker Solutions) | B. Erik Ydstie (Carnegie Mellon University) | Rune W. Time (University of Stavanger) | Knut S. Bjørkevoll (SINTEF Petroleum Research)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- February 2014
- Document Type
- Journal Paper
- 78 - 87
- 2013. Society of Petroleum Engineers
- 1.6 Drilling Operations
- 9 in the last 30 days
- 415 since 2007
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A simple model approximates Herschel-Bulkley (HB) non-Newtonian fluids in laminar flow in pipes. It is continuously differentiable and explicit in the frictional pressure gradient. Such properties are needed for control, real-time optimization, and prediction in drilling operations. The accuracy of the new model is evaluated by comparing it with a numerical implementation of the implicit HB model and some representative approximations used in the literature. Very little loss in accuracy is experienced compared with the implicit solution.
|File Size||732 KB||Number of Pages||10|
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