Abstract
A mathematical description of the Quemada rheological model is given, focusing on realistic drilling fluids. The purpose of the work described is to derive results that are required for robust, accurate, and efficient implementations of the model. Challenges related to non-monotonic shear stress vs. shear rate for fluids with high yield stress are discussed and solutions are suggested. A brief discussion of the Quemada model’s connection with chemistry and physics, which is an important motivation for using it, is included.
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