Managed Pressure Drilling. Modeling, Strategy and Planning by Wilson C. Chin PhD

By Wilson C. Chin PhD

  • ''The writer extends his previous paintings on modeling annular flows in controlled strain drilling (Borehole Flow Modeling in Horizontal, Deviated and Vertical Wells, 1992, and Computational Rheology for Pipeline and Annular Flows, 2001), conserving the curvilinear grid know-how hired within the prior books as his mathematical origin, yet summarizing significant methodological advancements in accuracy, velocity, and engineering concentration. The textual content covers the mathematical conception, numerical implementation, resource code examples, and computational validations, usually with comparisons to laboratory and box info and results.''--Reference and learn e-book information, August 2012, web page 263


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32) @Szy =@y 1 @Szx =@x 5 @P=@z 5 constant where the constant pressure gradient @P/@z is prescribed. 7. 14. This equation, together with extensions for rotation and complicated rheological effects, is solved exactly in our software models. Our only purpose in writing it down explicitly here is to provide a “live” example showing why nonlinear effects are complicated. 34 to the classical Poisson equation @2u/@y2 1 @2u/@x2 5 (1/μ) @P/@z, with several important properties. For example, doubling the pressure gradient while doubling the viscosity leaves u(y,x) unchanged: Only the lumped driver (1/μ) @P/@z appears.

The former provides fast, automated calculations, taking advantage of mathematical simplifications offered by Newtonian fluids, while the latter, with more general capabilities, handles all fluid types for concentric or eccentric holes that may contain nonrotating or rotating pipe. 35 deal with “macroscopic” properties, the “Zoom3D” menu options provide “microscopic” solutions. 37. Execution details are offered in Chapter 9. 38, “Non-Newtonian mixtures, rotating,” again, handles general non-Newtonian rheologies with pipes that may be rotating.

Simple rescaling arguments cannot be used to deduce flow properties for u(y,z) because the governing equations are extremely complicated in form. • For non-Newtonian flows, laboratory testing and extrapolation are not possible because of the foregoing complications—hence, the only recourse for prediction and job planning is full-scale testing with actual nonlinear fluids or, alternatively, detailed computational fluid-dynamics analysis. 3, together with the related discussions, are obtained from correspondence with John Lofton, of Chevron, to whom the author is grateful.

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