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Computational Rheology for Pipeline and Annular Flow by Wilson C. Chin PhD

By Wilson C. Chin PhD

Computational Rheology for Pipeline and Annular circulation develops and applies glossy analytical and computational finite distinction tools for fixing circulation difficulties in drilling and construction. It additionally presents helpful insights into move insurance research in subsea pipeline layout. utilizing modeling options that simulate the movement of non-Newtonian fluids, e.g., strength legislations, Bingham plastic, and Herschel-Bulkley flows, this booklet provides confirmed annular circulate methodologies for cuttings shipping and fixed pipe research in line with distinct experimental facts received from hugely deviated and horizontal wells. those tools are utilized for hugely eccentric borehole geometries to the layout of pipeline bundles in subsea purposes, the place such annular configurations come up in pace and thermal modeling purposes.

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For most annular geometries of practical interest, mesh generation requires approximately five seconds of computing time on Pentium machines. Once the host mesh is available, any number of “what if” scenarios for differing rheologies or net flow rates can be efficiently evaluated, these simulations again requiring five seconds. This chapter derives the basic ideas from first principles and explains them mathematically. However, the reader who is more interested in practical applications may, without loss of continuity, proceed directly to those sections.

Numerical results along the vertical line of symmetry are given in Table 2-6. These numbers represent upper and lower velocity profiles; again, note the exact implementation of no-slip conditions. 0000E+00 Fluid viscosity is important to cuttings transport, and plays a dominant role in near-vertical holes. For example, in Newtonian flows the drag force acting on a slowly moving small particle is proportional to the product of viscosity and the relative speed. In power law flows, the apparent viscosity varies with space, but a similar correlation may apply.

Results for the viscous stresses “Apparent Viscosity × dU(y,x)/dx” and “Apparent Viscosity × dU(y,x)/dx” are given in Figures 2-5e and 2-5f and Tables 2-3 and 2-4. 42 Computational Rheology Table 2-2 Example 1: Apparent Viscosity (lbf sec/in2) Results # 7 X= # 8 X= # 9 X= # 10 X= # 11 X= for pipe/collar boundary, Contour No. 5558E-05 Results for Contour No. 1577E-04 Results for borehole annular boundary, Contour No. 5790E-05 Table 2-3 Example 1: Stress “AppVisc × dU(y,x)/dx” (psi) for pipe/collar boundary, Contour No.

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