Flow of bi-viscous fluid, i.e., non-Newtonian fluid with the shear stress versus shear rate function composed of two straight segments, from a borehole into a nonpropagating deformable horizontal fracture of circular shape was modeled within the lubrication approximation. The volume of the fluid lost into the fracture was found to be an almost-linearly decreasing function of the fluid yield stress and a linearly increasing function of the borehole pressure, under assumption of linear fracture deformation law. The model developed serves as a first approximation of mud loss during drilling of low-permeability naturally fractured rocks.
Issue Section:
Technical Briefs
Keywords:
non-Newtonian fluids,
non-Newtonian flow,
rocks,
fracture,
shear flow,
lubrication,
yield stress,
deformation,
drilling,
rheology
1.
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.Copyright © 2006
by American Society of Mechanical Engineers
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