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.
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Modeling Flow of a Biviscous Fluid From Borehole Into Rock Fracture
SINTEF Petroleum Research, Formation Physics Department, 7465 Trondheim, Norway
Lavrov, A. (March 9, 2005). "Modeling Flow of a Biviscous Fluid From Borehole Into Rock Fracture." ASME. J. Appl. Mech. January 2006; 73(1): 171–173. https://doi.org/10.1115/1.2061927
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