Low rayleigh number conjugate convection in straight inclined fractures in rock
This investigation explores the natural convection in a water-filled straight inclined fracture in rock subject to a uniform background temperature increasing with depth. The numerical solutions cover aspect ratios from 2 to SO, with Rayleigh numbers of magnitude I, 10, and 100. The inclination angle ranges from 0° to 90° to the horizontal. The results demonstrate that a straight inclined fracture experiences a gradient-driven convection flow whose strength is strongly dependent on aspect ratio. The flow increases as the fracture angle changes from either purely horizontal or purely vertical, with a maximum at 4S°. It is observed that fractures with an aspect ratio as low as 10 exhibit average velocities at the midplane of nearly 90% of the values calculated from the analytical solution for the infinite aspect ratio limit. © 1995 Taylor and Francis Group, LLC.
Shaughnessy, EJ; Van Gilder, JW
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