Mb. Smith et al., Enhanced 2D proppant-transport simulation: The key to understanding proppant flowback and post-frac productivity, SPE PROD FA, 16(1), 2001, pp. 50-57
It has been assumed that along with fluid viscosity and pump rate, gravity
dominates final proppant placement in hydraulic fractures. Results here, ba
sed on detailed multiphase-flow modeling, show that other factors such as s
lurry rheology (effect of adding proppant on slurry viscosity), fluid loss
and layered fluid loss, and vertical fracture-width variations often are mo
re important than gravity in controlling placement.