Mater.Phys.Mech.(MPM)
No 1, Vol. 40, 2018, pages 37-46

TWO-DIMENSIONAL MODEL FOR HYDRAULIC FRACTURING WITH FOAMS

I.D. Antonov, A.V. Porubov, N.M. Bessonov

Abstract

A simple and accurate model of foam hydraulic fracturing is developed with both compressibility and rheology being taken into account. The governing equations for a compressible power-law fracturing fluid are derived for the classical PKN fracture geometry. Numerical simulations reveal an influence of compressibility and rheology on the temporal evolution of the fracture opening.

Keywords: hydraulic fracturing, compressibility, rheology, foam, numerical solution

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