Fluid velocity based simulation of hydraulic fracture: a penny shaped model—part I: the numerical algorithm
Fluid velocity based simulation of hydraulic fracture: a penny shaped model—part I: the numerical algorithm
In the first part of this paper, a universal fluid velocity based algorithm for simulating hydraulic fracture with leak-off, previously demonstrated for the PKN and KGD models, is extended to obtain solutions for a penny-shaped crack. The numerical scheme is capable of dealing with both the viscosity and toughness dominated …