On influence of shear traction on hydraulic fracture propagation

The paper concerns with the problem important for proper simulation of hydraulic fractures. Its objective is to answer the recently raised question: Can we neglect the impact of the hydraulically induced shear stress when using the elasticity equation, which connects the fracture opening with the net-pressure? The estimations, given in the paper, show that the answer is “Yes”. The impact can be confidently neglected. Its influence is well beyond physical significance, computational abilities of computers and practical applications of HF.