TY - JOUR

T1 - Universal hydrofracturing algorithm for shear-thinning fluids

T2 - Particle velocity based simulation

AU - Perkowska, Monika

AU - Wrobel, Michal

AU - Mishuris, Gennady

N1 - This is the author accepted manuscript. The final version is available from Elsevier via http://dx.doi.org/10.1016/j.compgeo.2015.10.005

PY - 2016/1/1

Y1 - 2016/1/1

N2 - A universal particle velocity based algorithm for simulating hydraulic fractures, previously proposed for Newtonian fluids, is extended to the class of shear-thinning fluids. The scheme is not limited to any particular elasticity operator or crack propagation regime. The computations are based on two dependent variables: the crack opening and the reduced particle velocity. The application of the latter facilitates utilization of the local condition of Stefan type (speed equation) to trace the fracture front. The condition is given in a general explicit form which relates the crack propagation speed (and the crack length) to the solution tip asymptotics. The utilization of a modular structure, and the adaptive character of its basic blocks, result in a flexible numerical scheme. The computational accuracy of the proposed algorithm is validated against a number of analytical benchmark solutions.

AB - A universal particle velocity based algorithm for simulating hydraulic fractures, previously proposed for Newtonian fluids, is extended to the class of shear-thinning fluids. The scheme is not limited to any particular elasticity operator or crack propagation regime. The computations are based on two dependent variables: the crack opening and the reduced particle velocity. The application of the latter facilitates utilization of the local condition of Stefan type (speed equation) to trace the fracture front. The condition is given in a general explicit form which relates the crack propagation speed (and the crack length) to the solution tip asymptotics. The utilization of a modular structure, and the adaptive character of its basic blocks, result in a flexible numerical scheme. The computational accuracy of the proposed algorithm is validated against a number of analytical benchmark solutions.

KW - hydraulic fracture

KW - PKN and KGD models

KW - speed equation

KW - numerical simulations

UR - http://hdl.handle.net/2160/42666

U2 - 10.1016/j.compgeo.2015.10.005

DO - 10.1016/j.compgeo.2015.10.005

M3 - Article

SN - 0266-352X

VL - 71

SP - 310

EP - 337

JO - Computers and Geotechnics

JF - Computers and Geotechnics

ER -