47 citations · 198 across the 16 of their papers we have counts for
6 papers · 1 filter
On the application of simplified rheological models of fluid in the hydraulic fracture problems
Michal Wrobel
In this paper we analyse a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning fluid. For the PKN fracture geometry we consider three different rheological mod…
On the influence of fluid rheology on hydraulic fracture
Michal Wrobel, Gennady Mishuris, Panos Papanastasiou
We analyse a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning fluid. Fluid viscosity is described by the four-parameter truncated power-law model. By varyin…
An efficient algorithm of solution for the flow of generalized Newtonian fluid in channels of simple geometries
Michal Wrobel
In this paper a problem of stationary flow of generalized Newtonian fluid in a thin channel is considered. An efficient algorithm of solution is proposed that includes a flexible p…
Universal hydrofracturing algorithm for shear-thinning fluids: particle velocity based simulation
Monika Perkowska, Michal Wrobel, Gennady Mishuris
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 s…
Particle velocity based universal algorithm for numerical simulation of hydraulic fractures
Michal Wrobel, Gennady Mishuris
In the paper, we propose a new effective mathematical formulation and resulting universal numerical algorithm capable of tackling various HF models in the framework of a unified ap…
Moving stone in the Hele-Shaw flow
Gennady Mishuris, Sergei Rogosin, Michal Wrobel
Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilises the uniform asymptotic formulas for Green's and Neumann functio…