47 citations · 198 across the 16 of their papers we have counts for
17 papers
On the pressure decline analysis for hydraulic fractures in elasto-plastic materials
Michal Wrobel, Panos Papanastasiou, Martin Dutko
In this paper the problem of a plane strain hydraulic fracture in elasto-plastic material is analyzed. The analysis is based on Finite Element Method computations of crack propagat…
Numerical simulation of hydraulic fracturing: a hybrid FEM based algorithm
Michal Wrobel, Panos Papanastasiou, Daniel Peck
In this paper a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution is proposed for the plain strain model of hydraulic fractur…
A simplified modelling of hydraulic fractures in elasto-plastic materials
Michal Wrobel, Panos Papanastasiou, Daniel Peck
In this paper the problem of a plane strain hydraulic fracture propagating in an elasto-plastic material is analyzed. A new stress redistribution model for the proximity of the fra…
Energy Release Rate, the crack closure integral and admissible singular fields in Fracture Mechanics
Andrea Piccolroaz, Daniel Peck, Michal Wrobel +1
One of the assumptions of Linear Elastic Fracture Mechanics is that the crack faces are traction-free or, at most, loaded by bounded tractions. The standard Irwin's crack closure i…
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…
Redirection of a crack driven by viscous fluid taking into account plastic effects in the process zone
M. Wrobel, A. Piccolroaz, P. Papanastasiou +1
In this paper the problem of redirection of a crack driven by viscous fluid under mixed mode loading is considered. The loading includes the classical Modes I - III and the hydraul…
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…
Mathematical modelling of Solid Oxide Fuel Cells revisited -- a modified formulation of the problem
Michal Wrobel, Grzegorz Brus
In the paper a mathematical model of the PEN structure (positive electrode - electrolyte - negative electrode) of the Solid Oxide Fuel Cell (SOFC) is analyzed. It is proved that cl…
Redirection of a crack driven by viscous fluid
Monika Perkowska, Andrea Piccolroaz, Michal Wrobel +1
As shown by Wrobel et al. (2017), the hydraulically induced tangential traction on fracture walls changes local displacement and stress fields. This resulted in the formulation of…
Energy Release Rate in hydraulic fracture: can we neglect an impact of the hydraulically induced shear stress?
Michal Wrobel, Gennady Mishuris, Andrea Piccolroaz
A novel hydraulic fracture (HF) formulation is introduced which accounts for the hydraulically induced shear stress at the crack faces. It utilizes a general form of the elasticity…
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…
Efficient pseudo-spectral solvers for the PKN model of hydrofracturing
Michal Wrobel, Gennady Mishuris
In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers based on this approach compute both the…
Remarks on application of different variables for the PKN model of hydrofracturing. Various fluid-flow regimes
P. Kusmierczyk, G. Mishuris, M. Wrobel
The problem of hydraulic fracture for the PKN model is considered within the framework presented recently by Linkov (2011). The modified formulation is further enhanced by employin…
On modeling hydraulic fracture in proper variables: stiffness, accuracy, sensitivity
Gennady Mishuris, Michal Wrobel, Alexander Linkov
The problem of hydraulic fracture propagation is considered by using its recently suggested modified formulation in terms of the particle velocity, the opening in the proper degree…