Abstract Development of numerical methods for hydraulic fracture simulation has
accelerated in the past two decades. Recent advances in hydraulic fracture modeling and …

Many numerical modeling techniques have been employed to understand the phenomena
occurring during hydraulic fracturing. Despite the various complex models developed, such …

We develop a new effective mathematical formulation and resulting universal computational
algorithm capable of tackling various HF models in the framework of a unified approach. The …

In this paper, a transient microstructure-oriented numerical simulation of a planar Direct
Internal Reforming Solid Oxide Fuel Cell (DIR-SOFC) is delivered. The performance criteria …

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 operator …

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 …

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 …

In the first part of this paper a universal fluid velocity based algorithm for simulating hydraulic
fracture with leak-off was created for a penny-shaped crack. The power-law rheological …

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 fracturing …

The radial (penny-shaped) model of hydraulic fracture is considered. The tangential traction
on the fracture walls is incorporated, including an updated evaluation of the energy release …