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

Although hydraulic fracturing is a mature technology that has been used commercially since
the late 1940s, the development of unconventional hydrocarbon fields with the combination …

Flow of non-Newtonian fluids in rock fractures is ubiquitous in engineering practice and
involves eg cement flow in tunnel grouting, drilling fluid flow when a fracture is met during …

We present a new pore pressure cohesive element for modeling the propagation of
hydraulically induced fracture. The Park-Paulino-Roesler cohesive zone model has been …

Hydraulic fracturing is an efficiency approach to improve underground gas drainage.
Although the interaction of fluid and coal has been comprehensively investigated in …

The finite element method is a powerful and general numerical method used to simulate
subsurface processes. In this paper, we take recent hydraulic fracturing propagation …

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 …

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

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 …

This article revisits the formulation of the J‐integral in the context of hydraulic fracture
mechanics. We demonstrate that the use of the classical J‐integral in finite element models …