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

This paper re-examines the boundary conditions at the moving front of a hydraulic fracture
when the fluid front has coalesced with the crack edge. This practically important particular …

The existence of bedding planes in natural shale formations makes the fracture
characterization remarkably complicated. To achieve a further understanding of the …

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 …

This work is focused on the development of a dynamic criterion for the arching and bridging
of spherical particles in a 3D suspension flow through a channel with plane walls. Elasticity …

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 …

A new approach to seismic analysis has been introduced and demonstrated for a sequence
of recent seismic events recorded in the Blackpool region of Lancashire, UK. The seismic …

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 …

The geo-mechanical properties of reservoirs, especially the morphology of the rock surface
and the fracture properties of rocks, are of great importance in the modeling and simulation …

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 …