An approximate solution for a penny-shaped hydraulic fracture that accounts for fracture toughness, fluid viscosity and leak-off

EV Dontsov - Royal Society open science, 2016 - royalsocietypublishing.org
This paper develops a closed-form approximate solution for a penny-shaped hydraulic
fracture whose behaviour is determined by an interplay of three competing physical …

A review of PKN-type modeling of hydraulic fractures

HT Nguyen, JH Lee, KA Elraies - Journal of Petroleum Science and …, 2020 - Elsevier
Many numerical modeling techniques have been employed to understand the phenomena
occurring during hydraulic fracturing. Despite the various complex models developed, such …

A multiscale implicit level set algorithm (ILSA) to model hydraulic fracture propagation incorporating combined viscous, toughness, and leak-off asymptotics

EV Dontsov, AP Peirce - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
This study uses an Implicit Level Set Algorithm (ILSA) to model the propagation of planar
hydraulic fractures in situations when their progress is determined by an interplay of fluid …

An approximate solution for a plane strain hydraulic fracture that accounts for fracture toughness, fluid viscosity, and leak-off

EV Dontsov - International Journal of Fracture, 2017 - Springer
The goal of this paper is to develop an approximate solution for a propagating plane strain
hydraulic fracture, whose behavior is determined by a combined interplay of fluid viscosity …

[HTML][HTML] Analysis of a constant height hydraulic fracture driven by a power-law fluid

EV Dontsov - Rock Mechanics Bulletin, 2022 - Elsevier
The focus of this study is to analyze a parametric space for the problem of a constant height
hydraulic fracture driven by a power-law fluid. The interplay of physical mechanisms related …

Tracer dispersion due to non-Newtonian fluid flows in hydraulic fractures with different geometries and porous walls

NM Brown, M Dejam - Journal of Hydrology, 2023 - Elsevier
Tracer transport in hydraulic fractures is substantially affected by the rock matrix surrounding
them. Nevertheless, there is not yet an expression in literature to address the relationship …

Multiscale tip asymptotics for a deflating hydraulic fracture with leak-off

A Peirce, E Detournay - Journal of Fluid Mechanics, 2022 - cambridge.org
This paper deals with the construction of the tip asymptotes for a hydraulic fracture deflating
in a permeable elastic medium. Specifically, the paper describes the changing nature of the …

[HTML][HTML] Propagation of a plane-strain hydraulic fracture accounting for a rough cohesive zone

D Liu, B Lecampion - Journal of the Mechanics and Physics of Solids, 2021 - Elsevier
The quasi-brittle nature of rocks challenges the basic assumptions of linear hydraulic
fracture mechanics (LHFM): namely, linear elastic fracture mechanics and smooth parallel …

Numerical methods for coupled fracture problems

RC Viesca, DI Garagash - Journal of the Mechanics and Physics of Solids, 2018 - Elsevier
We consider numerical solutions in which the linear elastic response to an opening-or
sliding-mode fracture couples with one or more processes. Classic examples of such …

Slickwater hydraulic fracture propagation: near-tip and radial geometry solutions

B Lecampion, H Zia - Journal of Fluid Mechanics, 2019 - cambridge.org
We quantify the importance of turbulent flow on the propagation of hydraulic fractures (HF)
accounting for the addition of friction reducing agents to the fracturing fluid (slickwater fluid) …