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  4. Effects of velocity-dependent apparent toughness on the pre- and post-shut-in growth of a hydraulic fracture
 
research article

Effects of velocity-dependent apparent toughness on the pre- and post-shut-in growth of a hydraulic fracture

Liu, Dong  
•
Lu, Guanyi  
December 19, 2022
Computers And Geotechnics

We investigate the growth of a plane-strain/radial hydraulic fracture in an infinite impermeable medium driven by a constant injection rate assuming that the apparent toughness scales with the decreasing fracture growth rate in a power-law relation. The viscosity dominated regime always governs the fracture growth at large time for the plane-strain geometry. For a radial hydraulic fracture, we report a transition from early-time fracture growth dominated by viscous fluid flow to large-time propagation dominated by fracture toughness. Such a transition results from an overall increase of the energy dissipation by fracture surface creation. After shut-in, both plane-strain and radial fractures propagate at a lower velocity with decreasing fracture toughness. The fracture growth then depends on the dimensionless toughness at the stop of fluid injection and transitions towards a self-similar pulse-viscosity solution when viscous fluid flow dominates the energy dissipation. The fracture arrests when fulfilling two conditions - the apparent toughness reaching its minimum, and viscous forces being negligible in the fluid flow. The fracture dimension at arrest is independent of the velocity-dependent power-law relation.

  • Details
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Type
research article
DOI
10.1016/j.compgeo.2022.105195
Web of Science ID

WOS:000911584500001

Author(s)
Liu, Dong  
Lu, Guanyi  
Date Issued

2022-12-19

Publisher

ELSEVIER SCI LTD

Published in
Computers And Geotechnics
Volume

155

Article Number

105195

Subjects

Computer Science, Interdisciplinary Applications

•

Engineering, Geological

•

Geosciences, Multidisciplinary

•

Computer Science

•

Engineering

•

Geology

•

hydraulic fracture

•

rate-dependent toughness

•

sub-critical fracture growth

•

gauss-chebyshev quadrature

•

barycentric interpolations

•

fluid-driven fracture

•

subcritical crack-growth

•

plane-strain propagation

•

dynamic fracture

•

loading rate

•

advancement

•

simulation

•

rocks

•

flow

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
GEL  
Available on Infoscience
January 30, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/194401
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