A non-singular integral equation formulation to analyse multiscale behaviour in semi-infinite hydraulic fractures

DOI10.1017/jfm.2015.451zbMath1359.76094OpenAlexW2201651704MaRDI QIDQ2810481

Egor V. Dontsov, Anthony P. Peirce

Publication date: 1 June 2016

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2015.451

zbMATH Keywords

porous mediaboundary layer structuremagma and lava flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Seismology (including tsunami modeling), earthquakes (86A15) Volterra integral equations (45D05)

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An unstructured mesh algorithm for simulation of hydraulic fracture ⋮ Sunset similarity solution for a receding hydraulic fracture ⋮ Multiscale tip asymptotics for a deflating hydraulic fracture with leak-off ⋮ PyFrac: a planar 3D hydraulic fracture simulator ⋮ Spatial and temporal constraints of the cohesive modeling: A unified criterion for fluid‐driven fracture ⋮ Integrated simulation of three-dimensional hydraulic fracture propagation and Lagrangian proppant transport in multilayered reservoirs ⋮ Implicit level set algorithms for modelling hydraulic fracture propagation ⋮ Propagation regimes of buoyancy-driven hydraulic fractures with solidification ⋮ Tip region of a hydraulic fracture driven by a laminar-to-turbulent fluid flow ⋮ A multiscale implicit level set algorithm (ILSA) to model hydraulic fracture propagation incorporating combined viscous, toughness, and leak-off asymptotics ⋮ A semi-infinite hydraulic fracture with leak-off driven by a power-law fluid ⋮ A semi-infinite hydraulic fracture driven by a shear-thinning fluid ⋮ Slickwater hydraulic fracture propagation: near-tip and radial geometry solutions

Cites Work

• A Hermite cubic collocation scheme for plane strain hydraulic fractures
• The crack tip solution for hydraulic fracturing in a permeable solid
• Modeling multi-scale processes in hydraulic fracture propagation using the implicit level set algorithm
• Implicit level set schemes for modeling hydraulic fractures using the XFEM
• An implicit level set method for modeling hydraulically driven fractures
• Multiscale tip asymptotics in hydraulic fracture with leak-off
• The Tip Region of a Fluid-Driven Fracture in an Elastic Medium
• Buoyancy-driven crack propagation: the limit of large fracture toughness
• Buoyancy-driven crack propagation: a mechanism for magma migration
• Buoyancy-driven fluid fracture: the effects of material toughness and of low-viscosity precursors
• The crack tip region in hydraulic fracturing

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