A dual mesh multigrid preconditioner for the efficient solution of hydraulically driven fracture problems

DOI10.1002/nme.1330zbMath1138.74412OpenAlexW1991835271MaRDI QIDQ5468844

Anthony P. Peirce, Eduard Siebrits

Publication date: 16 May 2006

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1330

zbMATH Keywords

hydraulic fractureBEMfluid-driven fracturesMultigrid preconditioning

Mathematics Subject Classification ID

Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items

An implicit level set method for modeling hydraulically driven fractures ⋮ On efficient simulation of hydraulic fracturing in terms of particle velocity ⋮ Modeling multi-scale processes in hydraulic fracture propagation using the implicit level set algorithm ⋮ Enrichment strategies and convergence properties of the XFEM for hydraulic fracture problems ⋮ Implicit level set algorithms for modelling hydraulic fracture propagation ⋮ Multigrid reduction preconditioning framework for coupled processes in porous and fractured media ⋮ Self-similar solutions for a fractional thin film equation governing hydraulic fractures ⋮ A multiscale implicit level set algorithm (ILSA) to model hydraulic fracture propagation incorporating combined viscous, toughness, and leak-off asymptotics ⋮ An implicit algorithm for the propagation of a hydraulic fracture with a fluid lag ⋮ Numerical aspects of hydro-mechanical coupling of fluid-filled fractures using hybrid-dimensional element formulations and non-conformal meshes ⋮ A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag

Cites Work

• Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: Asymptotic solutions
• A Multigrid Tutorial, Second Edition