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Implicit level set algorithms for modelling hydraulic fracture propagation (Q2955902)

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Language	Label	Description	Also known as
English	Implicit level set algorithms for modelling hydraulic fracture propagation	scientific article

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scholarly article

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Implicit level set algorithms for modelling hydraulic fracture propagation (English)

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Anthony P. Peirce

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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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publication date

13 January 2017

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1098/rsta.2015.0423

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Buoyancy-driven crack propagation: a mechanism for magma migration

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Buoyancy-driven fluid fracture: the effects of material toughness and of low-viscosity precursors

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Buoyancy-driven fluid fracture: similarity solutions for the horizontal and vertical propagation of fluid-filled cracks

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Buoyancy-driven crack propagation: the limit of large fracture toughness

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Numerical experiments in revisited brittle fracture

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A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium

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Self-similar solutions for elastohydrodynamic cavity flow

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The crack tip region in hydraulic fracturing

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Self-similar solution of a plane-strain fracture driven by a power-law fluid

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Toughness-dominated hydraulic fracture with leak-off

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Plane-Strain Propagation of a Fluid-Driven Fracture: Small Toughness Solution

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Transient solution for a plane-strain fracture driven by a shear-thinning, power-law fluid

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An Asymptotic Framework for the Analysis of Hydraulic Fractures: The Impermeable Case

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Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: Asymptotic solutions

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Mechanics of Hydraulic Fractures

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An implicit level set method for modeling hydraulically driven fractures

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The Tip Region of a Fluid-Driven Fracture in an Elastic Medium

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On the moving boundary conditions for a hydraulic fracture

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The scaled flexibility matrix method for the efficient solution of boundary value problems in 2D and 3D layered elastic media

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An efficient multi-layer planar 3D fracture growth algorithm using a fixed mesh approach

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Coupling schemes for modeling hydraulic fracture propagation using the XFEM

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Enrichment strategies and convergence properties of the XFEM for hydraulic fracture problems

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A localized mixed-hybrid method for imposing interfacial constraints in the extended finite element method (XFEM)

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Implicit level set schemes for modeling hydraulic fractures using the XFEM

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Plane strain analysis of a stationary hydraulic fracture in a poroelastic medium

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

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Level set methods and dynamic implicit surfaces

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Basic Control Volume Finite Element Methods for Fluids and Solids

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The crack tip solution for hydraulic fracturing in a permeable solid

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Multiscale tip asymptotics in hydraulic fracture with leak-off

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

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A fast algorithm for particle simulations

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A spectral multipole method for efficient solution of large‐scale boundary element models in elastostatics

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A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices

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Localized Jacobian ILU preconditioners for hydraulic fractures

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Modeling multi-scale processes in hydraulic fracture propagation using the implicit level set algorithm

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Fingering instability in buoyancy-driven fluid-filled cracks

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Monitoring hydraulic fractures: state estimation using an extended Kalman filter

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An integrated extended Kalman filter–implicit level set algorithm for monitoring planar hydraulic fractures

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1098/RSTA.2015.0423

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Sitelinks

Mathematics(1 entry)

mardi Publication:2955902

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