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Fully-automated adaptive mesh refinement for media embedding complex heterogeneities: application to poroelastic fluid pressure diffusion

https://doi.org/10.1007/s10596-019-09928-2
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Numerical upscaling in 2‐D heterogeneous poroelastic rocks: Anisotropic attenuation and dispersion of seismic waves
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Seismic Attenuation and Stiffness Modulus Dispersion in Porous Rocks Containing Stochastic Fracture Networks
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Do seismic waves sense fracture connectivity?
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A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
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Mixed and Hybrid Finite Element Methods
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Adaptive Numerical Simulation of Dynamic Contact Problems
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On the Stabilization of Finite Element Approximations of the Stokes Equations
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libMesh : a C++ library for parallel adaptive mesh refinement/coarsening simulations
inferredcites →https://doi.org/10.1007/s00607-005-0150-2openalex-snapshot
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients
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Adaptive multigrid methods for Signorini's problem in linear elasticity
inferredcites →https://doi.org/10.1016/0021-9991(89)90035-1openalex-snapshot
Local adaptive mesh refinement for shock hydrodynamics
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A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics
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On the finite element method on quadrilateral meshes
inferredcites →https://doi.org/10.1016/j.camwa.2017.02.005openalex-snapshot
Stress and flux reconstruction in Biot’s poro-elasticity problem with application to a posteriori error analysis
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The finite cell method for three-dimensional problems of solid mechanics
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A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media
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Numerical homogenization of mesoscopic loss in poroelastic media
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An adaptive mesh refinement method for a medium with discrete fracture network: The enriched Persson’s method
inferredcites →https://doi.org/10.1016/j.jcp.2005.03.026openalex-snapshot
Multigrid elliptic equation solver with adaptive mesh refinement
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MOOSE: A parallel computational framework for coupled systems of nonlinear equations
inferredcites →https://doi.org/10.1016/s0045-7825(99)00242-xopenalex-snapshot
Multifrontal parallel distributed symmetric and unsymmetric solvers
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The Rock Physics Handbook
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Hydraulic properties of two‐dimensional random fracture networks following a power law length distribution: 1. Effective connectivity
inferredcites →https://doi.org/10.1029/2003jb002639openalex-snapshot
Seismic attenuation due to wave‐induced flow
inferredcites →https://doi.org/10.1029/2006jb004592openalex-snapshot
Poroelastic finite difference modeling of seismic attenuation and dispersion due to mesoscopic‐scale heterogeneity
inferredcites →https://doi.org/10.1029/2010jb007475openalex-snapshot
Quasi-static finite element modeling of seismic attenuation and dispersion due to wave-induced fluid flow in poroelastic media
inferredcites →https://doi.org/10.1029/2010jb007983openalex-snapshot
Seismic attenuation due to patchy saturation
inferredcites →https://doi.org/10.1051/m2an:2008048openalex-snapshot
A posteriorierror analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
inferredcites →https://doi.org/10.1061/9780784412992.110openalex-snapshot
A Stability Condition for the Numerical Simulation of Poroelastic Systems
inferredcites →https://doi.org/10.1061/9780784480779.021openalex-snapshot
An Accuracy Condition for the Finite Element Discretization of Biot’s Equations on Triangular Meshes
inferredcites →https://doi.org/10.1061/9780784480779.194openalex-snapshot
Seismic Attenuation in Realistic Fracture Networks
inferredcites →https://doi.org/10.1063/1.1712886openalex-snapshot
General Theory of Three-Dimensional Consolidation
inferredcites →https://doi.org/10.1063/1.1728759openalex-snapshot
Mechanics of Deformation and Acoustic Propagation in Porous Media
inferredcites →https://doi.org/10.1090/s0025-5718-07-01973-4openalex-snapshot
Robust norm equivalencies for diffusion problems
inferredcites →https://doi.org/10.1121/1.1381021openalex-snapshot
Theory of frequency dependent acoustics in patchy-saturated porous media
inferredcites →https://doi.org/10.1121/1.1908239openalex-snapshot
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range
inferredcites →https://doi.org/10.1121/1.1908241openalex-snapshot
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
inferredcites →https://doi.org/10.1121/1.1995164openalex-snapshot
Low-frequency seismic waves in fluid-saturated layered rocks
inferredcites →https://doi.org/10.1121/1.407101openalex-snapshot
Low-frequency dispersion and attenuation in partially saturated rocks
inferredcites →https://doi.org/10.1137/050628854openalex-snapshot
Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements
inferredcites →https://doi.org/10.1137/0733054openalex-snapshot
A Convergent Adaptive Algorithm for Poisson’s Equation
inferredcites →https://doi.org/10.1137/090747774openalex-snapshot
A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
inferredcites →https://doi.org/10.1137/100791634openalex-snapshot
p4est : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
inferredcites →https://doi.org/10.1142/s0218396x95000136openalex-snapshot
SOME ASPECTS OF THE PHYSICS AND NUMERICAL MODELING OF BIOT COMPRESSIONAL WAVES
inferredcites →https://doi.org/10.1145/1268776.1268779openalex-snapshot
deal.II—A general-purpose object-oriented finite element library
inferredcites →https://doi.org/10.1190/1.1440520openalex-snapshot
Computed seismic speeds and attenuation in rocks with partial gas saturation
inferredcites →https://doi.org/10.1190/1.1598132openalex-snapshot
White's model for wave propagation in partially saturated rocks: Comparison with poroelastic numerical experiments
inferredcites →https://doi.org/10.1190/1.2197490openalex-snapshot
Attenuation and dispersion of P-waves in porous rocks with planar fractures: Comparison of theory and numerical simulations
inferredcites →https://doi.org/10.1190/1.3008544openalex-snapshot
Equivalent viscoelastic solids for heterogeneous fluid-saturated porous rocks
inferredcites →https://doi.org/10.1190/1.3463417openalex-snapshot
Seismic wave attenuation and dispersion resulting from wave-induced flow in porous rocks — A review
inferredcites →https://doi.org/10.1190/1.3555077openalex-snapshot
Anisotropic P-SV-wave dispersion and attenuation due to inter-layer flow in thinly layered porous rocks
inferredcites →https://doi.org/10.1190/geo2013-0020.1openalex-snapshot
Numerical modeling and laboratory measurements of seismic attenuation in partially saturated rock
inferredcites →https://doi.org/10.1190/geo2013-0409.1openalex-snapshot
Sensitivity of S-wave attenuation to the connectivity of fractures in fluid-saturated rocks
inferredcites →https://doi.org/10.1201/9780429143380-3openalex-snapshot
Acoustics in Porous Media
inferredcites →https://doi.org/10.1201/b17181openalex-snapshot
Applied Functional Analysis
inferredcites →https://doi.org/10.1515/9781400885688openalex-snapshot
Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology
inferredcites →https://doi.org/10.2478/cmam-2011-0009openalex-snapshot
Energy Principles and Finite Element Methods for Pure Traction Linear Elasticity
inferredcites →https://doi.org/10.3970/cmes.2005.010.099openalex-snapshot
Parallel Octree-Based Finite Element Method for Large-Scale Earthquake Ground Motion Simulation
inferredcites →https://doi.org/10.4208/jcm.v27.n2-3.p215openalex-snapshot
Hanging Nodes in the Unifying Theory of a Posteriori Finite Element Error Control

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4166563openalex-extracted
A Novel Equi-Dimensional Finite Element Method For Flow and Transport in Fractured Porous Media Satisfying Discrete Maximum Principle
inferred← citeshttps://doi.org/10.1007/978-3-031-86173-4_29openalex-snapshot
Accurate Representation of Poroelastic Thin Layers as Interface Conditions
inferred← citeshttps://doi.org/10.1007/s00603-021-02387-1openalex-snapshot
Coupled Thermo-Hydro-Mechanical Numerical Modeling of Evolving Fractures in Rocks
inferred← citeshttps://doi.org/10.1007/s10596-021-10095-6openalex-snapshot
Improving the computational efficiency of solving multisource 3-D airborne electromagnetic problems in complex geological media
inferred← citeshttps://doi.org/10.1007/s10596-023-10219-0openalex-snapshot
Adaptive mesh refinement in locally conservative level set methods for multiphase fluid displacements in porous media
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Verification benchmarks for single-phase flow in three-dimensional fractured porous media
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Fractures and thin heterogeneities as Robin-Wentzell interface conditions
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A method of FE modeling multiphase compressible flow in hydrocarbon reservoirs
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An analysis of embedded weak discontinuity approaches for the finite element modelling of heterogeneous materials
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Flow simulation in 3D fractured porous medium using a generalized pipe-based cell-centered finite volume model with local grid refinement
inferred← citeshttps://doi.org/10.1029/2020jb019960openalex-snapshot
Seismic Signatures of Fractured Porous Rocks: The Partially Saturated Case
inferred← citeshttps://doi.org/10.1029/2021jb022847openalex-snapshot
Effects of Fracture Connectivity on Rayleigh Wave Dispersion
inferred← citeshttps://doi.org/10.1029/2023jb026782openalex-snapshot
Homogenization of Porous Thin Layers With Internal Stratification for the Estimation of Seismic Reflection Coefficients
inferred← citeshttps://doi.org/10.1093/gji/ggac234openalex-snapshot
Can we use seismic reflection data to infer the interconnectivity of fracture networks?
inferred← citeshttps://doi.org/10.1093/gji/ggae439openalex-snapshot
High-resolution GPU-based simulations of quasi-static poroelasticity: seismic attenuation and modulus dispersion in three-dimensional stochastic fracture networks
inferred← citeshttps://doi.org/10.1093/gji/ggaf165openalex-snapshot
Impact of connected secondary fractures on the seismic reflectivity of large primary fractures
inferred← citeshttps://doi.org/10.1093/jge/gxab036openalex-snapshot
3D finite-element modeling of effective elastic properties for fracture density and multiscale natural fractures
inferred← citeshttps://doi.org/10.1190/geo2022-0635.1openalex-snapshot
Seismic signatures of partial steam saturation in fractured geothermal reservoirs: Insights from poroelasticity
inferred← citeshttps://doi.org/10.1190/segam2020-3426610.1openalex-snapshot
Effects of fracture connectivity on Rayleigh wave velocity dispersion
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An Equi-Dimensional Finite Element Approach for Flow Problems in Fractured Porous Media
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An analysis of embedded weak discontinuity approaches for the finite element modelling of heterogeneous materials
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Anisotropic Effective Elastic Properties for Multi-Dimensional Fractured Models
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Discontinuous Galerkin Forward Modeling of Wave Propagation with Split-Field Absorbing Boundary Conditions and Gradient-Based Adaptive Meshes
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A novel equi-dimensional finite element method for flow and transport in fractured porous media satisfying discrete maximum principle and conservation properties
inferred← citeshttps://doi.org/10.70675/1b583db7z0f35z41c3zb52az2f0bfa1482b8openalex-snapshot
An E-FEM generalisation for the modelling of triaxial fracture processes in composite quasi-brittle materials at the mesoscale
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