Simulation of flow in porous media : applications in energy and environment

Content: Preface
 Upscaled models for CO2 injection and migration in geological systems
 1 Introduction
 2 Background
 3 Model description
 3.1 Key assumptions and dimensionless groupings
 3.2 Vertical fluid and pressure distribution
 3.3 Model derivation
 3.4 Upscaling and subscale processes
 4 Model application
 5 Summary
 Multipoint flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media
 1 Introduction
 2 The MPFA L-method in 3D
 2.1 Details of the scheme
 2.2 Criterion for choosing the proper L-stencil
 2.3 Boundary handling. 3 Numerical convergence3.1 Benchmark test 1
 3.2 Benchmark test 3
 4 Grid adaptivity
 4.1 Boundary handling
 5 Two-phase flow applications
 5.1 Two-phase model description
 5.2 Buckley-Leverett-type problem
 5.3 McWhorter-type problem
 5.4 DNAPL infiltration problem
 5.5 Refinement and coarsening indicator
 6 Summary and conclusions
 Compositional two-phase flow in saturated-unsaturated porous media: benchmarks for phase appearance/disappearance
 1 Introduction
 2 Definition and basic assumptions
 3 Equations
 3.1 Mass conservation of each component
 4 Choice of the primary variables. 5 Presentation of the two test cases5.1 First test case: gas phase appearing/disappearing by gas injection in a water-saturated rock core sample
 5.2 Second test case: evolution from an initial out of equilibriumstate to a stabilized stationary one, in a sealed porous core sample
 6 Conclusions and perspectives
 Coupling free and porous-media flows: models and numerical approximation
 1 Introduction
 2 Setting of the problem
 2.1 The surface-groundwater flow problem
 2.2 Interface conditions to couple surface and groundwater flows
 3 Weak formulation and analysis. 3.1 Mixed formulation of Darcy's equation3.2 Time-dependent Stokes/Darcy model
 4 Multidomain formulation of the coupled problem
 4.1 The Stokes/Darcy problem
 4.2 The Navier-Stokes/Darcy problem
 4.3 Well-posedness of the interface problems
 5 Finite element approximation of free and porous-media flows
 5.1 Galerkin finite-element approximation of the Stokes/Darcy problem
 6 Algebraic formulation of the linear interface problem and solution techniques
 6.1 Numerical results
 6.2 Other preconditioning methods
 7 Iterative methods for the Navier-Stokes/Darcy problem. 8 Subdomain iterative methods for the time-dependent (Navier- )Stokes/Darcy problemMathematical and numerical modeling of flow, transport, and reactions in porous structures of electrochemical devices
 1 Introduction
 1.1 Model scales
 1.2 The direct methanol fuel cell --
an example of an electrochemical device with a porous electrode
 2 Electrolytes and interfaces
 2.1 Dilute electrolytes
 2.2 Bulk electroneutrality
 2.3 Double layer
 2.4 Interface between electrode and electrolyte
 2.5 Faradaic reactions
 3 Porous electrodes
 3.1 Ideally polarizable porous matrix
 3.2 Species transport. 3.3 Darcy flow.