Nonlinear analysis of multiphase transport in porous media in the presence of viscous, buoyancy, and capillary forces

DOI10.1016/j.jcp.2015.04.057zbMath1349.76820OpenAlexW247214132MaRDI QIDQ350133

Hamdi A. Tchelepi, Boxiao Li

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.04.057

zbMATH Keywords

transportconvergencereservoir simulationtrust regionnonlinear solverflux function

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

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Uses Software

• NewtonLib

Cites Work

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• Trust-region based solver for nonlinear transport in heterogeneous porous media
• Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions
• Potential-based reduced Newton algorithm for nonlinear multiphase flow in porous media
• On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing
• Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
• Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous Media
• Upstream Differencing for Multiphase Flow in Reservoir Simulation