A pseudospectral approach to the McWhorter and Sunada equation for two-phase flow in porous media with capillary pressure

DOI10.1007/s10596-013-9360-4zbMath1393.76075OpenAlexW2078074995MaRDI QIDQ1663458

Tore I. Bjørnarå, Simon A. Mathias

Publication date: 21 August 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/12743/1/12743.pdf

zbMATH Keywords

analytical solutionstwo-phase flowporous mediacapillary pressurepseudospectralChebyshevdifferentiation matrix

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multiphase and multicomponent flows (76Txx)

Related Items (6)

A virtual element method for the two-phase flow of immiscible fluids in porous media ⋮ Capillary processes increase salt precipitation during CO₂ injection in saline formations ⋮ Theoretical investigation of two-ends-open free spontaneous imbibition ⋮ From arteries to boreholes: transient response of a poroelastic cylinder to fluid injection ⋮ From arteries to boreholes: steady-state response of a poroelastic cylinder to fluid injection ⋮ Virtual element simulation of two-phase flow of immiscible fluids in discrete fracture networks

Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

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• Analytical solutions for co- and counter-current imbibition of sorbing, dispersive solutes in immiscible two-phase flow
• A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains
• Matrix-based numerical modelling of financial differential equations
• Spectral Methods in MATLAB

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