Immiscible two-phase flow in a porous medium: Utilization of a Laplace transform boost

DOI10.1063/1.526581zbMath0591.76167OpenAlexW2049954108MaRDI QIDQ3720202

Michael J. King

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526581

zbMATH Keywords

Laplace transformmoving boundariessaturationshift operatorcapillarityimmiscible two-phase flowboost operatorcapillary end effectfinite porous mediamoment of water breakthrough

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99)

Related Items (3)

The nonlinear diffusion-convection equation on the semiline with time-dependent flux at the origin ⋮ Integrable forms of the one-dimensional flow equation for unsaturated heterogeneous porous media ⋮ Excess pore water pressure due to ground surface erosion

Cites Work

• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
• A symmetry approach to exactly solvable evolution equations
• Evolution of a stable profile for a class of nonlinear diffusion equations. II
• On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x _x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media]
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

This page was built for publication: Immiscible two-phase flow in a porous medium: Utilization of a Laplace transform boost