Nonlinear wave analysis of geochemical injection for multicomponent two phase flow in porous media

DOI10.1016/j.jde.2018.07.043zbMath1406.35284OpenAlexW2898692809MaRDI QIDQ1993970

Wanderson Lambert, Amaury C. Alvarez, Johannes Bruining, V. Matos, Dan Marchesin

Publication date: 6 November 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.043

zbMATH Keywords

nonlinear wavesbifurcationsphase spaceRiemann problemshock wavesrarefactionnonlinear inverse problemgeochemical flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Shock waves and blast waves in fluid mechanics (76L05) Flows in porous media; filtration; seepage (76S05) Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Bifurcations in context of PDEs (35B32) PDEs in connection with geophysics (35Q86)

Related Items

Nonlinear wave interactions in geochemical modeling ⋮ A mathematical study on the viability of the geochemical flow for an enhanced oil recovery: a simplified model ⋮ Mathematics and numerics for balance partial differential-algebraic equations (PDAEs)

Uses Software

• PHREEQC
• PhreeqcRM

Cites Work

• Unnamed Item
• On a universal structure for immiscible three-phase flow in virgin reservoirs
• Analysis of a singular hyperbolic system of conservation laws
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• Analytical and numerical solutions for carbonated waterflooding
• Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
• The Riemann problem for materials with nonconvex equation of state. II: General flow
• Riemann solutions without an intermediate constant state for a system of two conservation laws
• The Riemann problem for materials with nonconvex equations of state. I: Isentropic flow
• Hyperbolic systems of conservation laws II
• The Solution of the Riemann Problem for a Hyperbolic System of Conservation Laws Modeling Polymer Flooding
• A Riemann Solver for a Two-Phase Multicomponent Process
• Multicomponent Chromatography in a Two Phase Environment
• The Riemann Problem for Multicomponent Polymer Flooding
• THE RIEMANN PROBLEM FOR MULTIPHASE FLOWS IN POROUS MEDIA WITH MASS TRANSFER BETWEEN PHASES
• Hyperbolic Conservation Laws in Continuum Physics