Asymptotic Behavior of a Solution of Relaxation System for Flow in Porous Media

Abreu, Eduardo; Bustos, Abel; Lambert, Wanderson

doi:10.1007/978-3-319-91545-6_2

Springer Proceedings in Mathematics &Amp; Statistics

2018

DOI: 10.1007/978-3-319-91545-6_2

|View full text |Cite

Asymptotic Behavior of a Solution of Relaxation System for Flow in Porous Media

Eduardo Abreu

Abel Bustos

Wanderson Lambert³

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

2023

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…23 Note that relaxing the local equilibrium assumption may impose a new structure for the solution. This has been studied for multiphase problems, 24 where new shock structures emerge.…”

mentioning

confidence: 99%

Theory of dissolution and precipitation waves—redux

2019

View full text Add to dashboard Cite

We present a local equilibrium theory for the reactive transport of two salts that share an anion in an ideal solution. We revisit this classic problem using the theory of hyperbolic partial differential equations accounting for the volume of precipitates. We construct analytical solutions for the 2 × 2 system of conservation laws in the absence of hydrodynamic dispersion. The character of the system depends on the saturation of the salts, that is, whether the fluid is saturated with both, either of the two or none of the salts. We provide a comprehensive analysis of the system and its solution. Each primitive variable, the amount of precipitate and the concentration of ions, remains constant along one class of waves that propagate in the system. The analysis of the system allows identification of seven bifurcations with respect to the intermediate state.

show abstract

“…23 Note that relaxing the local equilibrium assumption may impose a new structure for the solution. This has been studied for multiphase problems, 24 where new shock structures emerge.…”

mentioning

confidence: 99%

Theory of dissolution and precipitation waves—redux

2019

View full text Add to dashboard Cite

show abstract

A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis

Abreu,

Ferraz,

Lambert

2023

Communications in Nonlinear Science and Numerical Simulation

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Asymptotic Behavior of a Solution of Relaxation System for Flow in Porous Media

Cited by 2 publications

References 13 publications

Theory of dissolution and precipitation waves—redux

Theory of dissolution and precipitation waves—redux

A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis

Contact Info

Product

Resources

About