Effect of Nonlinear Reaction on Miscible Gravitational Instability through Dispersive Porous Medium
Publication: Journal of Energy Engineering
Volume 150, Issue 2
Abstract
Gravitational instability in porous media is observed in numerous natural systems in which reaction at the penetrating chemical front is a common occurrence. Most often, this reaction kinetics is difficult to capture and explain adequately using the classical linear reaction rate profiles.The nonlinearity of the reaction rate addresses the general reaction framework that may be encountered in natural settings and has substantial ramifications for the overall gravitational instability dynamics at long times. However, the way in which a nonlinear reaction affects the dissolution in combination with porous dispersion has remained largely elusive. This study used a two-dimensional (2D) numerical framework built in OpenFOAM to capture the coupled effect of nonlinear reaction kinetics and porous dispersion on the ensuing gravitational instability across a miscible fluid pair. This study quantitatively explored the instability onset times, total dissolution of heavier fluid, and convective dynamics as a function of the nonlinearity in the chemical kinetics in dispersive porous media. We hereby report intriguing and nonintuitive effects on induced gravitational instability in the presence of nonlinear chemical reactions. The results show a decrease in the nonlinear onset time and increase in overall dissolution with stronger reaction rate. The onset time and overall dissolution varied with the nonlinearity of the reaction kinetics. This study focused on the enhancement of effective dissolution employing the inherently occurring chemical reactions in natural systems, and is a model tool to understand various geological reaction-transport and sequestration phenomena.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
Author contributions: S. Gomathi, S. Deepika, and T. Saravanakumar helped in formulating the problem, writing the draft, and preparing figures and tables. Subhajit Patra helped in conceptualizing, preparing, and running the codes and technical and language checks. Jayabrata Dhar and Sankha Karmakar helped in ideation, conceptualization, writing the manuscript, reviewing the manuscript, and preparing final draft.
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Published In
Journal of Energy Engineering
Volume 150 • Issue 2 • April 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jun 20, 2023
Accepted: Dec 15, 2023
Published online: Jan 25, 2024
Published in print: Apr 1, 2024
Discussion open until: Jun 25, 2024
ASCE Technical Topics:
- Analysis (by type)
- Chemicals
- Chemistry
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Environmental engineering
- Fluid dynamics
- Fluid mechanics
- Hydrologic engineering
- Kinetics
- Linear functions
- Materials engineering
- Mathematical functions
- Mathematics
- Methodology (by type)
- Nonlinear response
- Numerical analysis
- Numerical methods
- Porous media
- Solid mechanics
- Structural behavior
- Structural engineering
- Water and water resources
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