Asymptotic Solutions of Compaction in Porous Media
Xin-She Yang
TL;DR
This paper develops asymptotic solutions for modeling compaction in reactive porous media, employing reaction-diffusion equations with a moving boundary to understand the process.
Contribution
It introduces a novel asymptotic analysis approach to coupled nonlinear compaction equations, including a traveling wave solution for the reaction zone.
Findings
Derived asymptotic solutions for compaction models
Obtained a traveling wave solution above the reaction zone
Enhanced understanding of reactive porous media dynamics
Abstract
Compaction in reactive porous media is modelled as a reaction-diffusion process with a moving boundary. Asymptotic analysis is used to find solutions for the coupled nonlinear compaction equations, and a traveling wave solution is obtained above the reaction zone.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Numerical methods in engineering · Grouting, Rheology, and Soil Mechanics