Modelling, Upscaling and Simulation of Dissolution and Precipitation in a Porous Medium with an Evolving Pore-Scale Geometry
Offered By: Society for Industrial and Applied Mathematics via YouTube
Course Description
Overview
Explore the modeling and simulation of dissolution and precipitation processes in porous media with evolving pore-scale geometry in this SIAM Geosciences webinar. Delve into different modeling approaches, from pore-scale to Darcy-scale, using homogenization techniques. Examine the impact of changing pore geometries on medium properties like porosity and permeability. Learn about adaptive multi-scale iterative schemes and their applications. Gain insights into phase field models, direction diffusion equations, and numerical algorithms for simulating these complex geophysical phenomena. Understand the relevance of these processes to critical issues such as soil salinization and geothermal energy production.
Syllabus
Introduction
Announcements
Speaker
Sharing
Motivation
Model
Situation
Surfaces
Precipitation
The Problem
Simple geometries
Complex geometries
Phase field
Results
Phase Field Model
Direction Diffusion Equation
Proofs
Algorithm
The staggered scheme
The maximum principle
Convergence
Algorithms
Active Passive Strategy
Summary
Numerical Example
Conclusion
Thank you
Two aspects
Periodicity
Taught by
Society for Industrial and Applied Mathematics
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