What is it about?
This paper is aimed at modeling the phenomenon of preferential fluid flow. Essentially it exploits the geometric information (available with probabilistic uncertainty in the practice) to predict the preferential directions of flow in geological stratified media.
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Why is it important?
The importance of the this work is twofold, On one hand, the preferential flow question is of paramount importance for phenomena of oil extraction and subsurface water flow among other. On the other hand, most of the mathematical models for this phenomenon available in the literature are extremely hard to solve from the technical point of view, the present model is a a simple solution and therefore it can be used up to the field scale.
Perspectives
The present work is of multidisciplinary nature as it blends techniques from Partial Differential Equations, Finite Elements, Numerical Linear Algebra, Graph Theory and Markov Chains. Each of them when needed to sort out pieces of the Preferential Fluid flow problem in Laminated Geological Strata. It provides a good foundation to attack several problems related to this phenomenon such as transport and diffusion processes directly affected by the geometry of the strata.
Mr Fernando A Morales
Universidad Nacional de Colombia
Read the Original
This page is a summary of: Tangential fluid flow within 3D narrow fissures: Conservative velocity fields on associated triangulations and transport processes, Mathematical Methods in the Applied Sciences, June 2017, Wiley,
DOI: 10.1002/mma.4459.
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