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Max-Flow and Absolute Permeability Correspondence in Porous Systems

Applied Algebraic Topology Network via YouTube

Overview

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Learn about the relationship between max-flow networks and absolute permeability in porous systems through this 57-minute lecture from the Applied Algebraic Topology Network. Explore how absolute permeability quantifies a porous medium's resistance to fluid flow, with applications in groundwater hydrology, hydrocarbon recovery, and microfluidics. Discover the application of max-flow min-cut theorem to network models of porous fluid flow, revealing new insights into structural influences on absolute permeability. Examine how network max-flow correlates with absolute permeability across four orders of magnitude, while min-cut analysis identifies key energy dissipation regions. Gain valuable knowledge for porous material design, digital rock studies, network model simplification, and fundamental research in porous media flow properties, based on research published in Physical Review Fluids (2021).

Syllabus

Vanessa Robins (2/19/24): The correspondence of max-flow to absolute permeability of porous systems

Taught by

Applied Algebraic Topology Network

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