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SUMMARY:Some problems in low Reynolds number environmental flows - Ed Hint
 on\, The University of Melbourne\, Australia
DTSTART:20210506T103000Z
DTEND:20210506T113000Z
UID:TALK158848@talks.cam.ac.uk
CONTACT:Catherine Pearson
DESCRIPTION:Many analytical results have been obtained for gravity-driven 
 flow in uniform porous media\, which provide checks on numerical methods a
 nd furnish insight into the underlying physical processes. However\, subsu
 rface porous rocks are typically highly heterogeneous\, which strongly inf
 luences the flow. In this talk\, I examine the effect of some simple heter
 ogeneities on the classical solutions for flow in porous media and relate 
 the results to applications in CO2 sequestration. First\, the interaction 
 of free-surface flow with a cylindrical inclusion of different permeabilit
 y is explored. The flow thickness and streamlines are obtained through sim
 ple flux-balance arguments in various regimes for the relative inclusion w
 idth and permeability. Second\, I will discuss displacement flow in a conf
 ined layer with a vertical gradient of permeability and analyse how gravit
 y and permeability variations compete to drive the flow and control the in
 terface evolution.
LOCATION:Open Plan Area\, BP Institute\, Madingley Rise CB3 0EZ
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