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SUMMARY:Reduced-order transport models for energy and the environment  - Z
 hong Zheng (DAMTP)
DTSTART:20161010T120000Z
DTEND:20161010T130000Z
UID:TALK68113@talks.cam.ac.uk
CONTACT:Doris Allen
DESCRIPTION:In this talk\, I will discuss several reduced-order transport 
 modeling studies motivated by energy and environmental problems: (i) Inspi
 red by CO2 geological storage\, we study fluid (CO2) injection into a conf
 ined porous reservoir initially saturated with another fluid (brine)\, and
  characterize the time evolution of the fluid-fluid (CO2-brine) interface.
  Because of the effect of confinement\, we identify a transition from an e
 arly-time self-similar solution to three branches of late-time self-simila
 r solutions for the interface shape. (ii) Inspired by shale gas recovery\,
  we study the fluid-driven cracks in an elastic matrix and characterize th
 e evolution of the crack shape\; we also study the elasticity-driven backf
 low process following fluid injection\, and obtain a simple scaling law fo
 r the backflow rate of the fracking fluids. (iii) I will also introduce ou
 r fundamental study on the viscous fingering instability\, which is relate
 d to enhanced oil recovery\, and report a series of time-dependent strateg
 ies for the stabilization of the viscous fingering instability at fluid-fl
 uid (e.g.\, water-oil\, gas-oil) interfaces. I will close the talk by disc
 ussing ideas for future exploration and collaboration.\n\n
LOCATION:MR5\, Centre for Mathematical Sciences
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