A SCALAR CONSERVATION LAW FOR PLUME MIGRATION IN CARBON SEQUESTRATION
SIAM JOURNAL ON APPLIED MATHEMATICS, 78(3), 1823–1841.
author keywords: hyperbolic PDE; discontinuous flux; method of characteristics; shocks and rarefactions; residual trapping
TL;DR:
A quasi-linear hyperbolic partial differential equation with a discontinuous flux models geologic carbon dioxide migration and storage and shows good agreement with prior work on this topic.
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A quasi-linear hyperbolic partial differential equation with a discontinuous flux models geologic carbon dioxide (CO$_2$) migration and storage [M. Hesse, F. Orr, and H. Tchelepi, Fluid Mech., 611 ...