Weakly nonlinear convection induced by the sequestration of co$_2$ in a perfectly impervious geological formation
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Abstract
This thesis examines the problem of convection that occurs during the geological sequestration of carbon dioxide. The mathematical model accounts for both diffusion and convection in a geological formation that has anistropic permeability and anisotropic carbon diffusion. The permeability is modeled as a decaying exponential to describe its slow decrease with depth. We also account for a first order reaction between CO