TY - JOUR
T1 - Derivation of Vertical Equilibrium Models for $\rm{CO}_2$ Migration from Pore Scale Equations
AU - Gray , W. G.
AU - Herrera , P. A.
AU - Gasda , S. E.
AU - Dahle , H. K.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 745
EP - 776
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/657.html
KW - vertical equilibrium, carbon sequestration, multiphase flow, porous media, numerical simulation, ECLIPSE.
AB - <p style="text-align: justify;">Equations describing flow in porous media averaged to allow for lateral spatial variability but integrated over the vertical dimension are derived from pore scale equations. Under
conditions of vertical equilibrium, the equations are simplified and employed to describe migration
of $\rm{CO}_2$ injected into an aquifer of variable thickness. The numerical model based on the vertical
equilibrium equations is shown to agree well with a fully three-dimensional model. Trapping of $\rm{CO}_2$ in undulations at the top of the aquifer is shown to retard $\rm{CO}_2$ migration.</p>