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Volume 9, Issue 3
Derivation of Vertical Equilibrium Models for $\rm{CO}_2$ Migration from Pore Scale Equations

W. G. Gray, P. A. Herrera, S. E. Gasda & H. K. Dahle

Int. J. Numer. Anal. Mod., 9 (2012), pp. 745-776.

Published online: 2012-09

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  • Abstract

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.

  • Keywords

vertical equilibrium, carbon sequestration, multiphase flow, porous media, numerical simulation, ECLIPSE.

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-745, author = {Gray , W. G.Herrera , P. A.Gasda , S. E. and Dahle , H. K.}, title = {Derivation of Vertical Equilibrium Models for $\rm{CO}_2$ Migration from Pore Scale Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {3}, pages = {745--776}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/657.html} }
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 -

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.

Gray , W. G.Herrera , P. A.Gasda , S. E. and Dahle , H. K.. (2012). Derivation of Vertical Equilibrium Models for $\rm{CO}_2$ Migration from Pore Scale Equations. International Journal of Numerical Analysis and Modeling. 9 (3). 745-776. doi:
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