STOMP

CO2 Mass Conservation Equation (w/ Kinetic Exchange)

The CO2 mass conservation equations for STOMP-HYDT-KE are shown. These equations equate the time rate of change of CO2 mass within a control volume with the flux of CO2 mass crossing the control volume surface. The conservation equation for mobile CO2 mass includes kinetic exchange of hydrate formers between the mobile (m) and hydrate (h) and gross transport between the mobile and hydrate phase through kinetic hydrate formation:

 

where, CO2 can exist in the aqueous (l), nonaqueous liquid (n), and gas (g) phases.

 

The flux of mobile CO2 is a combination of advective and diffusive components:

 

where V is the Darcy velocity. 

 

 

Diffusive fluxes of CO2 through the mobile phases are computed from gradients in molar concentration, considering molecular diffusion, but ignoring hydraulic dispersion;

 

where a combined diffusion-dispersion coefficient, D, replaces the classical Fickian diffusion coefficient.

 

The conservation equation for hydrate CO2 mass includes kinetic exchange of hydrate formers between the mobile (m) and hydrate (h) and gross transport between the mobile and hydrate phase through kinetic hydrate formation:

 

 

 

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