Transport in Porous Media

, Volume 85, Issue 2, pp 619–639 | Cite as

Effects of CO2 Compressibility on CO2 Storage in Deep Saline Aquifers

  • Victor Vilarrasa
  • Diogo Bolster
  • Marco Dentz
  • Sebastia Olivella
  • Jesus Carrera
Article

Abstract

The injection of supercritical CO2 in deep saline aquifers leads to the formation of a CO2 plume that tends to float above the formation brine. As pressure builds up, CO2 properties, i.e. density and viscosity, can vary significantly. Current analytical solutions do not account for CO2 compressibility. In this article, we investigate numerically and analytically the effect of this variability on the position of the interface between the CO2-rich phase and the formation brine. We introduce a correction to account for CO2 compressibility (density variations) and viscosity variations in current analytical solutions. We find that the error in the interface position caused by neglecting CO2 compressibility is relatively small when viscous forces dominate. However, it can become significant when gravity forces dominate, which is likely to occur at late times of injection.

Keywords

Two phase flow CO2 density Analytical solution Interface Gravity forces 

Nomenclature

cr

Rock compressibility

cα

Compressibility of fluid α (α = c, w)

d

Aquifer thickness

Erel

Relative error of the interface position

g

Gravity

hw

Hydraulic head of water

k

Intrinsic permeability

\({k_{{\rm r}_\alpha}}\)

α-Phase relative permeability (α = c, w)

N

Gravity number

\({P_{{\rm t}_0}}\)

Fluid pressure at the top of the aquifer prior to injection

PDT

Fluid pressure for Dentz and Tartakovsky (2009a) approach

\({\overline{P}_{\rm DT}}\)

Vertically averaged fluid pressure for Dentz and Tartakovsky (2009a) approach

\({\overline{P}_{\rm N}}\)

Vertically averaged fluid pressure for Nordbotten et al. (2005) approach

\({\overline{P}_{0}}\)

Vertically averaged fluid pressure prior to injection

Pα

Fluid pressure of α-phase (α = c, w)

Qm

CO2 mass flow rate

Q0

CO2 volumetric flow rate

qα

Volumetric flux of α-phase (α = c, w)

R

Radius of influence

Rc

CO2 plume radius at the top of the aquifer for compressible CO2

Ri

CO2 plume radius at the top of the aquifer for incompressible CO2

r

Radial distance

r0

CO2 plume radius at the top of the aquifer

rb

CO2 plume radius at the base of the aquifer

rc

Characteristic length

rw

Injection well radius

Ss

Specific storage coefficient

\({S_{{\rm r _w}}}\)

Residual saturation of the formation brine

Sα

Saturation of α-phase (α = c, w)

t

Time

z

Vertical coordinate

z0

Depth of the top of the aquifer

zb

Depth of the base of the aquifer

V

CO2 plume volume

α

Phase index, c CO2 and w brine

β

CO2 compressibility

\({\epsilon_{\rm v}}\)

Volumetric strain

γcw

A dimensionless parameter that measures the relative importance of viscous and gravity forces

λα

Mobility of α-phase (α = c, w)

μα

Viscosity of α-phase (α = c, w)

ρ0

CO2 density at the reference pressure \({P_{\rm t_0}}\)

ρ1

Constant for the CO2 density

\({\overline{\rho}_{\rm c}}\)

Mean CO2 density

\({\overline{\rho}_{{\rm c}_{\rm DT}}}\)

Mean CO2 density for Dentz and Tartakovsky (2009a) approach

\({\overline{\rho}_{{\rm c}_{\rm N}}}\)

Mean CO2 density for Nordbotten et al. (2005) approach

ρα

Density of α-phase (α = c, w)

σ

Effective stress

\({\phi}\)

Porosity

ζ

Interface position from the bottom of the aquifer

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Victor Vilarrasa
    • 1
    • 2
  • Diogo Bolster
    • 2
  • Marco Dentz
    • 1
  • Sebastia Olivella
    • 2
  • Jesus Carrera
    • 1
  1. 1.Institute of Environmental Assessment and Water ResearchGHS, IDAEA, CSICBarcelonaSpain
  2. 2.Department of Geotechnical Engineering and GeosciencesTechnical University of Catalonia (UPC)BarcelonaSpain

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