Effect of impurities on the onset and growth of gravitational instabilities in a geological CO2 storage process: Linear and nonlinear analyses

Min Chan Kim, Kwang Ho Song

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8 Citations (Scopus)

Abstract

Because 75% of the total cost of carbon capture and storage (CCS) arises from the separation of CO2 from gas streams (Nsakala et al., 2001), the co-injection of CO2 and impurities such as H2S, N2, and SO2 is considered a cost-effective alternative to pure CO2 geological sequestration. Here, the effect of the impurities on the onset of gravitational instability has been analyzed theoretically and numerically. Linear stability equations have been derived and solved analytically and numerically. Double diffusive effects make the system stable or unstable depending on the values of the diffusivity ratio, δB, and buoyancy ratio, rβrC. In addition, using the Fourier spectral method, we have traced the temporal evolution of the gravitational fingers numerically. The shape and the growth history of the fingers are strongly dependent on the impurity content. The time-periodic oscillatory motions are not observed in the present linear and nonlinear analyses. For a given Rayleigh number, the dissolution of N2 and H2S impurities makes the system stable, whereas dissolved SO2 accelerates the onset of instability.

Original languageEnglish
Pages (from-to)426-444
Number of pages19
JournalChemical Engineering Science
Volume174
DOIs
Publication statusPublished - 2017 Dec 31

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Linear Process
Nonlinear Process
Impurities
Carbon capture
Fourier Method
Dissolution
Rayleigh number
Buoyancy
Costs
Linear Stability
Diffusivity
Spectral Methods
Accelerate
Injection
Carbon
Gases
Unstable
Motion
Dependent
Alternatives

Keywords

  • CO sequestration
  • Gravitational fingering
  • Impurity
  • Solubility trapping
  • Stability analysis

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

Cite this

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title = "Effect of impurities on the onset and growth of gravitational instabilities in a geological CO2 storage process: Linear and nonlinear analyses",
abstract = "Because 75{\%} of the total cost of carbon capture and storage (CCS) arises from the separation of CO2 from gas streams (Nsakala et al., 2001), the co-injection of CO2 and impurities such as H2S, N2, and SO2 is considered a cost-effective alternative to pure CO2 geological sequestration. Here, the effect of the impurities on the onset of gravitational instability has been analyzed theoretically and numerically. Linear stability equations have been derived and solved analytically and numerically. Double diffusive effects make the system stable or unstable depending on the values of the diffusivity ratio, δB, and buoyancy ratio, rβrC. In addition, using the Fourier spectral method, we have traced the temporal evolution of the gravitational fingers numerically. The shape and the growth history of the fingers are strongly dependent on the impurity content. The time-periodic oscillatory motions are not observed in the present linear and nonlinear analyses. For a given Rayleigh number, the dissolution of N2 and H2S impurities makes the system stable, whereas dissolved SO2 accelerates the onset of instability.",
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author = "Kim, {Min Chan} and Song, {Kwang Ho}",
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T2 - Linear and nonlinear analyses

AU - Kim, Min Chan

AU - Song, Kwang Ho

PY - 2017/12/31

Y1 - 2017/12/31

N2 - Because 75% of the total cost of carbon capture and storage (CCS) arises from the separation of CO2 from gas streams (Nsakala et al., 2001), the co-injection of CO2 and impurities such as H2S, N2, and SO2 is considered a cost-effective alternative to pure CO2 geological sequestration. Here, the effect of the impurities on the onset of gravitational instability has been analyzed theoretically and numerically. Linear stability equations have been derived and solved analytically and numerically. Double diffusive effects make the system stable or unstable depending on the values of the diffusivity ratio, δB, and buoyancy ratio, rβrC. In addition, using the Fourier spectral method, we have traced the temporal evolution of the gravitational fingers numerically. The shape and the growth history of the fingers are strongly dependent on the impurity content. The time-periodic oscillatory motions are not observed in the present linear and nonlinear analyses. For a given Rayleigh number, the dissolution of N2 and H2S impurities makes the system stable, whereas dissolved SO2 accelerates the onset of instability.

AB - Because 75% of the total cost of carbon capture and storage (CCS) arises from the separation of CO2 from gas streams (Nsakala et al., 2001), the co-injection of CO2 and impurities such as H2S, N2, and SO2 is considered a cost-effective alternative to pure CO2 geological sequestration. Here, the effect of the impurities on the onset of gravitational instability has been analyzed theoretically and numerically. Linear stability equations have been derived and solved analytically and numerically. Double diffusive effects make the system stable or unstable depending on the values of the diffusivity ratio, δB, and buoyancy ratio, rβrC. In addition, using the Fourier spectral method, we have traced the temporal evolution of the gravitational fingers numerically. The shape and the growth history of the fingers are strongly dependent on the impurity content. The time-periodic oscillatory motions are not observed in the present linear and nonlinear analyses. For a given Rayleigh number, the dissolution of N2 and H2S impurities makes the system stable, whereas dissolved SO2 accelerates the onset of instability.

KW - CO sequestration

KW - Gravitational fingering

KW - Impurity

KW - Solubility trapping

KW - Stability analysis

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