Convective stability of carbon sequestration in anisotropic porous media

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 470, Issue 2170, 2014, Pages

  Hill, A A ^a   Morad, M R ^b  

^a UNIVERSITY OF THE WEST OF ENGLAND   (United Kingdom)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Anisotropic porous media; Carbon sequestration; Stability theory

Indexed keywords

ANISOTROPY; AQUIFERS; CARBON; CARBON DIOXIDE; CHEMICAL STABILITY; DIFFUSION; HYDROGEOLOGY; POROUS MATERIALS; REACTION RATES; STABILITY;

ANISOTROPIC POROUS MEDIA; ANISOTROPIC POROUS MEDIUM; CARBON SEQUESTRATION; CONVECTIVE INSTABILITIES; CONVECTIVE STABILITY; SOLUTE CONCENTRATIONS; STABILITY THEORIES; SUBCRITICAL INSTABILITY;

ANISOTROPIC MEDIA;

EID: 84907212567     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2014.0373     Document Type: Article

References (17)

1. IPCC. 2013 Climate change 2003: the physical science basis. Geneva, Switzerland: Intergovernmental Panel on Climate Change.
2. IPCC. 2005 Internationa l panel on climate change special report on carbon dioxide capture and storage. Cambridge, UK: Cambridge University Press.
3. Neufeld JA, Hesse MA, Riaz A, Hallworth MA, Tchelepi HA, Huppert HE. 201 0 Convective dissolution of carbon dioxide in saline aquifers. Geophys. Res. Lett. 37, L22404. (doi:10.1029/2010GL044728
4. Ward TJ, Cliffe KA, Jensen OE, Power H. 2014 Dissolution-driven porous-medium convection in the presence of chemical reaction. J. Fluid Mech. 747, 316-349. (doi:10.1017/jfm.2014.149
5. Andres JTH, Cardoso SSS. 2011 Onset of convection in a porous medium in the presence of chemical reaction. Phys. Rev. E 83, 046312. (doi:10.1103/PhysRevE.83.046312
6. Backhaus S, Turitsyn K, Ecke RE. 2011 Convective instability and mass transport of diffusion layers in a Hele-Shaw geometry. Phys. Rev. Lett. 106, 104501. (doi:10.1103/PhysRevLett. 106.104501
7. Straughan B. 2008 Sta bility and wave motion in porous media. Applied Mathematical Sciences Series, vol. 165, pp. 202-204. New York, NY: Springer.
8. Bhadauria BS. 2012 Double-diffusive convection in a saturated anisotropic porous layer with internal heat source. Transport Porous Med. 92, 299-320. (doi:10.1007/s11242-011-9903-x
9. Capone F, Gentile M, Hill AA. 2010 Penetrative convection via internal heating in anisotropic porous media. Mech. Res. Comm. 37, 441-444. (doi:10.1016/j.mechrescom.2010.06.005
10. Capone F, Gentile M, Hill AA. 2011 Double-diffusive penetrative convection simulated via internal heating in an an isotropic porous layer with throughflow. Int. J. Heat Mass Transfer 54, 1622-1626. (doi:10.1016/j.ijheatmasstransfer.2010.11.020
11. Capone F, Gentile M, Hill AA. 2011 Penetrative convection in anisotropic porous media with variable permeability. Acta Mech. 216, 49-58. (doi:10.1007/s00707-010-0353-2
12. Patacchini L, de Loubens R. 2013 A class of physically stable non-linear models of flow throu gh anisotropic porous media. Transport Porous Med. 97, 409-429. (doi:10.1007/s11242-013-0132-3
13. Straughan B. 2004 The energy method, stability, and nonlinear convection, 2nd edn. Applied Mathematical Sciences, vol. 91. New York, NY: Springer.
14. Dongarra JJ, Straughan B, Walker DW. 1996 Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability pr oblems. Appl. Numer. Math. 22, 399-434. (doi:10.1016/S0168-9274(96)00049-9
15. Straughan B, Walker DW. 1996 Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. J. Comput. Phys. 127, 128-141. (doi:10.1006/jcph.1996.0163
16. Hill AA. 2009 A differential constraint approach to obtain global stability for radiation induced double-diffusive convec tion in a porous medium. Math. Methods Appl. Sci. 32, 914-921. (doi:10.1002/mma.1073
17. Pieters GJM, van Duijn CJ. 2006 Transient growth in linearly stable gravity-driven flow in porous media. Eur. J. Mech. B/Fluids 25, 83-94. (doi:10.1016/j.euromechflu.2005.04.008