Skip to main content Accessibility help

Numerical Study of Density-Driven Convection in Laminated Heterogeneous Porous Media

  • Qian Li (a1) (a2) (a3), Wei Hua Cai (a1), Bing Xi Li (a2) and Ching-Yao Chen (a4)


In the present study, we use direct numerical simulation to investigate the density-driven convection in a two-dimensional anisotropic heterogeneous porous media associated with significant laminated formation. At first, the heterogeneous porous media are randomly generated to represent laminated structure, in which the horizontal correlation length of permeability field is much longer than the vertical counterpart. Then, a highly accurate pseudo-spectral method and compact finite difference scheme with higher order of accuracy are employed to numerically reproduce the convection flow in the laminated porous media. The results show that the laminated structures restrict interactions among the downward plumes of heavier fluid. The plumes tend to descend more straightly in a laminated porous medium associated with a slower growth rate. As a result, the laminated distribution of permeability is considered having an inhibiting effect on the convection flow.


Corresponding author

*Corresponding author(W. H. Cai,


Hide All
1.Orr, F. M., “Onshore geologic storage of CO2,” Science, 325, pp. 1656-1658(2009).
2.Matter, J. M., Stute, M., Snaebjornsdottir, S. O., Oelkers, E. H., Gislason, S. R., Aradottir, E. S., … and Broecker, W. S., “Rapid carbon mineralization for permanent disposal of anthropogenic carbon dioxide emissions,” Science, 352, pp. 1312-1314(2016).
3.Gilfillan, S. M., Lollar, B. S., Holland, G., Blagburn, D., Stevens, S., Schoell, M., … and Ballentine, C. J., “Solubility trapping in formation water as dominant CO2 sink in natural gas fields,” Nature, 458A, pp. 614-618(2009).
4.Huppert, H. E., and Neufeld, J. A., “The fluid mechanics of carbon dioxide sequestration, Annual review of fluid mechanics, 46, pp. 255-272(2014).
5.Lindeberg, E., and Wessel-Berg, D., “Vertical convection in an aquifer column under a gas cap of CO2,” Energy Conversion and management, 38, pp. S229-S234(1997).
6.Noghrehabadi, A., Ghalambaz, M., and Ghanbarzadeh, A., “Effects of Variable Viscosity and Thermal conductivity on Natural-Convection of Nanofluids Past a Vertical Plate in Porous Media,” Journal of Mechanics, 30(3), pp. 265-275(2014).
7.Cheng, C.-Y., “Natural Convection Heat and Mass Transfer From a Horizontal Cylinder of Elliptic Cross Section with Constant Wall Temperature and Concentration in Saturated Porous Media,” Journal of Mechanics, 22(03), pp. 257-261(2006).
8.Vajravelu, K., and Prasad, K., “Mixed Convection Heat Transfer in an Anisotropic Porous Medium with Oblique Principal Axes,” Journal of Mechanics, 30(4), pp. 327-338(2014).
9.Teng, Y., Jiang, L., Fan, Y., Liu, Y., Wang, D., Abudula, A., and Song, Y., “Quantifying the dynamic density driven convection in high permeability packed beds,” Magnetic resonance imaging, 39, pp. 168-174(2017).
10.Teng, Y., Lu, G., Fan, Y., Liu, Y., Jiang, L., Wang, D., and Song, Y., “Experimental study of density-driven convection in porous media by using MRI,” Energy Procedia, 105, pp. 4210-4215(2017).
11.Liyanage, R., Cen, J., Krevor, S., Crawshaw, J. P., and Pini, R., “Multidimensional Observations of Dissolution-Driven Convection in Simple Porous Media Using X-ray CT Scanning,” Transport in porous media, 126(2), pp. 355-378(2019).
12.Homsy, G. M., “Viscous fingering in porous media,” Annual review of fluid mechanics, 19, pp. 271-311(1987).
13.Nadal, F., Meunier, P., Pouligny, B., and Laurichesse, E., “Stationary plume induced by carbon dioxide dissolution,” Journal of Fluid Mechanics, 719, pp. 203-229(2013).
14.Vreme, A., Nadal, F., Pouligny, B., Jeandet, P., Ligerbelair, G., and Meunier, P., “Gravitational instability due to the dissolution of carbon dioxide in a Hele-Shaw cell,” Physical Review Fluids, 1, pp. 064301(2016).
15.Backhaus, S., Turitsyn, K., and Ecke, R. E., “Convective instability and mass transport of diffusion layers in a Hele-Shaw geometry,” Physical review letters, 106, pp. 104501(2011).
16.Tsai, P. A., Riesing, K., and Stone, H. A., “Density-driven convection enhanced by an inclined boundary: Implications for geological CO2 storage,” Physical Review E, 87, pp. 011003(2013).
17.Riaz, A., Hesse, M., Tchelepi, H. A., and Orr, F. M., “Onset of convection in a gravitationally unstable diffusive boundary layer in porous media,” Journal of Fluid Mechanics, 548, pp. 87-111(2006).
18.Ghesmat, K., Hassanzadeh, H., and Abedi, J., “The impact of geochemistry on convective mixing in a gravitationally unstable diffusive boundary layer in porous media: CO2 storage in saline aquifers,” Journal of Fluid Mechanics, 673, pp. 480-512(2011).
19.Szulczewski, M. L., Hesse, M. A., and Juanes, R., “Carbon dioxide dissolution in structural and stratigraphic traps,” Journal of Fluid Mechanics, 736, pp. 287-315(2013).
20.Fu, X., Cueto-Felgueroso, L., Bolster, D., and Juanes, P., “Rock dissolution patterns and geochemical shutdown of CO2-brine-carbonate reactions during convective mixing in porous media,” Journal of Fluid Mechanics, 764, pp. 296-315(2015).
21.De Paoli, M., Zonta, F., and Soldati, A., “Influence of anisotropic permeability on convection in porous media: Implications for geological CO2 sequestration,” Physics of Fluids, 28, pp. 056601(2016).
22.De Paoli, M., Zonta, F., and Soldati, A., “Dissolution in anisotropic porous media: Modelling convection regimes from onset to shutdown,” Physics of Fluids, 29, pp. 026601(2017).
23.Vajravelu, K., and Prasad, K. V., “Mixed convection heat transfer in an anisotropic porous medium with oblique principal axes,” Journal of Mechanics, 30, pp. 327-338(2014).
24.Camhi, E., Meiburg, E., and Ruith, M., “Miscible rectilinear displacements with gravity override. Part 2. Heterogeneous porous media,” Journal of Fluid Mechanics, 420, pp. 259-276(2000).
25.Chen, C.-Y., Lin, T. S., and Miranda, J. A., “Rotationally induced fingering patterns in a twodimensional heterogeneous porous medium,” Physical Review E, 94, pp. 053105(2016).
26.Chen, C.-Y., and Yan, P.-Y., “A diffuse interface approach to injection-driven flow of different miscibility in heterogeneous porous media,” Physics of Fluids, 27, pp. 083101(2015).
27.Li, J. S., Li, Q., Cai, W. H., Li, F.-C., and Chen, C.-Y., “Mixing Efficiency Via Alternating Injection in a Heterogeneous Porous Medium,” Journal of Mechanics, 34(2), pp. 167-176(2018).
28.Li, Q., Cai, W. H., Li, F.-C., Li, B., and Chen, C.-Y., “Miscible density-driven flows in heterogeneous porous media: Influences of correlation length and distribution of permeability,” Physical Review Fluids, 4(1), pp. 014502(2019).
29.Shinozuka, M., and Jan, C. M., “Digital Simulation of Random Processes and Its Applications,” Journal of Sound and Vibration, 25, pp. 111-128(1972).
30.Hewitt, D. R., Neufeld, J. A., and Lister, J. R., “Convective shutdown in a porous medium at high Rayleigh number,” Journal of Fluid Mechanics, 719, pp.551-586(2013).
31.Li, Q., Cai, W. H., Tang, X. J., Chen, Y. C., Li, B. X., and Chen, C.-Y., “The impact of heterogeneous anisotropy of porous media on density-driven convection,” International Journal of Numerical Methods for Heat & Fluid Flow, 30(2), pp. 956-976(2019).


Numerical Study of Density-Driven Convection in Laminated Heterogeneous Porous Media

  • Qian Li (a1) (a2) (a3), Wei Hua Cai (a1), Bing Xi Li (a2) and Ching-Yao Chen (a4)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.