Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T06:00:26.508Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  06 August 2020

Qian Li ,
Wei Hua Cai ,
Bing Xi Li  and
Ching-Yao Chen Open the ORCID record for Ching-Yao Chen [Opens in a new window]
Qian Li
Affiliation:
Laboratory of Thermo-Fluid Science and Nuclear Engineering Northeast Electric Power University Jilin, China School of Energy Science and Engineering Harbin Institute of TechnologyHarbin, China Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education Dalian, China
Wei Hua Cai*
Affiliation:
Laboratory of Thermo-Fluid Science and Nuclear Engineering Northeast Electric Power University Jilin, China
Bing Xi Li
Affiliation:
School of Energy Science and Engineering Harbin Institute of TechnologyHarbin, China
Ching-Yao Chen
Affiliation:
Department of Mechanical Engineering National Chiao Tung UniversityHsinchu, Taiwan
*
*Corresponding author(W. H. Cai, [email protected])
Get access

Abstract

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.

Keywords

laminated porous mediadensity-driven convectionCO2 storage
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 5 , October 2020 , pp. 665 - 673
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Orr, F. M., “Onshore geologic storage of CO2,” Science, 325, pp. 1656-1658(2009).CrossRefGoogle ScholarPubMed
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
Huppert, H. E., and Neufeld, J. A., “The fluid mechanics of carbon dioxide sequestration, Annual review of fluid mechanics, 46, pp. 255-272(2014).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle ScholarPubMed
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).CrossRefGoogle Scholar
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).CrossRefGoogle ScholarPubMed
Homsy, G. M., “Viscous fingering in porous media,” Annual review of fluid mechanics, 19, pp. 271-311(1987).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).Google Scholar
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).CrossRefGoogle ScholarPubMed
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).Google Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
Shinozuka, M., and Jan, C. M., “Digital Simulation of Random Processes and Its Applications,” Journal of Sound and Vibration, 25, pp. 111-128(1972).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar
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).CrossRefGoogle Scholar