Determination of CO2 convective mixing flux in saline aquifers based on the optimality

Huihai Liu, Jinhong Chen, Guodong Jin, Zuhair AlYousef

Abstract view|604|times       PDF download|186|times

Abstract


When carbon dioxide is sequestrated in a saline aquifer, the dissolution of carbon dioxide plume results in density difference between the brine with dissolved carbon dioxide and the ambient brine. This causes fingering flow and transport, or convective mixing, that is the dominant mechanism for the carbon dioxide solubility trapping. This work presents the first theoretical relationship for the carbon dioxide convective mixing flux from the plume that is critical for evaluating the long-term safety of carbon dioxide storage in a saline aquifer. This new development is based on the optimality: the density-difference driven fingering flow and transport are self-organized in such a way that the downward mass transport rate of dissolved carbon dioxide is maximized. The optimality has a root in non-equilibrium thermodynamics and been successfully applied to modeling the gravitational fingering flow for soil water in the vadose zone. Our theoretical relationship is shown to be able to accurately predict the experimental results of the convective mixing flux in three-dimensional porous media that were reported by the two different research groups. The average relative error between the theoretical flux values and experimental observations is about 10% or less, while uncertainties exist in the test observations. The flux for Sleipner carbon dioxide injection site (22 kg/m2 /yr), estimated using our new relationship, is also consistent with the previous estimates in the literature, in a range between 0 and 30 kg/m2 /yr with the most likely value of 15 kg/m2 /yr, that were obtained using a complex model to analyze the field data. These comparisons support the usefulness and validity of our relationship that does not need the knowledge of individual fingers associated with the convective mixing and is easy to use in practice.

Document Type: Short communication

Cite as: Liu, H., Chen, J., Jin, G., AlYousef, Z. Determination of CO2 convective mixing flux in saline aquifers based on the optimality. Advances in Geo-Energy Research, 2024, 13(2): 89-95. https://doi.org/10.46690/ager.2024.08.03


Keywords


Energy transition, fingering, convective mixing, CO2 geological sequestration, saline aquifer

Full Text:

PDF

References


Audigane, P., Gaus, I., Pruess, K., et al. A long term 2D vertical modelling study of CO2 storage at Sleipner (North Sea) using TOUGHREACT. Paper Presented at Proceedings of TOUGH Symposium, Berkeley, California, 15-17 May, 2006.

Backhaus, S., Turitsyn, K., Ecke, R.E. Convective instability and mass transport of diffusion layers in a Hele-Shaw geometry. Physical Review Letters, 2011, 106: 104501.

Brouzet, C., Meheust, Y., Meunier, P. CO2 convective dissolution in a three-dimensional granular porous medium: An experimental study. Physical Review Fluids, 2022, 7(3): 033802.

Celia, M. A., Bachu, S., Nordbotten, J. M., et al. Status of CO2 storage in deep saline aquifers with emphasis on modeling approaches and practical simulations. Water Resources Research, 2015, 51(9): 6846-6892.

Elenius, M. T., Nordbotten, J. M., Kalisch, H. Convectivemixing influenced by the capillary transition zone. Computational Geosciences, 2014, 18: 417-431.

Ennis-King, J., Paterson, L. Role of convective mixing in the long-term storage of carbon dioxide in deep saline formations. Paper SPE 84344 Presented at the SPE Annual Technical Conference and Exhibition, Denver, Colorado, 5-8 October, 2003.

Erfani, H., Babaei, M., Berg, C. F., et al. Scaling CO2 convection in confined aquifers: Effects of dispersion, permeability anisotropy and geochemistry. Advances in Water Resources, 2022, 164: 104191.

Fu, X., Cueto-Felgueroso, L., Juanes, R. Pattern formation and coarsening dynamics in three-dimensional convective mixing in porous media. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013, 371(2004): 20120355.

Guo, R., Sun, H., Zhao, Q., et al. A novel experimental study on density-driven instability and convective dissolution in porous media. Geophysical Research Letters, 2021, 48: e2021GL095619.

Howard, A. D. Theoretical model of optimal drainage networks. Water Resources Research, 1990, 26: 2107-2117.

Karimaie, H., Lindeberg, E. Experimental verification of CO2 dissolution rate due to diffusion induced convection. Energy Procedia, 2017, 114: 4917-4925.

Kneafsey, T. J., Pruess, K. Laboratory flow experiments for visualizing carbon dioxide-induced, density-driven convection. Transport in Porous Media, 2010, 82: 123-139.

Leopold, L.B., Langbein, W. B. The concept of entropy in landscape evolution. Professional Paper, 1962: A1-A20.

Letelier, J. A., Ulloa, H. N., Leyrer, J., et al. Scaling CO2- brine mixing in permeable media via analogue models. Journal of Fluid Mechanics, 2023, 962: A8.

Liu, H, Dane, J. H. A criterion for gravitational instability in miscible dense plumes. Journal of Contaminant Hydrology, 1996, 23: 233-243.

Liu, H. A conductivity relationship for steady-state unsaturated flow processes under optimal flow conditions. Vadose Zone Journal, 2011, 10: 736-740.

Liu, H. Fluid Flow in the Subsurface: History, Generalization and Applications of Physical Laws. Cham, Switzerland, Springer, 2017.

Liu, H. The large-scale hydraulic conductivity for gravitational fingering flow in unsaturated homogenous porous media: A review and further discussion. Water, 2022, 14: 3660.

Liu, Y., Zhang, S., Liu, H. The relationship between fingering flow fraction and water flux in unsaturated soil at the laboratory scale. Journal of Hydrology, 2023, 622: 129695.

Lyu, X., Voskov, D. Advanced modeling of enhanced CO2 dissolution trapping in saline aquifers. International Journal of Greenhouse Gas Control, 2023, 127: 103907.

Mahmoodpour, S., Rostami, B., Soltanian, M. R., et al. Convective dissolution of carbon dioxide in deep saline aquifers: Insights from engineering a high-pressure porous visual cell. Physical Review Applied, 2019, 12(3): 034016.

Martinez, M. J., Hesse, M. A. Two-phase convective CO2 dissolution in saline aquifers. Water Resources Research, 2016, 52: 585-599.

Mykkeltvedt, T. S., Nordbotten, J. M. Estimating effective rates of convective mixing from commercial-scale injection. Environmental Earth Sciences, 2012, 67: 527-535.

Neufeld, J. A., Hess, M. A., Riaz, A., et al. Convective dissolution of carbon dioxide in saline aquifers. Geophysical Research Letters, 2010, 17: L22404.

Newell, D. L., Carey, J. W., Backhaus, S. N., et al. Experimental study of gravitational mixing of supercritical CO2. International Journal of Greenhouse Gas Control, 2018, 71: 62-73.

Paoli, M. D., Zonta, F. Dissolution in anisotropic porous media: Modelling convection regimes from onset to shut-down. Physics of Fluids, 2017, 29: 026601.

Pau, G. S. H., Bell, J. B., Pruess, K., et al. High-resolution simulation and characterization of density-driven flow in CO2 storage in saline aquifers. Advances in Water Resources, 2010, 33: 443-455.

Rasmusson, M., Fagerlund, F., Rasmusson, K., et al. Tsang, refractive light-transmission technique applied to density-driven convective mixing in porous media with implications for geological CO2 storage. Water Resources Research, 2017, 53: 8760-8780.

Riaz, A., Hesse, M., Tchelepi, H. A., et al. Onset of convection in a gravitationally unstable diffusive boundary layer in porous media. Journal of Fluid Mechanics, 2006, 548: 87-111.

Rinaldo, A., Rodriguez-Iturbe, I., Rigon, R., et al. Minimum energy and fractal structures of drainage networks. Water Resources Research, 1992, 28: 2183-2191.

Ringrose, P. How to Store CO2 Underground: Insights from Early-Mover CCS Projects. Gewerbestrasse, Switzerland, Springer Nature, 2020.

Rodriguez-Iturbe, I., Rinaldo, A., Rigon, A., et al. Energy dissipation, runoff production and the three-dimensional structure of river basins. Water Resources Research, 1992, 28: 1095-1103.

Sheng, F., Wang, K., Zhang, R., et al. Characterizing soil preferential flow using iodine-starch staining experiments and the active region model. Journal of Hydrology, 2009, 367: 115-124.

Singh, H., Islam, A. Enhanced safety of geologic CO2 storage with nanoparticles. International Journal of Heat and Mass Transfer, 2018, 121: 463-476.

Tsai, P. A., Riesing, K., Stone, H. A. Density-driven convection enhanced by an inclined boundary: Implications for geological CO2 storage. Physical review E, 2013, 87(1): 011003.

Wang, L., Nakanishi, Y., Hyodo, A., et al. Three-dimensional structure of natural convection in a porous medium: Effect of dispersion on finger structure. International Journal of Greenhouse Gas Control, 2016, 53: 274-283.

Wen, B., Chang, K., Hesse, M. A. Rayleigh-darcy convection with hydrodynamic dispersion. Physical Review Fluids, 2018, 3: 123801.




DOI: https://doi.org/10.46690/ager.2024.08.03

Refbacks

  • There are currently no refbacks.


Copyright (c) 2024 The Author(s)

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Copyright ©2018. All Rights Reserved