- Access by Xinjiang University
Pore-scale study of convective mixing process in brine sequestration of impure
Phys. Rev. Fluids 7, 114501 – Published 21 November, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.114501
Abstract
Impurities such as and play important roles in dissolution trapping mechanisms in geological sequestration of . In this study, a pore-scale numerical investigation of the convective mixing process in geological storage is conducted using the lattice Boltzmann method. Tests with a different value of diffusivity ratio and buoyancy ratio of the impurities are considered. Theoretical analysis demonstrates four distinct scenarios of initial diffusive density distribution, including the monotonic and nonmonotonic density distributions along the gravity direction. Numerical results show that the general phenomena of the mixing processes are quite different in different scenarios. In particular, when the density distribution is nonmonotonic, the intensity of the system's convective mixing will be weakened by the density stratification structure. At the same time, the time evolution of the dissolution flux is also affected by impurities correspondingly, leading to some differences from the pure- system. In addition, the onset times of convection for different impure systems are also investigated. For a given Rayleigh number, the system is less prone to gravitational instability compared to that with only , when and the onset time will be prolonged correspondingly. In order to assess the strength of convection in an impure system, an effective Rayleigh number is defined in this paper, where the influences of impurities are taking into account. According to the simulation results, the onset time can be well fitted as , which is consistent with the role of the Rayleigh number in a pure- system.
Physics Subject Headings (PhySH)
Article Text
References (44)
- S. Solomon, D. Qin, M. Manning, Z. Chen, M. Marquis, K. B. Averyt, M. Tignor, H. L. Miller, S. Solomon, and D. Qin, Climate change 2007: Synthesis Report. Contribution of Working Group I, II and III to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, Summary for Policymakers.[M]. Switzerland, 2007.
- D. Wang, B. Dong, S. Breen, M. Zhao, J. Qiao, Y. Liu, Y. Zhang, and Y. Song, Approaches to research on /brine two-phase migration in saline aquifers, Hydrogeol. J. 23, 1 (2015).
- P. M. Cox, R. A. Betts, C. D. Jones, S. A. Spall, and I. J. Totterdell, Acceleration of global warming due to carbon-cycle feedbacks in a coupled climate model, Nature (London) 408, 184 (2000).
- T. Ajayi, J. S. Gomes, and A. Bera, A review of storage in geological formations emphasizing modeling, monitoring and capacity estimation approaches, Petrol. Sci. 16, 1028 (2019).
- J. C. Stephens and B. van der Zwaan, capture and storage (CCS): Exploring the research, development, demonstration, and deployment continuum, Discussion Paper, 2005-08, Belfer Center for Science and International Affairs, Harvard Kennedy School, 2005.
- J. Gibbins and H. Chalmers, Carbon capture and storage, Energy Policy 36, 4317 (2008).
- R. Korbøl and A. Kaddour, Sleipner Vest disposal-injection of removed into the Utsira formation, Energy Conversion Manage. 36, 509 (1995).
- M. Grobe, J. C. Pashin, and R. L. Dodge, Carbon Dioxide Sequestration in Geological Media: State of the Science (American Association of Petroleum Geologists, Tulsa, USA, 2009).
- G. Weir, S. P. White, and W. M. Kissling, Reservoir storage and containment of greenhouse gases, Transp. Porous Media 23, 37 (1996).
- J. Ennis-King and L. Paterson, Rate of dissolution due to convective mixing in the underground storage of carbon dioxide, in Greenhouse Gas Control Technologies—6th International Conference (Pergamon, Oxford, 2003), Vol. I, pp. 507–510.
- X. Ji and C. Zhu, Predicting possible effects of impurity on transportation and geological storage, Environ. Sci. Technol. 47, 55 (2013).
- M. C. Kim and K. H. Song, Effect of impurities on the onset and growth of gravitational instabilities in a geological storage process: Linear and nonlinear analyses, Chem. Eng. Sci. 174, 426 (2017).
- L. E. Crandell, B. R. Ellis, and C. A. Peters, Dissolution potential of co-injected with in geologic sequestration., Environ. Sci. Technol. 44, 349 (2010).
- D. Li and X. Jiang, Numerical investigation of convective mixing in impure geological storage into deep saline aquifers, Int. J. Greenhouse Gas Control 96, 103015 (2020).
- D. Li and X. Jiang, Numerical investigation of the partitioning phenomenon of carbon dioxide and multiple impurities in deep saline aquifers, Appl. Energy 185, 1411 (2017).
- D. Li, H. Zhang, L. Yang, W. Xu, and J. Xi, Effects of and binary impurities on geological storage in stratified formation—A sensitivity study, Appl. Energy 229, 482 (2018).
- A. Riaz, M. Hesse, H. Tchelepi, and F. Orr, Onset of convection in a gravitationally unstable diffusive boundary layer in porous media, J. Fluid Mech. 548, 87 (2006).
- T. F. Faisal, S. Chevalier, and M. Sassi, Experimental and numerical studies of density driven natural convection in saturated porous media with application to geological storage, Energy Procedia 37, 5323 (2013).
- A. C. Slim, M. M. Bandi, J. C. Miller, and L. Mahadevan, Dissolution-driven convection in a Hele–Shaw cell, Phys. Fluids 25, 024101 (2013).
- T. Lei and K. H. Luo, Pore-scale study of dissolution-driven density instability with reaction in porous media, Phys. Rev. Fluids 4, 063907 (2019).
- J. Wang, D. Ryan, E. J. Antthony, and T. Aikrn, Effects of impurities on transport, injection and storage, Energy Procedia 4, 3071 (2011).
- D. Li and X. Jiang, A numerical study of the impurity effects of nitrogen and sulfur dioxide on the solubility trapping of carbon dioxide geological storage, Appl. Energy 128, 60 (2014).
- D. Li, X. Jiang, Q. Meng, and Q. Xie, Numerical analyses of the effects of nitrogen on the dissolution trapping mechanism of carbon dioxide geological storage, Comput. Fluids 114, 1 (2015).
- S. M. Jafari Raad and H. Hassanzadeh, Does impure impede or accelerate the onset of convective mixing in geological storage? Int. J. Greenhouse Gas Control 54, 250 (2016).
- S. Mahmoodpour, B. Rostami, and H. Emami-Meybodi, Onset of convection controlled by impurity during storage in saline aquifers, Inte. J. Greenhouse Gas Control 79, 234 (2018).
- S. Mahmoodpour, M. A. Amooie, B. Rostami, F. Bahrami, H. Lund, and M. J. Kaiser, Effect of gas impurity on the convective dissolution of in porous media, Energy 199, 117397 (2020).
- S. Omrani, S. Mahmoodpour, B. Rostami, and I. S. MehdiSalehi Sedeh, Diffusion coefficients of ––water and ––water systems and their impact on the sequestration process: Molecular dynamics and dissolution process simulations, Greenhouse Gases: Sci. Technol. 11, 764 (2021).
- A. M. Tartakovsky, G. D. Tartakovsky, and T. D. Scheibe, Effects of incomplete mixing on multicomponent reactive transport, Adv. Water Resour. 32, 1674 (2009).
- S. M. Jafari Raad, H. Hassanzadeh, and J. Ennis-King, On the dynamics of two-component convective dissolution in porous media, Water Resour. Res. 55, 4030 (2019).
- M. C. Kim and K. H. Song, Gravitational instability and its scaling relation of a partially miscible two–component system in a porous medium, Int. J. Heat Mass Transf. 169, 120899 (2021).
- N. Tilton, Onset of transient natural convection in porous media due to porosity perturbations, J. Fluid Mech. 838, 129 (2018).
- G. S. Pau, J. B. Bell, K. Pruess, A. S. Almgren, M. J. Lijewski, and K. Zhang, High-resolution simulation and characterization of density-driven flow in storage in saline aquifers, Adv. Water Resour. 33, 443 (2010).
- J. P. Ennis-King and L. Paterson, Role of convective mixing in the long-term storage of carbon dioxide in deep saline formations, SPE J. 10, 349 (2003).
- Z. Guo, B. Shi, and N. Wang, Lattice BGK model for incompressible Navier-Stokes equation, J. Comput. Phys. 165, 288 (2000).
- R. Du, B. Shi, and X. Chen, Multi-relaxation-time lattice Boltzmann model for incompressible flow, Phys. Lett. A 359, 564 (2006).
- X. He and L. S. Luo, Lattice Boltzmann model for the incompressible Navier–Stokes equation, J. Stat. Phys. 88, 927 (1997).
- Z. Guo, C. Zheng, and B. Shi, Discrete lattice effects on forcing terms in the lattice Boltzmann method, Phys. Rev. E 65, 046308 (2002).
- Q. Liu, Y. He, Q. Li, and W. Tao, A multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media, Int. J. Heat Mass Transf. 73, 761 (2014).
- L. Ju, B. Shan, Z. Yang, and Z. Guo, An exact non-equilibrium extrapolation scheme for pressure and velocity boundary conditions with large gradients in the lattice Boltzmann method, Comput. Fluids 231, 105163 (2021).
- T. Lei and K. H. Luo, Differential diffusion effects on density-driven instability of reactive flows in porous media, Phys. Rev. Fluids 5, 033903 (2020).
- M. Jotkar, L. Rongy, and A. D. Wit, Reactive convective dissolution with differential diffusivities: Nonlinear simulations of onset times and asymptotic fluxes, Phys. Rev. Fluids 5, 104502 (2020).
- C. Chen and D. Zhang, Pore-scale simulation of density-driven convection in fractured porous media during geological sequestration: Pore-scale study of density-driven flow, Water Resour. Res. 46, 11 (2010).
- L. Ju, B. Shan, P. Liu, and Z. Guo, Pore-scale study of miscible density-driven mixing flow in porous media, Phys. Fluids 33, 034113 (2021).
- J. T. H. Andres and S. S. S. Cardoso, Onset of convection in a porous medium in the presence of chemical reaction, Phys. Rev. E 83, 046312 (2011).