Pore-scale numerical simulation of supercritical CO2 migration in porous and fractured media saturated with water

Abstract

A thorough understanding of the microscopic flow process in porous and fractured media is significant for oil and gas development, geothermal energy extraction and subsurface CO₂ storage etc. In CO₂ geological sequestration, the CO₂ is often injected at the supercritical state (scCO₂ ), which will displace the connate fluids in the pore spaces during the drainage process. However, when CO₂ injection stops, the connate brine or water flows back to displace the scCO₂ . Therefore, the configuration of migration paths in a specific reservoir plays a significant role in affecting the connectivity and storage efficiency of scCO₂ . In this paper, the two-phase (scCO₂ and water) boundary has been defined using the phase field method, and the COMSOL Multiphysics simulator is applied to study the migration of scCO₂ in porous/fractured media at the pore scale. The geological conditions of Shiqianfeng formation in the CO₂ capture and storage pilot site of the Ordos Basin in China is selected as the engineering background. Before using the actual microscopic geometry based on thin-section of Shiqianfeng sandstone, we get the general understanding on scCO₂ migration in fractured porous media that has the highly simplified configuration with circular particles, considering the impacts of wettability, geometry of formation mineral grains, interfacial tension, injection rates, and fracture geometry. Results show that the CO₂ preferential flow occurs at locations with high CO₂ flow rates and high CO₂ pore pressure. The preferential flow of scCO₂ occurs adjacent to the wall of grains while minimal or little flow takes place through the interior between the grains, considering the grains with irregular shapes. The interfacial tension of porous media plays a significant role in controlling the spatial distribution of the scCO₂ . A much lower interfacial tension results in a much thinner scCO₂ flow band with a much higher saturation. The geometry of fractures in porous media increases the complexity of the scCO₂ flow paths at the pore scale.

Cited as: Liu, H., Zhu, Z., Patrick, W., Liu, J., Lei, H., Zhang, L. Pore-scale numerical simulation of supercritical CO₂ migration in porous and fractured media saturated with water. Advances in Geo-Energy Research, 2020, 4(4): 419-434, doi: 10.46690/ager.2020.04.07

References

Al-Futaisi, A., Patzek, T.W. Impact of wettability alteration on two-phase flow characteristics of sandstones: A quasi-static description. Water Resour. Res. 2003, 39(2): 1042.

Al-Shalabi, E.W., Ghosh, B. Effect of pore-scale heterogeneity and capillary-viscous fingering on commingled water-flood oil recovery in stratified porous media. J. Pet. Eng. 2016, 2016: 1708929.

Andrew, M., Bijeljic, B., Blunt, M. Reservoir condition pore-scale imaging of multiple fluid phases using X-ray microtomography. J. Vis. Exp. 2015, 96: e52440.

Antanovskii, L.K. A phase field model of capillarity. Phys. Fluids 1995, 7(4): 747-753.

Bachu, S. Screening and ranking sedimentary basins for sequestration of CO2 in geological media in response to climate change. Environ. Geol. 2003, 44(3): 277-289.

Bai, F., He, X.M., Yang, X.F., et al. Three dimensional phase-field investigation of droplet formation in microfluidic flow focusing devices with experimental validation. Int. J. Multiphase Flow 2017, 93: 130-141.

Baldwin, B.A., Yamanashi, W.S. Detecting fluid movement and isolation in reservoir core with medical NMR imaging techniques. SPE Reservoir Eval. Eng. 1989, 4(2): 207-212.

Benson, S.M., Cole, D.R. CO2 sequestration in deep sedimentary formations. Elements 2008, 4(5): 325-331.

Bogdanov, I., Kpahou, J., Kamp, A. Direct pore-scale modeling of two-phase flow through natural media. Paper Presented at Proceedings of the 2011 COMSOL Conference, Stuttgart, Germany, 26-28 October, 2011.

Cahn, J.W., Hilliard, J.E. Free energy of a nonuniform system. I. interfacial free energy. J. Chem. Phys. 1958, 28(2): 258-267.

Chalbaud, C., Robin, M., Egermann, P. Interfacial tension data and correlations of brine/CO2 systems under reservoir conditions. Paper SPE 102918 Presented at SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 24-27 September, 2006.

Chaudhary, K., Cardenas, M.B., Wolfe, W.W., et al. Pore-scale trapping of supercritical CO2 and the role of grain wettability and shape. Geophys. Res. Lett. 2013, 40: 3878-3882.

Chen, L.Q. Phase-field models for microstructure evolution. Annu. Rev. Mater. Res. 2002, 32(1): 113-140.

Combes, R., Robin, M., Blavier, G., et al. Visualization of imbibition in porous media by environmental scanning electron microscopy: Application to reservoir rocks. J. Pet. Sci. Eng. 1998, 20(3-4): 133-139.

Diao, Y.J. Study on the reservoir characterization and CO2 migration underground in the Shenhua CCS demonstration project site. China University of Mining & Technology, Beijing, 2017.

Fanchi, J.R. Principles of Applied Reservoir Simulation-4th Edition. Gulf Professional Publishing, Oxford, United Kingdom, 2018.

Ginzburg, V.L., Landau, L.D. Towards the theory of super-conductivity. J. Exp. Theor. Phys. 1950, 20: 1064-1082.

Herring, A.L., Sheppard, A., Andersson, L., et al. Impact of wettability alteration on 3D nonwetting phase trapping and transport. Int. J. Greenhouse Gas Control 2016, 46: 175-186.

Holtz, M.H. Residual gas saturation to aquifer influx: A calculation method for 3-D computer reservoir model construction. Paper SPE 75502 Presented at SPE Gas Technologies Symposium, Calgary, Alberta, Canada, 30 April-2 May, 2002.

Holtzman, R. Effects of pore-scale disorder on fluid displacement in partially-wettable porous media. Sci. Rep. 2016, 6(1): 36221.

Holtzman, R., Segre, E. Wettability stabilizes fluid invasion into porous media via nonlocal, cooperative pore filling. Phys. Rev. Lett. 2015, 115(16): 164501.

Hu, R., Wan, J.M., Kim, Y., et al. Wettability impact on supercritical CO2 capillary trapping: Pore-scale visualization and quantification. Water Resour. Res. 2017, 53(8): 6377-6394.

IEA. Caprock systems for CO2 geological storage, 2011.

Iglauer, S., Ferno, M.A., Shearing, P., et al. Comparison of residual oil cluster size distribution, morphology and saturation in oil-wet and water-wet sandstone. J. Colloid Interface Sci. 2012, 375(1): 187-192.

Jacqmin, D. Calculation of two-phase Navier–Stokes flows using phase-field modeling. J. Comput. Phys. 1999, 155(1): 96-127.

Jamaloei, B.Y., Asghari, K., Kharrat, R., et al. Pore-scale two-phase filtration in imbibition process through porous media at high-and low-interfacial tension flow conditions. J. Pet. Sci. Eng. 2010, 72(3-4): 251-269.

Jing, J., Yang, Y.L., Tang, Z.H. Effects of formation dip angle and salinity on the safety of CO2 geological storage-A case study of Shiqianfeng strata with low porosity and low permeability in the Ordos Basin, China. J. Clean. Prod. 2019, 226: 874-891.

Joshi, M.A. Class of stochastic models for porous media. University of Kansas, Lawrence Kansas, 1974.

Kareem, R. Towards a Nanoscopic understanding of oil-sandstone wettability-implications for enhanced oil recovery. Paper Presented at 18th European Symposium on Improved Oil Recovery, Dresden, Germany, 14-16 April, 2015.

Kizaki, A., Tanaka, H., Ohashi, K., et al. Hydraulic fracturing in Inada granite and Ogino tuff with supercritical carbon dioxide. Paper Presented at ISRM Regional Symposium-7th Asian Rock Mechanics Symposium, Seoul, Korea, 15-19 October, 2012.

Kobus, H., de Haar, U. Perspektiven der Wasserforschung, DFG, 1995.

Krevor, S.C.M., Pini, R., Zuo, L., et al. Relative permeability and trapping of CO2 and water in sandstone rocks at reservoir conditions. Water Resour. Res. 2012, 48(2): W02532.

Kuang, D.Q., Li, Q., Wang, Y.S., et al. Numerical simulation of distribution of migration of CO2 in Shenhua carbon capture and storage demonstration project. Rock Soil Mech. 2014, 35(9): 2623-2634.

Kumar, A., Noh, M.H., Sepehrnoori, K., et al. Carbon dioxide capture for storage in deep geologic formations-results from the CO2 capture project: Vol. 2-geologic storage of carbon dioxide with monitoring and verification. Elsevier, London, UK, 2005.

Lenormand, R., Zarcone, C. Role of roughness and edges during imbibition in square capillaries. Paper SPE 13264 Presented at 59th SPE Annual Technical Conference and Exhibition, Houston, TX, 16-19 September, 1984.

Liu, H.J., Hou, Z.M., Li, X.C., et al. A preliminary site selection system for a CO2 -AGES project and its application in China. Environ. Earth Sci. 2015, 73(11): 6855-6870.

Liu, H.J., Hou, Z.M., Were, P., et al. Simulation of CO2 plume movement in multilayered saline formations through multilayer injection technology in the Ordos Basin, China. Environ. Earth Sci. 2014a, 71(10): 4447-4462.

Liu, H.J., Hou, Z.M., Were, P., et al. Modelling CO2 -brine-rock interactions in upper Paleozoic formations of Ordos Basin used for CO2 sequestration. Environ. Earth Sci. 2014b, 73(5): 2205-2222.

Liu, H.J., Li, Q., Were, P., et al. Worldwide status of CCUS technologies and their development and challenges in China. Geofluids 2017, 2017: 6126505.

Lv, P.F., Liu, Y., Chen, J.L., et al. Pore-scale investigation of effects of heterogeneity on CO2 geological storage using stratified sand packs. Greenhouse Gases: Sci. Technol. 2017, 7(6): 972-987.

Mattax, C.C., Kyte, J.R. Ever see a water flood? Oil Gas J. 1961, 59: 115-128.

Metz, B., Davidson, O., de Coninck, H.C., et al. IPCC special report on carbon dioxide capture and storage. Cambridge University Press, Cambridge and New York, 2005.

Miao, X., Wang, Y., Zhang, L., et al. Improved Vinegar & Wellington calibration for estimation of fluid saturation and porosity from CT images for a core flooding test under geologic carbon storage conditions. Micron 2019, 124: 102703.

Minto, J.M. Towards a rational design of gravel media water treatment filters: MRI investigation of the spatial heterogeneity in pollutant particle accumulation. University of Glasgow, Glasgow, 2014.

Mkemai, R.M., Gong, B. A modeling and numerical simulation study of enhanced CO2 sequestration into deep saline formation: A strategy towards climate change mitigation. Mitig. Adapt. Strateg. Glob. Chang. 2020, 25: 901-927.

Obdam, A., van der Meer, L.G.H., May, F., et al. Effective CO2 storage capacity in aquifers, gas fields, oil fields and coal fields. Paper Presented at Proceedings of the 6th International Conference on Greenhouse Gas Control Technologies, Kyoto, Japan, 1-4 October, 2002.

Osher, S., Sethian, J.A. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 1988, 79(1): 12-49.

Parry, M., Canziani, O., Palutikof, J., et al. Climate change: Impacts, adaptation and vulnerability. IPCC, 2007.

Perrin, J.C., Benson, S.M. An experimental study on the influence of sub-core scale heterogeneities on CO2 distribution in reservoir rocks. Transp. Porous Media 2010, 82(1): 93-109.

Prather, C.A. NMR studies of supercritical CO2 in carbon sequestration and immiscible two phase flow in porous media. Montana State University, Bozeman, 2015.

Raeini, A.Q., Blunt, M.J., Bijeljic, B. Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method. J. Comput. Phys. 2012, 231(17): 5653-5668.

Rokhforouz, M.R., Akhlaghi Amiri, H.A. Phase-field simulation of counter-current spontaneous imbibition in a fractured heterogeneous porous medium. Phys. Fluids 2017, 29(6): 062104.

Shakibaeinia, A., Jin, Y.C. Mesh-free lagrangian modeling of mutiphase flow. Paper Presented at Proceedings of 20th Annual Conference of the CFD Society of Canada, Canmore, Alberta, 9-11 May, 2012.

Singh, H. Impact of four different CO2 injection schemes on extent of reservoir pressure and saturation. Adv. Geo-Energy Res. 2018, 2(3): 305-318.

Song, Y.C., Jiang, L.L., Liu, Y., et al. An experimental study on CO2 /water displacement in porous media using high-resolution Magnetic Resonance Imaging. Int. J. Greenhouse Gas Control 2012, 10: 501-509.

Suekane, K., Furukawa, N., Tsushima, S., et al. Application of MRI in the measurement of two phase flow of supercritical CO2 and water in porous rocks. J. Porous Media 2009, 2(12): 143-154.

Suekane, T., Izumi, T., Okada, K. Capillary trapping of supercritical CO2 in porous media at the pore scale. Comput. Methods Multiphase Flow VI, WIT Trans. Eng. Sci. 2011, 70: 311-320.

Sun, Y.H., Bryant, S.L. Influence of grain size distribution and varying heterogeneity on local capillary trapping. Energy Procedia 2014, 63: 5607-5618.

Sun, Y.K., Li, Q., Fan, C.K. Laboratory core flooding experiments in reservoir sandstone under different sequestration pressures using multichannel fiber bragg grating sensor arrays. Int. J. Greenhouse Gas Control 2017, 60: 186-198.

Trojer, M., Szulczewski, M.L., Juanes, R. Stabilizing fluid-fluid displacements in porous media through wettability alteration. Phys. Rev. Appl. 2015, 3(5): 054008.

Turner, M.L., Knüfing, L., Arns, C.H., et al. Three-dimensional imaging of multiphase flow in porous media. Phys. A 2004, 339(1-2): 166-172.

Van der Waals, J.D. The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density. J. Stat. Phys. 1979, 20(2): 200-244.

Wan, Y.Y. Migration and transformation of CO2 in CO2 geological sequestration process of Shiqianfeng saline aquifers in Ordos Basin. Jilin University, Changchun, 2012.

Wang, T., Song, Y., Zhao, Y., et al. Measurement of immiscible CO2 flooding processes and permeability reduction due to asphaltene precipitation by X-ray CT imaging. Energy Proced 2013, 37: 6920-6927.

Wei, N., Gill, M., Crandall, D., et al. CO2 flooding properties of Liujiagou sandstone: influence of sub-core scale structure heterogeneity. Greenhouse Gases: Sci. Technol. 2014, 4(3): 400-418.

Wu, W.H. Research on the characteristics and diagenesis of sandstone in the Upper Paleozoic reservoir in Ordos Basin. Chengdu University of Technology, Chengdu, 2011.

Xing, W.L., Song, Y.C., Zhang, Y., et al. Research progress of the interfacial tension in supercritical CO2 -water/oil system. Energy Procedia 2013, 37: 6928-6935.

Xu, L., Li, Q., Zhang, X.Y. Migration and storage character-istics of supercritical CO2 in anisotropic sandstones with clay interlayers based on X-CT experiments. J. Hydrol. 2020, 580: 124239.

Xu, R.N., Luo, S., Jiang, P.X. Pore scale numerical simulation of supercritical CO2 injecting into porous media containing water. Energy Procedia 2011, 4: 4418-4424.

Yan, W.C., Sun, J.M. Analysis of research present situation of microscopic remaining oil. Progress in Geophysics 2016, 31(5): 2198-2211. (in Chinese)

Yeong, C.L.Y., Torquato, S. Reconstructing random media: Three-dimensional media from two-dimensional cuts. Phys. Rev. E 1998, 58(1): 224-233.

Youssef, S., Bauer, D., Bekri, S., et al. 3D in-situ fluid distribution imaging at the pore scale as a new tool for multiphase flow studies. Paper SPE 135194 Presented at SPE Annual Technical Conference and Exhibition, Florence, Italy, 19-22 September, 2010.

Yu, M.H., Song, Y.C., Jiang, L.L., et al. CO2 /water displace-ment in porous medium under pressure and temperature conditions for geological storage. Energy Procedia 2014, 61: 282-285.

Yue, P.T., Feng, J.J., Liu, C., et al. A diffuse-interface method for simulating two-phase flows of complex fluids. J. Fluid Mech. 2004, 515: 293-317.

Yue, P.T., Zhou, C.F., Feng, J.J., et al. Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing. J. Comput. Phys. 2006, 219(1): 47-67.

Zhang, Y., Nishizawa, O., Kiyama, T., et al. Flow behavior of supercritical CO2 and brine in Berea sandstone during drainage and imbibition revealed by medical X-ray CT images. Geophys. J. Int. 2014, 197(3): 1789-1807.

Zhou, J., Hu, N., Xian, X., et al. Supercritical CO2 fracking for enhanced shale gas recovery and CO2 sequestration: Results, status and future challenges. Adv. Geo-Energy Res. 2019, 3(2): 207-224.

Zhou, X.Q., Zhang, Z.S., Zhang, C., et al. A new lithologic classification method for tight sandstone reservoirs based on rock components and logging response characteristics. J. Geophys. Eng. 2017, 14(6): 1599-1607.

Zhu, Q.L., Zhou, Q.L., Li, X.C. Numerical simulation of displacement characteristics of CO2 injected in pore-scale porous media. J. Rock Mech. Geotech. Eng. 2016, 8(1): 87-92.