EVALUATION OF RELATIVE PERMEABILITY MODELS IN CO2/BRINE SYSTEM USING MIXED AND HYBRID FINITE ELEMENT METHOD
Keywords:
Relative permeability, CO2/brine system, Brook-Corey model, Van Genuchten model, simplified relative permeability (SM) modelAbstract
Carbon dioxide capture and storage (CCS) is one of the promising technology that reduces the release of anthropogenic CO2 into the atmosphere. Saline aquifer has the largest storage capacity globally and it becomes the subject of interest in this study. For better prediction of CO2 flow, the description of relative permeability relies on empirical data but there is a lack of data for CO2/brine system. The most widely used empirical equation is the Brook-Corey and Van Genuchten models. The sophisticated nature of the mathematical equation leads to long computational time despite the better predictions it provides. This paper proposed a simplified relative permeability model (SM) which is proven to highly reduce the computational time by 8.3 times (comparing with BC model) and 5.4 times (comparing with VG model). SM have an acceptable accuracy for CO2 flow prediction, with about 0.9 of R2 coefficient (comparing with VG model) but 0.05 of R2 coefficient (comparing with BC model) for a two year simulation. The numerical method applied for two phase flow differential equation is the recently developed mixed hybrid finite element method. The simplified model is recommended for prediction of one year injection period in preliminary study.References
IPCC, “Climate Change: The Physical Science Basis. Contribution of Working Group 1 to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change,†Cambridge University Press, Cambridge, UK, 2007.
S. Scharf and T. Clemens, “CO2-Sequestration Potential in Austrian Oil and Gas Fields,†in SPE Europe/EAGE Annual Conference and Exhibition, Society of Petroleum Engineers, Vienna, Austria, 2006.
International Energy Agency (IEA/OECD), “Prospects for CO2 Capture and Storage,†Paris, France, 2004.
J. M. Nordbotten, “Semianalytical Solution for CO2 Leakage Through an Abandoned Well,†in Environment, Science and Technology, 2005, 39(2), pp. 602-611.
J. Nordbotten, M. Celia and S. Bachu, “Injection and Storage of CO2 in Deep Saline Aquifers: Analytic Solution for CO2 Plume Evolution during Injection,†in Transport Porous Media, 2005, 70,
pp. 339-360.
P. Freund, “International Developments in Geological Storage of CO2,†in Exploration Geophysics, 37, 2006,pp. 1-9.
B. Wiese, B and S.A. Mathias, “Semi-Analytical Solution for Constant Pressure Injection of CO2 in Saline Aquifers,†in Energy Procedia, 2010.
U. Goerke, C. Park, W. Wang, A. Singh and O. Kolditz, “Numerical Simulation of Multiphase Hydromechanical Processes Induced by CO2 Injection into Deep Saline Aquifers,†in Oil and Gas
Science and Technology, 66(1), 2011, pp. 105-118.
S. Mathias, G.J. Miguel, K.E. Thatcher and R.W. Zimmerman, “Pressure Buildup During CO2 Injection into a Closed Brine Aquifer,†in Transp Porous Media, 89, 2011, pp. 383-397.
S. Bachu, S, D. Bonijoly, J. Bradshaw, R. Burruss, S. Holloway, N.P. Christensen and O.M. Mathiassen, “CO2 Storage Capacity Estimation: Methodology and Gaps,†in International Journal of Greenhouse Gas Control, 1, 2007, pp. 430-443.
Metz B. Davidson O, d. C, “Special Report on Carbon Dioxide Capture and Storage,†IPCC (Intergovernmental Panel on Climate Change), Cambridge, UK and New York, USA: Cambridge
University press, 2005.
C. Ҫinayuc, “The Largest Potential Volumes for Geological Storage of CO2,†in CO2 Capture and Storage - Regional Awareness Raising Workshop, 2012.
D. Peaceman, “Interpretation of Well-block Interpretation of Well-block Pressures in Numerical Reservoir Simulation with Non-square Grid Blocks and Anisotropic,†SPE Journal, 1983, pp. 531-
K.A. Lie, S. Krogstad, I.S. Ligaarden, J.R. Natvig, H.M. Nilsen and B. Skaflestad, “Open-source MATLAB Implementation of Consistent Discretisations on Complex Grids,†in Computer
Geoscience, 2012, pp. 297-322.
Z. Chen, “Reservoir Simulation – Mathematical Techniques in Oil Recovery,†Society for Industrial and Applied Mathematics, 2007.
Z. Chen, G. Huan, Y. Ma, “Computational Methods for Multiphase Flows in Porous Media,†Society of Industrial and Applied Mathematics, 2006.
K. Pruess and N. Müller, “Formation dry-out from CO2 injection into saline aquifers: 1. Effects of solids precipitation and their mitigation,†in Water Resources Research, 45(3), 2009, pp. W03402.
R. Juanes, E.J. Spiteri, F.M. Orr Jr., M.J. Blunt, “Impact of Relative Permeability Hysteresis on Geological CO2 Storage,†in Water Resources Research, 2, 2006, pp. W12418.
S. Benson and R. Pini, “Relative Permeability Analyses to Describe Multi-Phase Flow in CO2 Storage Reservoirs,†Imperial College London, Standford University, 2013.
S. Bachu, “Screening and Ranking of Sedimentary Basins for Sequestration of CO2 in Geological Media in Response to Climate Change,†in Environmental Geology, 44, 2003: pp. 277-289.
A. Bushch and N. Müller, “Determining CO2/Brine Relative Permeability and Capillary Threshold Pressures for Reservoir Rocks and Caprocks: Recommendations for Development of Standard
Laboratory Protocols,†in Energy Procedia, 4, 2011, pp. 6053-6060.
R.H. Brooks and A.T. Corey, “Hydraulic Properties of Porous Media, in Hydrogeology Papers, Colorado State University,†Fort Collins, Colorado, 1964, pp. 27.
L. André, M. Azaroual, Y. Peysson and B. Bazin, “Impact of Porous Medium Desiccation during Anhydrous CO2 Injection in Deep Saline Aquifers: Up Scaling from Experimental Results at
Laboratory Scale to Near-Well Region,†in Energy Procedia 4, 2011, pp. 4442-4449.
M. Honarpour, L. Koederitz and A.H. Harvey, “Relative Permeability of Petroleum Reservoirs,†CRC Press, Boca Raton, Florida, 1986.
L.A. Rapoport and W.J. Leas, “Relative Permeability to Liquid in Liquid-Gas System,†Trans. AIME, 1951: pp. 192, 83.
J.I. Gates and W.J. Leitz, “Relative Permeabilities of California Cores by the Capillary Pressure Method,†in API Meeting, Los Angeles, 1950, pp. 286.
M.R.J. Wyllie and G.H.F. Gardner, “The Generalized Kozeny-Carmen Equation, Its Application to Problems of Multiphase Flow in Porous Media,†in World Oil, 1958, pp. 146,121.
A.T. Corey, “The Interrelation between Gas and Oil Relative Permeabilities,†in Prod. Mon, 19(38), 1954.
R.H. Brooks and A.T. Corey, “Properties of Porous Media Affecting Fluid Flow,†J. Irrig. Drain. Div., 6, 1966.
R.H. Brooks and A.T. Corey, “Hydraulic Properties of Porous Media,†in Hydrology Papers (3), Colorado State University, Ft. Collins, Colorado, 1964.
Van Genuchten, “A Closed-Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils,†Soil Science Society of America Journal 44(5), Madison, USA, 1980.
C. Chalbaud, J.M. Lombard, F. Martin, M. Robin, H. Bertin, P. Egermann, “Two Phase Flow Properties of Brine-CO2 Systems in a Carbonate Core: Influence of Wettability on Pc and kr,†in
Reservoir Characterization and Simulation Conference SPE/EAGE, Abu Dhabi, UAE, 2007.
S Bachu and B Bennion, “Effects of In-Situ Conditions on Relative Permeability Characteristics of CO2-Brine System,†Environmental Geology, 54(8), 2008, pp. 1707-1722.
J.E. Aarnes, S. Krogstad and K.A. Lie, “Multiscale Mixed/Mimetic Methods on Corner-Point Grids,†in Computational Geoscience 12(3), 2008, pp. 297-315.
Y. Mualem, “A New Model for Predicting the Hydraulic Conductivity of Unsaturated Porous Media,†in Water Resource Research, 12(3), 1976.
C.J. Seto, F.M. Orr Jr., “Analytical Solutions for Multicomponent, Two-Phase Flow in Porous Media with Double Contact Discontinuities,†in Transport in Porous Media, 78(2), 2009, pp. 161-183.
Negara A., M. Fathy E-Amin and S. Sun, “Simulation of CO2 Plume in Porous Media: Consideration of Capillarity and Buoyancy Effects,†in International Journal of Numerical Analysis and Modeling, Series B, 2(4), 2011, pp. 315-337.
Downloads
Published
How to Cite
Issue
Section
License
Copyright of articles that appear in Jurnal Mekanikal belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.
