Abstract
Large-scale storage of CO2 in saline aquifers is considered an essential technology to mitigate CO2 emissions. Storage potential has mainly been estimated based on volumetrics or detailed simulations for specific injection scenarios. In practice, achievable storage capacity will depend on engineering, economical, and political restrictions and be limited by the length of the injection period, costs associated with potential CO2 leakage, pressure management, etc. We show how achievable storage volumes can be estimated and maximized using adjoint-based optimization and a hierarchy of simulation methods. In particular, vertical equilibrium models provide the simplest possible description of the flow dynamics during the injection and early post-injection period, while percolation type methods provide effective means for forecasting the long-term fate of CO2 during the later migration stages. We investigate the storage volumes that can be achieved for several formations found along the Norwegian Continental Shelf by optimizing well placement and injection rates, and using production wells for pressure management when necessary. Optimal strategies are obtained under various objectives and simple but realistic constraints, namely: penalization of CO2 leakage, minimization of well cost, and restriction of pressure buildup.
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Andersen, O., Nilsen, H.M., Lie, K.A.: Reexamining CO2 storage capacity and utilization of the Utsira Formation ECMOR XIV – 14th European Conference on the Mathematics of Oil Recovery, Catania, Sicily, Italy, 8-11 September. EAGE. doi:10.3997/2214-4609.20141809 (2014)
Bachu, S.: Review of CO2 storage efficiency in deep saline aquifers. Int. J. Greenh. Gas Con. 1–15 (2015). doi:10.1016/j.ijggc.2015.01.007
Bachu, S., Melnik, A., Bistran, R.: Approach to evaluating the CO2 storage capacity in Devonian deep saline aquifers for emissions from oil sands operations in the Athabasca area, Canada. Energy Procedia 63, 5093–5102 (2014). doi:10.1016/j.egypro.2014.11.539
Bellout, M.C., Echeverría Ciaurri, D., Durlofsky, L.J., Foss, B., Kleppe, J.: Joint optimization of oil well placement and controls. Comput. Geosci. 16(4), 1061–1079 (2012). doi:10.1007/s10596-012-9303-5
Bentham, M., Mallows, T., Lowndes, J., Green, A.: CO2 STORage Evaluation Database (CO2 Stored). the UK’s online storage atlas. Energy Procedia 63(0), 5103–5113 (2014). doi:10.1016/j.egypro.2014.11.540
Birkholzer, J.T., Oldenburg, C.M., Zhou, Q.: CO2 migration and pressure evolution in deep saline aquifers. Int. J. Greenh. Gas Con. 40, 203–220 (2015). doi:10.1016/j.ijggc.2015.03.022
Bøe, R., Magnus, C., Osmundsen, P.T., Rindstad, B.I.: CO2 point sources and subsurface storage capacities for CO2 in aquifers in Norway. Tech. rep. Geological Survey of Norway, Trondheim (2002)
Bradshaw, B.E., Spencer, L.K., Lahtinen, A.L., Khider, K., Ryan, D.J., Colwell, J.B., Chirinos, A., Bradshaw, J., Draper , J.J., Hodgkinson, J., McKillop, M.: An assessment of Queensland’s CO2 geological storage prospectivity–The Queensland CO2 geological storage atlas. Energy Procedia 4(0), 4583–4590 (2011). doi:10.1016/j.egypro.2011.02.417
Bradshaw, J., Bachu, S., Bonijoly, D., Burruss, R., Holloway, S., Christensen, N.P., Mathiassen, O.M.: CO2 storage capacity estimation: Issues and development of standards. Int. J. Greenh. Gas Con. 1(1), 62–68 (2007). doi:10.1016/S1750-5836(07)00027-8
Bruvoll, A., Larsen, B.M.: Greenhouse gas emissions in Norway: Do carbon taxes work? Statistics Norway Discussion Papers 337. Statistics Norway, Kongsvinger (2002). http://www.ssb.no
Cavanagh, A.J., Haszeldine, R.S., Nazarian, B.: The Sleipner CO2 storage site: using a basin model to understand reservoir simulations of plume dynamics. First Break 33(June), 61–68 (2015)
Chen, C., Li, G., Reynolds, A.: Robust constrained optimization of short- and long-term net present value for closedloop reservoir management. SPE J. 17(3), 849–864 (2012). doi:10.2118/141314-pa
Class, H., Ebigbo, A., Helmig, R., Dahle, H.K., Nordbotten, J.M., Celia, M.A., Audigane, P., Darcis, M., Ennis-King, J., Fan, Y., Flemisch, B., Gasda, S.E., Jin, M., Krug, S., Labregere, D., Naderi Beni, A., Pawar, R.J., Sbai, A., Thomas, S.G., Trenty, L., Wei, L.: A benchmark study on problems related to CO2 storage in geologic formations. Comput. Geosci. 13(4), 409–434 (2009). doi:10.1007/s10596-009-9146-x
Class, H., Kissinger, A., Knopf, S., Konrad,W., Noack, V., Scheer, D.: Combined Natural and Social Science Approach for Regional-Scale Characterisation of CO2 Storage Formations and Brine Migration Risks (CO2BRIM), 209–227. Springer International Publishing, Cham (2015). doi:10.1007/978-3-319-13930-2_10
Cloete, M.: Atlas on geological storage of carbon dioxide in South Africa. Tech. rep., Council for Geoscience, Johannesburg, South Africa (2010). sacccs.org.za/wp-content/uploads/2010/11/Atlas.pdf
Craig, J., Gorecki, C.D., Ayash, S.C., Liu, G., Braunberger, J.R.: A comparison of volumetric and dynamic storage efficiency in deep saline reservoirs: An overview of IEAGHG study IEA/CON/13/208. Energy Procedia 63, 5185–5191 (2014). doi:10.1016/j.egypro.2014.11.549
Eigestad, G.T., Dahle, H.K., Hellevang, B., Riis, F., Johansen, W.T., Øian, E.: Geological modeling and simulation of CO2 injection in the Johansen formation. Comput. Geosci. 13(4), 435–450 (2009). doi:10.1007/s10596-009-9153-y
Elenius, M.T., Nordbotten, J.M., Kalisch, H.: Convective mixing influenced by the capillary transition zone. Comput. Geosci. 18(3), 417–431 (2014). doi:10.1007/s10596-014-9415-1
Estublier, A., Lackner, A.S.: Long-term simulation of the Snøhvit CO2 storage. Energy Procedia 1(1), 3221–3228 (2009). doi:10.1016/j.egypro.2009.02.106
Gasda, S.E., Nordbotten, J.M., Celia, M.A.: Application of simplified models to CO2 migration and immobilization in large-scale geological systems. Int. J. Greenh. Gas Con. 9, 72–84 (2012). doi:10.1016/j.ijggc.2012.03.001
Ghomian, Y., Urun, M.B., Pope, G.A., Sepehrnoori, K.: Investigation of economic incentives for CO2 sequestration SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers. doi:10.2118/116717-MS (2008)
Grøver, A., Rinna, J., Lothe, A.E., Bergmo, P., Wessel-Berg, D.: How and when could basin modelling approaches be useful for CO2 storage assessment 7th Trondheim CCS Conference, 4th-5th of June (2013)
Halland, E.K., Mujezinović, J., Riis, F. (eds.): CO2 Storage Atlas: Norwegian Continental Shelf. Norwegian Petroleum Directorate, (2014) [http://www.npd.no/en/ Publications/Reports/Compiled-CO2-atlas/]
Hou, J., Zhou, K., Zhang, X.S., Kang, X.D., Xie, H.: A review of closed-loop reservoir management. Pet. Sci. 12(1), 114–128 (2015). doi:10.1007/s12182-014-0005-6
International Energy Agency: Key World Energy Statistics 2015 (2015). tinyurl.com/zkp2af3 (2017)
Jahangiri, H.R., Zhang, D.: Ensemble based co-optimization of carbon dioxide sequestration and enhanced oil recovery. Int. J. Greenh. Gas Con. 8, 22–33 (2012). doi:10.1016/j.ijggc.2012.01.013
Jansen, J.D.: Adjoint-based optimization of multi-phase flow through porous media – a review. Comput. Fluids 46(1), 40–51 (2011). 10th {ICFD} Conference Series on Numerical Methods for Fluid Dynamics (ICFD 2010) doi:10.1016/j.compfluid.2010.09.039
Krogstad, S., Lie, K.A., Møyner, O., Nilsen, H.M., Raynaud, X., Skaflestad, B.: MRST-AD – an open-source framework for rapid prototyping and evaluation of reservoir simulation problems. In: SPE Reservoir Simulation Symposium, 23–25 February, Houston, Texas (2017). doi:10.2118/173317-MS
Lewis, D., Bentham, M., Cleary, T., Vernon, R., O’Neill, N., Kirk, K., Chadwick, A., Hilditch, D., Michael, K., Allinson, G., Neal, P., Ho, M.: Assessment of the potential for geological storage of carbon dioxide for the island of Ireland. Tech. rep., Sustainable Energy Ireland, Environmental Protection Agency, Geological Survey of Northern Ireland, and Geological Survey of Ireland (2008)
Lie, K.A., Krogstad, S., Ligaarden, I.S., Natvig, J.R., Nilsen, H.M., Skaflestad, B.: Open source MATLAB implementation of consistent discretisations on complex grids. Comput. Geosci. 16(2), 297–322 (2012). doi:10.1007/s10596-011-9244-4
Lie, K.A., Nilsen, H.M., Andersen, O., Møyner, O.: A simulation workflow for large-scale CO2 storage in the Norwegian North Sea. Comput. Geosci. 20(3), 607–622 (2016). doi:10.1007/s10596-015-9487-6
Lothe, A.E., Emmel, B., Grøver, A., Bergmo, P.E.: CO2 storage modelling and capacity estimation for the Trøndelag platform, offshore Norway - using a basin modelling approach. Energy Procedia 63(1876), 3648–3657 (2014). doi:10.1016/j.egypro.2014.11.394
MRST: The MATLAB Reservoir Simulation Toolbox (2016). www.sintef.no/MRST
MRST-co2lab: Numerical CO2 laboratory (2016). www.sintef.no/co2lab (2016a)
Natural Resources Canada, Mexican Ministry of Energy, and U.S. Department of Energy: The North American Carbon Storage Atlas (2012). www.nacsap.org/
Nilsen, H.M., Lie, K.A., Andersen, O.: Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-co2lab. Comput. Geosci. 79, 15–26 (2015). doi:10.1016/j.cageo.2015.03.001
Nilsen, H.M., Lie, K.A., Andersen, O.: Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe. Comput. Geosci. 20(1), 49–67 (2016). doi:10.1007/s10596-015-9547-y
Nilsen, H.M., Lie, K.A., Andersen, O.: Robust simulation of sharp-interface models for fast estimation of CO2 trapping capacity. Comput. Geosci. 20(1), 93–113 (2016). doi:10.1007/s10596-015-9549-9
Nilsen, H.M., Lie, K.A., Møyner, O., Andersen, O.: Spillpoint analysis and structural trapping capacity in saline aquifers using MRST-co2lab. Comput. Geosci. 75, 33–43 (2015). doi:10.1016/j.cageo.2014.11.002
Nilsen, H.M., Syversveen, A.R., Lie, K.A., Tveranger, J., Nordbotten, J.M.: Impact of top-surface morphology on CO2 storage capacity. Int. J. Greenh. Gas Control 11(0), 221–235 (2012). doi:10.1016/j.ijggc.2012.08.012
Nordbotten, J.M., Celia, M.A.: Geological Storage of CO2: Modeling Approaches for Large-Scale Simulation. John Wiley & Sons, Inc (2012)
Nordbotten, J.M., Flemisch, B., Gasda, S.E., Nilsen, H.M., Fan, Y., Pickup, G.E., Wiese, B., Celia, M.A., Dahle, H.K., Eigestad, G.T., Pruess, K.: Uncertainties in practical simulation of CO2 storage. Int. J. Greenh. Gas Control 9(0), 234–242 (2012). doi:10.1016/j.ijggc.2012.03.007
Pachauri, R.K., Allen, M.R., Barros, V.R., Broome, J., Cramer, W., Christ, R., Church, J.A., Clarke, L., Dahe, Q., Dasgupta, P., et al.: Climate Change 2014: Synthesis Report. Contribution of Working Groups I, II and III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. IPCC, Geneva, Switzerland (2014)
Popova, O.H., Small, M.J., McCoy, S.T., Thomas, A.C., Rose, S., Karimi, B., Carter, K., Goodman, A.: Spatial stochastic modeling of sedimentary formations to assess CO2 storage potential. Environ. Sci. Technol. 48(11), 6247–6255 (2014). doi:10.1021/es501931r
Roerdink, J.B.T.M., Meijster, A.: The watershed transform: Definitions, algorithms and parallelization strategies. Fund. inform. 41(1, 2), 187–228 (2000). doi:10.3233/FI-2000-411207
Sylta, Ø.: Hydrocarbon migration modelling and exploration risk. Ph.D. thesis, Norwegian University of Science and Technology, Faculty of Engineering Science and Technology, Department of Geology and Mineral Resources Engineering (2004)
U.S. Department of Energy, Office of Fossil Energy: The 2015 United States Carbon Utilization and Storage Atlas, 5th edn (2012). netl.doe.gov/research/coal/carbon-storage/atlasv
Watson, F.E., Mathias, S.A., Daniels, S.E., Jones, R.R., Davies, R.J., Hedley, B.J., van Hunen, J.: Dynamic modeling of a UK North Sea saline formation for CO2 sequestration. Petrol. Geosci. 20(2), 169–185 (2014). doi:10.1144/petgeo2012-072
Wei, L., Saaf, F.: Estimate CO2 storage capacity of the Johansen formation: numerical investigations beyond the benchmarking exercise. Comput. Geosci. 13(4), 451–467 (2009). doi:10.1007/s10596-008-9122-x
Wolfe, P.: Convergence conditions for ascent methods. SIAM Rev. 11(2), 226–235 (1969). doi:10.1137/1011036
Wolfe, P.: Convergence conditions for ascent methods. II: Some corrections. SIAM Rev. 13(2), 185–188 (1971). doi:10.1137/1013035
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The work was funded in part by the Research Council of Norway through grant no. 243729 (Simulation and optimization of large-scale, aquifer-wide CO2 injection in the North Sea).
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Allen, R., Nilsen, H.M., Andersen, O. et al. On obtaining optimal well rates and placement for CO2 storage. Comput Geosci 21, 1403–1422 (2017). https://doi.org/10.1007/s10596-017-9631-6
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DOI: https://doi.org/10.1007/s10596-017-9631-6