An Uncertainty Quantification Framework for Studying the Effect of Spatial Heterogeneity in Reservoir Permeability on CO2 Sequestration
详细信息    查看全文
  • 作者:Zhangshuan Hou (1)
    Dave W. Engel (2)
    Guang Lin (2)
    Yilin Fang (1)
    Zhufeng Fang (1)
  • 关键词:Uncertainty quantification ; Efficient sampling ; Reservoir heterogeneity ; Carbon sequestration
  • 刊名:Mathematical Geosciences
  • 出版年:2013
  • 出版时间:October 2013
  • 年:2013
  • 卷:45
  • 期:7
  • 页码:799-817
  • 全文大小:4473KB
  • 参考文献:1. Atanassov E, Ivanovska S, Karaivanova A (2010) Tuning the generation of Sobol sequence with Owen scrambling. In: Proceedings of LSSC09 (accepted for publication). In: LNCS, vol 5910, pp 459鈥?66 (to appear). ISSN: 0302-9743
    2. Balay S, Brown J, Buschelman K, Eijkhout V, Gropp WD, Kaushik D, Knepley MG, McInness LC, Smith BF, Zhang H (2011) PETSc users manual, ANL-95/11, Revision 3.2. Argonne National Laboratory, Argonne, 211 pp
    3. Barnes DA, Bacon DH, Kelley SR (2009) Geological sequestration of carbon dioxide in the Cambrian Mount Simon sandstone: regional storage capacity, site characterization, and large scale injection feasibility; Michigan Basin, USA. Environ Geosci 16(3):163鈥?83. doi:10.1306/eg.05080909009 CrossRef
    4. Brooks RH, Corey AT (1966) Properties of porous media affecting fluid flow. J Irrig Drain Div 93(3):61鈥?8
    5. Burdine NT (1953) Relative permeability calculations from pore-size distribution data. Pet Trans AIME 198:71鈥?7
    6. Caflisch RE (1998) Monte Carlo and quasi-Monte Carlo methods. In: Iserles A (ed) Acta Numerica, vol 7. Cambridge University Press, Cambridge, pp 1鈥?9. 1998. doi:10.1017/S0962492900002804
    7. Cools R (1999) Monomial cubature rules since 鈥淪troud鈥? a compilation鈥攑art 2. J Comput Appl Math 112:21鈥?7. doi:10.1016/0377-0427(93)90027-9 CrossRef
    8. Cools R, Rabinowitz P (1993) Monomial cubature rules since 鈥淪troud鈥? a compilation. J Comput Appl Math 48:309鈥?26. doi:10.1016/0377-0427(93)90027-9 CrossRef
    9. Dawson R, Hall J (2006) Adaptive importance sampling for risk analysis of complex infrastructure systems. Proc R Soc A 462:3343鈥?362. doi:10.1098/rspa.2006.1720 CrossRef
    10. Deutsch CV (2002) Geostatistical reservoir modeling, 1st edn. Oxford University Press, New York, 384聽pp
    11. Deutsch CV, Journel AG (1998) GSLIB: geostatistical software library and user鈥檚 guide, 2nd edn. Oxford University Press, New York, 384 pp
    12. Dick J, Pillichshammer F (2010) Digital nets and sequences: discrepancy theory and quasi-Monte Carlo integration. Cambridge University Press, Cambridge, UK, 618 pp
    13. Eccles JK, Pratson L, Newell NG, Jackson RB (2009) Physical and economic potential of geological CO2 sequestration in saline aquifers. Environ Sci Technol 43(6):1962鈥?969. doi:10.1021/es801572e CrossRef
    14. Engel DW, Liebetrau AM, Jarman KD, Ferryman TA, Scheibe TD, Didier BT (2004) An iterative uncertainty assessment technique for environmental modeling. In: Mowrer HT, McRoberts R, VanDeusen PC (eds) The joint proceedings of the accuracy and environmetrics, 2004 conferences. http://www.spatial-accuracy.org/system/files/Engel2004accuracy.pdf
    15. Fayer MJ, Simmons CS (1995) Modified soil water retention functions for all matric suctions. Water Resour Res 31:1233鈥?238 CrossRef
    16. Friedman JH (1991) Multivariate adaptive regression splines. Ann Stat 19(1):1鈥?6 CrossRef
    17. Givens GH, Raftery AE (1996) Local adaptive importance sampling for multivariate densities with strong nonlinear relationships. J Am Stat Assoc 91(433):132鈥?41 CrossRef
    18. Hou Z, Rubin Y (2005) On MRE concepts and prior compatibility issues in vadose zone inverse and forward modeling. Water Resour Res 41:W12425. doi:10.1029/2005WR004082 CrossRef
    19. Hou Z, Rockhold ML, Murray CJ (2012a) Evaluating the impact of caprock and reservoir properties on potential risk of CO2 leakage after injection. Environ Earth Sci 66(8):2403鈥?415. doi:10.1007/s12665-011-1465-2 CrossRef
    20. Hou Z, Huang M, Leung LR, Lin G, Ricciuto DM (2012b) Sensitivity of surface flux simulations to hydrologic parameters based on an uncertainty quantification framework applied to the Community Land Model. J Geophys Res 117:D15108 CrossRef
    21. Hou Z, Rubin Y, Hoversten GM, Vasco D, Chen J (2006) Reservoir parameter identification using minimum relative entropy-based Bayesian inversion of seismic AVA and marine CSEM data. Geophysics 71(6):O77鈥揙88 CrossRef
    22. Izgec O, Demiral B, Bertin H, Akin S (2008) CO2 injection into saline carbonate aquifer formations I: laboratory investigation. Transp Porous Media 72:1鈥?4. doi:10.1007/s11242-007-9132-5 CrossRef
    23. Kitanidis PK (1997) Introduction to geostatistics: applications in hydrogeology. Cambridge University Press, Cambridge, UK, 272聽pp CrossRef
    24. Knauss KG, Johnson JW, Steefel CI (2005) Evaluation of the impact of CO2, co-contaminant gas, aqueous fluid and reservoir rock interactions on the geological sequestration of CO2. Chem Geol 217:339鈥?50 CrossRef
    25. Lin G, Tartakovsky AM (2009) An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media. Adv Water Resour 32(5):712鈥?22. doi:10.1016/j.advwatres.2008.09.003 CrossRef
    26. Message Passing Interface Forum (2009). http://www.mpi-forum.org/
    27. Nieplocha J, Palmer B, Tipparaju V, Krishnan M, Trease H, Apra E (2006) Advances, applications and performance of the Global Arrays shared memory programming toolkit. Int J High Perform Comput Appl 20(2):203鈥?31. doi:10.1177/1094342006064503 CrossRef
    28. Nordbotten JM, Celia MA, Bachu S (2005) Injection and storage of CO2 in deep saline aquifers: analytical solution for CO2 plume evolution during injection. Transp Porous Media 58(3):339鈥?60. doi:10.1007/s11242-004-0670-9 CrossRef
    29. Oldenburg CM, Unger AJA (2003) On leakage and seepage from geologic carbon sequestration sites: unsaturated zone attenuation. Vadose Zone J 2:287鈥?96. doi:10.2113/2.3.287
    30. Pruess K (2008) On CO2 fluid flow and heat transfer behavior in the subsurface, following leakage from a geologic storage reservoir. Environ Geol 54(8):1677鈥?686. doi:10.1007/s00254-007-0945-x CrossRef
    31. Rutqvist J, Birkholzer JT, Cappa F, Tsang C-F (2007) Estimating maximum sustainable injection pressure during geological sequestration of CO2 using coupled fluid flow and geomechanical fault-slip analysis. Energy Convers Manag 48(6):1798鈥?807 CrossRef
    32. Smolyak S (1963) Quadrature and interpolation formulas for tensor products of certain classes of functions. Sov Math Dokl 4:240鈥?43
    33. Sobol IM (1967) Distribution of points in a cube and approximate evaluation of integrals. USSR Comput Math Math Phys 7:86鈥?12 CrossRef
    34. Sobol IM, Shukhman BV (2007) Quasi-random points keep their distance. Math Comput Simul 75(3鈥?):80鈥?6. doi:10.1016/j.matcom.2006.09.004 CrossRef
    35. Tarantola A (2005) Inverse problem theory and methods for model parameter estimation. Society for Industrial and Applied Mathematics, Philadelphia, 352 pp CrossRef
    36. Wang X (2009) Dimension reduction techniques in quasi-Monte Carlo methods for option pricing. INFORMS J Comput 21(3):488鈥?04 CrossRef
    37. White MD, Oostrom M (2006) STOMP鈥攕ubsurface transport over multiple phases鈥攙ersion 4.0鈥攗ser鈥檚 guide. PNNL-15782, Pacific Northwest National Laboratory, Richland, Washington, 120 pp
    38. Woodbury AD, Ulrych TJ (1993) Minimum relative entropy鈥攆orward probabilistic modeling. Water Resour Res 29(8):2847鈥?860 CrossRef
    39. Xiu D, Hesthaven JS (2005) High order collocation methods for differential equations with random inputs. SIAM J Sci Comput 27(3):1118鈥?139 CrossRef
  • 作者单位:Zhangshuan Hou (1)
    Dave W. Engel (2)
    Guang Lin (2)
    Yilin Fang (1)
    Zhufeng Fang (1)

    1. Earth Systems Science Division, Pacific Northwest National Laboratory, Post Office Box 999, Richland, WA, 99352, USA
    2. Computational Science & Mathematics Division, Pacific Northwest National Laboratory, Post Office Box 999, Richland, WA, 99352, USA
  • ISSN:1874-8953
文摘
A new uncertainty quantification framework is adopted for carbon sequestration to evaluate the effect of spatial heterogeneity of reservoir permeability on CO2 migration. Sequential Gaussian simulation is used to generate multiple realizations of permeability fields with various spatial statistical attributes. In order to deal with the computational difficulties, the following ideas/approaches are integrated. First, different efficient sampling approaches (probabilistic collocation, quasi-Monte Carlo, and adaptive sampling) are used to reduce the number of forward calculations, explore effectively the parameter space, and quantify the input uncertainty. Second, a scalable numerical simulator, extreme-scale Subsurface Transport Over Multiple Phases, is adopted as the forward modeling simulator for CO2 migration. The framework has the capability to quantify input uncertainty, generate exploratory samples effectively, perform scalable numerical simulations, visualize output uncertainty, and evaluate input-output relationships. The framework is demonstrated with a given CO2 injection scenario in heterogeneous sandstone reservoirs. Results show that geostatistical parameters for permeability have different impacts on CO2 plume radius: the mean parameter has positive effects at the top layers, but affects the bottom layers negatively. The variance generally has a positive effect on the plume radius at all layers, particularly at middle layers, where the transport of CO2 is highly influenced by the subsurface heterogeneity structure. The anisotropy ratio has weak impacts on the plume radius, but affects the shape of the CO2 plume.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700