A Numerical Model of Tracer Transport in a Non-isothermal Two-Phase Flow System for CO2 Geological Storage Characterization

Transport in Porous Media

Volumn 98, Issue 1, 2013, Pages 173-192

  Tong, Fuguo ^a   Niemi, Auli ^a   Yang, Zhibing ^a   Fagerlund, Fritjof ^a   Licha, Tobias ^b   Sauter, Martin ^b  

^a UPPSALA UNIVERSITY   (Sweden)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Finite element method; Numerical model; Tracer transport; Two phase flow

Indexed keywords

CARBON DIOXIDE; FINITE ELEMENT METHOD; GEOCHEMISTRY; ISOTHERMS; KINETICS; MASS TRANSFER; NUMERICAL METHODS; NUMERICAL MODELS; TRACERS; TRANSPORT PROPERTIES;

CHEMICAL EQUILIBRIUMS; CO2 GEOLOGICAL STORAGES; DEEP SALINE FORMATIONS; FINITE DIFFERENCE APPROACH; ROCK WATER INTERACTION; SPATIAL DISCRETIZATIONS; TEMPORAL DISCRETIZATION; TRACER TRANSPORT;

TWO PHASE FLOW;

CARBON DIOXIDE; CARBON SEQUESTRATION; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLOW MODELING; HEAT TRANSFER; MASS TRANSFER; NUMERICAL MODEL; SPATIAL ANALYSIS; TRACER; TWO-DIMENSIONAL FLOW; WATER-ROCK INTERACTION;

EID: 84876042836     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-013-0138-x     Document Type: Article

References (57)

1. Allen, M., Isaacson, E.: Numerical Analysis for Applied Science. Wiley, New York (1997).
2. Aziz, K., Settari, A.: Petroleum Reservoir Simulation, Environmental Engineering. Elsevier, London (1979).
3. Bachmann, J., van der Plog, R.: A review on recent developments in soil water retention theory: interfacial tension and temperature effects. J. Plant Nutr. Soil Sci. 165, 468-478 (2002).
4. 2 in naturally occurring accumulations. In: Fifth International Conference on Greenhouse Gas Control Technologies, August 13-16, 2000, Cairns, Australia, CSIRO, pp. 311-316 (2001).
5. Battistelli, A., Calore, C., Pruess, K.: The simulator TOUGH2/EWASF for modeling geothermal reservoirs with brines and non-condensible gas. Geothermics 26, 437-464 (1997).
6. Bear, J., Bachmat, Y: Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer, Dordrecht (1991).
7. Behrens, H., Ghergut, I., Licha, T., Orzol, J., Sauter, M.: Reactive behaviour of uranine (fluorescein) in a deep geothermal-reservoir tracer test. Geophys. Res. Abstr. 8, 10448 (2006).
8. Brooks R., Corey, A.: Hydraulic properties of porous media. Hydrology Paper No. 3. Colorado State University, Fort Collins, CO (1964).
9. Brusseau, M. I., Peng, S., Schnaar, G., Costanza-Robinson, M. S.: Relationships among air-water interfacial area, capillary pressure, and water saturation for a sandy porous medium. Water Resour. Res. 42, W03501 (2006).
10. Buckley, R. L., Leverett, M. C.: Mechanism of fluid displacement in sands. Am. Inst. Min. Metall. Pet. Eng. 146, 107-116 (1942).
11. Chen, Z. X.: Some invariant solutions to two-phase fluid displacement problems including capillary effect. Soc. Pet. Eng. Reser. Eng. 3(2), 691-700 (1988).
12. Corey, A. T.: The interrelation between gas and oil relative permeabilities. Prod. Mon. 19, 38-41 (1954).
13. Cramer, S. D.: The solubility of methane, carbon dioxide and oxygen in brines from 0° to 300°C. US Bureau of Mines, Report No. 8706, USA, 16pp (1982).
14. Fučīk, R., Mikyška, J., Beneš, M., Illangasekare, T. H.: An improved semi-analytical solution for verification of numerical models of two-phase flow in porous media. Vadose Zone J. 6, 93-104 (2007).
15. Geiger, S., Roberts, S., Matth, S., Zoppou, C., Burri, A.: Combining finite element and finite volume methods for efficient multiphase flow simulations in highly heterogeneous and structurally complex geologic media. Geofluids 4(4), 284-299 (2004).
16. Grant, G. P., Gerhard, J. I.: Simulating of dissolution of a complex dense nonaquesous phase liquid source zone: 1. Model to predict interfacial area. Water Resour. Res. 43, W12410 (2007a).
17. Grant, G. P., Gerhard, J. I.: Simulating of dissolution of a complex dense nonaquesous phase liquid source zone: 2. Experimental validation of an interfacial area-based mass transfer model. Water Resour. Res. 43, W12409 (2007b).
18. Guvanasen, V., Chan, T.: A three-dimensional numerical model for thermohydromechanical deformation with hysteresis in a fractured rock mass. Int. J. Rock Mech. Min. Sci. 37, 89-106 (2000).
19. Helming, R.: Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems. Springer, Berlin (1997).
20. Hepple, R. P., Benson, S. M.: Geologic storage of carbon dioxide as a climate change mitigation strategy: performance requirements and the implications of surface seepage. Environ. Geol. 47(4), 576-585 (2004).
21. Hesse, M. A., Orr, F. M., Tchelepi, H. A.: Gravity currents in horizontal porous layers: transition from early to late self-similarity. J. Fluid Mech. 577, 363-383 (2007).
22. Hoteit, H., Firoozabadi, A.: Numerical modeling of two-phase flow in heterogeneous permeable with different capillarity pressures. Adv. Water Resour. 31, 56-73 (2008).
23. Huppert, H., Woods, A.: Gravity-driven flows in porous layers. J. Fluid Mech. 292, 55-69 (1995).
24. International Association for the Properties of Water and Steam: IAPWS Release on Surface Tension of Ordinary Water Substance, September (1994).
25. Joekar-Niasar, V., Hassanizadeh, S. M., Dahle, H. K.: Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling. J. Fluid Mech. 655, 38-71 (2010).
26. Jury, W. A., Cardner, W. R., Gardner, W. H.: Soil Physics, 5th edn. Wiley, New York (1991).
27. Karl, T. R., Trenberth, K. E.: Modern global climate change. Science 302(5651), 1719-1723 (2003).
28. Kiehl, J. T., Trenberth, K. E.: Earth's annual global mean energy budget. Bull. Am. Meteorol. Soc. 78(2), 197-208 (1997).
29. Li, W. M., Rubin, D., Krempl, E.: Introduction to Continuum Mechanics. Pergamon Press, Oxford (1999).
30. Licha, T., Sauter, M., Schaffer, M., Maier, F., Nottebohm, M., Fagerlund, F.: Report on batch experiment results for interfacial processes. D041/WP04/MUSTANG (2011).
31. McWhorter, D. B., Sunada, D. K.: Exact integral solutions for two-phase flow. Water Resour. Res. 26, 399-413 (1990).
32. Miller, C. T., Pirier-McNeill, M. M., Mayer, A. S.: Dissolution of trapped nonaqueous phase liquids: mass transfer characteristics. Water Resour. Res. 26, 2783-2796 (1990).
33. Mualem, Y.: A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res. 12, 513-522 (1976).
34. 2 injection into a deep geological formation at Heletz, Israel. Energy Proc. 23, 504-511 (2012).
35. Nordbotten, J. M., Celia, M. A.: Similarity solutions for fluid injection into confined aquifers. J. Fluid Mech. 561, 307-327 (2006).
36. 2. Lawrence Berkeley Laboratory Report LBNL-57952, Berkeley, CA (2005).
37. Orr Jr, F. M., Stanford, U.: Storage of carbon dioxide in geologic formations. J. Pet. Technol. 56(9), 90-97 (2004).
38. Pruess, K., Oldenburg, C., Moridis, G.: Tough2 user's guide version. Lawrence Berkeley Laboratory Report LBNL-57952, Berkeley, CA (1999).
39. Pritchett, J. W., Rice, M. H., Riney, T. D.: Equation of state for water-carbon dioxide mixtures: implications for Baca reservoir. Report DOE/ET/27163-8, UC-66a, La Jolla, CA (1981).
40. Schaffer, M., Maier, F., Licha, T., Sauter, M.: A new generation of tracers for the characterization of interfacial areas during supercritical carbon dioxide injections into deep saline aquifers: concept for kinetic interface-sensitive tracers (KIS tracer). Int. J. Greenh. Gas Control. doi: 10. 1016/j. ijggc. 2013. 01. 020.
41. Riaz, A., Tang, G.-Q., Tchelepi, H. A., Kovscek, A. R.: Forced imbibition in natural porous media: Comparison between experiments and continuum models. Phys. Rev. E 75, 011131 (2007).
42. Riaz, A., Tchelepi, H. A.: Influence of relative permeability on the stability characteristics of immiscible flow in porous media. Trans. Porous Media 64, 315-338 (2006).
43. Sterner, S. M., Pitzer, K. S.: An equation of state for carbon dioxide valid from zero to extreme pressures. Contrib. Min. Pet. 117, 362-374 (1994).
44. Tomich, J. F., Dalton, R. L., Deans, H. A., Shallenberger, L. K.: Single-well tracer method to measure residual oil saturation. J. Pet. Technol. 25, 211-218 (1973).
45. Tong, F. G., Jing, L., Zimmerman, R. W.: A fully coupled thermo-hydro-mechanical model for simulating multiphase flow, deformation and heat transfer in buffer material and rock masses. Int. J. Rock Mech. Min. Sci. 47, 205-217 (2010).
46. Tong, F. G., Jing, L., Zimmerman, R. W.: A fully-coupled finite element code for modeling thermo-hydro-mechanical processes in porous geological media. In: Proceedings 43rd US Rock Mechanics Symposium, Asheville, NC, USA, 28-30 June 2009.
47. Tong, F. G., Niem, i A., Yang, Z., Fagerlund, F.: A solution scheme for simulating tracer transport in a non-isothermal two-phase flow system. Geophysical Research Abstract, vol. 14, EGU2012-6743-1, EGU General Assembly 2012, Vienna (2012).
48. van Duijn, C., De Neef, M.: Similarity solution for capillary redistribution of two phases in a porous medium with a single discontinuity. Adv. Water Resour. 21(6), 451-461 (1998).
49. van Genuchten, M. Th: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892-898 (1980).
50. Vargaftik, N. B.: Tables on thermophysical properties of liquid and gases, 2nd edn. Wiley, New York (1975).
51. Xu, B., Yortsos, Y. C., Salin, D.: Invasion percolation with viscous forces. Phys. Rev. E 57(1), 739-751 (1998).
52. Xu, T., Sonnenthal, E., Spycher, N., Pruess, K.: TOUGHREACT user's guide: a simulation program for nonisothermal multiphase reactive geochemical transport in variably saturated geologic media. LBNL Report 55460, V. 1. 2., Berkeley, CA, USA (2004).
53. Yortsos, Y. C., Xu, B. M., Salin, D.: Delineation of microscale regimes of fully-developed drainage and implications for continuum models. Comput. Geosci. 5(3), 257-278 (2001).
54. Yortsos, Y. C., Fokas, A. S.: An analytical solution for linear waterflood including the effects of capillary pressure. Soc. Pet. Eng. J. 23(1), 115-124 (1983).
55. Younes, A., Ackerer, P.: Solving the advection-diffusion equation with the Eulerian-Lagrangian localized adjoint method on unstructured meshes and non uniform time stepping. J. Comput. Phys. 208, 384-402 (2005).
56. Zhang, Y., Freifeld, B., Finsterle, S., Leahy, M., Ennis-King, J., Paterson, L., Dance, T.: Single-well experimental design for studying residual trapping of supercritical carbon dioxide. Int. J. Greenh. Gas Control 5, 88-98 (2011).
57. Zienkiewicz, O. C., Taylor, R. L.: The Finite Element Method, vol. 1, Basic Formulations and Linear Problems, 5th edn. Butterworth-Heinemann, London (2000).