A solution for the transition zone isosats in two-phase primary drainage in the presence of gravity

Computational Geosciences

Volumn 17, Issue 5, 2013, Pages 757-771

  Malekzadeh, Farshad A ^a   Dusseault, Maurice B ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Analytical solution; CO2 sequestration capillary fringe; Hyperbolic equation; Isosat; Primary drainage; Transition zone

Indexed keywords

CAPILLARY PRESSURE; CARBON SEQUESTRATION; DRAINAGE; FINITE ELEMENT METHOD; GRAVITY; NUMERICAL MODEL; PERMEABILITY; SHOCK WAVE; TRANSITION ZONE; TWO PHASE FLOW;

EID: 84884596010     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-013-9354-2     Document Type: Article

References (33)

1. 2 emissions from soil in response to global warming. Nature. 351, 304-306 (1991).
2. 2 injection and sequestration in depleted oil and gas fields and deep coal seams: worldwide potential and costs. Environ. Geosci. 8(3), 200-209 (2008).
3. Whitaker, S.: Flow in porous media II: the governing equations for immiscible, two-phase flow. Transp. Porous Media. 1(2), 105-125 (1986).
4. Chen, Z.: Some invariant solutions to two-phase fluid displacement problems including capillary effect. SPE Reserv. Eng. 3(2), 691-700 (1988).
5. Doughty, C., Karsten, P.: A similarity solution for two-phase water, air, and heat flow near a linear heat source in a porous medium. J. Geophys. Res. 97(B2), 1821-1838 (1992).
6. Pascal, H.: Similarity solutions to some two-phase flows through porous media. Int. J. Non-Lin. Mech. 27(4), 565-573 (1992).
7. Nordbotten, J. M., Celia, M. A.: Similarity solutions for fluid injection into confined aquifers. J. Fluid Mech. 561, 307-327 (2006).
8. Barenblatt, I. G., Entov, V. M., Ryzhik, V. M.: Theory of fluid flow in natural rock. Springer, Boston (1990).
9. Holden, L.: On the strict hyperbolicity of the Buckley-Leverett equation for three phase flow in porous media. SIAM J. Appl. Math. 50(3), 667-682 (1990).
10. Juanes, R., Patzek, T.: Analytical solution to the Riemann problem of three-phase flow in porous media. Transp. Prous Media. 55(4), 47-70 (2004).
11. Smoller, J.: Shock waves and reaction-diffusion equations. Springer-Verlag, New York (1983).
12. Dafermos, C. M.: Hyperbolic conservation laws in continuum physics. Springer, Berlin (2000).
13. 2 sequestration. Adv. Water Resour. 30(11), 2339-2353 (2007).
14. Yortsos, Y. C.: A theoretical analysis of vertical flow equilibrium. Transp. Porous Media. 18(2), 107-129 (1995).
15. 2 sequestration. Comput. Geosci. 13(4), 469-481 (2009).
16. 2 in deep saline aquifers. Transp. Porous Media. 58, 339-360 (2005).
17. 2 plume during carbon dioxide storage in saline aquifers: storage efficiency for capillary trapping at the basin scale. Trans. Porous Media. 82(1), 19-30 (2009).
18. 2 storage. Water Resour. Res. 47(W02537), 11 (2009).
19. Golding, M. J., Neufeld, J. A., Hesse, M. A.: Two-phase gravity currents in porous media. J. Fluid Mech. 678, 248-270 (2011).
20. Buckley, S. E., Leverett, M. C.: Mechanism of fluid displacement in sands. Trans. AIME, 1942.
21. Blunt, M., King, P.: Relative permeabilities from two- and three-dimensional pore-scale network modeling. Transp. Porous Media. 6(4), 407-433 (2004).
22. 2 sequestration. SPE J. 791-804 (2010).
23. 4. Transp. Porous Media. 94(3), 795-815 (2012).
24. Malekzadeh, F. A., Pak, A.: A discretized analytical solution for fully coupled non-linear simulation of heat and mass transfer in poroelastic unsaturated media. Int. J. Anal. Num. Methods Geomech. 33(18), 1589-1611 (2009).
25. Brooks, A. N., Hughes, J. R. T.: Streamline upwindin/Petrov-Galerkin formulations for convection dominated flows with particular emohasis on the incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Eng. 32, 199-259 (1982).
26. Yin, S., Dusseault, M. B., Rothenburg, L.: Thermal reservoir modeling in petroleum geomechanics. Int. J. Anal. Num. Methods Geomech. 33(4), 449-485 (2009).
27. Settari, T., Aziz, K.: Petroleum reservoir simulation. Applied Science, London (1979).
28. Chen, Z., Haun, G.: Computational methods for multiphase flows in porous media. SIAM, London (2006).
29. Brooks, R. H., Corey, A. T.: Properties of porous media affecting fluid flow. J. Irrig. Drain. Div. 92(IR2), 61-88 (1966).
30. Huppert, H. E., Woods, A. W.: Gravity-driven flows in porous layers. J. Fluid Mech. 292, 55-69 (1995).
31. Lake, L. W.: Recovery, enhanced oil. Prentice Hall Inc., New Jersey (1989).
32. 2 system: application to the far field of a US Gulf Coast reservoir. Int. J. Greenh. Gas Control. 10, 88-99 (2012).
33. 2 into closed and open brine aquifers. Water Resour. Res. 47(12) (2011).