A Non-standard Model for Microbial Enhanced Oil Recovery Including the Oil-water Interfacial Area

References

1. Bang, H.W. and Caudle, B.H.
   [1984] Modeling of a micellar/polymer process. SPE J. 24(6), 617–627.
   [Google Scholar]
2. Coats, K.H.
   [1980] An equation of state compositional model. Soc. Pet. Eng. 20, 363–376.
   [Google Scholar]
3. Donaldson, E.C., Chilingarian, G.V. and Yen, T.F.
   [1989] Enhanced Oil Recovery, II: Processes and Operations. Elsevier.
   [Google Scholar]
4. Islam, M.R.
   (1990) Mathematical modeling of microbial enhanced oil recovery, SPE, 20480, 159–168.
   [Google Scholar]
5. Joekar-Niasar, V. and Hassanizadeh, S.M.
   [2012] Uniqueness of specific interfacial area-capillary pressure-saturation relationship under non-equilibrium conditions in two-phase porous media flow. Transp. Porous Media, 94(2), 465–486.
   [Google Scholar]
6. Kim, S.B.
   [2006] Numerical analysis of bacterial transport in saturated porous media. Hydrol. Process., 20, 1177–1186.
   [Google Scholar]
7. Kou, J. and Sun, S.
   [2010] On iterative IMPES formulation for two phase flow with capillarity in heterogeneous porous media. Int. J. Numer. Anal. Model., series B, 1(1), 20–40.
   [Google Scholar]
8. Lake, L.W.
   [1989] Enhanced Oil Recovery. Prentice-Hall Inc, Englewood Cliffs, NJ, USA.
   [Google Scholar]
9. Lazar, I. and Petrisor, I.G. and Yen, T.F.
   [2007] Microbial enhanced oil recovery (MEOR). Petroleum Science and Technology, 25, 1353–1366.
   [Google Scholar]
10. Li, J., Liu, J., Trefry, M.G., Park, J., Liu, K., Haq, B., Johnston, C.D. and Volk, H.
    [2011] Interactions of Microbial-Enhanced Oil Recovery Processes. Transp. Porous Media, 87(1), 77–104.
    [Google Scholar]
11. Li, Y., Abriola, L.M., Phelan, T.J., Ramsburg, C.A. and Pennell, K.D.
    [2007] Experimental and numerical validation of the total trapping number for prediction of DNAPL mobilization. Environ. Sci. Technol. 41(23), 8135–8141.
    [Google Scholar]
12. List, F. and Radu, F.A.
    [2016] A study on iterative methods for solving Richards’ equation. Computational Geosciences, 20(2), 341–353.
    [Google Scholar]
13. Hassanizadeh, S.M. and Gray, W.G.
    [1993] Thermodynamic basis of capillary pressure in porous media. Water Resour. Res., 29, 3389–3405.
    [Google Scholar]
14. Nielsen, S.M., Shapiro, A.A., Michelsen, M.L. and Stenby, E.H.
    [2010] 1D Simulations for Microbial Enhanced Oil Recovery with Metabolite Partitioning. Transp. Porous Med85, 785–802.
    [Google Scholar]
15. Nielsen, S.M., Shapiro, A.A., Stenby, E.H., and Michelsen, M.L.
    [2010]. Microbial Enhanced Oil Recovery - Advanced Reservoir Simulation. Technical University of Denmark (DTU) Kgs.Lyngby, Denmark.
16. Niessner, J. and Hassanizadeh, S.M.
    [2008] A model for two-phase flow in porous media including fluid-fluid interfacial area. Water Resour. Res., 44(8).
    [Google Scholar]
17. Nordbotten, J.M. and Celia, M.A.
    [2011] Geological storage of CO2: modeling approaches for large-scale simulation. John Wiley And Sons.
18. Patel, I., Borgohain, S., Kumar, M., Rangarajan, V., Somasundaran, P., and Sen, R.
    [2015] Recent developments in microbial enhanced oil recovery. Renew. Sust. Ener. Rev., 52, 1539–1558.
    [Google Scholar]
19. Porter, M.L, Wildenschild, D., Grant, G. and Gerhard, J.I.
    [2010] Measurement and prediction of the relationship between capillary pressure, saturation, and interfacial area in a NAPL-water-glass bead system. Water Resour. Res., 46(8).
    [Google Scholar]
20. Radu, F.A., Nordbotten, J.M., Pop, I.S. and Kumar, K.
    [2015] A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. J. Comput. and Appl. Math., 289(1), 134–141.
    [Google Scholar]