Page 234 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
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208                                      Bin Yuan and Rouzbeh G. Moghanloo


          h          The surface-to-surface separation length, m
          y          The ratio between the drag and electrostatic force
          r FP       Radium of fine particles, m
          r p        Pore radius, m
          l          Characteristic wave length of interaction, l 5 100 nm
          n          Pore concentration, number/m 3
          n N        Bulk number density of ions, 6.022 3 10 25  number/m 3
                     Zeta potentials for fine particles, nanoparticles and grain surfaces, mV
          ς FP ; ς NP ; ς GS
          φ          Porosity of sand pack
          ρ          Fluid density, kg/m 3
                     Water fluid density, kg/m 3
          ρ w
                     Nanoparticles fluid density, kg/m 3
          ρ NP
          μ w        Water viscosity, Pa.s
          μ o        Oil viscosity, Pa.s
                     Outer radius of radial flow system, 0.5 m
          r e
                     Permeability of core plug, mD
          k 0
                     The Boltzmann’s constant, 1.381 3 10 221  J/K
          k B
          k rw       Relative permeability of water phase
          k ro       Relative permeability of oil phase
          Δp         Pressure drop, MPa
          p          Flowing pressure at different location of flowing system, MPa
          U          Fluid flowing velocity, m/s
                                                2
          q          Injection rate per formation height, m /s
          n N        Bulk number density of ions, 6.022 3 10 25  number/m 3
          f w        Fractional flow function
          S w        Water saturation, decimal
          S or       Residual oil saturation, decimal
          t cr       The breakthrough time of injected fines
          ϕ          Stream function defined in this chapter
          t D        Dimensionless time or injected pore volume
                     Dimensionless distance
          x D
          REFERENCES
          Abousleiman, Y.N., Tran, M.H., and Hoang, B.O., et al., 2009. Geomechanics field and
             laboratory characterization of woodford shale: the next gas play. Paper SPE-110120-
             MS presented at SPE Annual Technical Conference and Exhibition,11 14 November
             Anaheim, California, USA.
          Achinta, B., Belhaj, H., 2016. Application of nanotechnology by means of nanoparticles
             and nano-dispersions in oil recovery- a comprehensive review. J. Nat. Gas. Sci. Eng.
             34, 1284 1309.
          Adkins, S., Gohil, D., Dickson, J., et al., 2007. Water-in-carbon dioxide emulsions stabi-
             lized with hydrophobic silica particles. Phys. Chem. Chem. Phys. 9, 6333 6343.
          Ahmadi, M., Pourafshari, P., and Ayatollahi, S., 2011. Zeta potential investigation and
             mathematical modeling of nanoparticles deposited on the rock surface to reduce fine
             migration, Paper SPE-142633-MS presented at SPE Middle East Oil and Gas Show
             and Conference,25 28 September, Manama, Bahrain.
          Aksulu, H., Hamso, D., Strand, S., et al., 2012. The evaluation of low salinity enhanced
             oil recovery effects in sandstone: effects of temperature and pH gradient. Energy Fuels
             26, 3497 3503.
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