Page 80 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
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62                                            David A. Wood and Bin Yuan


          β s         Formation damage coefficient for straining
                                                 2
          q           Injection rate per formation height, m /s
          T           Absolute temperature of reservoir, K
          p           The flowing pressure at different locations, Pa
          Δp          Pressure drop, MPa
                      Pressure drop along different layers 1 and 2, MPa
          Δp 1;2
                      Total flow mobility (both water- and oil-phase)
          λ t
                      Total flow mobility within different layers 1 and 2
          λ t1;2
          r           Radial location of flowing system, m
                      Pore radius, m
          r p
                      Outer radius of radial flowing system, m
          r e
                      Radius of nanoparticles, m
          r NP
                      Oil saturation
          S or
                      Capillary number
          N ca
          θ           Contact angle at the crude oil-formation water-porous rock interface
          σ           Interfacial tension (IFT) between oil and water
                      Interfacial tension (IFT) between oil and formation water
          σ ow
                      Interfacial energy between oil and porous rock matrix
          σ om
                      Interfacial energy between formation water and porous rock matrix
          σ wm
          σ cr;initial 0; S wc Þ Critical retention concentration of fines at initial condition with connate
               ð
                                       3
                      water saturation Swc, m /m 3
          σ a         Maximum retention concentration of particles at specific flow and salinity
                      conditions
          σ cr        Maximum volumetric concentration of captured particles
                                                             3
          σ cr        Maximum retention concentration of fine particles, m /m 3
                                                  3
          σ s         Strained fine particles concentration, m /m 3
          Δσ          Concentration of fine particles released
          xf D        Locations of water-saturation front
          t D         Dimensionless time or injected pore volume
          γ           Salt concentration; γ i is formation fluid salinity; γ o injected fluid salinity
          v           interstitial velocity of the displacing fluid
          U           Darcy velocity
                      Dimensionless distance
          x D
          REFERENCES
          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.
          Al-adasani, A., Bai, B., 2012. Investigating low-salinity water flooding recovery mecha-
             nism(s) in carbonate reservoirs. In: Proceedings of the 2012 SPE EOR Conference at
             Oil and Gas West Asia, Muscat, Oman, 16 18 April, SPE155560.
          Al-adasani, A., Bai, B., Wu, Y.-S., Salehi, S., 2014. Studying low-salinity waterflooding
             recovery effects in sandstone reservoirs. J. Pet. Sci. Eng. 120, 39 51.
          Alagic, E., Skauge, A., 2010. Combined Low Salinity Brine Injection and Surfactant
             Flooding in Mixed 2 Wet Sandstone Cores. Energy Fuels 2010. Available from:
             https://doi.org/10.1021/ef1000908.
          Al Shalabi, E.W., Sepehrnoori, K., Delshad, M., 2013. Mechanisms behind low salinity
             water flooding in carbonate reservoirs. SPE-165339-MS. SPE Western Regional &
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