Page 92 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
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74                                                  Thomas Russell et al.


















          Figure 3.5 Increase of skin factor at the production well due to high-pressure
          gradient, after switching the well on, and due to the arrival of “foreign” water.


          Fig. 3.5 (Bedrikovetsky et al., 2011b). Switching wells on yields the crea-
          tion of large pressure gradients in the vicinity of the wellbore, which
          decrease with time and stabilize during the pressure wave propagation
          into the formation. Equation (3.3) shows that the mobilized particles are
          strained preferentially where the flow velocity is high, i.e., near to the
          wellbore causing maximum damage. It corresponds to steep growth of
          the skin factor. Pressure gradient stabilization leads to a stabilized skin
          factor. The skin remains constant until the appearance of water in the
          produced fluid. This could be either injected or aquifer water. The
          particle detachment due to difference in compositions of formation and
          breakthrough waters causes growing skin simultaneously with increasing
          water-cut (Fig. 3.5). Skin growth during this second stage is substantially
          higher when the injected (foreign) water has a smaller salinity than the
          formation water.
             The rate Eq. (3.3) with mass balance of attached, suspended, and
          strained particles, and modified Darcy’s law accounting for permeability
          damage by strained fines form a closed system of equations. Recently, the
          analytical and numerical solutions of this system of equations have been
          applied to well productivity and injectivity damage for single-phase and
          two-phase flows.
             Single-phase steady-state inflow well performance with fines migration
          after stabilization shows zones of complete fines detachment, partial
          detachment, and nonmobilized fines. It allows determining the size of
          fines mobilization zone (Bedrikovetsky et al., 2012). Steady-state inflow
          with fines migration occurs also during the intermediate production state,
          where the decrease of fines mobilization due to spreading of pressure
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