Page 226 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
P. 226

200                                      Bin Yuan and Rouzbeh G. Moghanloo


             In view of the variation of released fines concentration depending on
          formation fluid velocities at different reservoir locations, it is necessary to
          optimize the radius of nanofluid pretreatment to maximize the efficiency
          of the nanoparticles treatment. Yuan (2017a) and Yuan and Moghanloo
          (2018c) presented the comparison between the case with 0.01 nanofluid
          pretreatment radius (Fig, 4.11B) and the reference case without nanofluid
          utilization (Fig. 4.11A).
             In Fig. 4.12, the time-distance diagrams of three different cases are
          presented, including waterflooding without fines migration effects, water-
          flooding with fines migration effects, and waterflooding with nanofluids
          to control fines migration in the near-wellbore region. The time-distance
          diagram for the waterflooding case without fines migration is presented in
          Fig. 4.12A. The profiles of water saturation in an asymmetric system at
          different moments in time can be achieved by finding the intersection
          points of different horizontal lines (t D 5 const.) with the characteristic lines.
             In Fig. 4.12B, the end points of series of characteristic lines (propaga-
          tion path of water saturation wave) reflect the front-saturation along with
          the waterflooding front shock. The values of front-saturation keep chang-
          ing at different locations, which is attributed to the dependency of fines
          migration on the changing flowing velocities at different reservoir loca-
          tions in a radial flow system. The line connecting those points represents
          the trajectory of the classical Buckley-Leverett waterflooding front. The
          dashed line (gray) in Fig. 4.12B indicates the trajectory of the erosion
          front (upstream, no fines attachment occurs; and downstream, fines
          attachment occurs). The trajectory of the erosion front becomes a vertical
          line, which indicates the erosion front is stationary at location of 0.1. In
          other words, the propagation of the erosion front does not affect the
          movement of water saturation waves.
             Fig. 4.12C demonstrates the trajectories of the water-saturation waves,
          and the movements of both erosion front and saturation-shock, for the
          case with nanofluid treatment to control fines migration. In contrast to
          Fig. 4.12B, the trajectory of the erosion front passes through the set of
          saturation waves. In other words, the erosion front is not always ahead of
          the water saturation waves, which can affect the propagation of water-
          saturation waves.
             Fig. 4.13 summarizes the evolution of the water saturation profiles in
          the radial flow system at different times for the above three different cases.
          First, the effects of fines migration (fines attachment, fines straining, and
          fines suspension) can slow down the movement of injected water. The
   221   222   223   224   225   226   227   228   229   230   231