Page 253 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
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224                                                       Xingru Wu




               5.3 PROCESSES OF SCALE FORMATION

               Scale forming and deposition is a complex crystallization and
          kinetic process. When conditions change or multiple streams of different
          waters mix, some compounds that have low solubility in the new condi-
          tions would form. When concentrations of these compounds exceed their
          solubility, they could precipitate as solids. Three conditions must be
          reached simultaneously for these compounds to precipitate: (1) supersatu-
          ration, (2) nucleation; (3) adequate contact time for crystal growth. The
          supersaturation state is thermodynamically determined, although the
          nucleation and crystal growth are affected by kinetic factors.


          5.3.1 Solubility and supersaturation
          A solution is saturated if the dissolved compounds reach their equilibrium
          with their solute. As the name suggests, supersaturation occurs when a
          solution contains higher concentrations of dissolved compounds than the
          equilibrium concentration of solute. Supersaturation can occur for a
          number of reasons such as changes in pressure, temperature, pH values, or
          mixing of incompatible waters.
             When the concentration of a mineral exceeds the equilibrium con-
          centration, precipitation starts to take place. Scaling tendency is used as a
          measure of the thermodynamic driving force for the scale formation. The
          scaling tendency is measured by the scaling index or the saturation ratio
          (Oddo and Tomson, 1994, Langelier, 1936) that is defined as the ratio of
          the ion activity product to the solubility product as follows:


                                       activity product
                              SI   log                                 (5.1)
                                             K eq
             If SI , 0, the solution is undersaturated, which means that the solu-
          tion can dissolve more solute. If SI 5 0, the saturation is at equlirbium;
          and when SI . 0, it indicates the solution is supersaturated (or oversatu-
          rated). In the literature, there are many simplified and empirical correla-
          tions to estimate the scale index (Frenier and Ziauddin, 2008).
             For example, calcite formation is based on the following reaction:


                                Ca 21     22
                                     1 CO -CaCO 3
                                          3
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