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EOR mechanisms of wettability alteration and its comparison with IFT  263


















                     Figure 9.35 Interfacial tensions and wetting angles at equilibrium.


                 where the subscripts s, w,and o represent solid phase, water phase, and oil
              phase, respectively. According to Eqs. (9.49) and (9.50), cosq ws ¼ ecos q os .
              So, the oil contact angle q os ¼ p   q ws . For a water-wet rock, the

              water-wetting angle is less than 90 , and the oil-wetting angle is higher

              than 90 .Therefore,we have Conclusion 1:
                 In a water-oil-solid system (a liquid-liquid-solid system), a water-wetting
              angle or an oil-wetting angle on a core can be used to determine the
              wettability.
                 In an air-liquid-solid system, the preceding two equations become

                                              s as   s ws
                                      cosq wsa ¼                         (9.51)
                                                s wa
                                              s as   s os
                                      cosq osa ¼                         (9.52)
                                                s oa
              by replacing o by a and replacing w by a, respectively in those two equations.
              The subscript “a” is added to represent the presence of air. Generally, a rock
              is more liquid-wet than gas-wet. Thus, both cosq wsa and cosq osa are positive.
              From the preceding two equations, we have

                             s as   s ws  s as   s os  s as ðs oa   s wa Þ  s ws s oa þ s wa s os
              cosq wsa  cosq osa ¼             ¼
                               s wa       s oa               s wa s oa

                             s as ðs oa   s wa Þ  s ws ðs oa   s wa Þþ s wa ðs os   s ws Þ
                           ¼
                                               s wa s oa
                             ðs oa   s wa Þðs as   s ws Þþ s wa ðs os   s ws Þ
                           ¼                                  :
                                           s wa s oa
                                                                         (9.53)
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