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Effect of Gas Wettability on Capillaries CHAPTER 5                   165






                                               Air           Air
                                               r

                                               P C           P
                                                    σ Solid-gas  P C  2
                                       σ Water-gas  θ
                                                   σ Solid-water  P 1

                                              Water         Water






                                  Direction of water-displacing-gas   Direction of water-displacing-gas
              FIGURE 5.1
              Front shape and capillary force of water-displacing-gas in capillaries.


              5.1.1.1.2   Water Displacement Experiment in Straight Capillaries
              of Different Gas Wettability
              Under quasistatic conditions (speed of water-displacing-gas is 0.3 mL/h) in
              the water-displacing-gas experiment of capillaries of different gas wettability,
              the water-displacing-gas front shows various bending shapes with different
              capillary forces. Fig. 5.1 indicates the process of water-displacing-gas in
              nongas-wetting capillaries under quasistatic conditions.

              From Fig. 5.1, it can be seen that:
                                                                             (5.1)
              P c 5 P 2   P 1 5 2ðσ solid-gas   σ solid-water Þ=r 5 2σ water-gas cosθ=r
              In formula (5.1), P c —Capillary force;
                P 1 and P 2 —Pressure in the front and behind the gas/water interface of
                water displacement front, respectively;
                σ solid-gas —Tension of solid/gas interface;
                σ solid-water —Tension of solid/water interface;
                σ water-gas —Surface tension of water;
                r—Capillary radius;
                θ—Advancing angle of water displacement front.

              The water-displacing-gas process under quasistatic conditions is the process of
              solid/water interface displacing solid/gas interface. When σ solid-gas . σ solid-water ,
              solid/water interface displacing solid/gas interface is a spontaneous process of
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