Page 359 - Petrophysics 2E
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MEASUREMENT OF CAPILLARY PRESSURE              327



                                            100-              1-Injection  Curve
                                                              2-Withdrawal  Curve
                                                              3-Reinjection  Curve



                                             10-
                                           h
                                           E
                                           w'
                                           U
                                           9
                                           u)
                                           fn
                                           w
                                           B  1-
                                                                                Pct
                                                       -

                                              0                     -
                                               0      simax   0:s   Swmin      1.0
                                                    MERCURY  SATURATION, % PV
                            Figure 5.12. Merculy-gas capillarypressure curves showing the initial injection cuwe
                            with its threshold pressure and tbe hysteresis loop. Note that vev high pressures are
                            required  for mercury injection.

                            mercury is re-injected by increasing the pressure incrementally from zero
                            to the maximum pressure at Sima (Figure 5.12, curve 3).
                              The  closed  loop of  the withdrawal and  re-injection curves (2  and
                            3, Figure 5.12)  is the characteristic capillary pressure hysteresis loop.
                            Mercury is a non-wetting fluid therefore, the hysteresis loop exhibits a
                            positive pressure for all saturations-that  is, the hysteresis loop is above
                            the zero pressure line [ 121.
                              In order to transpose mercury injection data to represent water41 or
                            water-air capillary pressure curves, the mercury capillary pressure data
                            are normalized using Leverett's J-function:

                                                                                         (5.20)


                            where:  0~~ = 480 N( 10-3)/m
                                      0 = 140"
                                      k  = darcies


                                pcw-0       -     Pcw-a                PcHg
                                            -
                                  x COS (0")        x COS (0") = (0~~ (140")
                                                                     x
                                                                       COS
                                                                                         (5.21)
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