Page 346 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2
P. 346

Estimation of  Waterflood Residual Oil  Saturation   313


                  Relations other than Equation 5-253 are required for carbonates and shaly sands
                  [346,347].
                    Resistivity measurements cannot be  made  in cased holes. This may  explain
                  the limited documentation of  such methods for residual  oil determination in
                  the literature.
                  Pulsed-Neutron-Capture.  The device used for this  measurement periodically
                  emits brief bursts of  high energy neutrons. Between bursts these neutrons are
                  rapidly reduced in energy and then more slowly absorbed by  formation nuclei.
                  It is the rate  of  this relatively slow absorption that is  measured.
                    Upon neutron absorption most formation nuclei are left in high energy states
                  that decay to ground states through the emission of  a characteristic set of gamma
                  rays. That  is,  the  gamma rays  emitted have  various  energies and  numbers at
                  these energies that are unique to the capturing nucleus. However, carbon does
                  not participate in this process.
                    The  gamma  rays  emitted  above a  fixed  energy  (the fixed  energy used  in
                  commercial tools varies from 50 kev  to 200 kev) are detected and counted as a
                  function of  time. The analysis of  this counting rate yields the apparent thermal
                  decay time or equivalently the apparent capture cross-section of  the formation.
                  The  apparent  cross-section can  be  corrected  to  true  formation  cross-section
                  through computation. Certain modes of operation [348] can yield results requir-
                  ing little or no correction.
                    The formation capture cross-section z, is related to the cross-sections of  the
                  constituents of  the  fluid-saturated rock  (see Equation  5-1 18) by  the  formula
                  [348,349]:
                                                                                (5-254)

                  where E,,   is the capture cross-section of  the rock (including clay or shale), Q is
                  the porosity, Ew is the cross-section for the water, &, is  the cross-section of  the
                  hydrocarbons, and S,  is the water saturation. Thus (1 - Sw)g is  the oil volume
                  per unit volume of  formation.
                    Of  course, the  desire is  to  determine the  residual oil saturation (1 -Sw)  or
                  the residual oil per unit volume, Q(1 - Sw). Because many of  the quantities on
                  the right hand  side of  Equation 5-254 may  be  unknown, one employs the  so-
                  called log-inject-log technique [350-3531.
                    If  the porosity is known in addition to zw, then the simplest form of  the log-
                  inject-log technique can be used. Here two  successive logs are run. In the first,
                  the normal formation water of cross-section  Ew occupies the pores. The section
                  of  interest is  then  flushed  (at low  injection rate) with  water  of  cross-section
                  EL as  different from Ew as  possible. Et and C: for  these  two  conditions are
                  measured. Then from Equation 5-254 it follows  that Sm = 1 - S,  is


                                                                                (5-255)


                  To obtain accurate values of Zt and XL one should use a very low logging speed,
                  or stationary measurements, or repeat passes that can be averaged.
                    If  porosity  is  not  known, the  water  flush  can be  followed by  a  flush with
                  chlorinated oil [352].  Here the chlorination is adjusted so  that the oil has cross-
                  section E:.  Then from the viewpoint of  the PNC  response, it is just  as  if  we
                  had Sw =  100%. Then Equation 5-254 yields
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