Page 318 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2
P. 318

Fluid Movement in Waterflooded Reservoirs   285


                        I .o                                                       C





                       0.8





                       0.6





                       0.4



                             I           /
                                       /
                       0.2   -  -      /
                                     /
                                     /
                                  /
                                  /
                             '  /
                             \/
                         0       I     I    I     I    I    I     I    I     I     D
                           0         0.2        0.4        0.6       0.8        I .o

                              FRACTION OF  TOTAL  VOLUME  (h#)
                                 Figure 5-162.  Lorenz coefficient plot [133].


                 (see example in  Table  5-41),  (4)  plot  the  data from  Step 3 on log-probability
                 paper (see Figure 5-163)  (5)  draw the best straight line through data (with less
                 emphasis on points at the extremities, if necessary), (6) determine the permeability
                 at 84.1% probability (kM,l) and the mean permeability at 50% probability (kJ,
                 and (7) compute the permeability variation, V:


                                                                               (5-222)


                 As  with  the  Lorenz coefficient,  the  possible  values  of  the  Dykstra-Parsons
                 permeability variation range from zero for a uniform reservoir to  a maximum
                 value  of  1. In some cases, there may  be  a direct relation between the  Lorenz
                 and Dykstra-Parsons coefficients [295],  but in many instances a direct relation-
                 ship with field data will  not be observed. Often, insufficient data are available
                 to provide enough samples for adequate analysis, and in some cases, the  data
                 may  not provide  a log-normal distribution. In  the  remainder  of  this  chapter,
   313   314   315   316   317   318   319   320   321   322   323