Page 43 - Petrology of Sedimentary Rocks
P. 43

The   times   and   depths   of   withdrawals   for
                                                 particles   of  any  size  are  given   by:

                                                                     Depth   in  cm.
                                                           T   .=
                                                                        l  A   l  d*  (mm)
                                                            m’n    I500
                                                 in  which   T  is  the  time   in  minutes,   d*is   the
                                                 square   of  the  particle   diameter   in  mm,   and
                                                 A  is  a  constant   which   depends   upon  viscosity
                                                 of  the   water   (a  function   of   temperature),
                                                 the   force   of  gravitation,   and  the  density   of
                                                 the  particles.   The  table   giving   values   of  A
                                                 for   various   temperatures   and  particle   densi-
                                                 ties  is  given   below.

                                                                    A  values

                                                                 DENSITY

                                                               Clays,              Amphi-
                                                      Temp.    Quartz               boles

                                                        OC       2.65       3.00     3.35

                                                         I6      3.23       3.92     4.60
                                                        20       3.57       4.33     5.08
                                                        24       3.93       4.76     5.60
                                                        28       4.30       5.21     6.21
                                                        32       4.68       5.67     6.60

                                                       For   quartz   or  clay   minerals   at  24”C,
                                                 these   times   work   out  as  follows:


                                                  Depth     @     Mm     Tirnes   of
                                                    cm                   withdrawal

                                                     20   4.0    .0625   20  seconds
                                                     20   4.5    .044     I m45s    rest  ir
                                                                          I m4~
                                                     IO   5.0    .03  I
                                                     IO   5.5    .022  I   3m28s    These
                                                     IO   6.0    .O I56   6m58s     times
                                                     IO   7.0    .0078   28m        counted
                                                     IO   8.0    .0039    lh5lm     from
                                                     IO   9.0    .0020   7h24m     t  the
                                                     5   10.0    .00098   I4h50m    restirring
                                                     5   II.0    .00049   59h20m   I
                                                     5   12.0    .00024   237h20m
                                                     5   13.0    .OOO I2   949h


                                                 (If  you  use  Waddell’s   sedimentation   formula,
                                                 multiply   all  the  “A”   values   by  0.64  and  use
                                                 this  instead).








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