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59

            We  would expect, therefore, that the state of compaction  at 3250 m under
            these conditions will be comparable to an identical, but normally compacted
            rock at about 768 m. The common occurrence of  drilling breaks at the top
            of abnormal pressures lends support to this approach.
              There is a real geological meaning to be attached to the equilibrium com-
            paction depth, ze. It is an estimate of the maximum thickness of overburden
            at the time compaction  equilibrium was lost in the sedimentary rock now at
            depth z, and this overburden was approximately  the thickness ze on top of
            z. We  shall return to this in Chapter 14 when we consider the time of  genera-
            tion of abnormal pressures.
              These results can now be incorporated  into our various compaction curve
            formulae, eqs. 3.5a, 3.8 and 3.9. These equationsrelate strictly to equilibrium
            compaction depths, ze in the notation now developed, so we write the dimen-
            sionless depth more generally as 6z/b. The formulae so modified to take pore
            pressure into account, with others used with them, are shown in the box on
            p. 63; and the values of the dimensionless depth for the range of  At from 56
            to 165 ps/ft are tabulated in Table 3-3. If the value of At and any two com-
            ponents of dimensionless depth are known, the third can be simply calculated.
            Note also that the effective compaction depth, ze, is a function of the sonic
            transit time, At, and can therefore be estimated directly from the sonic log.
            Practical hints on the construction of  At plots and the use of these formulae
            will be found in Appendix I.
              The  formulae  enable  us  to  estimate  pore-fluid  pressures in  mudstones
            from the sonic  log  through  the parameter  6. Given a plot  of  mudstone  or


            TABLE 3-3

            Values of  dimensionless depth, &/b,  for Atsh.  Read tens in lines and units in columns (e.g.,
            the value of  6zlb for At,h  = 117 p/ft is 0.573)



                0      1      2       3      4      5      6      7      8       9
            -
             5                                             4.700   4.007   3.602   3.314
             6   3.091   2.909   2.755   2.621   2.503   2.398   2.303   2.216   2.136   2.061
             I   1.992   1.928   1.867   1.810   1.756   1.705   1.656   1.609   1.565   1.522
            8   1.482   1.442   1.405   1.368   1.333   1.299   1.266   1.235   1.204   1.174
             9   1.145   1.117   1.090   1.063   1.037   1.012   0.987   0.963   0.939   0.916
            10   0.894   0.872   0.850   0.829   0.809   0.788   0.769   0.749   0.730   0.711
            11   0.693   0.675   0.657   0.640   0.623   0.606   0.590   0.573   0.557   0.542
            12   0.526   0.511   0.496   0.481   0.466   0.452   0.438   0.424   0.410   0.396
            13   0.383   0.370   0.357   0.344   0.331   0.318   0.306   0.294   0.282   0.270
            14   0.258   0.246   0.235   0.223   0.212   0.201   0.190   0.179   0.168   0.157
            15   0.147   0.136   0.126   0.116   0.105   0.095   0.085   0.076   0.066   0.056
            16   0.047   0.03 7   0.028   0.018   0.009   (At,)
   75   76   77   78   79   80   81   82   83   84   85