Page 107 - Carbonate Sedimentology and Sequence Stratigraphy
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98                                       WOLFGANG SCHLAGER


         Fractals - an alternative to orders in sequence stratigraphy  parasequences and their type-3 boundaries may be formed
                                                             by fluctuations in sediment supply or by relative changes of
                                                     3
         Work on the sequence record in the domain of 10 to 10 6  sea level. The type-3 sequence boundary was already rec-
       years has gone far enough to formulate an alternative to the  ognized as an important type of unconformity by Vail and
       concept of orders in sequence stratigraphy.           Todd (1981, Fig. 3c) and by Schlager (1999b) who proposed
         Examination of sediment anatomy indicates that many  the name.
       patterns relevant for the sequence model are invariant in  As the terms parasequence and standard sequence had
       a wide range of scales. Moreover, a strong case has been  been defined by both the length of time represented by
       made that the two basic controls of sequences - changes in  the unit and the type of bounding surface, Schlager (2004)
       sea-level and sediment supply - are fractals in the time do-  introduced the terms S sequence and P sequence for se-
       main.                                                 quences defined solely by the nature of their boundaries.
         Based on these observations, I proposed the following  The terms can be avoided and replaced by “standard se-
       conceptual model (Schlager, 2004): The pattern of sequences  quence” and “parasequence” if one defines the two se-
       and systems tracts is scale invariant and a statistical fractal.  quence types strictly by the nature of their boundaries and
       In the arrangement of systems tracts and the nature of se-  disregards the length of time they represent: Parasequences
       quence boundaries two types are about equally likely in the  are sequences bounded by flooding surfaces, standard se-
       validity range of the model (Fig. 6.16, 6.17):        quences are bounded by exposure surfaces. Throughout this
        ➤ Standard sequence, or S sequence , shows the succession:
                                                             book, these definitions will be applied. This usage is com-
           highstand tract - sequence boundary - lowstand tract
                                                             mon (e.g. Nummedal et al. 1993,p. 55; J.F. Sarg, written com-
           - transgressive tract - highstand tract. The sequence
                                                             munication), but not unanimous.
           boundary is a type-1 or type-2 boundary caused by rel-
                                                               Conservative estimates of the validity range of the model
           ative sea-level lowering (forced regression).           3    6                      1    5
                                                             are 10 –10 y in the time domain, 10 –10 m in the hor-
        ➤ Parasequence, or P sequence , shows the succession:                               0    3
                                                             izontal directions of space and 10 –10 minthe vertical.
           highstand tract - sequence boundary - transgressive
                                                             Justification of these ranges is given below.
           tract - highstand tract. The sequence boundary is a
                                                               The time range of the model can be justified as follows.
           type-3 boundary, i.e. a flooding surface that overlies
                                                             The statistics on flooding versus exposure boundaries is
           marine deposits without demonstrable evidence of ter-                              4    5
                                                             based on cycles with durations of 10 –10 y. Physical pro-
           restrial exposure or forced regression.           cesses operate in similar fashion also on much shorter time
         The crucial distinction between the two types is that stan-  scales. However, the formation of recognizable exposure
       dard sequences are bounded by surfaces of forced regression  surfaces depends on soil processes whose rates are consid-
       that require a relative fall in sea level. Parasequences are  erably lower. Accumulation of organic matter, one of the
       bounded by type-3 sequence boundaries, i.e. flooding sur-  fastest soil processes, takes thousands of years to advance
       faces that lack evidence of forced regression. Consequently,
                   Orders of Sequence Cycles                            FRACTAL MODEL OF SEQUENCES
                                                                   Scale-invariant succession of P and S sequences
                                                               HST                             Standard-sequence
                                              1.                                               exposure boundaries
                                                               TST
                                                               LST
                                     2.
                                                               HST


                             3.                                HST                                Para-sequence
                                                                                                flooding boundaries
                                                               TST
                       4.                                      HST


              5.                                               Scale-invariance in time    Scale-invariance in space
                                                                       3
                                                                           6
                                                                                                  3
                                                                                              -1
              6.                                                    10  - 10  yr            10 -10  m
                                                                                                        0
                                                                                                            5
                                                      8
        10 3     10 4     10 5    10 6     10 7     10 yr      soil rates  tectonic setting           10 -10  m
        Fig. 6.15.— Orders of stratigraphic sequences as defined by var-  Fig. 6.16.— Scale-invariant model of stratigraphic sequences.
       ious authors since 1977. In each category, the oldest publication  Standard sequences, i.e. sequences bounded by exposure sur-
       is on top. Differences are about 1/2 order at each boundary, in the  faces, and parasequences bounded by flooding surfaces, are as-
                                                                                                               3
       4 th  -6 th  orders even larger; opinions do not seem to converge with  sumed to occur in about equal proportions in the range of 10 to
                                                               6
       time. After Schlager (2004), modified.                 10 y. After Schlager (2004), modified.
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