Page 51 - Carbonate Sedimentology and Sequence Stratigraphy
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42                                       WOLFGANG SCHLAGER


       A                                                    C
            G b =C-(D-F)  F= sum of frictional losses  G a =C-D  C = construction  growth potential
                                                D = destruction
                b                            a
                               x                G = reef growth
                                                                rate of rise  increased subsidence



                                                                distance from hinge line
       B  lagoon     reefs
                                                               position of hinge line
                                            sealevel rise


           beach ridges & dunes  lagoon                                          differential subsidence (tilt)
                                                reef




        Fig. 3.5.— Carbonate platforms backstep when faced with relative sea-level rise that slightly exceeds their growth potential. This figure
       shows reasons why backstepping may be advantageous for a platform under stress. A) Destruction of the margin by waves is less in the
       backstepped position because waves have lost energy by bottom friction. B) Backstepping to higher ground. C) Backstepping to area of
       lower subsidence (on passive margin).

       Platform rim. The geometric effect of rim-building is best il-  the zone of wave action is the presence of a flat top. De-
       lustrated by direct comparison of rimmed platforms and  gree of continuity of the rim may be expressed as the rim
       siliciclastic shelves that lack constructional rims (Fig. 3.1). index, defined as the fraction of the platform perimeter that
       The rim is more productive than the adjacent lagoon or up-  is occupied by reef or sand shoal (Fig. 3.6). The rim index
       per slope. Excess sediment is shed into the lagoon and down  is highly variable and should be quantitatively estimated
       the slope. The geometric expression of the high production  wherever possible, for instance via seismic data, maps or
       and the export of vast quantities of sediment is the common  large outcrops. Quantification of rim continuity provides an
       pattern of bi-directional progradation away from the rim:  estimate of the fraction of oceanic wave energy that enters
       progradation of the backreef apron into the lagoon and si-  the lagoon. In first approximation, the fraction of wave en-
       multaneous seaward progradation of the rim and the slope.  ergy that passes through a leaky rim is the inverse of the rim
         The degree of wave resistance of the rim varied in time  index.
       and space. During most of the Phanerozoic, shoal-water
       carbonate systems were able to build rims in the zone of
       perennial wave action. Currently, some reef communities
                                                               Rim Index = (R1+R2+R3)/L
       can build into the intertidal zone even in settings that face
       the full power of oceanic waves in the trade-wind belt. The
       system can build into the supratidal zone by forming “is-
       lands” of storm ridges that may contain freshwater lenses                                 Platform margin
                                                                                  Land
       and be capped by terrestrial (carbonate) eolianites.
         The platform rim need not be a reef. Carbonate sand                                       R3
       shoals can also form wave-resistant barriers at the platform                   Platform
       margin. They may consist of oolites, precipitated locally in
       the mixing zone of normal marine and platform waters, or                          R2
       of skeletal debris from the outer, winnowed parts of the plat-
       form. Either type can build into the supratidal zone and is       R1                L
       prone to early lithification in the submarine or the suprati-
       dal environment. This early lithification greatly enhances                                Open Sea
       the wave resistance of the shoal and reduces the rate of lat-
       eral migration to almost zero. Consequently, the hydrody-
       namic effect of these shoals is similar to that of reefs and reef
       aprons, both are wave-resistant, stationary structures near  Fig. 3.6.— Rim index is the fraction of the platform margin occu-
       the platform margin.                                  pied by reefs or shallow sand bars. Sketch depicts land-attached
         The efficiency of reefs and shoals as barriers against wave  platform with leaky rim of reefs (R1 etc.) shown in black. Fraction
       energy depends on the elevation of the crest and the con-  of wave energy passing the leaky rim is the inverse of the rim index.
       tinuity of the rim. A geometric criterion for elevation into
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