Page 362 - Petroleum Geology
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The  formation  of  a  diapir  involves the displacement of  diapiric material
            from  the  mother layer to the diapir under  dynamic forces acting over long
            spans  of  time.  The  flow lines in the mother layer around a well-developed
            diapir are centripetal,  and the material moves down an energy gradient anal-
            ogous to the fluid  potential gradient around a producing oil or water well. If
            the mother layer is horizontal,  the pressure in it adjacent to the diapir is less
            than  that  further  away,  because this is a necessary condition of  horizontal
            flow. The rim syncline, or peripheral  sink, around a diapir is therefore to be
            regarded  as an expression  of  the potential  energy of  the mother layer anal-
            ogous to the  drawdown  of  the  water  table around a producing water well
            (Ramberg,  1981). This sink is terminated on the inside by  the upward drag
            of the diapir. This is clear for a well-developed diapir.
              During stages of incipient diapirism, unequal loading of a potential mother
            layer  (with low equivalent viscosity) creates a disequilibrium that may be re-
            stored by flowage from the more heavily loaded areas to the less heavily loaded
            areas. With mudstone diapirism in mind, this is generally away from the marine
            margin  of  the physiographic  basin.  Locally, however, differences will exist,
            some  of  which  will  be  minor,  others  more  important.  Because subsidence
            may locally increase the capacity to accumulate sediment, a further inequality
            of loading may follow consequentially on initial inequality.
              Diapirism, like many geological processes, is not easily reduced  to simple
            statements of  cause and effect. There is, however, general agreement on the
            main  factors that  contribute  to  diapirism, even if  there is disagreement on
            the relative importance of each. The main factors are: (1) low equivalent vis-
            cosity in the material that contributes to, and forms the diapir; (2) the load
            on the mother layer, and the variations of the load in space and time; (3) the
            bulk density  of  the diapiric material  relative to that of  the overburden; and
            (4) the thickness  of  the mother layer (but perhaps this is only a matter of
            scale).
              None of these factors by itself  necessarily leads to diapirism.  Not all salt
            layers feed diapirs, for example, and there are many density inversions with
            depth  in  the  geological column that do not lead to diapirism.  But physical
            and mathematical  models have been constructed that reproduce the essential
            features  of  diapirs,  both  individually  and  collectively.  In  physical  models
            there are problems  of  scaling, but a wide variety of  materials leads to struc-
            tures that resemble real diapirs and incipient diapirs closely.
              At  the  onset  of  instability,  the  interface  between  the  overburden  and
            mother  layer  becomes  wavy,  and  both types of  models indicate that some
            wave lengths become more strongly  amplified than others (see, for example,
            Biot  and  Od6,  1965). The  more  strongly  amplified  wavelength,  called the
            dominant  wave  length,  is  affected  by  the  viscosity ratio and the thickness
            ratio of  the overburden and mother layer.  Overburdens  of  larger equivalent
            viscosity tend  to be deformed with  a longer dominant wavelength, and the
            rate of  diapiric growth is slower. As the thickness ratio is increased, Biot and
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