Markovian models in stratigraphic analysis |
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| Authors: | Michael F Dacey and W C Krumbein |
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| Institution: | (1) Northwestern University, USA |
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| Abstract: | A stratigraphic section may be divided into lithologic units which in turn may be divided into beds. This paper gives a mathematical
formulation of stratigraphic sections that takes these two levels into account and uses bed properties to yield the thickness
and number of beds in lithologic units. The model is a semiMarkov chain in which the succession of lithologic bed types forms
a Markov chain and is an independent random variable. The model is tested against stratigraphic data obtained from micrologs.
There is close agreement between the observed and calculated thicknesses of lithologic units. Tests for the degree of agreement
between observed and calculated numbers of beds in lithologic units are hampered by inability to observe thin beds on micrologs.
Some implications of this limitation to stratigraphic analysis are noted. |
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