Df. Merriam et Je. Robinson, HARMONIC-ANALYSIS OF SEDIMENTARY CYCLIC SEQUENCES IN KANSAS, MIDCONTINENT, USA, Mathematical geology, 29(8), 1997, pp. 953-962
Several stratigraphic sequences in the Upper Carboniferous (Pennsylvan
ian) in Kansas (Midcontinent, USA) were analyzed quantitatively for pe
riodic repetitions. The sequences were coded by lithologic type into s
trings of datasets. The strings then were analyzed by an adaptation of
a one-dimensional Fourier transform analysis and examined for evidenc
e of periodicity. The method was tested using different states in codi
ng to determine the robustness of the method and data. The most persis
tent response is in multiples of 8-10 ft (2.5-3. 0 m) and probably is
dependent on the depositional thickness of the original lithologic uni
ts. Other cyclicities occurred in multiples of the basic frequency of
8-10 with persistent ones at 22 and 30 feet (6.5-9.0 m) and large ones
at 80 and 160 feet (25-50 m). These levels of thickness relate well t
o the basic cyclothem and megacyclothem as measured on outcrop. We pro
pose that this approach is a suitable one for analyzing cyclic events
in the stratigraphic record.