Documenting the reliability and utility of the γ method as applied to cyclic sections using forward modeling

Mathematics – Logic

Scientific paper

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Scientific paper

The problem of determining if cyclic sections which are older than 5 m.y. in age were deposited in response to orbital control is discussed. Gamma analysis, a method which uses the assumption that effective accumulation rates are facies dependent to minimize differences in cycle duration, is presented as a possible solution to this problem. While the assumptions of γ analysis are generally not met by geologic data, the effective accumulation rates estimated may be instrumental in recovering a spectrum which reveals orbital control. We address the problem of assessing the reliability of γ results by performing analyses on three cyclic time series generated by a forward model. Our results show that exact accumulation rates are not likely to be obtained by the method. However, the accumulation rates obtained markedly improve the time scale, resulting in a spectrum from which one could distinguish orbital forcing, if present. Only when spectra of cyclic data show predicted orbital peaks can γ analysis be considered to yield effective accumulation rates which are more nearly like the true effective accumulation rates than the assumption of a single effective accumulation rate for all facies.

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