Models of bed formation |
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| Authors: | Michael F Dacey |
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| Institution: | 1. Department of Geological Sciences, Northwestern University, 60201, Evanston, Illinois, USA
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| Abstract: | The model for bed formation by Kolmogorov consists of an unending sequence of alternating periods of deposition and erosion of sediments, with the amounts of deposition and erosion being independent random variables. This paper examines this model in relation to recent mathematical studies that are relevant to, and simplify, the analysis of the thickness of the bed that remains after the sequence is operated for a long time. This thickness obeys the exponential probability law when the amounts of deposition and erosion also obey the exponential law distributed. For the discrete version formulated by Schwarzacher, the thickness obeys the geometric probability law when the amounts of deposition and erosion obey the geometric law. |
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