A stochastic approach to optimum decomposition of cyclic patterns in sedimentary processes |
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| Authors: | Guocheng Pan |
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| Institution: | (1) Department of Mining and Geological Engineering, University of Arizona, 85721 Tucson, Arizona, USA |
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| Abstract: | This paper examines the issues of sedimentary cycles by means of reversible Markov chains. Two types of cyclic patterns in sedimentary processes are considered in terms of symmetric cycles (ABCDCBA) and asymmetric cycles (ABCDABCD). By introducing concepts of reversibility and unidirectionality, a general solution is given for decomposing all possible cyclic patterns of these two types existing in a sedimentary sequence. On the basis of two new measures fR and fU, the most probable trends in a sequence can be identified in an optimum way. Effective and reliable use of the technique proposed here is demonstrated by a case study. |
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| Keywords: | Markov chain reversible process unidirectional process cyclic pattern sedimentary sequence |
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