环流分解及其在沉积地层旋回分析中的应用

CIRCULATION DECOMPOSITION AND THE APPLICATION TO CYCLIC ANALYSIS FOR A STRATIGRAPHIC SEQUENCE

本文应用马尔柯夫链进行地层序列分析。当一个地层序列形成一个具有马尔柯夫性质和极限概率分布的马尔柯夫链时,它的转移概率矩阵可分解为细致平衡部分和环流部分。根据环流矩阵可确定该序列中的主要沉积旋回趋势,为地层序列分析提供重要依据。本文给出了两个研究实例。

The study of sedimentary cycles at analyzing stratigraphic sequence is important. Because geological factors of sedimentary process are very complex, and the cyclic types are various in the sequence The paper deals with determination of cyclic types of sedimentary sequence by mains of method of circulation decomposition.The transitional probabilities matrix (P) of a stratigraphic sequence, which is a Markov Chain with Markov property and limit probability, can be decomposed into a detailed balanced part and a circulation part, as follows:orFurthermore, according to the circulation matrix (R) the main sedimentary cyclic trend in the sequence can be determined. So that, an important basis is provided for further analysis of stratigraphic sequence.Two case studies are given in this paper. In the first section, Maluping section, the main cyclic types are of the following patterns:In the second section, Dayukou section, it was determine that the patterns of the main cyclic types are as follows:The results of this study have shown the obvious effect of this method applied to cyclic analysis of stratigraphic sequence.