关键词: 储层建模, Markov链模型, 岩相图像, 转移记数矩阵, 转移概率矩阵, Walther相序定律

Abstract: The Markov chain model is gradually applied to get 2D or 3D lithofacies images of reservoir in the domain of stochastic reservoir modeling in recent years. It is necessary to extend 1D Markov chain model into 2D or 3D model and give the effective solutions for estimating the transition probability matrix and initializing border status. The 1D, 2D and 3D Markov chain models were discussed on the basis of foregoing studies. A way for estimating transition probability matrix from tally matrix by the use of Walther's law was proposed. The methods for initializing border status were investigated, and a simulation algorithm for 2D Markov chain model was outlined. A calculation case indicates that the solution scheme mentioned above is effective.

Key words: reservoir modeling, Markov chain model, lithofacies image, tally matrix, transition probability matrix, Walther's law