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Non-stationary multiple-point geostatistics algorithm base on local anisotropy |
YU Si-Yu1, LI Shao-Hua1, DUAN Tai-Zhong2, WANG Ming-Chuan2 |
1.College of Geosciences,Yangtze University,Wuhan 430100,China; 2.Petroleum Exploration and Production Research Institute,Sinopec,Beijing 100083,China |
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Abstract Classical multiple-point geostatistics based on stationary assumption has shortcomings in non-stationary modeling application.This paper proposes a new non-stationary simulation based on segmentation by using anisotropy.The new method uses rose diagram consisting of different directions' variogram range to quantify characterization of train image's local anisotropy.In combination with multidimensional scaling and K-means,the proposed method can automatically segment non-stationary train image into several sub-regions which are independent of each other.In the sub-region,classical MPS algorithms are used to simulate sub-regions' geological model which eventually form a whole non-stationary realization.Using fracture network modeling as an example,the proposed method simulated and reproduced non-stationary train image perfectly.The results obtained by the authors provide reference for non-stationary modeling of multiple-point geostatistics.
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Received: 25 July 2016
Published: 10 April 2017
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