A Multi-Point Geostatistical Modeling Method Based on 2D Training Image Partition Simulation

Yifei Zhao, Jianhong Chen (), Shan Yang, Kang He, Hideki Shimada and Takashi Sasaoka
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Yifei Zhao: School of Resource and Safety Engineering, Central South University, Changsha 410083, China
Jianhong Chen: School of Resource and Safety Engineering, Central South University, Changsha 410083, China
Shan Yang: School of Resource and Safety Engineering, Central South University, Changsha 410083, China
Kang He: Key Laboratory of Geological Survey and Evaluation of Ministry of Education, China University of Geosciences (Wuhan), Wuhan 430078, China
Hideki Shimada: Department of Earth Resources Engineering, Faculty of Engineering, Kyushu University, Fukuoka 819-0382, Japan
Takashi Sasaoka: Department of Earth Resources Engineering, Faculty of Engineering, Kyushu University, Fukuoka 819-0382, Japan

Mathematics, 2023, vol. 11, issue 24, 1-17

Abstract: In this paper, a multi-point geostatistical (MPS) method based on variational function partition simulation is proposed to solve the key problem of MPS 3D modeling using 2D training images. The new method uses the FILTERSIM algorithm framework, and the variational function is used to construct simulation partitions and training image sequences, and only a small number of training images close to the unknown nodes are used in the partition simulation to participate in the MPS simulation. To enhance the reliability, a new covariance filter is also designed to capture the diverse features of the training patterns and allow the filter to downsize the training patterns from any direction; in addition, an information entropy method is used to reconstruct the whole 3D space by selecting the global optimal solution from several locally similar training patterns. The stability and applicability of the new method in complex geological modeling are demonstrated by analyzing the parameter sensitivity and algorithm performance. A geological model of a uranium deposit is simulated to test the pumping of five reserved drill holes, and the results show that the accuracy of the simulation results of the new method is improved by 11.36% compared with the traditional MPS method.

Keywords: multi-point geostatistics; training image; variogram; FILTERSIM; information entropy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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