Pore-scale modeling is becoming a hot topic in overall reservoir characterization process. It is an important approach for revealing the flow behaviors in porous media and exploring unknown flow patterns at pore scale. Over the past few decades, many reconstruction methods have been proposed, and among them the simulated annealing method (SAM) is extensively tested and easier to program. However, SAM is usually based on the two-point probability function or linear-path function, which fails to capture much more information on the multipoint connectivity of various shapes. For this reason, a new reconstruction method is proposed to reproduce the characteristics of a two-dimensional (2D) thin section based on the multipoint histogram. First, the two-point correlation coefficient matrix will be introduced to determine an optimal unit configuration of a multipoint histogram. Second, five different types of seven-point unit configurations will be used to test the unit configuration selection algorithm. Third, the multipoint histogram technology is used for generating the porous space reconstruction based on the prior unit configuration with a different calculation of the objective function. Finally, the spatial connectivity, patterns reproduction, the local percolation theory (LPT), and hydraulic connectivity are used to compare with those of the reference models. The results show that the multipoint histogram technology can produce better multipoint connectivity information than SAM. The reconstructed system matches the training image very well, which reveals that the reconstruction captures the geometry and topology information of the training image, for instance, the shape and distribution of pore space. The seven-point unit configuration is enough to get the spatial characters of the training image. The quality of pattern reproduction of the reconstruction is assessed by computing the multipoint histogram, and the similarity is around 97.3%. Based on the LPT analysis, the multipoint histogram can describe the anticipated patterns of geological heterogeneities and reproduce the connectivity of pore media with a high degree of accuracy. The two-point correlation coefficient matrix and a new construction theory are proposed. The new construction theory provides a stable theory and technology guidance for the study of pore space development and multiphase fluid flow rule in the digital rock.
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March 2018
Research-Article
A New Method of Porous Space Reconstruction Using Multipoint Histogram Technology
Na Zhang,
Na Zhang
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874,
Doha, Qatar
e-mail: na.zhang@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874,
Doha, Qatar
e-mail: na.zhang@qatar.tamu.edu
Search for other works by this author on:
Qian Sun,
Qian Sun
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: qian.sun@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: qian.sun@qatar.tamu.edu
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Mohamed Fadlelmula,
Mohamed Fadlelmula
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: mohamed.fadlelmula@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: mohamed.fadlelmula@qatar.tamu.edu
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Aziz Rahman,
Aziz Rahman
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: marahman@tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: marahman@tamu.edu
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Yuhe Wang
Yuhe Wang
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: yuhe.wang@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: yuhe.wang@qatar.tamu.edu
Search for other works by this author on:
Na Zhang
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874,
Doha, Qatar
e-mail: na.zhang@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874,
Doha, Qatar
e-mail: na.zhang@qatar.tamu.edu
Qian Sun
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: qian.sun@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: qian.sun@qatar.tamu.edu
Mohamed Fadlelmula
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: mohamed.fadlelmula@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: mohamed.fadlelmula@qatar.tamu.edu
Aziz Rahman
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: marahman@tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: marahman@tamu.edu
Yuhe Wang
Petroleum Engineering,
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: yuhe.wang@qatar.tamu.edu
Texas A&M University at Qatar,
Education City,
P.O. Box 23874
Doha, Qatar e-mail: yuhe.wang@qatar.tamu.edu
1These authors contributed equally to this work.
2Corresponding author.
Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received January 30, 2017; final manuscript received October 31, 2017; published online November 28, 2017. Assoc. Editor: Daoyong (Tony) Yang.
J. Energy Resour. Technol. Mar 2018, 140(3): 032909 (12 pages)
Published Online: November 28, 2017
Article history
Received:
January 30, 2017
Revised:
October 31, 2017
Citation
Zhang, N., Sun, Q., Fadlelmula, M., Rahman, A., and Wang, Y. (November 28, 2017). "A New Method of Porous Space Reconstruction Using Multipoint Histogram Technology." ASME. J. Energy Resour. Technol. March 2018; 140(3): 032909. https://doi.org/10.1115/1.4038379
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