Pore Geometry Characterization by Persistent Homology Theory
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- Fei Jiang
- Department of Mechanical Engineering, Graduate School of Sciences and Technology for Innovation Yamaguchi University Ube Japan
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- Takeshi Tsuji
- International Institute of Carbon‐Neutral Energy Research Kyushu University Fukuoka Japan
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- Tomoyuki Shirai
- Institute of Mathematics for Industry Kyushu University Fukuoka Japan
書誌事項
- 公開日
- 2018-06
- 資源種別
- journal article
- 権利情報
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- http://onlinelibrary.wiley.com/termsAndConditions#vor
- DOI
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- 10.1029/2017wr021864
- 公開者
- American Geophysical Union (AGU)
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説明
<jats:title>Abstract</jats:title><jats:p>Rock pore geometry has heterogeneous characteristics and is scale dependent. This feature in a geological formation differs significantly from artificial materials and makes it difficult to predict hydrologic and elastic properties. To characterize pore heterogeneity, we propose an evaluation method that exploits the recently developed persistent homology theory. In the proposed method, complex pore geometry is first represented as sphere cloud data using a pore‐network extraction method. Then, a persistence diagram (PD) is calculated from the point cloud, which represents the spatial distribution of pore bodies. A new parameter (distance index <jats:italic>H</jats:italic>) derived from the PD is proposed to characterize the degree of rock heterogeneity. Low <jats:italic>H</jats:italic> value indicates high heterogeneity. A new empirical equation using this index <jats:italic>H</jats:italic> is proposed to predict the effective elastic modulus of porous media. The results indicate that the proposed PD analysis is very efficient for extracting topological feature of pore geometry.</jats:p>
収録刊行物
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- Water Resources Research
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Water Resources Research 54 (6), 4150-4163, 2018-06
American Geophysical Union (AGU)
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詳細情報 詳細情報について
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- CRID
- 1360004233291252608
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- ISSN
- 19447973
- 00431397
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- Web Site
- https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2017WR021864
- https://onlinelibrary.wiley.com/doi/pdf/10.1029/2017WR021864
- https://onlinelibrary.wiley.com/doi/full-xml/10.1029/2017WR021864
- https://onlinelibrary.wiley.com/doi/am-pdf/10.1029%2F2017WR021864
- https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2017WR021864
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- 資料種別
- journal article
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- データソース種別
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