### 抄録

元の言語 | 英語 |
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ページ（範囲） | 4150-4163 |

ページ数 | 14 |

ジャーナル | Water Resources Research |

巻 | 54 |

発行部数 | 6 |

出版物ステータス | 出版済み - 2018 |

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### これを引用

*Water Resources Research*,

*54*(6), 4150-4163.

**Pore Geometry Characterization by Persistent Homology Theory.** / Jiang, Fei; Tsuji, Takeshi; Shirai, Tomoyuki.

研究成果: ジャーナルへの寄稿 › 記事

*Water Resources Research*, 巻. 54, 番号 6, pp. 4150-4163.

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TY - JOUR

T1 - Pore Geometry Characterization by Persistent Homology Theory

AU - Jiang, Fei

AU - Tsuji, Takeshi

AU - Shirai, Tomoyuki

PY - 2018

Y1 - 2018

N2 - 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 H) derived from the PD is proposed to characterize the degree of rock heterogeneity. Low H value indicates high heterogeneity. A new empirical equation using this index H 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.

AB - 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 H) derived from the PD is proposed to characterize the degree of rock heterogeneity. Low H value indicates high heterogeneity. A new empirical equation using this index H 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.

M3 - Article

VL - 54

SP - 4150

EP - 4163

JO - Water Resources Research

JF - Water Resources Research

SN - 0043-1397

IS - 6

ER -