期刊名：Fractal and Fractional

期刊主页：https://www.mdpi.com/journal/fractalfract

本专题精选发表于 Fractal and Fractional 的 22 篇代表性研究，系统展示了分形或分数阶方法在黑色页岩与致密砂岩储层表征、煤系气吸附–渗流、岩石切割爆破、隧道变形预警、寒区土壤本构、水泥基材料微观结构等地质与岩土工程场景中的前沿应用。分形不只是描述工具，而是连接微观结构、宏观力学与工程预警的桥梁。

1. Pore Fractal Characteristics between Marine and Marine–Continental Transitional Black Shales: A Case Study of Niutitang Formation and Longtan Formation

海相与海陆过渡相黑色页岩孔隙分形特征对比研究——以牛蹄塘组和龙潭组为例

Ning, Shitan, Peng Xia, Fang Hao, Jinqiang Tian, Yong Fu, and Ke Wang.

https://www.mdpi.com/2504-3110/8/5/288

2. Pore Structure Quantification and Fractal Characterization of MSA Mortar Based on 1H Low-Field NMR

基于1H低场核磁共振的MSA砂浆孔隙结构定量分析与分形特征研究

Jiang, Zhen, Huan He, Guanglin Tian, Weizuo Guo, Yingzhen Li, and Zheng Pan

https://www.mdpi.com/2504-3110/8/1/42

3. Full-Scale Pore Structure Characterization and Its Impact on Methane Adsorption Capacity and Seepage Capability: Differences between Shallow and Deep Coal from the Tiefa Basin in Northeastern China

全尺度孔隙结构表征及其对甲烷吸附能力与渗流能力的影响：中国东北铁法盆地浅部与深部煤层的差异

Zhang, Na, Shuaidong Wang, Jiaqi Wu, Zheng Li, and Xinyue Wang.

https://www.mdpi.com/2504-3110/8/1/48

4. Effects of In-Situ Stress on Damage and Fractal during Cutting Blasting Excavation

切割爆破挖掘过程中原岩应力对损伤及分形特征的影响

Wu, Yongbo, Xiaojun Zhang, Zhuo Li, Wenxue Gao, Zehui Xu, Yifeng Zhang, and Jiguo Zhou.

https://www.mdpi.com/2504-3110/8/8/450

5. Analysis and Warning Prediction of Tunnel Deformation Based on Multifractal Theory

基于多分形理论的隧道变形分析及预警预测

Yang, Chengtao, Rendong Huang, Dunwen Liu, Weichao Qiu, Ruiping Zhang, and Yu Tang.

https://www.mdpi.com/2504-3110/8/2/108

6. Using Fractal Theory to Study the Influence of Movable Oil on the Pore Structure of Different Types of Shale: A Case Study of the Fengcheng Formation Shale in Well X of Mahu Sag, Junggar Basin, China

利用分形理论研究可动油对不同类型页岩孔隙结构的影响——以准噶尔盆地玛湖凹陷X井风城组页岩为例

Zhang, Hong, Zhengchen Zhang, Zhenlin Wang, Yamin Wang, Rui Yang, Tao Zhu, Feifei Luo, and Kouqi Liu.

https://www.mdpi.com/2504-3110/8/4/242

7. Fractal Analysis of Cement-Based Composite Microstructure and Its Application in Evaluation of Macroscopic Performance of Cement-Based Composites: A Review

水泥基复合材料微观结构的分形分析及其在水泥基复合材料宏观性能评估中的应用——综述

https://www.mdpi.com/2504-3110/8/6/304

Zhang, P.; Ding, J.; Guo, J.; Wang, F. Fractal Analysis of Cement-Based Composite Microstructure and Its Application in Evaluation of Macroscopic Performance of Cement-Based Composites: A Review. Fractal Fract. 2024, 8, 304.

8. Fractal and Multifractal Analysis of Microscopic Pore Structure of UHPC Matrix Modified with Nano Silica

纳米二氧化硅改性超高性能混凝土基体微观孔隙结构的分形与多重分形分析

https://www.mdpi.com/2504-3110/8/6/360

Guan, D.; Pan, T.; Guo, R.; Wei, Y.; Qi, R.; Fu, C.; Zhang, Z.; Zhu, Y. Fractal and Multifractal Analysis of Microscopic Pore Structure of UHPC Matrix Modified with Nano Silica. Fractal Fract. 2024, 8, 360.

9. Analysis of Impact Crushing Characteristics of Steel Fiber Reinforced Recycled Aggregate Concrete Based on Fractal Theory

基于分形理论的钢纤维增强再生骨料混凝土冲击破碎特征分析

https://www.mdpi.com/2504-3110/8/9/505

Zhang, X.; Zhu, Y.; Wang, J.; Zhou, G.; Huang, Y. Analysis of Impact Crushing Characteristics of Steel Fiber Reinforced Recycled Aggregate Concrete Based on Fractal Theory. Fractal Fract. 2024, 8, 505.

10. Fractal Characteristics of Pore Structure of Longmaxi Shales with Different Burial Depths in Southern Sichuan and Its Geological Significance

四川南部不同埋藏深度的龙马溪组页岩孔隙结构分形特征及其地质意义

https://www.mdpi.com/2504-3110/9/1/2

Yang, M.; Pan, Y.; Feng, H.; Yan, Q.; Lu, Y.; Wang, W.; Qi, Y.; Zhu, H. Fractal Characteristics of Pore Structure of Longmaxi Shales with Different Burial Depths in Southern Sichuan and Its Geological Significance. Fractal Fract. 2025, 9, 2.

11. Compressive Failure Characteristics of a Coal–Rock Combination at Different Angles: Experimental Study and Fractal Analysis

不同倾角煤–岩组合体压缩破坏特征：试验研究与分形分析

https://www.mdpi.com/2504-3110/8/4/240

Tang, L.; Tu, S.; Tu, H.; Miao, K.; Li, W.; Zhao, H.; Ma, J.; Zhang, L. Compressive Failure Characteristics of a Coal–Rock Combination at Different Angles: Experimental Study and Fractal Analysis. Fractal Fract. 2024, 8, 240.

12. Fractal Characterization of the Pore-Throat Structure in Tight Sandstone Based on Low-Temperature Nitrogen Gas Adsorption and High-Pressure Mercury Injection

基于低温氮气吸附与高压压汞的致密砂岩孔喉结构分形表征

https://www.mdpi.com/2504-3110/8/6/356

He, T.; Zhou, Y.; Chen, Z.; Zhang, Z.; Xie, H.; Shang, Y.; Cui, G. Fractal Characterization of the Pore-Throat Structure in Tight Sandstone Based on Low-Temperature Nitrogen Gas Adsorption and High-Pressure Mercury Injection. Fractal Fract. 2024, 8, 356.

13. Fractal Strategy for Improving Characterization of N2 Adsorption–Desorption in Mesopores

基于分形理论改进介孔中氮气吸附–脱附表征的方法

https://www.mdpi.com/2504-3110/8/11/617

Feng, K.; Liu, G.; Zhang, Z.; Liu, H.; Lv, R.; Wang, X.; Chang, P.; Lin, J.; Barakos, G. Fractal Strategy for Improving Characterization of N2 Adsorption–Desorption in Mesopores. Fractal Fract. 2024, 8, 617.

14. Fractal Dimension Analysis of Pore Throat Structure in Tight Sandstone Reservoirs of Huagang Formation: Jiaxing Area of East China Sea Basin

东海盆地嘉兴地区花港组致密砂岩储层孔喉结构分形维数分析

https://www.mdpi.com/2504-3110/8/7/374

Wang, W.; Lin, C.; Zhang, X. Fractal Dimension Analysis of Pore Throat Structure in Tight Sandstone Reservoirs of Huagang Formation: Jiaxing Area of East China Sea Basin. Fractal Fract. 2024, 8, 374.

15. Matrix Compression and Pore Heterogeneity in the Coal-Measure Shale Reservoirs of the Qinshui Basin: A Multifractal Analysis

沁水盆地煤系页岩储层的基质压缩与孔隙异质性：多重分形分析

https://www.mdpi.com/2504-3110/8/10/580

Zhong, B.; Zhu, Y.; Feng, G.; Xiang, J.; Wang, Y. Matrix Compression and Pore Heterogeneity in the Coal-Measure Shale Reservoirs of the Qinshui Basin: A Multifractal Analysis. Fractal Fract. 2024, 8, 580.

16. A Fractional-Order Creep-Damage Model for Carbonaceous Shale Describing Coupled Damage Caused by Rainfall and Blasting

描述降雨与爆破耦合损伤的碳质页岩分数阶蠕变损伤模型

https://www.mdpi.com/2504-3110/8/8/459

Li, J.; Hu, B.; Sheng, J.; Huang, L. A Fractional-Order Creep-Damage Model for Carbonaceous Shale Describing Coupled Damage Caused by Rainfall and Blasting. Fractal Fract. 2024, 8, 459.

17. Fractal Evolution Characteristics on the Three-Dimensional Fractures in Coal Induced by CO2 Phase Transition Fracturing

CO₂相变致裂诱发煤体三维裂缝的分形演化特征

https://www.mdpi.com/2504-3110/8/5/273

Zhang, Z.; Liu, G.; Lin, J.; Barakos, G.; Chang, P. Fractal Evolution Characteristics on the Three-Dimensional Fractures in Coal Induced by CO₂ Phase Transition Fracturing. Fractal Fract. 2024, 8, 273.

18. A Binary Medium Constitutive Model for Frozen Solidified Saline Soil in Cold Regions and Its Fractal Characteristics Analysis

寒冷地区盐渍冻土的二元介质本构模型及其分形特征分析

https://www.mdpi.com/2504-3110/8/1/33

Kang, X.; Li, H.; Zhang, G.; Li, S.; Shan, L.; Zhao, J.; Zhang, Z. A Binary Medium Constitutive Model for Frozen Solidified Saline Soil in Cold Regions and Its Fractal Characteristics Analysis. Fractal Fract. 2024, 8, 33.

19. A Fractal Adsorption Model on Methane in Coal with Temperature Effect Dependence

考虑温度影响的煤中甲烷吸附分形模型

https://www.mdpi.com/2504-3110/8/7/370

Guo, F.; Liu, G.; Zhang, Z.; Lv, R.; Xian, B.; Lin, J.; Barakos, G.; Chang, P. A Fractal Adsorption Model on Methane in Coal with Temperature Effect Dependence. Fractal Fract. 2024, 8, 370.

20. Energy Evolution and Fractal Characteristics of Sandstones Under True Triaxial Cyclic Loading and Unloading

真三轴循环加卸载模式下砂岩的能量演化与分形特征

https://www.mdpi.com/2504-3110/8/12/714

Zhang, Q.; Meng, X.; Zhao, G. Energy Evolution and Fractal Characteristics of Sandstones Under True Triaxial Cyclic Loading and Unloading. Fractal Fract. 2024, 8, 714.

21. Influences of Different Acid Solutions on Pore Structures and Fractal Features of Coal

不同酸溶液对煤孔隙结构及分形特征的影响

https://www.mdpi.com/2504-3110/8/2/82

Zhang, J.; Ni, X.; Liu, X.; Su, E. Influences of Different Acid Solutions on Pore Structures and Fractal Features of Coal. Fractal Fract. 2024, 8, 82.

22. A Fractal-Based Quantitative Method for the Study of Fracture Evolution of Coal under Different Confining Pressures

不同围压下煤体裂隙演化的分形定量研究方法

https://www.mdpi.com/2504-3110/8/3/159

Wang, A.; Wang, L. A Fractal-Based Quantitative Method for the Study of Fracture Evolution of Coal under Different Confining Pressures. Fractal Fract. 2024, 8, 159.

期刊介绍

主编：Carlo Cattani, University of Tuscia, Italy

期刊主题涵盖分形与分数阶微积分的基础理论及其在多个科学和工程领域中的应用研究。现已被 SCIE（Web of Science）、Scopus 等重要数据库收录，并在多个分类中位居 Q1 区：JCR “Mathematics, Interdisciplinary Applications” 22/137；Scopus “Mathematics – Analysis” 6/210，“Mathematics – Statistics and Probability” 23/303。

2025 Impact Factor：3.5

2025 CiteScore：6.8

Time to First Decision：19.3 Days

Acceptance to Publication：2.8 Days