{"title":"基于粗糙毛管束模型和应力效应的多孔介质裂缝渗透率特征分形研究","authors":"Shanshan Yang, Ruike Cui, Qian Zheng, Mengying Wang, Shuaiyin Chen, Qiong Sheng","doi":"10.1007/s40571-025-00904-5","DOIUrl":null,"url":null,"abstract":"<div><p>In accordance with the fractal characteristics of fractures, the flow path of fluid in fractures is regarded as a rough capillary bundle in this paper. Combined with the influence of effective stress on seepage in rock fracture, the fractal model of permeability and the normalized permeability model in rough rock fracture considering effective stress are established. The effects of effective stress and relative roughness on fracture permeability and the relationship between normalized permeability and Young’s modulus, Poisson’s ratio were investigated. The findings reveal that the normalized permeability in the rough fracture is inversely related to both relative roughness, Poisson’s ratio and effective stress while exhibiting a direct proportionality to Young’s modulus. In addition, the model presented in this paper is subjected to a comparative analysis alongside existing models and experimental data, which shows that the model in this paper can effectively describe the seepage properties of fluid within rough fractures subjected to stress conditions.</p></div>","PeriodicalId":524,"journal":{"name":"Computational Particle Mechanics","volume":"12 3","pages":"1883 - 1892"},"PeriodicalIF":2.8000,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractal study of fracture permeability characteristics in porous media based on rough capillary bundle model and stress effect\",\"authors\":\"Shanshan Yang, Ruike Cui, Qian Zheng, Mengying Wang, Shuaiyin Chen, Qiong Sheng\",\"doi\":\"10.1007/s40571-025-00904-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In accordance with the fractal characteristics of fractures, the flow path of fluid in fractures is regarded as a rough capillary bundle in this paper. Combined with the influence of effective stress on seepage in rock fracture, the fractal model of permeability and the normalized permeability model in rough rock fracture considering effective stress are established. The effects of effective stress and relative roughness on fracture permeability and the relationship between normalized permeability and Young’s modulus, Poisson’s ratio were investigated. The findings reveal that the normalized permeability in the rough fracture is inversely related to both relative roughness, Poisson’s ratio and effective stress while exhibiting a direct proportionality to Young’s modulus. In addition, the model presented in this paper is subjected to a comparative analysis alongside existing models and experimental data, which shows that the model in this paper can effectively describe the seepage properties of fluid within rough fractures subjected to stress conditions.</p></div>\",\"PeriodicalId\":524,\"journal\":{\"name\":\"Computational Particle Mechanics\",\"volume\":\"12 3\",\"pages\":\"1883 - 1892\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2025-02-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational Particle Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40571-025-00904-5\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Particle Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s40571-025-00904-5","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Fractal study of fracture permeability characteristics in porous media based on rough capillary bundle model and stress effect
In accordance with the fractal characteristics of fractures, the flow path of fluid in fractures is regarded as a rough capillary bundle in this paper. Combined with the influence of effective stress on seepage in rock fracture, the fractal model of permeability and the normalized permeability model in rough rock fracture considering effective stress are established. The effects of effective stress and relative roughness on fracture permeability and the relationship between normalized permeability and Young’s modulus, Poisson’s ratio were investigated. The findings reveal that the normalized permeability in the rough fracture is inversely related to both relative roughness, Poisson’s ratio and effective stress while exhibiting a direct proportionality to Young’s modulus. In addition, the model presented in this paper is subjected to a comparative analysis alongside existing models and experimental data, which shows that the model in this paper can effectively describe the seepage properties of fluid within rough fractures subjected to stress conditions.
期刊介绍:
GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research.
SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including:
(a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc.,
(b) Particles representing material phases in continua at the meso-, micro-and nano-scale and
(c) Particles as a discretization unit in continua and discontinua in numerical methods such as
Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.