A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media

Natural porous structure is extremely complex, and it is of great significance to study the macroscopic mechanical response of the representative volume element (RVE) with the microstructure of porous media. The real porous media RVE is generated by an improved quartet structure generation set (QSGS...

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Main Authors: Jianjun Liu, Mingyang Wu, Zhengwen Zhu, Zuliang Shao
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2017/7905218
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author Jianjun Liu
Mingyang Wu
Zhengwen Zhu
Zuliang Shao
author_facet Jianjun Liu
Mingyang Wu
Zhengwen Zhu
Zuliang Shao
author_sort Jianjun Liu
collection DOAJ
description Natural porous structure is extremely complex, and it is of great significance to study the macroscopic mechanical response of the representative volume element (RVE) with the microstructure of porous media. The real porous media RVE is generated by an improved quartet structure generation set (QSGS), and the connectivity of the reconstructed porous media models is analyzed. The fractal dimension of the RVE is calculated by the box-counting method, which considers the different porosity, different fractal dimension, and different mechanical properties of the matrix. Thus, the stress-strain curves of the RVE in the elastoplastic stage under different conditions are obtained. The results show that when the matrix mechanics are consistent, the mechanical properties of the porous media RVE are negatively correlated with the porosity and fractal dimension; when the difference between the porosity and fractal dimension increases, the trend is more obvious. The mechanical properties of the RVE have a positive correlation with the modulus of elasticity of the matrix, though the correlation with Poisson’s ratio of the matrix is weak. The fractal dimension of complex porous media can better predict the RVE mechanical characteristics than the porosity.
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spelling doaj-art-2d58d2da9e114f4590a1be6e4e9b5e4d2025-08-20T02:24:07ZengWileyGeofluids1468-81151468-81232017-01-01201710.1155/2017/79052187905218A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous MediaJianjun Liu0Mingyang Wu1Zhengwen Zhu2Zuliang Shao3School of Geoscience and Technology, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaSchool of Geoscience and Technology, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaSchool of Geoscience and Technology, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaSchool of Geoscience and Technology, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaNatural porous structure is extremely complex, and it is of great significance to study the macroscopic mechanical response of the representative volume element (RVE) with the microstructure of porous media. The real porous media RVE is generated by an improved quartet structure generation set (QSGS), and the connectivity of the reconstructed porous media models is analyzed. The fractal dimension of the RVE is calculated by the box-counting method, which considers the different porosity, different fractal dimension, and different mechanical properties of the matrix. Thus, the stress-strain curves of the RVE in the elastoplastic stage under different conditions are obtained. The results show that when the matrix mechanics are consistent, the mechanical properties of the porous media RVE are negatively correlated with the porosity and fractal dimension; when the difference between the porosity and fractal dimension increases, the trend is more obvious. The mechanical properties of the RVE have a positive correlation with the modulus of elasticity of the matrix, though the correlation with Poisson’s ratio of the matrix is weak. The fractal dimension of complex porous media can better predict the RVE mechanical characteristics than the porosity.http://dx.doi.org/10.1155/2017/7905218
spellingShingle Jianjun Liu
Mingyang Wu
Zhengwen Zhu
Zuliang Shao
A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media
Geofluids
title A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media
title_full A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media
title_fullStr A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media
title_full_unstemmed A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media
title_short A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media
title_sort study on the mechanical properties of the representative volume element in fractal porous media
url http://dx.doi.org/10.1155/2017/7905218
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