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Development of Embedded Element Technique for Permeability Analysis of Cracked Porous Media
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The widely used approach of mesoscale finite element modeling for permeability analysis is to simulate the matrix and cracks with continuum elements (CE), whereas this process brings technical difficulties in generating a satisfying mesh conformity at the interface.
In this work, an alternative method based on embedded element (EE) technique is developed for the prediction of water pressure field and effective permeability in the numerical simulation.
Based on the mathematical similarity between elasticity and seepage problems, water pressure can derive from the corresponding displacement through “elastic analogy.” To assess the capability of the EE technique, different cases are simulated and compared with the CE model.
The results show that there is a satisfactory agreement in water pressures and velocities between the CE and EE modeling.
In the CE model, different factors, such as permeability contrast between matrix and cracks (Kcrack/Kmatrix) and mesh size, are considered.
It is obvious to find that results will become stable when Kcrack/Kmatrix reaches 104, and the mesh size has little impact.
The effective permeability of 3D porous media with random cracks is evaluated and the results show that the differential method is accurate for 3D permeability analysis when the crack density is not large.
American Psychological Association (APA)
Qian, Peng& Xu, Qianjun. 2017. Development of Embedded Element Technique for Permeability Analysis of Cracked Porous Media. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191460
Modern Language Association (MLA)
Qian, Peng& Xu, Qianjun. Development of Embedded Element Technique for Permeability Analysis of Cracked Porous Media. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1191460
American Medical Association (AMA)
Qian, Peng& Xu, Qianjun. Development of Embedded Element Technique for Permeability Analysis of Cracked Porous Media. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1191460
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191460