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Multi-scale approach for modeling the transversely isotropic elastic properties of shale considering multi-inclusions and interfacial transition zone
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Chen, Q., Mousavi Nezhad, Mohaddeseh, Fisher, Q. and Zhu, H. H. (2016) Multi-scale approach for modeling the transversely isotropic elastic properties of shale considering multi-inclusions and interfacial transition zone. International Journal of Rock Mechanics and Mining Sciences, 84 . pp. 95-104. doi:10.1016/j.ijrmms.2016.02.007
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WRAP_1272731-engineering-260217-manuscript_-20150819_wrap.pdf - Accepted Version - Requires a PDF viewer. Download (3516Kb) | Preview |
Official URL: http://dx.doi.org/10.1016/j.ijrmms.2016.02.007
Abstract
Multiscale approach based explicit analytic predictions are obtained for the transversely isotropic properties of shale rock considering the multi-inclusion and interfacial transition zone (ITZ) effects. Representative volume elements (RVEs) are utilized to describe the material’s hierarchical microstructures from the nanoscale to the macroscale. A new multilevel micromechanical homogenization scheme is presented to quantitatively estimate the material’s transversely isotropic properties with the multi-inclusion and ITZ effects. The ITZ is characterized by the interphase material, whose effects are calculated by modifying the generalized self-consistent model. Furthermore, the explicit form solutions for the transversely isotropic properties are obtained by utilizing the Hill polarization tensor without numerical integration and the standard tensorial basis with the analytic inversions of fourth-rank tensors. To verify the proposed multiscale framework, predictions obtained via the proposed model are compared with experimental data and results estimated by the previous work, which show that the proposed multi-scaling approaches are capable of predicting the macroscopic behaviors of shale rocks with the multi-inclusion and ITZ effects. Finally, the influences of ITZ and inclusion properties on the material’s macroscopic properties are discussed based on the proposed multiscale framework.
| Item Type: | Journal Article | ||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QE Geology |
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| Divisions: | Faculty of Science > Engineering | ||||||||||
| Library of Congress Subject Headings (LCSH): | Multiscale modeling, Shale | ||||||||||
| Journal or Publication Title: | International Journal of Rock Mechanics and Mining Sciences | ||||||||||
| Publisher: | Pergamon Press | ||||||||||
| ISSN: | 1365-1609 | ||||||||||
| Official Date: | April 2016 | ||||||||||
| Dates: |
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| Volume: | 84 | ||||||||||
| Page Range: | pp. 95-104 | ||||||||||
| DOI: | 10.1016/j.ijrmms.2016.02.007 | ||||||||||
| Status: | Peer Reviewed | ||||||||||
| Publication Status: | Published | ||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||
| Funder: | University of Warwick Research Development Fund, National Key Technology R&D Program of China | ||||||||||
| Grant number: | 973 Programme, No. 2011CB013800 (National Key Technology R&D Program of China) |
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