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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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
Subjects:	Q Science > QA Mathematics Q Science > QE Geology
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:	Date Event April 2016 Published 10 March 2016 Available 16 February 2016 Accepted 19 August 2015 Submitted
Date of first compliant deposit:	27 February 2017
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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