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Computational upscaling of Drucker-Prager plasticity from micro-CT images of synthetic porous rock

Publication ,  Journal Article
Liu, J; Sarout, J; Zhang, M; Dautriat, J; Veveakis, E; Regenauer-Lieb, K
Published in: Geophysical Journal International
January 1, 2018

Quantifying rock physical properties is essential for the mining and petroleum industry. Microtomography provides a new way to quantify the relationship between the microstructure and the mechanical and transport properties of a rock. Studies reporting the use microtomographic images to derive permeability and elastic moduli of rocks are common; only rare studies were devoted to yield and failure parameters using this technique. In this study, we simulate the macroscale plastic properties of a synthetic sandstone sample made of calcite-cemented quartz grains using the microscale information obtained from microtomography. The computations rely on the concept of representative volume elements (RVEs). The mechanical RVE is determined using the upper and lower bounds of finite-element computations for elasticity. We present computational upscaling methods from microphysical processes to extract the plasticity parameters of the RVE and compare results to experimental data. The yield stress, cohesion and internal friction angle of the matrix (solid part) of the rock were obtained with reasonable accuracy. Computations of plasticity of a series of models of different volume-sizes showed almost overlapping stress-strain curves, suggesting that the mechanical RVE determined by elastic computations is also valid for plastic yielding. Furthermore, a series of models were created by self-similarly inflating/deflating the porous models, that is keeping a similar structure while achieving different porosity values. The analysis of these models showed that yield stress, cohesion and internal friction angle linearly decrease with increasing porosity in the porosity range between 8 and 28 per cent. The internal friction angle decreases the most significantly, while cohesion remains stable.

Duke Scholars

Published In

Geophysical Journal International

DOI

EISSN

1365-246X

ISSN

0956-540X

Publication Date

January 1, 2018

Volume

212

Issue

1

Start / End Page

151 / 163

Related Subject Headings

  • Geochemistry & Geophysics
  • 4013 Geomatic engineering
  • 3706 Geophysics
  • 3705 Geology
  • 0909 Geomatic Engineering
  • 0404 Geophysics
  • 0403 Geology
 

Citation

APA
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ICMJE
MLA
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Liu, J., Sarout, J., Zhang, M., Dautriat, J., Veveakis, E., & Regenauer-Lieb, K. (2018). Computational upscaling of Drucker-Prager plasticity from micro-CT images of synthetic porous rock. Geophysical Journal International, 212(1), 151–163. https://doi.org/10.1093/gji/ggx409
Liu, J., J. Sarout, M. Zhang, J. Dautriat, E. Veveakis, and K. Regenauer-Lieb. “Computational upscaling of Drucker-Prager plasticity from micro-CT images of synthetic porous rock.” Geophysical Journal International 212, no. 1 (January 1, 2018): 151–63. https://doi.org/10.1093/gji/ggx409.
Liu J, Sarout J, Zhang M, Dautriat J, Veveakis E, Regenauer-Lieb K. Computational upscaling of Drucker-Prager plasticity from micro-CT images of synthetic porous rock. Geophysical Journal International. 2018 Jan 1;212(1):151–63.
Liu, J., et al. “Computational upscaling of Drucker-Prager plasticity from micro-CT images of synthetic porous rock.” Geophysical Journal International, vol. 212, no. 1, Jan. 2018, pp. 151–63. Scopus, doi:10.1093/gji/ggx409.
Liu J, Sarout J, Zhang M, Dautriat J, Veveakis E, Regenauer-Lieb K. Computational upscaling of Drucker-Prager plasticity from micro-CT images of synthetic porous rock. Geophysical Journal International. 2018 Jan 1;212(1):151–163.
Journal cover image

Published In

Geophysical Journal International

DOI

EISSN

1365-246X

ISSN

0956-540X

Publication Date

January 1, 2018

Volume

212

Issue

1

Start / End Page

151 / 163

Related Subject Headings

  • Geochemistry & Geophysics
  • 4013 Geomatic engineering
  • 3706 Geophysics
  • 3705 Geology
  • 0909 Geomatic Engineering
  • 0404 Geophysics
  • 0403 Geology