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Open Geosciences

formerly Central European Journal of Geosciences

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A modified initial in-situ Stress Inversion Method based on FLAC3D with an engineering application

Yong Li
  • Geotechnical & Structural Engineering Research Center, Shandong University, Jinan, Shandong Province, 250061, P. R. China
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Yunhua Guo
  • Hubei Key Laboratory of Roadway Bridge & Structure Engineering, Wuhan University of Technology, Wuhan 430070, P.R. China
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  • De Gruyter OnlineGoogle Scholar
/ Weishen Zhu
  • Geotechnical & Structural Engineering Research Center, Shandong University, Jinan, Shandong Province, 250061, P. R. China
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  • De Gruyter OnlineGoogle Scholar
/ Shucai Li
  • Geotechnical & Structural Engineering Research Center, Shandong University, Jinan, Shandong Province, 250061, P. R. China
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  • De Gruyter OnlineGoogle Scholar
/ Hao Zhou
  • Geotechnical & Structural Engineering Research Center, Shandong University, Jinan, Shandong Province, 250061, P. R. China
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2015-12-01 | DOI: https://doi.org/10.1515/geo-2015-0065

Abstract

To improve the accuracy of an initial in-situ stress field determined by inversion, we describe a modi fied initial in-situ stress inversion method that uses partial least-squares regression based on FLAC3D. First, each stress component is regressed to improve the fitting accuracy of locally abnormal stress regions, and then the relationship between element stress and unbalanced node force is analyzed according to the computational principles of FLAC3D. The initial in-situ stresses obtained from these regression calculations are added to a numerical model, and the unbalanced node forces are recalculated. An external force equal to the recalculated unbalanced node force is then exerted on the node in the direction opposing the original unbalanced node force to satisfy the equilibrium condition. For the in-situ stresses of elements that do not satisfy the strength conditions, they are modi fied by assuming the average stress is constant and reducing the partial stress to satisfy the equilibrium and strength conditions, which also resolves the unreasonable distribution of the boundary nodal forces and results in good regression estimates. A three-dimensional hypersurface spline interpolation method is developed to calculate the in-situ stress tensor at arbitrary coordinates. Finally, we apply this method to an underground engineering project, and the results are shown to agree well with those obtained from field monitoring. Therefore, it is concluded that this modified in-situ stress inversion method could effectively improve the fitting accuracy of locally abnormal stress regions.

Keywords: in-situ stress; inversion method; partial leastsquares regression; numerical analysis; FLAC3D

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About the article

Received: 2015-02-07

Accepted: 2015-05-14

Published Online: 2015-12-01


Citation Information: Open Geosciences, Volume 7, Issue 1, ISSN (Online) 2391-5447, DOI: https://doi.org/10.1515/geo-2015-0065.

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©2015 Y. Li et al.. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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