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Stress-weighted spatial averaging of random fields in geotechnical risk assessment Cover

Stress-weighted spatial averaging of random fields in geotechnical risk assessment

Open Access
|Dec 2021

References

  1. Bagińska, I., Kawa, M. & Janecki, W. (2016). Spatial variability of lignite mine dumping ground soil properties using CPTu results. Studia Geotechnica et Mechanica, 38(1), 3–13.
  2. Brząkała, W. (1981). Randomness of subsoil parameters (in Polish). Archiwum Inżynierii Lądowej (Archives of Civil Engineering), XXVII(4), 599–606.
  3. Ching, J. & Hu, Y.-G. (2017). Effective Young's modulus for a footing on a spatially variable soil mass. Geo-Risk 2017, ASCE Conf. Proceedings, Denver, USA, 360–369.
  4. Ching, J., Hu, Y.G. & Phoon, K.K. (2016). On characterizing spatially variable soil shear strength using spatial average. Probabilistic Engineering Mechanics, 45, 31–43.
  5. Ching, J. & Phoon, K.K. (2013). Mobilized shear strength of spatially variable soils under simple stress states. Structural Safety, 41, 20–28.
  6. Cho, S.E. (2007). Effects of spatial variability of soil properties on slope stability. Engineering Geology, 92, 97–109.
  7. Chwała, M. (2019). Undrained bearing capacity of spatially random soil for rectangular footings. Soils and Foundations, 59(5), 1508–1521.
  8. Deng, Z.P., Li, D.Q., Qi, X.H., Cao, Z.J. & Phoon, K.K. (2017). Reliability evaluation of slope considering geological uncertainty and inherent variability of soil parameters. Computers and Geotechnics, 92, 121–131.
  9. EN 1997-1: Eurocode 7. Geotechnical design. Part 1: General rules.
  10. Farah, K., Ltifi, M. & Hassis, H. (2015). A Study of probabilistic FEMs for a slope reliability analysis using the stress fields. The Open Civil Engineering Journal, 9(1), 196–206.
  11. Fenton, G.A. & Griffiths, D.V. (2003). Bearing-capacity prediction of spatially random c-φ soils. Canadian Geotechnical Journal, 40(1), 54–65.
  12. Griffiths, D.V. & Fenton, G.A. (2001). Bearing capacity of spatially random soil: The undrained clay Prandtl problem revisited. Géotechnique, 51(4), 351–359.
  13. Huang, J., Lyamin, A.V., Griffiths, D.V., Sloan, S.W., Krabbenhoft, K. & Fenton, G.A. (2013). Undrained bearing capacity of spatially random clays by finite elements and limit analysis. Proceedings of the XVIII Int. Confer. on SMGE, 731–734.
  14. Jaksa, M.B., Kaggawa, W.S. & Brooker, P.I. (1999). Experimental evaluation of the scale of fluctuation of a stiff clay. ICASP-8 Conf. Proceedings, Sydney, Australia. Vol. 1, 415–422.
  15. Javankhoshdel, S. & Bathurst, R.J. (2015). Influence of cross correlation between soil parameters on probability of failure of simple cohesive and c-φ slopes. Canadian Geotechnical Journal, 2015-0109 (November),
  16. Ji, J., Zhang, C., Gao, Y. & Kodikara, J. (2018). Effect of 2D spatial variability on slope reliability: A simplified FORM analysis. Geoscience Frontiers, 9(6), 1631–1638.
  17. Jiang, S.H., Li, D.Q., Zhang, L.M. & Zhou, C.B. (2014). Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method. Engineering Geology, 168, 120–128.
  18. Jiang, S.H., Li, D.Q., Cao, Z.J., Zhou, C.B. & Phoon, K.K. (2015). Efficient system reliability analysis of slope stability in spatially variable soils using Monte Carlo Simulation. Journal of Geotechnical and Geoenvironmental Engineering, 141(2), 04014096.
  19. Kim, J.M. & Sitar, N. (2013). Reliability approach to slope stability analysis with spatially correlated soil properties. Soils and Foundations, 53(1), 1–10.
  20. Li, D.Q., Qi, X.-H., Cao, Z.-J., Tang, X.-S., Zhou, W., Phoon, K.-K. & Zhou, C.-B. (2015). Reliability analysis of strip footing considering spatially variable undrained shear strength that linearly increases with depth. Soils and Foundations, 55(4), 866–880.
  21. Li, X.Y., Zhang, L.M., Gao, L. & Zhu, H. (2017). Simplified slope reliability analysis considering spatial soil variability. Engineering Geology, 216, 90–97.
  22. Liu, L.L., Cheng, Y.M. & Zhang, S.H. (2017). Conditional random field reliability analysis of a cohesion-frictional slope. Computers and Geotechnics, 82, 173–186.
  23. Liu, Y., Zhang, W., Zhang, L., Zhu, Z., Hu, J. & Wei, H. (2018). Probabilistic stability analyses of undrained slopes by 3D random fields and finite element methods. Geoscience Frontiers, 9(6), 1657–1664.
  24. Lloret-Cabot, M., Fenton, G.A. & Hicks, M.A. (2014). On the estimation of scale of fluctuation in geostatistics. Georisk:Assessment and Management of Risk for Engineered Systems and Geohazards, 8(2), 129–140.
  25. Low, B.K. & Phoon, K.K. (2015). Reliability based design and its complementary role to Eurocode 7 design approach. Computers and Geotechnics, 65, 30–44.
  26. Oguz, E.A., Huvaj, N., & Griffiths, D.V. (2019). Vertical spatial correlation length based on standard penetration tests. Marine Georesources & Geotechnology, 37(1), 45–56.
  27. Ostoja-Starzewski, M. (2006). Material spatial randomness. From statistical to representative volume element. Probabilistic Engineering Mechanics, 21, 112–132.
  28. Phoon, K.K. & Kulhawy, F.H. (1999a). Characterization of geotechnical variability. Canadian Geotechnical Journal, 36(4), 612–624.
  29. Phoon, K.K. & Kulhawy, F.H. (1999b). Evaluation of geotechnical property variability. Canadian Geotechnical Journal, 36(4), 625–639.
  30. Pieczyńska-Kozłowska, J.M., Puła, W. & Vessia, G. (2017). A collection of fluctuation scale values and autocorrelation functions of fine deposits in Emilia Romagna Palin, Italy. Geo-Risk 2017, ASCE Conf. Proceedings, Denver, USA, 360–369.
  31. Puła, W. & Chwała, M., (2015). On spatial averaging along random slip lines in the reliability computations of shallow strip foundations. Computers and Geotechnics, 68, 128–136.
  32. Shen, Z., Jin, D., Pan, Q., Yang, H. & Chian, S.Ch. (2021). Effect of soil spatial variability on failure mechanisms and undrained capacities of strip foundations under uniaxial loading. Computers and Geotechnics, 139 (November), 104387.
  33. Tietje, O., Fitze, P. & Schneider, H.R. (2014). Slope stability analysis based on autocorrelated shear strength parameters. Geotechnical and Geological Engineering, 32, 1477–1483.
  34. Vanmarcke, E.H. (2010). Random Fields. Analysis and Synthesis. World Scientific, Singapore. (rev. ed. of MIT Press, 1983).
DOI: https://doi.org/10.2478/sgem-2021-0039 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 465 - 478
Submitted on: Jul 28, 2021
Accepted on: Nov 22, 2021
Published on: Dec 22, 2021
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2021 Włodzimierz Brząkała, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.