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Spatial variability analysis of soil strength to slope stability assessment

  • Lombardi, Mara (Department of Chemical Materials Environment Engineering, Sapienza University of Rome) ;
  • Cardarilli, Monica (Department of Chemical Materials Environment Engineering, Sapienza University of Rome) ;
  • Raspa, Giuseppe (Department of Chemical Materials Environment Engineering, Sapienza University of Rome)
  • 투고 : 2015.12.31
  • 심사 : 2016.11.17
  • 발행 : 2017.03.30

초록

Uncertainty is a fact belonging to engineering practice. An important uncertainty that sets geotechnical engineering is the variability associated with the properties of soils or, more precisely, the characterization of soil profiles. The reason is due largely to the complex and varied natural processes associated with the formation of soil. Spatial variability analysis for the study of the stability of natural slopes, complementing conventional analyses, is able to incorporate these uncertainties. In this paper the characterization is performed in back-analysis for a case of landslide occurred to verify afterwards the presence of the conditions of shear strength at failure. This approach may support designers to make more accurate estimates regarding slope failure responding, more consciously, to the legislation dispositions about slope stability evaluation and future design. By applying different kriging techniques used for spatial analysis it has been possible to perform a 3D-slope reconstruction. The predictive analysis and the areal mapping of the soil mechanical characteristics would support the definition of priority interventions in the zones characterized by more critical values as well as slope potential instability. This tool of analysis aims to support decision-making by directing project planning through the efficient allocation of available resources.

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참고문헌

  1. Aguilar, F.J., Agüera, F., Aguilar, M.A. and Carvajal, F. (2005), "Effects of terrain morphology, sampling density and interpolation methods on grid DEM accuracy", Photogramm. Eng. Remote Sensing, 71(7), 805-816. https://doi.org/10.14358/PERS.71.7.805
  2. Ahmed, S. and de Marsily, G. (1987), "Comparison of geostatistical methods for estimating transmissivity using data on transmissivity and specific capacity", Water Resour. Res., 23(9), 1717-1737. https://doi.org/10.1029/WR023i009p01717
  3. Alonso, E.E. (1976), "Risk analysis of slopes and its application to slopes in Canadian sensitive clays", Geotechnique, 26(3), 453-472. https://doi.org/10.1680/geot.1976.26.3.453
  4. Baecher, G.B. and Christian, J.T. (2003), Reliability and Statistics in Geotechnical Engineering, John Wiley & Sons, Chichester, UK.
  5. Bhattacharjya, S., Chakraborti, S. and Das, S. (2015), "Robust optimization of reinforced concrete folded plate and shell roof structure incorporating parameter uncertainty", Struct. Eng. Mech., Int. J., 56(5), 707-726. https://doi.org/10.12989/sem.2015.56.5.707
  6. Bond, A. and Harris, A. (2008), Decoding Eurocode 7, Taylor and Francis, London, UK, 616 p.
  7. Bouma, J., Stoorvogel, J., Van Alphen, B.J. and Booltink, H.W.G. (1999), "Pedology, precision agriculture, and the changing paradigm of agricultural research", Soil Sci. Soc. Am. J., 63(6), 1763-1768. https://doi.org/10.2136/sssaj1999.6361763x
  8. Brejda, J., Moorman, J., Smith, T.B., Karlen, J.L., Allan, D.L. and Dao, T.H. (2000), "Distribution and variability of surface soil properties at a regional scale", Soil Sci. Soc. Am. J., 64(3), 974-982. https://doi.org/10.2136/sssaj2000.643974x
  9. Burrough, P.A. (1993), "Soil variability: A late 20th century view", Soils Fertiliz., 56(5), 529-562.
  10. Christian, J.T. and Ladd, C.C. and Baecher, G.B. (1994), "Reliability applied to slope stability analysis", J. Geotech. Eng. Div., ASCE, 120(12), 2180-2207. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:12(2180)
  11. Cressie, N. (1990), "The origins of Kriging", Math. Geol., 22(3), 239-252. https://doi.org/10.1007/BF00889887
  12. Christensen, R. (2001), "Best Linear Unbiased Prediction of Spatial Data: Kriging", In: Linear Models for Multivariate, Time Series, and Spatial Data, (Ed. R. Cristensen), Springer.
  13. Davis, J.C. (2002), Statistics and Data Aanalysis in Ggeology, John Wiley & Sons, New York, NY, USA.
  14. Deutsch, C. and Journel, A. (1998), GSLIB: Geostatistical Software and User's Guide, (2nd Ed.), Oxford University Press, New York, NY, USA.
  15. Do, N.A., Oreste, P., Dias, D., Antonello, C., Djeran-Maigre, I. and Livio, L. (2014), "Stress and strain state in the segmental linings during mechanized tunneling", Geomech. Eng., Int. J., 7(1), 75-85. https://doi.org/10.12989/gae.2014.7.1.075
  16. El-Ramly, H., Morgenstern, N.R. and Cruden, D.M. (2002), "Probabilistic slope stability analysis for practice", Can. Geotech. J., 39(3), 665-683. https://doi.org/10.1139/t02-034
  17. Goovaerts, P. (1997), Geostatistics for Natural Resource Evaluation, Oxford University Press, New York, NY, USA.
  18. Griffiths, D.V. and Fenton, G.A. (2004), "Probabilistic slope stability analysis by finite elements", J. Geotech. Eng. Div., ASCE, 130(5), 507-518. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(507)
  19. Griffiths, D.V., Huang, J. and Fenton, G.A. (2009), "Influence of spatial variability on slope reliability using 2-D random fields", ASCE, J. Geotech. Geoenviron. Eng., 135(10), 1367-1378. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000099
  20. Godwin, R.J. and Miller, P.C.H. (2003), "A review of the technologies for mapping withi-field variability", Biosyst. Eng., 84(4), 393-407. https://doi.org/10.1016/S1537-5110(02)00283-0
  21. Goovaerts, P. (1998), "Geostatistical tools for characterizing the spatial variability of microbiological and physico-chemical soil properties", Biol. Fertil. Soils, 27(4), 315-334. https://doi.org/10.1007/s003740050439
  22. Gotway, C.A. and Stroup, W.W. (1997), "A generalized linear model approach to spatial data analysis and prediction", J. Agric. Biol. Environ. Statist., 2, 157-178. https://doi.org/10.2307/1400401
  23. Guarascio, M., Lombardi, M., Rossi, G. and Sciarra, G. (2009), "Geostatistics/reliability based risk analysis of the Vajont landslide", Safety and Security Engineering III, WIT Transactions on the Built Environment, 108, 607-615.
  24. Guimaraes Couto, E., Stein, A. and Klamt, E. (1997), "Large area spatial variability of soil chemical properties in central Brazil", Agric. Ecosyst. Environ., 66(2), 139-152. https://doi.org/10.1016/S0167-8809(97)00076-5
  25. Hacking, I. (1975), The Emergency of Probability: A Philosophical Study of Early Ideas about Probability, Induction and Statistical Inference, Cambridge University Press, Cambridge, UK.
  26. Harr, M.E. (1987), Reliability-Based Design in Civil Engineering, McGraw Hill.
  27. Hengl, T., Heuvelink, G.B.M. and Rossiter, D.G. (2007), "About regression-kriging: From equations to case studies", Comput. Geosci., 33(10), 1301-1315. https://doi.org/10.1016/j.cageo.2007.05.001
  28. Hicks, M.A. (2013), "An explanation of characteristic values of soil properties in Eurocode 7", In: Modern Geotechnical Design Codes of Practice, (Eds. P. Arnold, G.A. Fenton, M.A. Hicks, T. Schweckendiek and B. Simpson), IOS Press, 36-45.
  29. Hicks, M.A. and Samy, K. (2002), "Influence of anisotropic spatial variability on slope reliability", Proceedings of the 8th International Symposium on Numerical Models in Geomechanics (Eds. G.N. Pande and S. Piettruszczak), Rome, Italy, April, pp. 535539.
  30. Jaksa, M.B., Brooker, P.I. and Kaggwa, W.S. (1997), "Inaccuracies associated with estimation of random measurement errors", J. Geotech. Geoenv. Eng., ASCE, 123(5), 393-401. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:5(393)
  31. Kalenchuk, K.S., Hutchinson, D.J. and Diederichs, M.S. (2009), "Application of spatial prediction techniques to defining three-dimensional landslide shear surface geometry", Landslides, 6(4), 321-333. https://doi.org/10.1007/s10346-009-0168-1
  32. Kulhawy, F. H. (1992), "On the evaluation of soil properties", ASCE Geotech. Spec. Publ., 31, 95-115.
  33. Lacasse, S. and Nadim, F. (1996), "Uncertainties in characterizing soil properties", In: Uncertainty in the Geologic Environment: From Theory to Practice, (Eds. C.D. Shackleford, P.P. Nelson, M.J.S. Roth), ASCE Geotechnical Special Publication, 58, 49-75.
  34. Lagaros, N.D. (2014), "Risk assessment of steel and steel-concrete composite 3D buildings considering sources of uncertainty", Earthq. Struct., Int. J., 6(1), 19-43. https://doi.org/10.12989/eas.2014.6.1.019
  35. Li, K.S. and Lumb, P. (1987), "Probabilistic design of slopes", Can. Geotech. J., 24(4), 520-535. https://doi.org/10.1139/t87-068
  36. Liao, S.S.C. and Whitman, R.V. (1986), "Overburden correction factors for SPT in sand", J. Geotech. Eng., ASCE, 112(3), 373-377. https://doi.org/10.1061/(ASCE)0733-9410(1986)112:3(373)
  37. Matheron, G. (1963), "Principles of geostatistics", Econom. Geol., 58(8), 1246-1266. https://doi.org/10.2113/gsecongeo.58.8.1246
  38. Matheron, G. (1969), Le Krigeage Universel, Cahiers de Centre de Morphologie Mathematique, 1, Fontainbleau, France.
  39. Mostyn, G.R. and Li, K.S. (1993), "Probabilistic slope stability-state of play", Proceedings of the Conference on Probabilistic Methods in Geotechnical Engineering, (Eds. Li and Lo), Canberra, Australia, February, pp. 89-110.
  40. Pachepsky, Y., Radcliffe, D.E. and Selim, H.M. (2003), Scaling Methods in Soil Physics, CRC Press.
  41. Papritz, A. and Stein, A. (1999), "Spatial Prediction by Linear Kriging", In: Spatial Statistics for Remote Sensing, (Eds. A. Stein, F. van der Meer, and B. Gorte), Kluwer Academic Publishers, Dodrecht, Netherlands, pp. 83-113.
  42. Phoon, K.K. and Kulhawy, F.H. (1999a), "Characterization of geotechnical variability", Can. Geotech. J., 36(4), 612-624. https://doi.org/10.1139/t99-038
  43. Phoon, K.K. and Kulhawy, F.H. (1999b), "Evaluation of geotechnical property variability", Can. Geotech. J., 36(4), 625-639. https://doi.org/10.1139/t99-039
  44. Pyrcz, M.J. and Deutsch, C.V. (2014), Geostatistical Reservoir Modeling, Oxford University Press.
  45. Rethati, L. (1988), "Probabilistic Solutions in Geotechnics", In: Developments in Geotechnical Engineering, Elsevier, Amsterdam, Netherlands, 46 p.
  46. Rodriguez, R.F., Nicieza, C.G., Gayarre, F.L. and Lopez, F.L.R. (2015), "Application of hydraulic cylinder testing to determine the geotechnical properties of earth-filled dams", Geomech. Eng., Int. J., 9(4), 483-498.
  47. Rota, M. (2007), "Estimating uncertainty in 3D models using geostatistics", Ph.D. Thesis; European School for Advanced Studies in Reduction of Seismic Risk (Rose School), University of Pavia, Italy.
  48. Sarma, D.D. (2009), Geostatistics with Applications in Earth Sciences, (Second edition), Springer Science & Business Media, pp. 78-80.
  49. Schmertmann, J.H. (1978), "Guidelines for Cone Penetration Test, Performance and Design", Report FHWA-TS-78-209; U.S. Department of Transportation, Washington, D.C., USA.
  50. Schneider, H.R. and Schneider, M.A. (2013), "Dealing with uncertainties in EC7 with emphasis on determination of characteristic soil properties", In: Modern Geotechnical Design Codes of Practice, (Eds. P. Arnold, G.A. Fenton, M.A. Hicks, T. Schweckendiek and B. Simpson), IOS Press, pp. 87-101.
  51. Skempton, A.W. (1986), "Standard penetration test procedures and the effects in sands of overburden pressure, relative density, particle size, ageing and overconsolidation", Geotechnique, 36(3), 425-447. https://doi.org/10.1680/geot.1986.36.3.425
  52. Stein, M.L. (1999), Interpolation of Spatial Data: Some Theory for Kriging, Series in Statistics, Springer, New York, NY, USA.
  53. Stuedlein, A.W. and Holtz, R.D. (2013), "Bearing capacity of spread footings on aggregate pier reinforced clay", J. Geotech. Geoenviron. Eng. ASCE, 139(1), 49-58. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000748
  54. Sung, E.C. (2007), "Effects of spatial variability of soil properties on slope stability", Eng. Geol., 92(3), 97-109. https://doi.org/10.1016/j.enggeo.2007.03.006
  55. Tang, W.H. (1993), Recent Developments in Geotechnical Reliability, Balkema, ISBN 9054103035.
  56. Terzaghi, K. and Peck, R.B. (1948), Soil Mechanics in Engineering Practice, New York, John Wiley and Sons.
  57. Thorne, C.P. and Quine, M.P. (1993), "How Reliable are Reliability Estimates and Why Soils Engineers Rarely Use Them", In: Probabilistic Methods in Geotechnical Engineering, (Eds. Li and Lo), Balkema, Rotterdam, Netherlands. ISBN: 9054103035, 325-332
  58. Tutmez, B. and Dag, A. (2013), "Mapping water chemical variables with spatially correlated errors", Environ. Ecol. Statist., 20(1), 19-35. https://doi.org/10.1007/s10651-012-0205-4
  59. Tutmez, B. and Yuceer, M. (2013), "Regression Kriging analysis for longitudinal dispersion coefficient", Water Resour. Manage., 27(9), 3307-3318. https://doi.org/10.1007/s11269-013-0348-6
  60. Tutmez, B., Cengiz, A.K. and Sarici, D.E. (2013), "Use of uncertain numbers for appraising tensile strength of concrete", Struct. Eng. Mech., Int. J., 46(4), 447-458. https://doi.org/10.12989/sem.2013.46.4.447
  61. Uzielli, M. (2008), "Statistical analysis of geotechnical data", In: Geotechnical and Geophysical Site Characterization, (Eds. Huang and Mayne), Taylor and Francis Group.
  62. Vanmarcke, E.H. (1977a), "Probabilistic modeling of soil profiles", J. Geotech. Eng. Div., ASCE, 103(11), 1227-1246.
  63. Vanmarcke, E.H. (1977b), "Reliability of earth slopes", J. Geotech. Eng. Div., ASCE, 103(11), 1247-1265.
  64. Viscarra Rossel, R., McBratney, A. and Minasny, B. (2010), Proximal Soil Sensing, Springer Science & Business Media.
  65. Wackemagel, H. (2013), Multivariate Geostatistics: An Introduction with Applications, Springer Science & Business Media.
  66. Wu, T.H. (2009), "Reliability of Geotechnical Predictions", In: Geotechnical Risk and Safety, (Eds. Honjo et al.), Taylor and Francis Group.
  67. Yemefack, M., Rossiter, D.G. and Njomgang, R. (2005), "Multi-scale characterization of soil variability within an agricultural landscape mosaic system in southern Cameroon", Geoderma, 125(1), 117-143. https://doi.org/10.1016/j.geoderma.2004.07.007
  68. Zhu, Q. and Lin, H.S. (2010), "Comparing ordinary kriging and regression kriging for soil properties in contrasting landscapes", Pedosphere, 20(5), 594-606. https://doi.org/10.1016/S1002-0160(10)60049-5

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