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2021 | OriginalPaper | Buchkapitel

The Uncertainty of Geological Systems in Geotechnical Calculations

verfasst von: Igor Fomenko, Daria Shubina, Konstantin Kurguzov, Denis Gorobtsov

Erschienen in: Developments in Sustainable Geomaterials and Environmental Geotechnics

Verlag: Springer International Publishing

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Abstract

Modeling processes of a very different nature as a rule is concerned with the problem of approximation, inaccuracy and incompleteness of data on the simulated system, with its uncertainty. The concept of uncertainty is closely related to the concepts of heterogeneity and variability. In this study the measure of uncertainty is the correlation distance, which is defined as the length, within which the soil mass is assumed to be homogeneous. The study and analysis of uncertainty is reduced to two tasks: the construction of the uncertainty design model with a quantitative description of various aspects and the subsequent consideration of this model in stochastic calculations. To solve these problems a random limiting equilibrium method (RLEM) was used on the example of the dam stability assessment. An analysis of the results showed that under conditions of uncertainty of geotechnical system safety factor (Fs) is not a reliable parameter characterizing the dam slopes stability. With an increase in the heterogeneity of the soils composing the dam body Fs does not change, however, the probability of destruction increases. Also, the effect of heterogeneity on the slope stability is established in this work. With an increase in heterogeneity the Fs doesn’t change, but the reliability of the dam decreases.
Literatur
1.
Zurück zum Zitat Fenton, G.A., Griffiths, D.V.: Risk Assessment in Geotechnical Engineering, vol. 461. John Wiley & Sons, New York (2008) CrossRef Fenton, G.A., Griffiths, D.V.: Risk Assessment in Geotechnical Engineering, vol. 461. John Wiley & Sons, New York (2008) CrossRef
2.
Zurück zum Zitat Fenton, G.A., Vanmarcke, E.H.: Simulation of random fields via local average subdivision. J. Eng. Mech. 116(8), 1733–1749 (1990) CrossRef Fenton, G.A., Vanmarcke, E.H.: Simulation of random fields via local average subdivision. J. Eng. Mech. 116(8), 1733–1749 (1990) CrossRef
3.
Zurück zum Zitat Li, K.S., Lumb, P.: Probabilistic design of slopes. Can. Geotech. J. 24, 520–535 (1987) CrossRef Li, K.S., Lumb, P.: Probabilistic design of slopes. Can. Geotech. J. 24, 520–535 (1987) CrossRef
4.
Zurück zum Zitat Li, D.Q., Qi, X.H., Phoon, K.K., Zhang, L.M., Zhou, C.B.: Effect of spatially variable shear strength parameters with linearly increasing mean trend on reliability of infinite slopes. Struct. Saf. 49, 45–55 (2014) CrossRef Li, D.Q., Qi, X.H., Phoon, K.K., Zhang, L.M., Zhou, C.B.: Effect of spatially variable shear strength parameters with linearly increasing mean trend on reliability of infinite slopes. Struct. Saf. 49, 45–55 (2014) CrossRef
5.
Zurück zum Zitat El-Ramly, H.: Probabilistic analyses of landslide hazards and risks: Bridging theory and practice. Ph.D. thesis, University of Alberta, Edmonton, Alta (2001) El-Ramly, H.: Probabilistic analyses of landslide hazards and risks: Bridging theory and practice. Ph.D. thesis, University of Alberta, Edmonton, Alta (2001)
6.
Zurück zum Zitat Low, B.K.: Practical probabilistic slope stability analysis. In: Proceedings, Soil and Rock America 2003, 12th Pan American Conference on Soil Mechanics and Geotechnical Engineering and 39th U.S. Rock Mechanics Symposium, M.I.T., Cambridge, Massachusetts, Verlag Glückauf GmbH Essen, vol. 2, pp. 2777–2784 (2003) Low, B.K.: Practical probabilistic slope stability analysis. In: Proceedings, Soil and Rock America 2003, 12th Pan American Conference on Soil Mechanics and Geotechnical Engineering and 39th U.S. Rock Mechanics Symposium, M.I.T., Cambridge, Massachusetts, Verlag Glückauf GmbH Essen, vol. 2, pp. 2777–2784 (2003)
7.
Zurück zum Zitat Babu, G.L.S., Mukesh, M.D.: Effect of soil variability on reliability of soil slopes. Geotechnique 54(5), 335–337 (2004) CrossRef Babu, G.L.S., Mukesh, M.D.: Effect of soil variability on reliability of soil slopes. Geotechnique 54(5), 335–337 (2004) CrossRef
8.
Zurück zum Zitat Cho, S.E.: Effects of spatial variability of soil properties on slope stability. Eng. Geol. 92, 97–109 (2007) CrossRef Cho, S.E.: Effects of spatial variability of soil properties on slope stability. Eng. Geol. 92, 97–109 (2007) CrossRef
9.
Zurück zum Zitat Cho, S.E.: Probabilistic assessment of slope stability that considers the spatial variability of soil properties. ASCE J. Geotech. Geoenviron. Eng. 136(7), 975–984 (2010) CrossRef Cho, S.E.: Probabilistic assessment of slope stability that considers the spatial variability of soil properties. ASCE J. Geotech. Geoenviron. Eng. 136(7), 975–984 (2010) CrossRef
10.
Zurück zum Zitat Hong, H., Roh, G.: Reliability evaluation of earth slopes. ASCE J. Geotech. Geoenviron. Eng. 134(12), 1700–1705 (2008) CrossRef Hong, H., Roh, G.: Reliability evaluation of earth slopes. ASCE J. Geotech. Geoenviron. Eng. 134(12), 1700–1705 (2008) CrossRef
11.
Zurück zum Zitat Wang, Y., Cao, Z.J., Au, S.K.: Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet. Can. Geotech. J. 48(1), 162–172 (2011) CrossRef Wang, Y., Cao, Z.J., Au, S.K.: Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet. Can. Geotech. J. 48(1), 162–172 (2011) CrossRef
12.
Zurück zum Zitat Javankhoshdel, S., Bathurst, R.J.: Simplified probabilistic slope stability design charts for cohesive and c-ϕ soils. Can. Geotech. J. 51(9), 1033–1045 (2014) CrossRef Javankhoshdel, S., Bathurst, R.J.: Simplified probabilistic slope stability design charts for cohesive and c-ϕ soils. Can. Geotech. J. 51(9), 1033–1045 (2014) CrossRef
14.
Zurück zum Zitat Ji, J., Liao, H.J., Low, B.K.: Modeling 2D spatial variation in slope reliability analysis using interpolated autocorrelations. Comput. Geotech. 40, 135–146 (2012) CrossRef Ji, J., Liao, H.J., Low, B.K.: Modeling 2D spatial variation in slope reliability analysis using interpolated autocorrelations. Comput. Geotech. 40, 135–146 (2012) CrossRef
15.
Zurück zum Zitat Tabarroki, M., Ahmad, F., Banaki, R., Jha, S.K., Ching, J.: Determining the factors of safety of spatially variable slopes modeled by random fields. ASCE J. Geotech. Geoenviron. Eng. 139(12), 2082–2095 (2013) CrossRef Tabarroki, M., Ahmad, F., Banaki, R., Jha, S.K., Ching, J.: Determining the factors of safety of spatially variable slopes modeled by random fields. ASCE J. Geotech. Geoenviron. Eng. 139(12), 2082–2095 (2013) CrossRef
16.
Zurück zum Zitat Dinh, T.H., Fomenko, I.K., Vyazkova, O.E., Sirotkina, O.N.: The determination of extreme floods on the protection dams’ stability (on the example of Hanoi city). Eng. Surv. J. 12(11–12), 26–34 (2018) Dinh, T.H., Fomenko, I.K., Vyazkova, O.E., Sirotkina, O.N.: The determination of extreme floods on the protection dams’ stability (on the example of Hanoi city). Eng. Surv. J. 12(11–12), 26–34 (2018)
18.
Zurück zum Zitat Fomenko, I.K., Kurguzov, K.V., Zerkal, O.V., Sirotkina, O.N.: Setting soil strength parameters for slope stability calculations. In: Geotechnics Fundamentals and Applications in Construction: New Materials, Structures, Technologies and Calculations, vol. 2 of Proceedings in Earth and Geosciences. CRC Press/Balkema Leiden, The Netherlands, pp. 59–64 (2019) Fomenko, I.K., Kurguzov, K.V., Zerkal, O.V., Sirotkina, O.N.: Setting soil strength parameters for slope stability calculations. In: Geotechnics Fundamentals and Applications in Construction: New Materials, Structures, Technologies and Calculations, vol. 2 of Proceedings in Earth and Geosciences. CRC Press/Balkema Leiden, The Netherlands, pp. 59–64 (2019)
19.
Zurück zum Zitat Vanmarcke, E.: Random Fields: Analysis and Synthesis. MIT Press, Cambridge (1983) MATH Vanmarcke, E.: Random Fields: Analysis and Synthesis. MIT Press, Cambridge (1983) MATH
20.
Zurück zum Zitat El-Ramly, H., Morgenstern, N., Cruden, D.: Probabilistic slope stability analysis for practice. Can. Geot. J. 39(3), 665–683 (2002) CrossRef El-Ramly, H., Morgenstern, N., Cruden, D.: Probabilistic slope stability analysis for practice. Can. Geot. J. 39(3), 665–683 (2002) CrossRef
21.
Zurück zum Zitat Baecher, G.B., Christian, J.T.: Reliability and Statistics in Geotechnical Engineering. John Wiley & Sons, New York (2005) Baecher, G.B., Christian, J.T.: Reliability and Statistics in Geotechnical Engineering. John Wiley & Sons, New York (2005)
22.
Zurück zum Zitat Krahn, J.: Stability modeling with SLOPE/W. An Engineering Methodology: First Edition, Revision 1. Calgary. GEO-SLOPE International Ltd., Alberta, p. 396 (2004) Krahn, J.: Stability modeling with SLOPE/W. An Engineering Methodology: First Edition, Revision 1. Calgary. GEO-SLOPE International Ltd., Alberta, p. 396 (2004)
24.
Zurück zum Zitat Morgenstern, N.R., Price, V.E.: A numerical method for solving the equations of stability of general slip surfaces. Comput. J. 4, 388–393 (1967) CrossRef Morgenstern, N.R., Price, V.E.: A numerical method for solving the equations of stability of general slip surfaces. Comput. J. 4, 388–393 (1967) CrossRef
Metadaten
Titel
The Uncertainty of Geological Systems in Geotechnical Calculations
verfasst von
Igor Fomenko
Daria Shubina
Konstantin Kurguzov
Denis Gorobtsov
Copyright-Jahr
2021
DOI
https://doi.org/10.1007/978-3-030-79647-1_8