Probability Analysis of Embankment on Soft Soil
DOI:
https://doi.org/10.14295/vetor.v30i1.12905Keywords:
Soft soil, Deterministic Methods, Probabilistic Methods, Failure ProbabilityAbstract
No model correctly predicts a given system's reality, so that the engineering calculations have uncertainties, which may cause several kinds of errors. The constructions on soft clay deposits present a high difficulty due to such soil's high compressibility and low resistance. The geotechnical designs of embankments on soft soils are traditionally analyzed using a global safety factor obtained through deterministic methods, not incorporating the calculation's inherent uncertainties. On the other hand, the probabilistic approach makes it possible to quantify the uncertainties arising from the parameters' variability and the more comprehensive assessment of the expected safety level for the work through the probability of failure. In this way, it is possible to untie the idea that high safety factor values always guarantee safer projects. In this context, this study aims to compare the solutions obtained by the Probabilistic Methods of Rosenblueth, Monte Carlo, Latin Hypercube, and First Order Second Moment (FOSM), in addition to evaluating the results by means of a deterministic approach using the methods of Bishop Simplified, Janbu Simplified, Spencer and Morgenstern & Price. Stability analyses were performed using the Slide v.6 computational tool. The analyses show the importance of introducing the coefficient of variation in the parameters since the uncertainty directly affects the level of performance expected for the work.
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References
Lumb, P., “The variability of natural soils,” Canadian Geotechnical Journal, vol. 3, no. 2, pp. 74-97, 1966. Disponível em: https://doi.org/10.1139/t66-009.
Ang, A.H-S, e Tang, W. H., “Probability Concepts in Engineering Planning and Design: Basic Principles”. 1 ed., New York,United States, Johm Wiley & Sons. 1975.
Assis, A. P., “Risk management for geotechnical structures: consolidating theory into practice,” Soil and Rocks, vol. 43, no. 3, pp. 311-336, 2020. Disponível em: https://doi.org/10.28927/SR.433311.
Phoon. K. K., e Kulhawy. F. H., “Characterization of geotechnical variability,” Canadian Geotechnical Journal, vol. 36, no. 4, pp. 612-624, 1999a. Disponível em: https://doi.org/10.1139/t99-038.
Phoon. K. K., e Kulhawy. F. H., “Evaluation of geotechnical variability,” Canadian Geotechnical Journal, vol. 36, no. 4, pp. 625-639, 1999b. Disponível em: https://doi.org/10.1139/t99-039.
Duncan, M., “Factors of safety and reliability in geotechnical engineering,” Journal of Geotechnical and Geoenvironmental Engineering, vol. 126, no. 4, pp. 307-16, 2000. Disponível em: https://doi.org/10.1061/(ASCE)1090-0241(2000)126:4(307).
U. S Army Corps Engineers, Introduction to probability and reliability methods for use in geotechnical engineering, Department of the Army, Washington, United States, 1997.
Rosenblueth, E., “Point Estimates for Probability Moments,” Proceedings of the National Academy of Sciences of the United States of America, vol. 72, no. 10, pp. 3812-3814, 1975. Disponível em: https://doi.org/10.1073/pnas.72.10.3812.
Maia, J. A. C., “Modelagem Probabilística da Zona Plástica de Obras Subterrâneas em Meios Rochosos”, Tese de Doutorado, Programa de Pós-Graduação em Geotecnia, Universidade de Brasília, Brasília, Brasil, 2007. Disponível em: https://repositorio.unb.br/.
Harr, M. E., “Reliability Based Design in Civil Engineering”, 1 ed, McGraw-Hill. New York, United States, 1987.
Robertson, P. K., “Soil classification using the cone penetration test,” Canadian Geotechnical Journal, vol. 27, no. 1, pp. 151-158, 1990. Disponível em: https://doi.org/10.1139/t90-014.
Schnaid, F., e Odebrecht, E., “Ensaios de Campo e suas Aplicações à Engenharia de Fundações”, 2 ed., São Paulo, Brasil. Oficina de Textos. 2012.
Sandroni, S. S., Sayão, A. S. F., “The Use of Relative Probability of Failure in the Design of Open Pit Mine Slopes”, Innovative Mine Design for the 21st Century, pp. 21-24, 1993.
Assis, A. P., Espósito, T. J., Gardoni, M. G., Silva, P. D. E. A., e Maia, J.A.C., “Métodos Estatísticos e Probabilísticos em Geotecnia”, Apostila do curso de Pós-Graduação em Geotecnia, Universidade de Brasília, Brasília, Brasil, 2012.