Comparison Between Two Methods for Estimating the Vertical Scale of Fluctuation for Modeling Random Geotechnical Problems

Pieczyńska-Kozłowska, Joanna M.

doi:10.1515/sgem-2015-0049

Abstract

The design process in geotechnical engineering requires the most accurate mapping of soil. The difficulty lies in the spatial variability of soil parameters, which has been a site of investigation of many researches for many years. This study analyses the soil-modeling problem by suggesting two effective methods of acquiring information for modeling that consists of variability from cone penetration test (CPT). The first method has been used in geotechnical engineering, but the second one has not been associated with geotechnics so far. Both methods are applied to a case study in which the parameters of changes are estimated. The knowledge of the variability of parameters allows in a long term more effective estimation, for example, bearing capacity probability of failure.

References

[1] Alonso E., Krizek R.J., Stochastic formulation of soil properties, Proc. 2^nd Int. Conf. on Appl. of Statistics and Probability in Soil and Struct. Eng., Aachen; 1975, Vol. II, 9–32.
Search in Google Scholar
[2] Baecher G.B., Christian J.T., Reliability and Statistics in Geotechnical Engineering, West Sussex, John Wiley & Sons; 2003.
Search in Google Scholar
[3] Bagińska I., Kupis R., Pochrań Z., Badania sonda statyczna CPTU gruntu nasypowego oraz rodzimego celem analizy stanu i odkształacalności nasypu, Politechnika Wrocławska, Instytut Geotechniki i Hydroechniki, Raport Serii U 18/12, 2012.
Search in Google Scholar
[4] Campanella R.G., Wickremesinghe D., Robertson P.K., Statistical Treatment of Cone Penetration Test Data, Proceedings of the 5th International Conference on Application of Statistics and Probability in Soil and Structure, Vancouver, edited by DL. Blochley, 1011–1019, Vancouver, BC. 1987.
Search in Google Scholar
[5] Cao Z., Wang Y., Bayesian model comparison and selection of spatial correlation functions for soil parameters, Structural Safety, 10.1016/j.strusafe.2013.06.003, 10-17.
Search in Google Scholar
[6] Degroot D.J., Baecher G.B., Estimating Autocovariance of In-situ Soil Properties, Journal of the Geotechnical Engineering Division, ASCE 1993; 119(1): 147–166. DOI: 10.1061/(ASCE)0733-9410(1993)119:1(147).10.1061/(ASCE)0733-9410(1993)119:1(147)
Search in Google Scholar
[7] Fenton G.A., Estimation for Stochastic Soil Models, Journal of the Geotechnical Engineering Division, ASCE 1999, 125(6), 470–485. DOI: 10.1061/(ASCE)1090-0241(1999)125:6(470).10.1061/(ASCE)1090-0241(1999)125:6(470)
Search in Google Scholar
[8] Fenton G.A., Griffiths D.V., Risk assessment in geotechnical engineering, John Wiley & Sons, Hoboken, N.J., 2008.10.1002/9780470284704
Search in Google Scholar
[9] Hicks M.A., Onisiphorou C., Stochastic Evaluation of Static Liquefaction in a Predominantly Dilative Sand Fill, Geotechnique, 2005, 55(2), 123–133. DOI: 10.1680/GEOT.2005.55.2.123.10.1680/geot.2005.55.2.123
Search in Google Scholar
[10] Jaksa M.B., Kaggwa W.S., Brooker P.I., Geostatistical Modeling of the Undrained Shear Stength of Stiff, Overconsolidated, Clay, Proceedings of Conference on Probabilistic Methods in Geotechnical Engineering, Canberra, eddited by KS. Li and SCR. Lo, Rotterdam, Brookfield, A.A. Balkema, 1993, 185–194.10.1201/9781003077749-16
Search in Google Scholar
[11] Lloret M.M.A., Hicks M.A., Wong S.Y., Soil Characterisation of an Artificial Island Accounting for Heterogeneity, Proceedings of GeoCongress 2012, San Francisco, ed. by Hryciw R.D., Athanastopoulos-Zekkos A. and Yesiller N., 2816–2825. Reston: ASCE.10.1061/9780784412121.288
Search in Google Scholar
[12] Lloret-Cabot M.M.A., Hicks M.A., Nuttall J.D., Investigating the Scales of Fluctuation of an Artificial Sand Island, Proceedings of the International Conference, Geotechnical Installations in Geotechnical Engineering, 2013, Rotterdam, edited by M.A. Hicks, J. Dijkstra, M. Lloret-Cabot, and M. Karstunen, 192–197. Rotterdam: CRC Press Taylor and Francis Group.
Search in Google Scholar
[13] Lloret-Cabot M.M.A., Fenton G.A., Hicks M.A., On the estimation of scale of fluctuation in geostatistics, Georisk: 2014 Assessment and Management of Risk for Engineered Systems and Geohazards, DOI: 10.1080/17499518.2013.871189.10.1080/17499518.2013.871189
Search in Google Scholar
[14] Lumb P., The variability of natural soils, Canadian Geotechnical Journal, 1966, 3(2), 74–97.10.1139/t66-009
Search in Google Scholar
[15] Lumb P., Safety factors and the probability distributions of soil strength, Canadian Geotechnical Journal, 1970, 7(3), 225–242.10.1139/t70-032
Search in Google Scholar
[16] Lumb P., Spatial variability of soil properties, Proc. 2nd Int. Conf. on Appl. of Statistics and Probability in Soil and Struct. Eng. (ICASP) Aachen, 1975, Vol. II, 397–422.
Search in Google Scholar
[17] Puła W., Zastosowanie teorii niezawodności konstrukcji do oceny bezpieczeństwa fundamentów, Oficyna Wydawnicza Politechniki Wrocławskiej, Wrocław 2004.
Search in Google Scholar
[18] Rice S., Matematical Analysis of Random Noise, Bell System Technical Journal, 1944, 25 (3–4).10.1002/j.1538-7305.1944.tb00874.x
Search in Google Scholar
[19] Schultze E., Frequency distributions and correlations of soil properties, [in:] P. Lumb (ed.), Proc. 1st Int. Conf. on Appl. of Statistics and Probability in Soil and Struct. Eng. (ICASP), Hong-Kong. University Press, Hong-Kong 1972, 372–387.
Search in Google Scholar
[20] Stuedlein A.W., Kramer S.L., Arduino P., Holtz R.D., Geotechnical Characterization and Random Field Modeling of Desiccated Clay, Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2012, 1301-1313. DOI: 10.1061/(ASCE)GT.1943-5606.0000723.10.1061/(ASCE)GT.1943-5606.0000723
Search in Google Scholar
[21] Uzielli M., Vannucchi G., Phoon K.-K., Random Field Characterisation of Stress-normalised Cone Penetration Testing Parameters, Geotechnique, 2005, 55(1), 3–20, DOI: 10.1680/geot.2005.55.1.3.10.1680/geot.2005.55.1.3
Search in Google Scholar
[22] Vanmarcke E.H., Probabilistic Modeling of Soil Profiles, Journal of the Geotechnical Engineering Division, ASCE 1977a, 103(GT11), 1227–1246.10.1061/AJGEB6.0000517
Search in Google Scholar
[23] Vanmarcke E.H., Reliability of earth slopes, Journal of Geotechnical Division, ASCE 1977b; 103(GT11), 1247–1265.10.1061/AJGEB6.0000518
Search in Google Scholar
[24] Vanmarcke E.H., Random Fields – Analysis and Synthesis, Cambridge, MIT Press, 1983.
Search in Google Scholar
[25] Vessia G., Casini F., Springman S., Mechanical characterisation of lacustrine clay by interpreting spatial variability in CPTU measurements, Proc. 11th Int. Conf. on Appl. of Statistics and Probability in Soil and Struct. Eng. (ICASP), Zurich 2011.10.1201/b11332-437
Search in Google Scholar
[26] Wackernagel H., Multivariate Geostatistics: An Introduction with Applications, Germany, Springer, 2003.10.1007/978-3-662-05294-5
Search in Google Scholar
[27] Wickremesinghe D., Camapanella R.G., Scale of Fluctuation as a Descriptor of Soil Variability, Proceedings of Conference on Probabilistic Methods in Geotechnical Engineering, Canberra, K.S. Li, S.-C.R. Lo (eds.), 233–239, A.A. Balkema, Rotterdam 1993.10.1201/9781003077749-22
Search in Google Scholar

Comparison Between Two Methods for Estimating the Vertical Scale of Fluctuation for Modeling Random Geotechnical Problems

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