Abstract
In geotechnical engineering analysis and design, the frequency and spacing of borehole information is of great interest, especially when field data are limited. This paper uses random field models to deal with uncertainty in soil properties owing to spatial variability, by analyzing in-situ cone penetration test (CPT) data from a sandy site in northern Denmark. To provide a best estimate of properties between observation points in the random field, a Kriging interpolation approach has been applied. As expected, for small correlation lengths, the estimated field quantities at intermediate locations between data points are close to the mean value of the measured results, and a high uncertainty is associated with the estimate. A longer correlation length reduces the error and implies more variation in the estimated values between the data points.
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References
ASCE Task Committee on Geostatistical Techniques in Geohydrology of the Ground Water Hydrology Committee of the ASCE Hydraulics Division. (1990). “Review of geostatistics in geohydrology. I: Basic concepts.” J. Hydraul. Eng., 612–658.
Baecher, G. B., and Christian, J. T. (2003). Reliability and statistics in geotechnical engineering, Wiley, West Sussex, England.
Baligh, M. M., Azzouz, A. S., and Martin, R. T. (1980). “Cone penetration tests offshore the Venezuelan Coast.”, Massachusetts Institute of Technology, Cambridge, MA.
DeGroot, D. J., and Baecher, G. B. (1993). “Estimating autocovariance of in-situ soil properties.” ASCE J. Geotech. Eng., 119(1), 147–166.
Delhomme, J. P. (1978). “Kriging in the hydrosciences.” Adv. Water Resour., 1(5), 251–266.
DNV (Det Norske Veritas). (2010). “Statistical representation of soil data.”, Oslo, Norway.
Fenton, G. A., and Griffiths, D. V. (2008). Risk assessment in geotechnical engineering, John Wiley and Sons, Hoboken, NJ.
Firouzianbandpey, S., Griffiths, D. V., Ibsen, L. B., and Andersen, L. V. (2014). “Spatial correlation length of normalized cone data in sand: A case study in the North of Denmark.” Can. Geotech. J., 51(8), 844–857.
Goldsworthy, J. S., Jaksa, M. B., Fenton, G. A., Kaggwa, W. S., Griffiths, D. V., and Poulos, H. G. (2007). “Effect of sample location on the reliability based design of pad foundations.” Georisk Assess. Manage. Risk Eng. Syst. Geohazards, 1(3), 155–166.
Jaksa, M. B., et al. (2005). “Towards reliable and effective site investigations.”Géotech., 55(2), 109–121.
JCSS (Joint Committee on Structural Safety). (2006). “JCSS-Cl: Probabilistic model code. Section 3.7: Soil properties.” Technical Univ. of Denmark, Denmark.
Journel, A. G., and Huijbregts, C. (1978). Mining geostatistics, Academic, London, 600.
Krige, D. G. (1951). “A statistical approach to some basic mine valuation problems on Witwatersrand.” J. Chem. Metall. Mining Soc. South Africa, 52(6), 119–139.
Luke, K. (1992). “Measuring undrained shear strength using CPT and field vane.” NGM-92: Proc., from 11. Norwesian Geotechnical meeting, Aalborg, Vol. 1, 95–100.
Lunne, T., Robertson, P. K., and Powell, J. J. M. (1997). “Cone penetration testing in geotechnical practice.” Blackie Academic/Chapman & Hall, E&FN Spon, London, 312.
Matheron, G. (1963). “Principles of geostatistics.” Econ. Geol., 58(8), 1246–1266.
Moss, R. E., Seed, R. B., and Olsen, R. (2006). “Normalizing the CPT for overburden stress.” J. Geotech. Geoenviron. Eng., 378–387.
Olea, R. A. (1991). Geostatistical glossary and multilingual dictionary, Oxford Univ. Press, New York.
Rautman, C. A., and Cromer, M. V. (1994). Three-dimensional rock characteristics models study plan: Yucca mountain site characterization plan SP 8.3.1.4.3.2, U.S. Dept. of Energy, Office of Civilian Radioactive Management, Washington, DC.
Robertson, P. K., and Wride, C. E. (1998). “Evaluating cyclic liquefaction potential using the cone penetration test.” Can. Geotech. J., 35(3), 442–459.
Rouhani, S. (1996). “Geostatistical estimation: Kriging.” Geostat. Environ. Geotech. Appl., 1283, 20–31.
Ryti, R. (1993). “Superfund soil cleanup: Developing the piazza remedial design.” J. Air Waste Manage. Assoc., 43(2), 197–202.
Tang, W. H. (1979). “Probabilistic evaluation of penetration resistance.” ASCE J. Geotech. Eng. Div., 105(GT10), 1173–1191.
Vahdatirad, M. J., Griffiths, D. V., Andersen, L. V., Sørensen, J. D., and Fenton, G. A. (2014). “Reliability analysis of a gravity based foundation for wind turbines: A code-based design assessment.” Géotechn., 64(8), 635–645.
Vanmarcke, E. (1977). “Probabilistic modeling of soil profiles.” ASCE J. Geotech. Eng. Div., 103(11), 1227–1246.
Wild, M., and Rouhani. S. (1996). “Effective use of field screening techniques in environmental investigations: A multivariate geostatistical approach.”, 88–101.
Zhang, J., Zhang, L. M., and Tang, W. H. (2011). “Kriging numerical models for geotechnical reliability analysis.” Soils Found., 51(6), 1169–1177.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 141 • Issue 12 • December 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jul 8, 2014
Accepted: Apr 29, 2015
Published online: Jun 30, 2015
Discussion open until: Nov 30, 2015
Published in print: Dec 1, 2015
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