Abstract
One of the most important statistical parameters in modeling the spatial correlation of soil properties in a random field is the scale of fluctuation (SoF), which is strongly affected by the sampling interval. In this study, the effect of the sampling interval on the SoF in the vertical direction was examined using cone tip resistance (qc) profiles of 70 CPT datasets. The qc data intervals in the vertical directions were 2.5 cm, 5 cm, 10 cm, 20 cm, 40 cm, 80 cm, 160 cm and 320 cm. The direct integration of sample autocorrelation function method with quadratic trend removal was adopted to determine the SoF. Variation of the calculated SoF versus the extended sampling intervals demonstrates that the SoF increases with the increase in the sampling intervals. Results show that the determined SoF values based on the geotechnical data sampling intervals up to 40 cm are presumably more reliable. Limiting the sampling interval will contribute to the preservation of important correlation information of geotechnical site investigation data.
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References
Vanmarcke EH (1977) Probabilistic modeling of soil profiles. J Geotechn Eng Div 103(11):1227–1246
Phoon K-K, Kulhawy FH (1999) Characterization of geotechnical variability. Can Geotech J 36(4):612–624
Lacasse S, Nadim F (1997) Uncertainties in characterising soil properties. Publikasjon-Norges Geotekniske Institutt 201:49–75
Fenton GA, Griffiths D (2002) Probabilistic foundation settlement on spatially random soil. J Geotechn Geoenviron Eng 128(5):381–390
Dasaka S, Zhang L (2012) Spatial variability of in situ weathered soil. Géotechnique 62(5):375
DeGroot DJ, Baecher GB (1993) Estimating autocovariance of in-situ soil properties. J Geotechn Eng 119(1):147–166
Fenton GA, Vanmarcke EH (1990) Simulation of random fields via local average subdivision. J Eng Mech 116(8):1733–1749
Fenton GA, Griffiths D (1996) Statistics of free surface flow through stochastic earth dam. J Geotechn Eng 122(6):427–436
Jamshidi Chenari R, Mahigir A (2014) The effect of spatial variability and anisotropy of soils on bearing capacity of shallow foundations. Civ Eng Infrastruct J 47(2):199–213
Jamshidi Chenari R, Kamyab Farahbakhsh H, Heidarie Golafzani S, Eslami A (2018) Non-stationary realisation of CPT data: considering lithological and inherent heterogeneity. Assessment and Management of Risk for Engineered Systems and Geohazards, Georisk, pp 1–14
Ching J, Wu S-S, Phoon K-K (2015) Statistical characterization of random field parameters using frequentist and Bayesian approaches. Can Geotech J 53(2):285–298
Wang Y, Zhao T (2016) Statistical interpretation of soil property profiles from sparse data using Bayesian compressive sampling. Géotechnique 67(6):523–536
Ching J, Phoon KK, Wu SH (2016) Impact of statistical uncertainty on geotechnical reliability estimation. J Eng Mech 142(6):04016027
Onyejekwe S, Ge L (2013) Scale of fluctuation of geotechnical parameters estimated from CPTu and laboratory test data. In: Honoring Kulhawy FH (ed) Foundation engineering in the face of uncertainty. ASCE, pp 434–443
Jamshidi Chenari R, Oloomi Dodaran R (2010) New method for estimation of the scale of fluctuation of geotechnical properties in natural deposits. Comput Methods Civ Eng 1(1):55–64
Griffiths D, Fenton G, Denavit M (2007) Traditional and advanced probabilistic slope stability analysis. In: Proc., Geo-Denver 2007 Symp, 2007. ASCE, Reston, VA, pp 1–10
Griffiths D, Huang J, Fenton G (2015) Probabilistic slope stability analysis using RFEM with non-stationary random fields| NOVA. The University of Newcastle’s Digital Repository
Jiang S-H, Li D-Q, Cao Z-J, Zhou C-B, Phoon K-K (2014) Efficient system reliability analysis of slope stability in spatially variable soils using Monte Carlo simulation. J Geotechn Geoenviron Eng 141(2):04014096
Jamshidi Chenari R, Alaie R (2015) Effects of anisotropy in correlation structure on the stability of an undrained clay slope. Georisk Assess Manag Risk Eng Syst Geohazards 9(2):109–123
Zhalehjoo N, Jamshidi Chenari R, Ranjbar Pouya K (2012) Evaluation of bearing capacity of shallow foundations using random field theory in comparison to classic methods. In: GeoCongress 2012: state of the art and practice in geotechnical engineering, pp 2971–2980
Fenton GA (1999) Random field modeling of CPT data. J Geotechn Geoenviron Eng 125(6):486–498
Eslami Kenarsari A, Jamshidi Chenari R, Eslami A (2013) Characterization of the correlation structure of residual CPT profiles in sand deposits. Int J Civ Eng 11(1):29–37
Jamshidi Chenari R, Kamyab Farahbakhsh H (2015) Generating non-stationary random fields of auto-correlated, normally distributed CPT profile by matrix decomposition method. Georisk Assess Manag Risk Eng Syst Geohazards 9(2):96–108
USGS (2018) https://www.earthquake.usgs.gov/research/cpt/data/. Accessed 19 Jul 2018
Campanella R, Robertson P, Davies M, Sy A (1989) Use of in-situ tests in pile design. In: Proceedings 12th international conference on soil mechanics and foundation engineering, ICSMFE, Rio de Janeiro, Brazil, pp 199–203
Urkkada TL (1996) Dynamic testing of piles and analysis. Final report. Urkkada Technology Ltd., Puerto Rico
Yen T-L, Lin H, Chin C-T, Wang R (1989) Interpretation of instrumented driven steel pipe piles. In: Foundation engineering: current principles and practices, 1989. ASCE Reston, VA, pp 1293–1308
Nottingham LC (1975) Use of quasi-static friction cone penetrometer data: to predict load capacity of displacement piles. University of Florida
Matsumoto T, Michi Y, Hirano T (1995) Performance of axially loaded steel pipe piles driven in soft rock. J Geotechn Eng 121(4):305–315
O’Neill M (1988) Pile group prediction symposium-summary of prediction results. FHWA, draft report
Nevels JB, Snethen DR (1994) Comparison of settlement predictions for single piles in sand based on penetration test results. In: Vertical and horizontal deformations of foundations and embankments. ASCE, pp 1028–1038
Mayne P, Harris D (1993) Axial load-displacement behavior of drilled shaft foundations in Piedmont residuum. Report prepared for FHWA, McLean, Va
Albiero J, Sacilotto A, Mantilla J, Telxeria J, Carvalho D (1995) Successive load tests on bored piles. In: Proceedings of the 10th Pan-American conference on soil mechanics and foundation Engineering, Mexico City, Mexico, pp 992–1002
Haustorfer I, Plesiotis S (1988) Instrumented dynamic and static pile load testing at two bridge sites. In: Fifth Australia-New Zealand conference on geomechanics: prediction versus performance; preprints of Papers, 1988. Institution of Engineers, Australia, p 514
Viergever MA (1982) Relation between cone penetration and static loading of piles in locally strongly varying sand layers. Rijksdienst voor de IJsselmeerpolders
Altaee A, Evgin E, Fellenius BH (1992) Axial load transfer for piles in sand. II. Numerical analysis. Can Geotech J 29(1):21–30
Altaee A, Fellenius BH, Evgin E (1992) Axial load transfer for piles in sand. I. Tests on an instrumented precast pile. Can Geotech J 29(1):11–20
Weber L (1987) Efficiency improvement of steel H-bearing piles. Arbed research, final report 7210
Briaud J-L, Moore BH, Mitchell GB (1989) Analysis of pile load tests at Lock and Dam 26. In: Foundation engineering: current principles and practices. ASCE, pp 925–942
Vanmarcke E (1983) Random fields: analysis and synthesis, p 185
Spry M, Kulhawy F, Grigoriu M (1988) Reliability-based foundation design for transmission line structures: Geotechnical site characterization strategy. Report EL-5507 (1)
Lumb P (1975) Spatial variability of soil properties. In: Proceedings of the 2nd international conference on applications of statistics and probability in civil engineering, pp 397–421
Vanmarcke EH (1978) Probabilistic characterization of soil profiles. In: Site characterization & exploration. ASCE, pp 199–219
Kenarsari E, Oloomi R, Jamshidi Chenari R, Eslami A (2011) Effect of vertical heterogeneity in soil strength on pile bearing capacity prediction from CPT data. In: Proceedings of the 36th Annual Conference on Deep Foundations, Boston, MA
Box GE, Jenkis GM (1970) Time series analysis for casting and control
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Sasanian, S., Soroush, A. & Jamshidi Chenari, R. Effect of Sampling Interval on the Scale of Fluctuation of CPT Profiles Representing Random Fields. Int J Civ Eng 17, 871–880 (2019). https://doi.org/10.1007/s40999-018-0371-3
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DOI: https://doi.org/10.1007/s40999-018-0371-3