Technical Papers
Jul 4, 2023

Development of Environmental Contours from Site-Specific Regression Parameters of Load–Settlement Curves for Piles: The Global Database

Publication: International Journal of Geomechanics
Volume 23, Issue 9

Abstract

A database was compiled to establish the site-specific measured load–displacement responses of piles from different sites across the globe, which contains 188 curves from 12 sites. A curve-fitting technique was applied to each measured curve by using a two-parametric power law regression modeling. For an entire construction site, the scatter in the load–displacement behavior of multiple curves was incorporated in the uncertainty of the regression pairs. Consequently, environmental contours for regression pairs were developed by using the Nataf transformation or a normal copula. Such a contour was generated to quantify the uncertainty in the regression pairs in which the target reliability index of piles is specified, as demonstrated in various cases with two, three, and four variables. Most importantly, the environmental contour bounded by the serviceability limit state of piles at each site was presented and the reliability index was solved through an evolution of the environmental contours. The computed reliability index of the bearing resistance for piles was compared with the values yielded by the geometric reliability analysis and the first-order reliability method (FORM). Since the reliability index was solved in the original physical variable space, it made the reliability theory easy to understand. Such a site-specific reliability assessment of piles could be helpful for a practical project to implement quality control during the construction of pile foundations.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data reported in this study are available from the corresponding author upon reasonable request.
This research was partially supported by the Hebei Natural Science Foundation of China (Grant No. E2019201296), the Key Project of Science and Technology Research in Colleges and Universities of Hebei Province (Grant No. ZD2018216), the Advanced Talents Incubation Program of the Hebei University (Grant No. 801260201262), and the Youth Project of Science and Technology Research in Colleges and Universities of Hebei Province (Grant No. QN2023173). The authors also greatly appreciate the investigators who generously made their source data on pile-load tests publicly available. Two anonymous reviewers are acknowledged for their revisions, which greatly helped improve the manuscript.

References

Akaike, H. 1974. “A new look at the statistical model identification.” IEEE Trans. Autom. Control 19 (6): 716–723. https://doi.org/10.1109/tac.1974.1100705.
Baarholm, G. S., S. Haver, and O. D. Økland. 2010. “Combining contours of significant wave height and peak period with platform response distributions for predicting design response.” Mar. Struct. 23: 147–163. https://doi.org/10.1016/j.marstruc.2010.03.001.
Brandl, H. 2005. “Cyclic preloading of piles to minimize differential settlements of high-rise buildings.” Slovak J. Civ. Eng. XIII (3): 1–12.
Ching, J., and K. K. Phoon. 2013. “Quantile value method versus design value method for calibration of reliability-based geotechnical codes.” Struct. Saf. 44: 47–58. https://doi.org/10.1016/j.strusafe.2013.04.003.
Dithinde, M., K. K. Phoon, M. De Wet, and J. V. Retief. 2011. “Characterization of model uncertainty in the static pile design formula.” J. Geotech. Geoenviron. Eng. 137 (1): 70–85. https://doi.org/10.1061/(asce)gt.1943-5606.0000401.
Evangelista, A., A. Pellegrino, and C. Viggiani. 1977. “Variability among piles of the same foundation.” In Proc., 9th Int. Conf. on Soil Mechanics and Foundation Engineering, 493–500. Rotterdam, Netherlands: A. A. Balkema.
Haselsteiner, A. F., M. Frieling, E. Mackay, A. Sander, and K. Thoben. 2022. “Long-term extreme response of an offshore turbine: How accurate are contour-based estimates.” Renewable Energy 181: 945–965. https://doi.org/10.1016/j.renene.2021.09.077.
Hasofer, A. M., and N. C. Lind. 1974 “Exact and invariant second-moment code format.” J. Eng. Mech. 100 (1): 111–121. https://doi.org/10.1061/JMCEA3.0001848.
HHET (Hebei Huayu Engineering Testing). 2018. Testing for prestressed high-strength concrete pipe piles in Hebei Hongyu Tianxi garden. [In Chinese.] Hejian, China: HHET.
HHET (Hebei Huayu Engineering Testing). 2019. Testing for prestressed concrete pipe piles in Hebei Hongyu Jiuxitai residential community. [In Chinese.] Hejian, China: HHET.
HHET (Hebei Huayu Engineering Testing). 2020. Testing for cement fly-ash gravel (CFG) piles in Hebei Hongyu Ziyuntai residential community. [In Chinese.] Cangzhou, China: HHET.
HJCT (Hebei Jicang Construction Technology). 2018. Testing for piles in Hebei Hongyu Longxiyuan residential community. [In Chinese.] Nanpi, China: HJCT.
HJCT (Hebei Jicang Construction Technology). 2019. Testing for foundation piles in the workshop of Hebei high-end equipment manufacturing hub. [In Chinese.] Cangzhou, China: HJCT.
Huffman, J. C., and A. W. Stuedlein. 2014. “Reliability-based serviceability limit state design of spread footings on aggregate pier reinforced clay.” J. Geotech. Geoenviron. Eng. 140 (10): 04014055. https://doi.org/10.1061/(asce)gt.1943-5606.0001156.
Karlsrud, K. 2013. Summary and evaluation of pile test results. NGI Rep: Time effects on pile capacity.Oslo, Norway: Norwegian Geotechnical Institute.
Li, D. Q., X. S. Tang, K. K. Phoon, Y. F. Chen, and C. B. Zhou. 2013. “Bivariate simulation using copula and its application to probabilistic pile settlement analysis.” Int. J. Numer. Anal. Methods Geomech. 37 (6): 597–617. https://doi.org/10.1002/nag.1112.
Li, Q., Z. Gao, and T. Moan. 2016. “Modified environmental contour method for predicting long-term extreme responses of bottom-fixed offshore wind turbines.” Mar. Struct. 48: 15–32. https://doi.org/10.1016/j.marstruc.2016.03.003.
Low, B. K., and W. H. Tang. 2007. “Efficient spreadsheet algorithm for first-order reliability method.” J. Eng. Mech. 133 (12): 1378–1387. https://doi.org/10.1061/(asce)0733-9399(2007)133:12(1378).
Lu, S., J. Zhang, H. Xu, and Y. Zhang. 2019. “Test and research for key technology of cast-in-place pile construction in the area of silt-rock fill layer.” Int. J. Mechatron. Appl. Mech. 1 (6): 203–212. https://doi.org/10.17683/ijomam/issue6.20.
Mahakhotchasenichai, K., N. Phien-wej, K. C. Chao, and T. Boonyarak. 2018. “Evaluation of a pile design method using the results of static load tests for a double track railway project.” In Proc., 23rd National Convention on Civil Engineering. Pathum Thani, Thailand: Asian Institute of Technology.
MOHURD (Ministry of Housing and Urban–Rural Development). 2014. Building foundation inspection technical specification. [In Chinese.] JGJ106-2014. Beijing: MOHURD.
Montes-Iturrizaga, R., and E. Heredia-Zavoni. 2016. “Multivariate environmental contours using C-vine copulas.” Ocean Eng. 118: 68–82. https://doi.org/10.1016/j.oceaneng.2016.03.011.
Najjar, S., G. Saad, and Y. Abdallah. 2017. “Rational decision framework for designing pile-load test programs.” Geotech. Test. J. 40 (2): 302–316. https://doi.org/10.1520/gtj20160088.
Nataf, A. 1962. “Détermination des distributions de probabilité dont les marges sontdonnées.” C. R. Acad. Sci. 225: 42–43.
Nelsen, R. B. 2006. An introduction to copulas. 2nd ed. New York: Springer.
Phoon, K. K., and F. H. Kulhawy. 2008. “Serviceability-limit state reliability-based design.” In Reliability-based design in geotechnical engineering: Computations and applications, edited by K.-K. Phoon, 344–384. London: Taylor & Francis.
Roberts, L. A., A. Misra, and S. M. Levorson. 2008. “Practical method for load and resistance factor design (LRFD) of deep foundations at the strength and service limit states.” Int. J. Geotech. Eng. 2: 355–368. https://doi.org/10.3328/ijge.2008.02.04.355-368.
Rosenblatt, M. 1952. “Remarks on a multivariate transformation.” Ann. Math. Stat. 23: 470–472. https://doi.org/10.1214/aoms/1177729394.
Saranyasoontorn, K., and L. Manuel. 2005. “On assessing the accuracy of offshore wind turbine reliability-based design loads from the environmental contour method.” Int. J. Offshore Polar Eng. 15 (2): 132–140.
Schneider, H. R. 1993. “Definition and determination of characteristic soil properties.” In Vol. 4 of Proc., 14th Int. Conf. on Soil Mechanics and Foundation Engineering, 2271–2274. Rotterdam, The Netherlands: A. A. Balkema.
Silva-González, F., E. Heredia-Zavoni, and R. Montes-Iturrizaga. 2013. “Development of environmental contours using Nataf distribution model.” Ocean Eng. 58: 27–34. https://doi.org/10.1016/j.oceaneng.2012.08.008.
Sun, H. W., W. H. Chang, Z. C. Gong, and Y. Wang. 2014. “Calculation and analysis of piled raft foundation interaction of China ZUN Tower.” [In Chinese.] Build. Struct. 44 (20): 109–114.
Tang, C., and K. K. Phoon. 2021. Model uncertainties in foundation design. London: CRC Press, Taylor & Francis.
Tawfik, M. M., J. Löschner, and Y. M. El-Mossallamy. 2015. “Characteristic estimate of pile bearing capacity from pile load tests on socketed drilled shafts in weathered rock.” Int. J. Geotech. Eng. 9 (2): 201–208. https://doi.org/10.1179/1939787914Y.0000000056.
Uzielli, M., and P. W. Mayne. 2012. “Load-displacement uncertainty of vertically loaded shallow footings on sands and effects on probabilistic settlement estimation.” Georisk: Assess. Manage. Risk Eng. Syst. Geohazards 6 (1): 50–69. https://doi.org/10.1080/17499518.2011.626333.
Vardanega, P. J., J. J. Crispin, C. E. L. Gilder, E. Voyagaki, K. Ntassiou, K. G. Higgins, D. G. Ainsworth, and T. A. S. Osman. 2021. “Dingo: A pile load test database.” In Proc., Piling 2020 Conf., edited by K. G. Higgins, Y. Ainsworth, D. G. Toll, and A. S. Osman, 229–234. London: ICE Publishing.
Videiro, P. M., J. S. M. Giraldo, F. J. M. de Sousa, C. M. P. M. dos Santos, and L. V. S. Sagrilo. 2019. “Long-term analysis using a scatter diagram key region to evaluate the extreme response of steel risers.” Mar. Struct. 64: 322–340. https://doi.org/10.1016/j.marstruc.2018.11.011.
Wang, Y., and H. W. Sun. 2013. “Geotechnical analysis of piled raft foundation of CBD-Z15 super high-rise building in Beijing.” [In Chinese.] Build. Struct. 43 (17): 134–139.
Winterstein, S. R., T. C. Ude, C. A. Cornell, P. Bjerager, and S. Haver. 1993. “Environmental parameters for extreme response: Inverse FORM with omission factors.” In Proc., 6th Int. Conf. on Structural Safety and Reliability. Rotterdam, The Netherlands: A. A. Balkema.
Wu, X. Z. 2015. “Geometric reliability analysis applied to wave overtopping of sea defences.” Ocean Eng. 109: 287–297. https://doi.org/10.1016/j.oceaneng.2015.09.010.
Wu, X. Z. 2017. “Implementing statistical fitting and reliability analysis for geotechnical engineering problems in R.” Georisk: Assess. Manage. Risk Eng. Syst. Geohazards 11 (2): 173–188. https://doi.org/10.1080/17499518.2016.1201577.
Wu, X. Z., Y. Chen, and K. Z. Fang. 2023. “Interpretation of site-specific reliability index for piles using multiple bidirectional tests.” J. Test. Eval. 51 (2): 784–802. https://doi.org/10.1520/JTE20220338.
Wu, X. Z., H. Liu, and R. K. Wang. 2022. “Determination of geometric reliability index of piles at site-specific scale: Case studies.” Geotech. Eng. 176 (2): 118–131. https://doi.org/10.1680/jgeen.20.00204.
Wu, X. Z., and J. X. Xin. 2019. “Probabilistic analysis of site-specific load-displacement behaviour of cement-fly ash-gravel piles.” Soils Found. 59 (5): 1613–1630. https://doi.org/10.1016/j.sandf.2019.07.003.
Wu, X. Z., and J. X. Xin. 2021. “Geometric reliability analysis of composite foundations comprising cement-fly ash-gravel piles at site-specific scale.” J. Test. Eval. 49 (4): 2779–2799. https://doi.org/10.1520/jte20200025.
Yang, Z., R. Jardine, W. Guo, and F. Chow. 2015. A comprehensive database of tests on axially loaded piles driven in sand. Zhejiang, China: Zhejiang University Press.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 9September 2023

History

Received: Sep 1, 2022
Accepted: Mar 25, 2023
Published online: Jul 4, 2023
Published in print: Sep 1, 2023
Discussion open until: Dec 4, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

College of Civil Engineering and Architecture, Hebei Univ., 2666 East Qiyi Rd., Baoding, Hebei 071002, China (corresponding author). ORCID: https://orcid.org/0000-0003-3072-2592. Email: [email protected]
He Liu
Infrastructure Office, National Police Univ. for Criminal Justice, 103 Centre Qiyi Rd., Baoding, Hebei, 071000, China.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share