Reliability Assessment of Bored Pile Foundations using a Probabilistic Approach based on SPT Data -
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Abstract
Deep foundations perform an important role in supporting structural loads and transferring them to deeper and stronger soil layers. The soil parameters used in geotechnical design practice are commonly obtained from field tests, such as the Standard Penetration Test (SPT), which exhibit a high degree of uncertainty due to variations in soil conditions, testing procedures, and data interpretation. These uncertainties significantly influence the reliability of deep foundation design. Such study aims to evaluate the reliability of bored pile foundations and determine their safety level based on SPT data from five boreholes at various depths using a probabilistic approach. The Monte Carlo simulation method was employed to model the variability of soil strength, determine the reliability index (β), and estimate the probability of failure (Pf). The analysis results show that although the deterministic safety factor (SF ≥ 1) indicates a safe condition, the probabilistic analysis reveals that the system still has a failure probability of approximately 48% and a reliability level of only about 52%, indicating a marginal state. The reliability index limit (β = 0.05) serves as a minimum threshold separating safe and unsafe conditions. Increasing the pile diameter significantly improves the reliability index and reduces the failure probability, demonstrating a strong correlation between design parameters and reliability performance. Overall, the findings highlight that the deterministic approach alone cannot adequately capture soil parameter uncertainty, and reliability-based design (RBD) provides a more realistic and quantitative framework for assessing foundation safety in geotechnical engineering.
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[2] X. Z. C. Liu and Y. Li, “Influence of Correlation Distance of Soil Parameters on the Failure Probability of Pile Foundations,” Sustainability, vol. 15, no. 5, p. 4298, 2023.
[3] H. Liu et al, “Analysis of the Vertical Bearing Capacity of Pile Foundations in Backfill Soil Areas Based on Non-Stationary Random Field,” Buildings, vol. 15, 2025.
[4] L. Sadik et al, “Region-Specific CPT-SPT Correlations for Cohesionless Soils: A Hierarchical Bayesian Approach,” Int. J. Geomech., 2025.
[5] K.-K. Phoon and F. H. Kulhawy, “Characterization of geotechnical variability,” Can. Geotech. J., vol. 36, no. 4, pp. 612–624, 1999.
[6] S. K. Suman, A. Burman, and S. S. Choudhary, “Probabilistic analysis of pile foundations using Monte Carlo and Subset simulations compared with FOSM-based hybrid ANN paradigm,” 2024.
[7] A. Tombari, L. Stefanini, G. L. D. Nicosia, L. M. J. Holland, and M. Dobbs, “Geotechnical data-driven possibility reliability assessment,” Comput. Geotech., vol. 185, no. April, p. 107311, 2025, doi: 10.1016/j.compgeo.2025.107311.
[8] X. Bian et al, “Reliability-Based Design of Driven Piles Considering Setup Effects,” Appl. Sci., vol. 11, no. 18, p. 8609, 2021.
[9] R. Mustafa, “Probabilistic Analysis of Pile Foundation in Cohesive Soil,” J. Ind. Eng. Intell. Appl., 2024.
[10] S. Heidarie Golafzani et al, “Reliability-based assessment of axial pile bearing capacity,” Int. J. Geotech. Eng., vol. 14, no. 1, pp. 1–15, 2020, doi: 10.1080/17499518.2019.1628281.
[11] E. Ushakova, “Reliability analysis of pile foundations: Peculiarities of consideration of uncertainties and partial factors,” E3S Web Conf., vol. 376, 2023, doi: 10.1051/e3sconf/202337603018.
[12] J. Wen, X. Chu, L. Xu, G. Yu, and L. Li, “Probabilistic pile reinforced slope stability analysis using load transfer factor considering anisotropy of soil cohesion,” Eng. Reports, vol. 6, no. 6, pp. 1–15, 2024, doi: 10.1002/eng2.12877.
[13] Peiyuan Lin, “Performance of reliability-based design formats in geotechnical applications,” Rock Mech. Bull., vol. 2, no. 6, 2022, doi: DOI: 10.1016/j.rockmb.2022.100025.
[14] C. G. Nogueira, H. S. Boni, and H. L. Giacheti, “Probabilistic Analysis of Bored Pile Foundations in the Design Phase: An Application Example,” Geotech. Geol. Eng., vol. 40, no. 1, pp. 335–353, 2022, doi: 10.1007/s10706-021-01893-x.
[15] K. Winkelmann, K. Żyliński, and J. Górski, “Probabilistic analysis of settlements under a pile foundation of a road bridge pylon,” Soils Found., vol. 61, no. 1, pp. 80–94, 2021, doi: 10.1016/j.sandf.2020.11.001.
[16] O. E. Oluwatuyi and K. Ng, “Improved resistance prediction and reliability for bridge pile foundation in shales through optimal site investigation plans,” Reliab. Eng. Syst. Saf., vol. 239, 2023, doi: https://doi.org/10.1016/j.ress.2023.109476.
[17] H. Yao, L. Ma, Z. Duan, and W. Guo, “Reliability analysis of the cast-in-place bored pile with different defects,” Front. Built Environ., vol. 10, no. February, pp. 1–11, 2024, doi: 10.3389/fbuil.2024.1337986.
[18] M. Decourt, “PT-based design of foundations,” Geotech. Eng. J., vol. 51, no. 4, pp. 299–310, 2019.
[19] Josep E. Bowles, Foundation Analysis and Design, 5th ed. Jakarta Indonesia: McGraw-Hill, 2022.
[20] Standar Nasional Indonesia SNI 8460:2017, Persyaratan Perancangan Geoteknik. BSN, 2017.

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