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Article

Geotechnically Informed Monitoring-Data Fusion and Gradient-Boosted Regression for Instrumented Driven Piles

1
Ministry of Transportation of Ontario, Toronto, ON M9M 2L4, Canada
2
Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada
3
Geomechanics and Geotechnics, Institute of Geosciences, Kiel University, 24118 Kiel, Germany
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(19), 3632; https://doi.org/10.3390/math14193632
Submission received: 27 July 2026 / Revised: 21 September 2026 / Accepted: 24 September 2026 / Published: 8 October 2026
(This article belongs to the Special Issue Scientific Computing and Machine Learning in Engineering)

Abstract

Long-term monitoring can test whether pile-design assumptions remain appropriate as consolidation and soil-pile load transfer develop after construction. This study combines records from three Ontario transportation projects: Ramsayville, Locha Creek, and Nash Road. The database contains 53,218 weekly movement records, 152 sensor channels, 1714 axial-load profiles, and ten instrumented piles. Baseline-referenced axial-force changes were interpreted together with pore pressure, ground and pile movement, soil-test results, pile geometry, load tests, and construction history. Conventional total-stress and effective-stress calculations were retained as engineering baselines, while gradient-boosted models were used to examine nonlinear residuals and the relative influence of measured inputs. A bounded cross-site mobilization relation achieved an in-sample RMSE of 100.0 kN (R2=0.71) and a leave-one-site-out RMSE of 110.2 kN. In a separate Ramsayville daily forecasting analysis, a seven-day moving average outperformed LightGBM and CatBoost, showing that greater model complexity did not improve short-term prediction. The confirmed cost of the full Ramsayville research monitoring program is CAD 678,700: CAD 267,200 for the test-pile program and CAD 411,500 for the production-pile program. A reduced regional seed-site program is estimated at CAD 225,700. At Locha Creek, the project reference exceeded the conditional 95% screening value by 7.9%, equivalent in cost to 2.30 m of installed pile length, or about CAD 919 per representative 29 m pile at CAD 400/m. The corrected break-even scale is approximately 246 similar piles. No screened reduction was supported at Ramsayville or Nash Road. The results define a monitoring-to-design framework that can identify both conservative and unconservative assumptions. Any design modification must still satisfy the governing geotechnical, structural, serviceability, drivability, group, founding, durability, and reliability requirements.
Keywords: instrumented driven piles; negative shaft resistance; long-term monitoring; monitoring-informed design; gradient boosting; regional calibration; pile optimization; value of information instrumented driven piles; negative shaft resistance; long-term monitoring; monitoring-informed design; gradient boosting; regional calibration; pile optimization; value of information

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MDPI and ACS Style

Sangiuliano, T.; Zaid, M.; Rizvi, Z.; Basu, D. Geotechnically Informed Monitoring-Data Fusion and Gradient-Boosted Regression for Instrumented Driven Piles. Mathematics 2026, 14, 3632. https://doi.org/10.3390/math14193632

AMA Style

Sangiuliano T, Zaid M, Rizvi Z, Basu D. Geotechnically Informed Monitoring-Data Fusion and Gradient-Boosted Regression for Instrumented Driven Piles. Mathematics. 2026; 14(19):3632. https://doi.org/10.3390/math14193632

Chicago/Turabian Style

Sangiuliano, Tony, Mohammad Zaid, Zarghaam Rizvi, and Dipanjan Basu. 2026. "Geotechnically Informed Monitoring-Data Fusion and Gradient-Boosted Regression for Instrumented Driven Piles" Mathematics 14, no. 19: 3632. https://doi.org/10.3390/math14193632

APA Style

Sangiuliano, T., Zaid, M., Rizvi, Z., & Basu, D. (2026). Geotechnically Informed Monitoring-Data Fusion and Gradient-Boosted Regression for Instrumented Driven Piles. Mathematics, 14(19), 3632. https://doi.org/10.3390/math14193632

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