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Redefining Soil Stabilization Strategies: A Stochastic Exploration of Nano-Modified Clays in Foundation Engineering

  • Fawzi Kh Khalaf
  • , Nur Irfah Mohd Pauzi
  • , Mohammed Y. Fattah
  • , Karim Sherif Mostafa
  • , Norbaya Sidek
  • , Mohamed A. Hafez

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This study investigates the probabilistic bearing capacity of soft clay stabilized with nanoclay, nano MgO, and nano SiO2 using Monte Carlo Simulation (MCS). A combination of triaxial and model footing tests provided the input parameters for the stochastic analysis. MCS was applied to quantify failure probability (Pf) and reliability index (β ), integrating corrected Terzaghi bearing capacity predictions through regression with experimental data. The results revealed that Nano MgO achieved the lowest Pf(4.5%) and highest β values, indicating superior strength and consistency. In contrast, Nano SiO2, despite its high deterministic performance, showed increased uncertainty with depth, while Nano Clay exhibited poor reliability (Pf> 59%). This study demonstrates that MCS provides critical insights into the variability and reliability of nano-treated soils, supporting performance-based geotechnical design under uncertainty.

Original languageEnglish
Pages (from-to)1319-1333
Number of pages15
JournalApplied Mathematics and Information Sciences
Volume19
Issue number6
DOIs
Publication statusPublished - 1 Nov 2025

Keywords

  • Load–Settlement Behavior
  • Monte Carlo Simulation (MCS)
  • Probabilistic Geotechnics
  • Terzaghi Model Correction

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