Proceedings of the
8th International Symposium on Geotechnical Safety and Risk (ISGSR)
14 – 16 December 2022, Newcastle, Australia
Editors: Jinsong Huang, D.V. Griffiths, Shui-Hua Jiang, Anna Giacomini, Richard Kelly
doi:10.3850/978-981-18-5182-7_22-003-cd
Three-Dimensional Random Field Modeling of Soil Properties Considering Cross-Correlation
1State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China.
2University of Chinese Academy of Sciences, Beijing 100049, China.
ABSTRACT
It is widely recognized that there is spatial variability in soil properties in the geotechnical engineering. Spatially variable soils demonstrate auto-correlation of parameters, and also show significant cross-correlation between different parameters. At present, random field theory is often used to model the spatial variability of soil. However, in most studies, only two-dimensional (2D) random field is established, and there is a limitation of research on establishing three-dimensional (3D) random field. This paper aims to develop a 3D random field modeling method based on modified matrix decomposition method (M-MD) characterize the soil heterogeneity in 3D. Compared with the traditional matrix decomposition method (MD), the modified matrix decomposition considers the influence of relative distance on the cross-correlation matrix, which can more accurately reflect the cross-correlation between different soil parameters. The proposed method is applied to generate a multi-parameter 3D random field model considering cross-correlation between cohesion and friction angle. This study paves a way for future safety and risk assessment considering cross-correlation in geotechnical engineering.
Keywords: Spatial variability, 3D Random field, Modified matrix decomposition method, Cross-correlation structure.