Multivariate probabilistic assessment of a regional database in Copenhagen

Efthymios Panagiotis*, Irene Rocchi, Varvara Zania

*Corresponding author for this work

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Abstract

Extensive research has been carried out to establish empirical equations between two geotechnical properties and in spite of the increase in correlation studies, a construction of a multivariate distribution function of more than two parameters is still rare. The objective of this study is to investigate the possibility of constructing two multivariate distribution functions, each consisting of 5 geotechnical parameters a) based on triaxial and soil classification tests and b) based on oedometer and soil classification tests in stiff over-consolidated clay till from Copenhagen. For this purpose, laboratory measurements from twenty-six sites in Copenhagen are utilized and two multivariate databases are constructed. The correlations among the ratio of deviatoric and mean effective stresses (q/p´), over-consolidation ratio (OCR), secant modulus at reference stress 100 kPa (E50ref), initial void ratio (eo) and liquid limit (LL) are investigated in multivariate model A, while multivariate model B demonstrates the correlations among oedometer modulus at 100 kPa reference stress (Eoed(ur)ref), over-consolidation ratio (OCR), permeability change index (Ck), initial void ratio (eo) and liquid limit (LL). The Nataf transformation model is used for the construction of the multivariate distributions, which are then used to simulate the correlations between geotechnical properties by generating artificial samples. Finally, the artificial samples are compared with the original database for an initial validation of the model. The constructed multivariate models obtained as a result of this study can act as prior for Bayesian updating in multivariate distribution functions when additional geotechnical tests are carried out.
Original languageEnglish
Title of host publicationProceedings of the 8th International Symposium on Deformation Characteristics of Geomaterials
Number of pages8
PublisherInternational Society for Soil Mechanics and Geotechnical Engineering
Publication date2023
Publication statusPublished - 2023
Event8th International Symposium on Deformation Characteristics of Geomaterials - University of Porto, Porto, Portugal
Duration: 3 Sept 20236 Sept 2023
Conference number: 8

Conference

Conference8th International Symposium on Deformation Characteristics of Geomaterials
Number8
LocationUniversity of Porto
Country/TerritoryPortugal
CityPorto
Period03/09/202306/09/2023

Keywords

  • Multivariate distribution
  • Nataf transformation
  • Regional database
  • Copenhagen clay till

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