Periodic random fields to perform site response and liquefaction susceptibility analysis

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Free-field site response analysis is a standard technique used to predict soil deposit dynamic response and liquefaction susceptibility. Such analyses are typically carried out by implementing periodic boundaries to guarantee the same speed of the dynamic waves travelling across them. However, when using random fields to consider the impact of soil spatial variability there is the possibility of an inconsistency with periodic boundaries. This is due to the generation of non-identical properties at the lateral boundaries on using traditional random fields. To overcome this inconsistency, this paper proposes periodic random fields to model spatial variability by matching the periodicity at the boundaries. To investigate the significance of using the proposed approach, a heterogeneous soil deposit subjected to earthquake loading is analysed using the random finite element method. The results show that, for certain values of the horizontal scale of fluctuation, ensuring consistency at the lateral boundaries could result in less conservative predictions of the extent of the liquefied areas.
Original languageEnglish
Title of host publicationProceedings 10th NUMGE 2023
Subtitle of host publication10th European Conference on Numerical Methods in Geotechnical Engineering
EditorsLidija Zdravkovic, Stavroula Kontoe, David Taborda, Aikaterini Tsiampousi
PublisherInternational Society for Soil Mechanics and Geotechnical Engineering
Number of pages6
Publication statusPublished - 2023
EventNUMGE 2023: 10th European Conference on Numerical Methods in Geotechnical Engineering - Imperial College London, London, United Kingdom
Duration: 26 Jun 202328 Jun 2023


ConferenceNUMGE 2023
Country/TerritoryUnited Kingdom
Internet address


  • Periodic Random Fields
  • Site Response Analysis
  • Liquefaction
  • Tied Degrees

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