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Title: A Comparative Assessment of the Methods-of-Moments for Estimating the Correlation Length of One-Dimensional Random Fields
Authors: Christodoulou, Panagiotis 
Pantelidis, Lysandros 
Gravanis, Elias 
Major Field of Science: Engineering and Technology
Field Category: Civil Engineering
Keywords: Slope Stability;Cone Penetration Test;Soil Heterogeneity
Issue Date: May-2021
Source: Archives of Computational Methods in Engineering, 2021, vol. 28, no. 3, pp. 1163 - 1181
Volume: 28
Issue: 3
Start page: 1163
End page: 1181
Project: ERATOSTHENES: Excellence Research Centre for Earth Surveillance and Space-Based Monitoring of the Environment 
Journal: Archives of Computational Methods in Engineering 
Abstract: Due to geological processes, soil properties vary in vertical and horizontal directions which is defined as inherent uncertainty of soil. This type of uncertainty may seriously affect the reliability of, among others, deep and shallow foundations (and in turn, of structures, such as, buildings and bridges) and earth retention and shoring systems. The inherent uncertainty of soil properties is modelled as a random field, which is described by the mean, standard deviation and scale of fluctuation (also known as correlation length, θ) of soil properties. In this paper, the effectiveness of eight methods-of-moments for estimating the correlation length θ is investigated. This is done by generating samples of one-dimensional random fields for pre-defined values of the correlation length, which is then estimated by the different methods. For each method, the influence of the sampling domain length D and sampling interval dx on the estimation of θ were investigated, and the results are quantified in the form of errors over the parameter space, defined by the dimensionless ratios D/θ and θ/dx. Through the present analysis, one is able to assess the reliability of θ estimations obtained in practice, by mapping the conditions of any given experiment i.e., sampling domain, interval and estimated correlation length, onto the parameter space. The expected error associated with each method used is also quantified. Through this analysis a comparative assessment of the methods is also obtained.
ISSN: 1886-1784
DOI: 10.1007/s11831-020-09408-2
Rights: © Springer Nature
Type: Article
Affiliation : Cyprus University of Technology 
Appears in Collections:Publications under the auspices of the EXCELSIOR H2020 Teaming Project/ERATOSTHENES Centre of Excellence

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