On the Hole Effect in Soil Spatial Variability
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 7, Issue 4
Abstract
A hole-effect autocorrelation function is one that is non-monotonic or pseudo-periodic as defined in the geostatistics literature. This paper shows that such an autocorrelation function (ACF) can influence the probability of failure of some geotechnical structures. As such, it is relevant to ask whether this hole effect does exist and is identifiable from the cone penetration test data. For this purpose, a novel hole-effect ACF model, called the cosine Whittle-Matérn (CosWM) model, is proposed to simultaneously identify the scale of fluctuation (SOF), sample path smoothness, and hole effect. Based on simulation examples and two real case histories, it is found that the hole effect is identifiable only if the hole effect is significant and the data record is of sufficient length. One real case history exhibits a significant hole effect, and this hole effect is successfully identified by the CosWM model. It is also found that if a monotonic ACF is adopted in place of the CosWM model for this case history, not only can the hole effect not be identified (as is to be expected) but also the SOF will be overestimated significantly.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
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© 2021 American Society of Civil Engineers.
History
Received: Nov 20, 2020
Accepted: Apr 29, 2021
Published online: Jul 16, 2021
Published in print: Dec 1, 2021
Discussion open until: Dec 16, 2021
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