Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission Technique

In this research, a series of compression tests were carried out, under oedometric conditions, on sand samples prepared with different moisture contents. In these tests, in addition to the usual measurements of the stress and deformation of the sample, a series of acoustic emission sensors were used...

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Main Authors: Gonzalo García-Ros, Danny Xavier Villalva-León, Enrique Castro, Juan Francisco Sánchez-Pérez, Julio Valenzuela, Manuel Conesa
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/19/4085
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author Gonzalo García-Ros
Danny Xavier Villalva-León
Enrique Castro
Juan Francisco Sánchez-Pérez
Julio Valenzuela
Manuel Conesa
author_facet Gonzalo García-Ros
Danny Xavier Villalva-León
Enrique Castro
Juan Francisco Sánchez-Pérez
Julio Valenzuela
Manuel Conesa
author_sort Gonzalo García-Ros
collection DOAJ
description In this research, a series of compression tests were carried out, under oedometric conditions, on sand samples prepared with different moisture contents. In these tests, in addition to the usual measurements of the stress and deformation of the sample, a series of acoustic emission sensors were used to monitor the parameters of the acoustic signals coming from inside the sample. This is a rather novel technique with great potential, but sometimes difficult to approach due to the large amount of acoustic emission data generated. In this paper, a correlation and regression analysis has been performed to quantify the correlations between the geotechnical variables and the parameters characterizing the acoustic emissions. The results presented open an interesting horizon of possibilities since, as it has been shown, it is possible to determine the values of the geotechnical properties from the acoustic variables, by means of the regression functions obtained for each type of soil or for each practical case. At the very least, this is a complementary tool in the determination of the mechanical properties of soils subjected to compression, although it could also be useful in those situations in which the monitoring of geotechnical variables describing the tenso-deformational behavior of the soil may be difficult or impossible.
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spelling doaj.art-338572202f004d9dbef2a78a5f783b712023-11-19T14:43:09ZengMDPI AGMathematics2227-73902023-09-011119408510.3390/math11194085Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission TechniqueGonzalo García-Ros0Danny Xavier Villalva-León1Enrique Castro2Juan Francisco Sánchez-Pérez3Julio Valenzuela4Manuel Conesa5Civil and Mining Engineering Department, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, SpainCivil and Mining Engineering Department, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, SpainApplied Physics and Naval Technology Department, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, SpainApplied Physics and Naval Technology Department, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, SpainMetallurgical and Mining Engineering Department, Universidad Católica del Norte, Antofagasta 1240000, ChileApplied Physics and Naval Technology Department, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, SpainIn this research, a series of compression tests were carried out, under oedometric conditions, on sand samples prepared with different moisture contents. In these tests, in addition to the usual measurements of the stress and deformation of the sample, a series of acoustic emission sensors were used to monitor the parameters of the acoustic signals coming from inside the sample. This is a rather novel technique with great potential, but sometimes difficult to approach due to the large amount of acoustic emission data generated. In this paper, a correlation and regression analysis has been performed to quantify the correlations between the geotechnical variables and the parameters characterizing the acoustic emissions. The results presented open an interesting horizon of possibilities since, as it has been shown, it is possible to determine the values of the geotechnical properties from the acoustic variables, by means of the regression functions obtained for each type of soil or for each practical case. At the very least, this is a complementary tool in the determination of the mechanical properties of soils subjected to compression, although it could also be useful in those situations in which the monitoring of geotechnical variables describing the tenso-deformational behavior of the soil may be difficult or impossible.https://www.mdpi.com/2227-7390/11/19/4085civil engineering mathematicsmultivariate statistical analysisgeotechnical variablesacoustic emissions parametersPearson’s correlation coefficientregression functions
spellingShingle Gonzalo García-Ros
Danny Xavier Villalva-León
Enrique Castro
Juan Francisco Sánchez-Pérez
Julio Valenzuela
Manuel Conesa
Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission Technique
Mathematics
civil engineering mathematics
multivariate statistical analysis
geotechnical variables
acoustic emissions parameters
Pearson’s correlation coefficient
regression functions
title Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission Technique
title_full Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission Technique
title_fullStr Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission Technique
title_full_unstemmed Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission Technique
title_short Multivariate Statistical and Correlation Analysis between Acoustic and Geotechnical Variables in Soil Compression Tests Monitored by the Acoustic Emission Technique
title_sort multivariate statistical and correlation analysis between acoustic and geotechnical variables in soil compression tests monitored by the acoustic emission technique
topic civil engineering mathematics
multivariate statistical analysis
geotechnical variables
acoustic emissions parameters
Pearson’s correlation coefficient
regression functions
url https://www.mdpi.com/2227-7390/11/19/4085
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