Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional Analysis

The conventional empirical Sadowski formula has low prediction accuracy for the vibration velocity of the mass point in the near zone of the blast source, which makes it challenging to evaluate the damage of the building structures accurately. Considering the main influencing factors of blast vibrat...

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Main Authors: Jian-Jun Shi, Shu-Cheng Guo, Wei Zhang
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-06-01
Series:Frontiers in Earth Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/feart.2022.889504/full
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author Jian-Jun Shi
Shu-Cheng Guo
Wei Zhang
author_facet Jian-Jun Shi
Shu-Cheng Guo
Wei Zhang
author_sort Jian-Jun Shi
collection DOAJ
description The conventional empirical Sadowski formula has low prediction accuracy for the vibration velocity of the mass point in the near zone of the blast source, which makes it challenging to evaluate the damage of the building structures accurately. Considering the main influencing factors of blast vibration, the blast vibration attenuation law of deeply buried small clearance tunnels is investigated using dimensional analysis, and the Sadowski expansion formula is established considering the resistance line and free face. The regression analysis and fitting results were evaluated by combining the actual blast vibration data measured at the excavation site of the three separated tunnels at Badaling Great Wall Station with the post-expansion formula and the Sadowski formula, respectively. The results show that the correlation coefficients of the blast vibration expansion formulae based on the gauge theory for the fitted predictions of blast vibration isotropic velocities in a practical engineering context (0.92, 0.81, and 0.88, respectively) are higher than those of the conventional attenuation formulae, by 12, 10.5, and 6.3%, respectively, indicating that the expanded Sadowski formulae can better predict the blast vibration attenuation generated by the described deeply buried small clearance tunneling project.
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spelling doaj.art-f1755f1295d8403a9467f1e4748e3c932022-12-22T00:32:27ZengFrontiers Media S.A.Frontiers in Earth Science2296-64632022-06-011010.3389/feart.2022.889504889504Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional AnalysisJian-Jun ShiShu-Cheng GuoWei ZhangThe conventional empirical Sadowski formula has low prediction accuracy for the vibration velocity of the mass point in the near zone of the blast source, which makes it challenging to evaluate the damage of the building structures accurately. Considering the main influencing factors of blast vibration, the blast vibration attenuation law of deeply buried small clearance tunnels is investigated using dimensional analysis, and the Sadowski expansion formula is established considering the resistance line and free face. The regression analysis and fitting results were evaluated by combining the actual blast vibration data measured at the excavation site of the three separated tunnels at Badaling Great Wall Station with the post-expansion formula and the Sadowski formula, respectively. The results show that the correlation coefficients of the blast vibration expansion formulae based on the gauge theory for the fitted predictions of blast vibration isotropic velocities in a practical engineering context (0.92, 0.81, and 0.88, respectively) are higher than those of the conventional attenuation formulae, by 12, 10.5, and 6.3%, respectively, indicating that the expanded Sadowski formulae can better predict the blast vibration attenuation generated by the described deeply buried small clearance tunneling project.https://www.frontiersin.org/articles/10.3389/feart.2022.889504/fullblast vibrationdimensional analysisdeeply buried small clearance tunnelsattenuation lawexpansion formulae
spellingShingle Jian-Jun Shi
Shu-Cheng Guo
Wei Zhang
Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional Analysis
Frontiers in Earth Science
blast vibration
dimensional analysis
deeply buried small clearance tunnels
attenuation law
expansion formulae
title Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional Analysis
title_full Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional Analysis
title_fullStr Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional Analysis
title_full_unstemmed Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional Analysis
title_short Expansion of Blast Vibration Attenuation Equations for Deeply Buried Small Clearance Tunnels Based on Dimensional Analysis
title_sort expansion of blast vibration attenuation equations for deeply buried small clearance tunnels based on dimensional analysis
topic blast vibration
dimensional analysis
deeply buried small clearance tunnels
attenuation law
expansion formulae
url https://www.frontiersin.org/articles/10.3389/feart.2022.889504/full
work_keys_str_mv AT jianjunshi expansionofblastvibrationattenuationequationsfordeeplyburiedsmallclearancetunnelsbasedondimensionalanalysis
AT shuchengguo expansionofblastvibrationattenuationequationsfordeeplyburiedsmallclearancetunnelsbasedondimensionalanalysis
AT weizhang expansionofblastvibrationattenuationequationsfordeeplyburiedsmallclearancetunnelsbasedondimensionalanalysis