Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Probabilistic Analysis of Shallow Excavations in Linear Viscoelastic Laminated Rocks
https://orcid.org/http://orcid.org/0000-0002-2979-8568
Present work uses Monte Carlo simulations for the analysis of shallow excavations in linear viscoelastic laminated rocks where only one roof rock layer is assumed to participate in the deformation of the excavation. One solid-type viscoelastic model, i.e., Kelvin model, and one fluid-type viscoelastic model, i.e., Burgers’ model, have been considered in this study to idealize the roof rock layer. Retardation time has been taken as the random variable representing the uncertainty in the time-dependent characteristics of the roof rock layer. This has been considered to follow log-normal distribution. The realizations have been generated and fed to the deterministic model based on elastic–viscoelastic correspondence principle to obtain the realizations of maximum deflection of roof rock layer. These have further been analyzed to study its probability distribution functions (PDF) for four values of coefficient of variation (COV). The PDF have subsequently been invoked to correlate factors of safety (FOS) to the COV and the risk levels, ε and the approximate relationship has been obtained as FOS≈aε-b. The parameters a and b have been found to increase with increase in the value of COV. Corresponding to a risk level, calculated FOS versus COV values have been tabulated. It has been recommended to adopt a rational value of factor of safety in the design of such excavations by taking into consideration the COV of uncertain rock parameter and the allowable risk.
Probabilistic Analysis of Shallow Excavations in Linear Viscoelastic Laminated Rocks
https://orcid.org/http://orcid.org/0000-0002-2979-8568
Present work uses Monte Carlo simulations for the analysis of shallow excavations in linear viscoelastic laminated rocks where only one roof rock layer is assumed to participate in the deformation of the excavation. One solid-type viscoelastic model, i.e., Kelvin model, and one fluid-type viscoelastic model, i.e., Burgers’ model, have been considered in this study to idealize the roof rock layer. Retardation time has been taken as the random variable representing the uncertainty in the time-dependent characteristics of the roof rock layer. This has been considered to follow log-normal distribution. The realizations have been generated and fed to the deterministic model based on elastic–viscoelastic correspondence principle to obtain the realizations of maximum deflection of roof rock layer. These have further been analyzed to study its probability distribution functions (PDF) for four values of coefficient of variation (COV). The PDF have subsequently been invoked to correlate factors of safety (FOS) to the COV and the risk levels, ε and the approximate relationship has been obtained as FOS≈aε-b. The parameters a and b have been found to increase with increase in the value of COV. Corresponding to a risk level, calculated FOS versus COV values have been tabulated. It has been recommended to adopt a rational value of factor of safety in the design of such excavations by taking into consideration the COV of uncertain rock parameter and the allowable risk.
Probabilistic Analysis of Shallow Excavations in Linear Viscoelastic Laminated Rocks
https://orcid.org/http://orcid.org/0000-0002-2979-8568
Present work uses Monte Carlo simulations for the analysis of shallow excavations in linear viscoelastic laminated rocks where only one roof rock layer is assumed to participate in the deformation of the excavation. One solid-type viscoelastic model, i.e., Kelvin model, and one fluid-type viscoelastic model, i.e., Burgers’ model, have been considered in this study to idealize the roof rock layer. Retardation time has been taken as the random variable representing the uncertainty in the time-dependent characteristics of the roof rock layer. This has been considered to follow log-normal distribution. The realizations have been generated and fed to the deterministic model based on elastic–viscoelastic correspondence principle to obtain the realizations of maximum deflection of roof rock layer. These have further been analyzed to study its probability distribution functions (PDF) for four values of coefficient of variation (COV). The PDF have subsequently been invoked to correlate factors of safety (FOS) to the COV and the risk levels, ε and the approximate relationship has been obtained as FOS≈aε-b. The parameters a and b have been found to increase with increase in the value of COV. Corresponding to a risk level, calculated FOS versus COV values have been tabulated. It has been recommended to adopt a rational value of factor of safety in the design of such excavations by taking into consideration the COV of uncertain rock parameter and the allowable risk.
Probabilistic Analysis of Shallow Excavations in Linear Viscoelastic Laminated Rocks
Indian Geotech J
Maheshwari, Priti (Autor:in)
Indian Geotechnical Journal ; 54 ; 154-168
01.02.2024
15 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Probabilistic Analysis of Shallow Excavations in Linear Viscoelastic Laminated Rocks
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