Back analysis of displacements for estimating spatial distribution of viscoelastic properties around an unlined rock cavern

Xu Gao; E. Chuan Yan; Tian Chyi Jim Yeh; Xiao Meng Yin; Jing Sen Cai; Yong Hong Hao; Jet Chau Wen

doi:10.1016/j.compgeo.2020.103724

Back analysis of displacements for estimating spatial distribution of viscoelastic properties around an unlined rock cavern

Xu Gao, E. Chuan Yan, Tian Chyi Jim Yeh, Xiao Meng Yin, Jing Sen Cai, Yong Hong Hao, Jet Chau Wen

Hydrology and Water Resources

Research output: Contribution to journal › Article

Abstract

A displacement back analysis algorithm is developed, considering the time-dependent effect of the rock mass. It can map spatially distributed the first elastic modulus (E₁), viscidity coefficient (η₁), and the second elastic modulus (E₂) of the Kelvin-Voigt viscoelastic constitutive model (VCM) and the Poynting-Thomson VCM in a rock mass by fusion of the observed displacement data from the excavation of an unlined rock cavern. The algorithm is tested and validated using numerical experiments with a synthetic heterogeneous rock mass. The results of the experiments show that this approach yields unbiased estimates of E₁, η₁, and E₂ fields and quantifies their uncertainty. Further, the estimated fields closely predict shear strain distribution and displacements field in the example.

Original language	English (US)
Article number	103724
Journal	Computers and Geotechnics
Volume	126
DOIs	https://doi.org/10.1016/j.compgeo.2020.103724
State	Published - Oct 2020

Keywords

Displacement back analysis
Heterogeneity
Successive linear estimator
Unlined rock cavern
Viscoelastic parameters

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Computer Science Applications

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Gao, X., Yan, E. C., Yeh, T. C. J., Yin, X. M., Cai, J. S., Hao, Y. H., & Wen, J. C. (2020). Back analysis of displacements for estimating spatial distribution of viscoelastic properties around an unlined rock cavern. Computers and Geotechnics, 126, [103724]. https://doi.org/10.1016/j.compgeo.2020.103724

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title = "Back analysis of displacements for estimating spatial distribution of viscoelastic properties around an unlined rock cavern",

abstract = "A displacement back analysis algorithm is developed, considering the time-dependent effect of the rock mass. It can map spatially distributed the first elastic modulus (E1), viscidity coefficient (η1), and the second elastic modulus (E2) of the Kelvin-Voigt viscoelastic constitutive model (VCM) and the Poynting-Thomson VCM in a rock mass by fusion of the observed displacement data from the excavation of an unlined rock cavern. The algorithm is tested and validated using numerical experiments with a synthetic heterogeneous rock mass. The results of the experiments show that this approach yields unbiased estimates of E1, η1, and E2 fields and quantifies their uncertainty. Further, the estimated fields closely predict shear strain distribution and displacements field in the example.",

keywords = "Displacement back analysis, Heterogeneity, Successive linear estimator, Unlined rock cavern, Viscoelastic parameters",

author = "Xu Gao and Yan, {E. Chuan} and Yeh, {Tian Chyi Jim} and Yin, {Xiao Meng} and Cai, {Jing Sen} and Hao, {Yong Hong} and Wen, {Jet Chau}",

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T1 - Back analysis of displacements for estimating spatial distribution of viscoelastic properties around an unlined rock cavern

AU - Gao, Xu

AU - Yan, E. Chuan

AU - Yeh, Tian Chyi Jim

AU - Yin, Xiao Meng

AU - Cai, Jing Sen

AU - Hao, Yong Hong

AU - Wen, Jet Chau

PY - 2020/10

Y1 - 2020/10

N2 - A displacement back analysis algorithm is developed, considering the time-dependent effect of the rock mass. It can map spatially distributed the first elastic modulus (E1), viscidity coefficient (η1), and the second elastic modulus (E2) of the Kelvin-Voigt viscoelastic constitutive model (VCM) and the Poynting-Thomson VCM in a rock mass by fusion of the observed displacement data from the excavation of an unlined rock cavern. The algorithm is tested and validated using numerical experiments with a synthetic heterogeneous rock mass. The results of the experiments show that this approach yields unbiased estimates of E1, η1, and E2 fields and quantifies their uncertainty. Further, the estimated fields closely predict shear strain distribution and displacements field in the example.

AB - A displacement back analysis algorithm is developed, considering the time-dependent effect of the rock mass. It can map spatially distributed the first elastic modulus (E1), viscidity coefficient (η1), and the second elastic modulus (E2) of the Kelvin-Voigt viscoelastic constitutive model (VCM) and the Poynting-Thomson VCM in a rock mass by fusion of the observed displacement data from the excavation of an unlined rock cavern. The algorithm is tested and validated using numerical experiments with a synthetic heterogeneous rock mass. The results of the experiments show that this approach yields unbiased estimates of E1, η1, and E2 fields and quantifies their uncertainty. Further, the estimated fields closely predict shear strain distribution and displacements field in the example.

KW - Displacement back analysis

KW - Heterogeneity

KW - Successive linear estimator

KW - Unlined rock cavern

KW - Viscoelastic parameters

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