Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysis

Monte-Carlo random finite-difference analysis (MCRFDA) can incorporate the spatial variability of soil properties into the analysis of geotechnical structures. However, two factors, namely, the fineness of the generated elements (reflected by the number of elements, Ne) and the number of MC simulati...

Full description

Bibliographic Details
Main Authors: Huaichang Yu, Jialiang Wang, Li Cao, Rui Bai, Peng Wang
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-01-01
Series:Frontiers in Earth Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/feart.2022.1041288/full
_version_ 1797960081399087104
author Huaichang Yu
Huaichang Yu
Jialiang Wang
Jialiang Wang
Li Cao
Rui Bai
Peng Wang
author_facet Huaichang Yu
Huaichang Yu
Jialiang Wang
Jialiang Wang
Li Cao
Rui Bai
Peng Wang
author_sort Huaichang Yu
collection DOAJ
description Monte-Carlo random finite-difference analysis (MCRFDA) can incorporate the spatial variability of soil properties into the analysis of geotechnical structures. However, two factors, namely, the fineness of the generated elements (reflected by the number of elements, Ne) and the number of MC simulation iterations, NMC, considerably affect the computational efficiency of this method, creating a barrier to its broad use in real-world engineering problems. Hence, an MCRFDA model of a circular underground cavern is developed in this study. The convergent deformation of the cavern is analyzed while considering the spatial variability distribution of the elastic modulus. Moreover, the effects of NMC and Ne on random FD calculations are investigated. The results show the following. An NMC greater than 500 is desirable for the FD analysis of a conventional structure. For a specific structure, Ne does not have a significant impact on the mean of the simulated values but appreciably affects the standard deviation (SD) of the simulated values, where reducing Ne increases the SD of the simulated values.
first_indexed 2024-04-11T00:41:04Z
format Article
id doaj.art-163a664b73da4845bb73953f3bdb7bf1
institution Directory Open Access Journal
issn 2296-6463
language English
last_indexed 2024-04-11T00:41:04Z
publishDate 2023-01-01
publisher Frontiers Media S.A.
record_format Article
series Frontiers in Earth Science
spelling doaj.art-163a664b73da4845bb73953f3bdb7bf12023-01-06T05:25:39ZengFrontiers Media S.A.Frontiers in Earth Science2296-64632023-01-011010.3389/feart.2022.10412881041288Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysisHuaichang Yu0Huaichang Yu1Jialiang Wang2Jialiang Wang3Li Cao4Rui Bai5Peng Wang6Henan Province Key Laboratory of Rock and Soil Mechanics and Structural Engineering, North China University of Water Resources and Electric Power, Zhengzhou, ChinaCollege of Geosciences and Engineering, North China University of Water Resources and Electric Power, Zhengzhou, ChinaHenan Province Key Laboratory of Rock and Soil Mechanics and Structural Engineering, North China University of Water Resources and Electric Power, Zhengzhou, ChinaCollege of Geosciences and Engineering, North China University of Water Resources and Electric Power, Zhengzhou, ChinaYunnan Dianzhong Water Diversion Engineering Co., Ltd., Kunming, ChinaYunnan Dianzhong Water Diversion Engineering Co., Ltd., Kunming, ChinaYunnan Dianzhong Water Diversion Engineering Co., Ltd., Kunming, ChinaMonte-Carlo random finite-difference analysis (MCRFDA) can incorporate the spatial variability of soil properties into the analysis of geotechnical structures. However, two factors, namely, the fineness of the generated elements (reflected by the number of elements, Ne) and the number of MC simulation iterations, NMC, considerably affect the computational efficiency of this method, creating a barrier to its broad use in real-world engineering problems. Hence, an MCRFDA model of a circular underground cavern is developed in this study. The convergent deformation of the cavern is analyzed while considering the spatial variability distribution of the elastic modulus. Moreover, the effects of NMC and Ne on random FD calculations are investigated. The results show the following. An NMC greater than 500 is desirable for the FD analysis of a conventional structure. For a specific structure, Ne does not have a significant impact on the mean of the simulated values but appreciably affects the standard deviation (SD) of the simulated values, where reducing Ne increases the SD of the simulated values.https://www.frontiersin.org/articles/10.3389/feart.2022.1041288/fullMonte-Carlo random finite-difference analysisrandom fieldelastic moduluscavern deformationmeshing accuracy
spellingShingle Huaichang Yu
Huaichang Yu
Jialiang Wang
Jialiang Wang
Li Cao
Rui Bai
Peng Wang
Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysis
Frontiers in Earth Science
Monte-Carlo random finite-difference analysis
random field
elastic modulus
cavern deformation
meshing accuracy
title Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysis
title_full Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysis
title_fullStr Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysis
title_full_unstemmed Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysis
title_short Effects of the number of simulation iterations and meshing accuracy in monte-carlo random finite-difference analysis
title_sort effects of the number of simulation iterations and meshing accuracy in monte carlo random finite difference analysis
topic Monte-Carlo random finite-difference analysis
random field
elastic modulus
cavern deformation
meshing accuracy
url https://www.frontiersin.org/articles/10.3389/feart.2022.1041288/full
work_keys_str_mv AT huaichangyu effectsofthenumberofsimulationiterationsandmeshingaccuracyinmontecarlorandomfinitedifferenceanalysis
AT huaichangyu effectsofthenumberofsimulationiterationsandmeshingaccuracyinmontecarlorandomfinitedifferenceanalysis
AT jialiangwang effectsofthenumberofsimulationiterationsandmeshingaccuracyinmontecarlorandomfinitedifferenceanalysis
AT jialiangwang effectsofthenumberofsimulationiterationsandmeshingaccuracyinmontecarlorandomfinitedifferenceanalysis
AT licao effectsofthenumberofsimulationiterationsandmeshingaccuracyinmontecarlorandomfinitedifferenceanalysis
AT ruibai effectsofthenumberofsimulationiterationsandmeshingaccuracyinmontecarlorandomfinitedifferenceanalysis
AT pengwang effectsofthenumberofsimulationiterationsandmeshingaccuracyinmontecarlorandomfinitedifferenceanalysis