Interval uncertainty analysis of a confined aquifer

Abstract Water inflow forecast is influenced by many factors and yields uncertain results. To more accurately predict the magnitude of water inflow and quantitatively define the corresponding response in the parameter change interval, this study combined a non-probabilistic set theory and uncertaint...

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Main Authors: Chengcheng Xu, Chuiyu Lu, Jianhua Wang
Format: Article
Language:English
Published: Nature Publishing Group 2021-03-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-86118-0
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spelling doaj-2a3199acdb1f427c8574e5d1240cc6a52021-03-28T11:28:28ZengNature Publishing GroupScientific Reports2045-23222021-03-011111510.1038/s41598-021-86118-0Interval uncertainty analysis of a confined aquiferChengcheng Xu0Chuiyu Lu1Jianhua Wang2School of Earth and Environment, Anhui University of Science and TechnologyState Key Laboratory of Water Cycle Simulation and Regulation, China Institute of Water Resources and Hydropower ResearchState Key Laboratory of Water Cycle Simulation and Regulation, China Institute of Water Resources and Hydropower ResearchAbstract Water inflow forecast is influenced by many factors and yields uncertain results. To more accurately predict the magnitude of water inflow and quantitatively define the corresponding response in the parameter change interval, this study combined a non-probabilistic set theory and uncertainty analysis to derive an equation for the confined water inflow. Using mining area data and comparing the calculation of upper and lower boundary limits obtained by a Monte Carlo method, results of the confined water inflow equation were calculated with relative errors of 5% and 10%. When corresponding to the rate of change of the variable parameter, the results showed that under the same error conditions, the allowable rate of change when calculating the minimum value using Eq. A was greater than when using Eq. B, and the maximum value using Eq. B yielded a greater allowable rate of change than the maximum value calculated by Eq. A. Thus, the obtained rate of change for Eq. A is indicative of the lower limit, and Eq. B is conducive to the calculation of the upper limit of mine water inflow.https://doi.org/10.1038/s41598-021-86118-0
collection DOAJ
language English
format Article
sources DOAJ
author Chengcheng Xu
Chuiyu Lu
Jianhua Wang
spellingShingle Chengcheng Xu
Chuiyu Lu
Jianhua Wang
Interval uncertainty analysis of a confined aquifer
Scientific Reports
author_facet Chengcheng Xu
Chuiyu Lu
Jianhua Wang
author_sort Chengcheng Xu
title Interval uncertainty analysis of a confined aquifer
title_short Interval uncertainty analysis of a confined aquifer
title_full Interval uncertainty analysis of a confined aquifer
title_fullStr Interval uncertainty analysis of a confined aquifer
title_full_unstemmed Interval uncertainty analysis of a confined aquifer
title_sort interval uncertainty analysis of a confined aquifer
publisher Nature Publishing Group
series Scientific Reports
issn 2045-2322
publishDate 2021-03-01
description Abstract Water inflow forecast is influenced by many factors and yields uncertain results. To more accurately predict the magnitude of water inflow and quantitatively define the corresponding response in the parameter change interval, this study combined a non-probabilistic set theory and uncertainty analysis to derive an equation for the confined water inflow. Using mining area data and comparing the calculation of upper and lower boundary limits obtained by a Monte Carlo method, results of the confined water inflow equation were calculated with relative errors of 5% and 10%. When corresponding to the rate of change of the variable parameter, the results showed that under the same error conditions, the allowable rate of change when calculating the minimum value using Eq. A was greater than when using Eq. B, and the maximum value using Eq. B yielded a greater allowable rate of change than the maximum value calculated by Eq. A. Thus, the obtained rate of change for Eq. A is indicative of the lower limit, and Eq. B is conducive to the calculation of the upper limit of mine water inflow.
url https://doi.org/10.1038/s41598-021-86118-0
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AT chuiyulu intervaluncertaintyanalysisofaconfinedaquifer
AT jianhuawang intervaluncertaintyanalysisofaconfinedaquifer
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