Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian Network
Urban underground space development has heightened concerns over the safety of deep foundation pit construction. This study conducted time-series monitoring of critical safety-influencing factors and applied the Gaussian copula-based Bayesian network (GCBN) model for comprehensive reliability analys...
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/24/3961 |
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| author | Bin Tan Qiyuan Peng |
| author_facet | Bin Tan Qiyuan Peng |
| author_sort | Bin Tan |
| collection | DOAJ |
| description | Urban underground space development has heightened concerns over the safety of deep foundation pit construction. This study conducted time-series monitoring of critical safety-influencing factors and applied the Gaussian copula-based Bayesian network (GCBN) model for comprehensive reliability analysis of deep foundation pit support structures. The GCBN model, integrating the multivariate data management of pair copula with Bayesian network’s uncertainty handling, found that building settlement has the greatest impact on the safety of deep foundation pit and revealed a reliability index (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>) of 0.44 in an actual case, suggesting a hazardous condition. Based on the reliability index <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>, emergency measures were promptly taken. Compared to traditional reliability methods, the approach presented in this paper takes into account the dependence among monitoring indicators, which is more aligned with actual engineering conditions and holds significant reference value for the safety assessment of underground engineering structures. |
| format | Article |
| id | doaj-art-598beee779a546d8913a3f8bbf650c12 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-598beee779a546d8913a3f8bbf650c122025-08-20T02:43:38ZengMDPI AGMathematics2227-73902024-12-011224396110.3390/math12243961Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian NetworkBin Tan0Qiyuan Peng1School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031, ChinaUrban underground space development has heightened concerns over the safety of deep foundation pit construction. This study conducted time-series monitoring of critical safety-influencing factors and applied the Gaussian copula-based Bayesian network (GCBN) model for comprehensive reliability analysis of deep foundation pit support structures. The GCBN model, integrating the multivariate data management of pair copula with Bayesian network’s uncertainty handling, found that building settlement has the greatest impact on the safety of deep foundation pit and revealed a reliability index (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>) of 0.44 in an actual case, suggesting a hazardous condition. Based on the reliability index <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>, emergency measures were promptly taken. Compared to traditional reliability methods, the approach presented in this paper takes into account the dependence among monitoring indicators, which is more aligned with actual engineering conditions and holds significant reference value for the safety assessment of underground engineering structures.https://www.mdpi.com/2227-7390/12/24/3961deep foundation pitconstruction phasepair-copula Bayesian modelrisk assessmentreliability analysis |
| spellingShingle | Bin Tan Qiyuan Peng Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian Network Mathematics deep foundation pit construction phase pair-copula Bayesian model risk assessment reliability analysis |
| title | Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian Network |
| title_full | Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian Network |
| title_fullStr | Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian Network |
| title_full_unstemmed | Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian Network |
| title_short | Reliability Analysis of Deep Foundation Pit Using the Gaussian Copula-Based Bayesian Network |
| title_sort | reliability analysis of deep foundation pit using the gaussian copula based bayesian network |
| topic | deep foundation pit construction phase pair-copula Bayesian model risk assessment reliability analysis |
| url | https://www.mdpi.com/2227-7390/12/24/3961 |
| work_keys_str_mv | AT bintan reliabilityanalysisofdeepfoundationpitusingthegaussiancopulabasedbayesiannetwork AT qiyuanpeng reliabilityanalysisofdeepfoundationpitusingthegaussiancopulabasedbayesiannetwork |