Analytical solution of overlying pipe deformation caused by tunnel excavation based on Pasternak foundation model
The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying pipeline, thus increasing the risk of pipeline accidents. Then, how to correctly calculate the deformation and internal force of pipeline is the key to pipel...
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| Published in | Scientific reports Vol. 13; no. 1; pp. 921 - 16 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
London
Nature Publishing Group UK
17.01.2023
Nature Publishing Group Nature Portfolio |
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| Online Access | Get full text |
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| Abstract | The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying pipeline, thus increasing the risk of pipeline accidents. Then, how to correctly calculate the deformation and internal force of pipeline is the key to pipeline safety evaluation. To this end, this study firstly used the Pasternak foundation beam model to simulate the interaction of pipeline and soil, and divided the pipeline into the void area (i.e., pipeline-soil detachment) and the coordination area (i.e., pipeline-soil is always deformed together) between pipeline and soil. The differential equation of pipeline deflection for the void area and the coordination area were established respectively, and the solutions of pipeline deflection, the internal force of pipeline and the width of pipeline-soil void area were presented. Subsequently, the accuracy of the proposed method was verified by comparing with the available model and field test data, and it is found that the calculation results are too conservative without considering the pipeline-soil voiding phenomenon. Finally, the detailed parametric analysis was conducted. The results show that the pipeline deflection decreases with the increase of the pipeline-tunnel spacing between pipeline and tunnel, the pipeline bending stiffness and the soil elastic modulus, but increases with the increase of the formation loss rate, and the width of pipeline-soil void area increases with the increase of the pipeline-tunnel spacing, the pipeline bending stiffness and the soil elastic modulus. |
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| AbstractList | The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying pipeline, thus increasing the risk of pipeline accidents. Then, how to correctly calculate the deformation and internal force of pipeline is the key to pipeline safety evaluation. To this end, this study firstly used the Pasternak foundation beam model to simulate the interaction of pipeline and soil, and divided the pipeline into the void area (i.e., pipeline-soil detachment) and the coordination area (i.e., pipeline-soil is always deformed together) between pipeline and soil. The differential equation of pipeline deflection for the void area and the coordination area were established respectively, and the solutions of pipeline deflection, the internal force of pipeline and the width of pipeline-soil void area were presented. Subsequently, the accuracy of the proposed method was verified by comparing with the available model and field test data, and it is found that the calculation results are too conservative without considering the pipeline-soil voiding phenomenon. Finally, the detailed parametric analysis was conducted. The results show that the pipeline deflection decreases with the increase of the pipeline-tunnel spacing between pipeline and tunnel, the pipeline bending stiffness and the soil elastic modulus, but increases with the increase of the formation loss rate, and the width of pipeline-soil void area increases with the increase of the pipeline-tunnel spacing, the pipeline bending stiffness and the soil elastic modulus. The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying pipeline, thus increasing the risk of pipeline accidents. Then, how to correctly calculate the deformation and internal force of pipeline is the key to pipeline safety evaluation. To this end, this study firstly used the Pasternak foundation beam model to simulate the interaction of pipeline and soil, and divided the pipeline into the void area (i.e., pipeline-soil detachment) and the coordination area (i.e., pipeline-soil is always deformed together) between pipeline and soil. The differential equation of pipeline deflection for the void area and the coordination area were established respectively, and the solutions of pipeline deflection, the internal force of pipeline and the width of pipeline-soil void area were presented. Subsequently, the accuracy of the proposed method was verified by comparing with the available model and field test data, and it is found that the calculation results are too conservative without considering the pipeline-soil voiding phenomenon. Finally, the detailed parametric analysis was conducted. The results show that the pipeline deflection decreases with the increase of the pipeline-tunnel spacing between pipeline and tunnel, the pipeline bending stiffness and the soil elastic modulus, but increases with the increase of the formation loss rate, and the width of pipeline-soil void area increases with the increase of the pipeline-tunnel spacing, the pipeline bending stiffness and the soil elastic modulus.The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying pipeline, thus increasing the risk of pipeline accidents. Then, how to correctly calculate the deformation and internal force of pipeline is the key to pipeline safety evaluation. To this end, this study firstly used the Pasternak foundation beam model to simulate the interaction of pipeline and soil, and divided the pipeline into the void area (i.e., pipeline-soil detachment) and the coordination area (i.e., pipeline-soil is always deformed together) between pipeline and soil. The differential equation of pipeline deflection for the void area and the coordination area were established respectively, and the solutions of pipeline deflection, the internal force of pipeline and the width of pipeline-soil void area were presented. Subsequently, the accuracy of the proposed method was verified by comparing with the available model and field test data, and it is found that the calculation results are too conservative without considering the pipeline-soil voiding phenomenon. Finally, the detailed parametric analysis was conducted. The results show that the pipeline deflection decreases with the increase of the pipeline-tunnel spacing between pipeline and tunnel, the pipeline bending stiffness and the soil elastic modulus, but increases with the increase of the formation loss rate, and the width of pipeline-soil void area increases with the increase of the pipeline-tunnel spacing, the pipeline bending stiffness and the soil elastic modulus. Abstract The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying pipeline, thus increasing the risk of pipeline accidents. Then, how to correctly calculate the deformation and internal force of pipeline is the key to pipeline safety evaluation. To this end, this study firstly used the Pasternak foundation beam model to simulate the interaction of pipeline and soil, and divided the pipeline into the void area (i.e., pipeline-soil detachment) and the coordination area (i.e., pipeline-soil is always deformed together) between pipeline and soil. The differential equation of pipeline deflection for the void area and the coordination area were established respectively, and the solutions of pipeline deflection, the internal force of pipeline and the width of pipeline-soil void area were presented. Subsequently, the accuracy of the proposed method was verified by comparing with the available model and field test data, and it is found that the calculation results are too conservative without considering the pipeline-soil voiding phenomenon. Finally, the detailed parametric analysis was conducted. The results show that the pipeline deflection decreases with the increase of the pipeline-tunnel spacing between pipeline and tunnel, the pipeline bending stiffness and the soil elastic modulus, but increases with the increase of the formation loss rate, and the width of pipeline-soil void area increases with the increase of the pipeline-tunnel spacing, the pipeline bending stiffness and the soil elastic modulus. |
| ArticleNumber | 921 |
| Author | Yang, Minghui Deng, Bo Fu, Daxi Zhen, Binbin |
| Author_xml | – sequence: 1 givenname: Daxi surname: Fu fullname: Fu, Daxi organization: School of Civil Engineering of Beijing Jiaotong University, Henan Provincial Transportation Planning and Design Institute Co., Ltd – sequence: 2 givenname: Bo surname: Deng fullname: Deng, Bo organization: College of Civil Engineering, University of South China – sequence: 3 givenname: Minghui surname: Yang fullname: Yang, Minghui email: yamih@126.com organization: College of Civil Engineering, Hunan University – sequence: 4 givenname: Binbin surname: Zhen fullname: Zhen, Binbin organization: College of Civil Engineering, Hunan University |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/36650184$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1038_s41598_023_38291_7 crossref_primary_10_1088_1755_1315_1336_1_012015 crossref_primary_10_1016_j_tust_2024_105953 crossref_primary_10_1371_journal_pone_0301428 crossref_primary_10_1038_s41598_023_46046_7 crossref_primary_10_3390_pr12010213 |
| Cites_doi | 10.1061/(ASCE)GT.1943-5606.0002021 10.1007/s12517-022-09462-z 10.1139/t11-024 10.1016/j.sandf.2019.12.003 10.1520/GTJ20140031 10.1016/j.engfailanal.2020.104631 10.3208/sandf.44.5_109 10.1016/j.tust.2017.04.006 10.1016/j.enggeo.2017.11.014 10.1061/(ASCE)GT.1943-5606.0000390 10.1016/j.tust.2014.11.004 10.1061/(ASCE)GT.1943-5606.0001376 10.1139/cgj-2016-0054 10.1007/s12205-018-0302-5 10.1016/j.compgeo.2012.01.011 10.1016/j.tust.2019.103193 10.1016/j.compgeo.2012.12.005 10.1680/geot.14.P.173 10.1016/j.tust.2012.07.008 10.1038/s41598-020-79139-8 |
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| Snippet | The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying pipeline, thus... Abstract The existing tunnel construction causes stratum deformation, which in turn leads to additional deformation and internal force of the overlying... |
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| SubjectTerms | 639/166 639/166/986 Civil engineering Construction Deflection Deformation Excavation Humanities and Social Sciences Mechanical properties multidisciplinary Science Science (multidisciplinary) Soils Stress concentration Tunnel construction |
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| Title | Analytical solution of overlying pipe deformation caused by tunnel excavation based on Pasternak foundation model |
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