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Z.Y. Tian^1,2, S.H. Zhou¹, and Q.M. Gong¹

¹Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Tongji University Shanghai, China
²School of Mathematics, University of Bristol, Bristol, United Kingdom

doi:10.4203/ccc.1.10.22

Z.Y. Tian, S.H. Zhou, Q.M. Gong, "A statistical inverse approach for load identification on in-service tunnel structures", in J. Pombo, (Editor), "Proceedings of the Fifth International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 1, Paper 10.22, 2022, doi:10.4203/ccc.1.10.22

Keywords: inverse problem, statistical inversion, load identification, tunnel structure.

Abstract

Under complex underground environment, earth pressures on many in-service tunnel structures have far exceeded values expected in design stage, leading to severe structural diseases. Identification of the pressures on these structures is the basis for digital monitoring, residual capacity estimation, and health assessment of them. Here, a statistical inversion approach is proposed to identity the current earth pressures on tunnel structures based on the easily observed deformation data. To deal with the well-known non-uniqueness and ill-conditioning issues in a load inversion problem, this approach is based on Bayes’ theorem to obtain the complete posterior probability densities (PPD) of inversion results. Accordingly, non-uniqueness is recognized and quantified by the PPDs, based on which ill-conditioning can also be flattened by a statistical integration. Numerical cases are carried out to test this approach in detail and future extensions are discussed in the last.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 1 PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE Edited by: J. Pombo Paper 10.22 A statistical inverse approach for load identification on in-service tunnel structures Z.Y. Tian^1,2, S.H. Zhou¹, and Q.M. Gong¹ ¹Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Tongji University Shanghai, China ²School of Mathematics, University of Bristol, Bristol, United Kingdom doi:10.4203/ccc.1.10.22 Full Bibliographic Reference for this paper Z.Y. Tian, S.H. Zhou, Q.M. Gong, "A statistical inverse approach for load identification on in-service tunnel structures", in J. Pombo, (Editor), "Proceedings of the Fifth International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 1, Paper 10.22, 2022, doi:10.4203/ccc.1.10.22 Keywords: inverse problem, statistical inversion, load identification, tunnel structure. Abstract Under complex underground environment, earth pressures on many in-service tunnel structures have far exceeded values expected in design stage, leading to severe structural diseases. Identification of the pressures on these structures is the basis for digital monitoring, residual capacity estimation, and health assessment of them. Here, a statistical inversion approach is proposed to identity the current earth pressures on tunnel structures based on the easily observed deformation data. To deal with the well-known non-uniqueness and ill-conditioning issues in a load inversion problem, this approach is based on Bayes’ theorem to obtain the complete posterior probability densities (PPD) of inversion results. Accordingly, non-uniqueness is recognized and quantified by the PPDs, based on which ill-conditioning can also be flattened by a statistical integration. Numerical cases are carried out to test this approach in detail and future extensions are discussed in the last. download the full-text of this paper (PDF, 8 pages, 528 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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