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MINISTRY OF EDUCATION AND TRAINING HANOI UNIVERSITY OF MINING AND GEOLOGY PHAM VAN VI BEHAVIOR OF SUB-RECTANGULAR TUNNELS UNDER SEISMIC LOADING PhD THESIS HANOI, May 2022 BỘ GIÁO DỤC VÀ ĐÀO TẠO TRƯỜNG ĐẠI HỌC MỎ - ĐỊA CHẤT PHẠM VĂN VĨ NGHIÊN CỨU ỨNG XỬ CỦA KẾT CẤU CHỐNG TRONG ĐƯỜNG HẦM TIẾT DIỆN HÌNH CHỮ NHẬT CONG CHỊU TẢI TRỌNG ĐỘNG ĐẤT LUẬN ÁN TIẾN SĨ KỸ THUẬT HÀ NỘI - 05/2022 MINISTRY OF EDUCATION AND TRAINING HA NOI UNIVERSITY OF MINING AND GEOLOGY PHAM VAN VI BEHAVIOR OF SUB-RECTANGULAR TUNNELS UNDER SEISMIC LOADING Major: Underground construction engineering Code: 9580204 PhD THESIS SUPERVISORS: Asso Prof., Dr Do Ngoc Anh Prof., Dr Dias Daniel HA NOI, May 2022 BỘ GIÁO DỤC VÀ ĐÀO TẠO TRƯỜNG ĐẠI HỌC MỎ - ĐỊA CHẤT PHẠM VĂN VĨ NGHIÊN CỨU ỨNG XỬ CỦA KẾT CẤU CHỐNG TRONG ĐƯỜNG HẦM TIẾT DIỆN HÌNH CHỮ NHẬT CONG CHỊU TẢI TRỌNG ĐỘNG ĐẤT Ngành đào tạo: Kỹ thuật Xây dựng Cơng trình ngầm Mã số ngành: 9580204 LUẬN ÁN TIẾN SĨ KỸ THUẬT NGƯỜI HƯỚNG DẪN KHOA HỌC: PGS.TS Đỗ Ngọc Anh GS.TS Dias Daniel HÀ NỘI - 05/2022 i ACKNOWLEDGEMENTS The work described within this thesis was conducted at the Underground and Mining Construction Department, Faculty of Civil Engineering, Hanoi University of Mining and Geology, Vietnam First of all, I am particularly grateful to my supervisors, Associate Professor, Dr Do Ngoc Anh, and Professor Daniel Dias They have enthusiastically supported and directed me to provide invaluable advices in the process of preparing this thesis and research articles I would like to thank Associate Professor, Dr Do Ngoc Anh for his regular support from the very beginning to the completion of this thesis He pushed me to reach my full potential His professional guidance and willingness to work on an ongoing basis were key elements in completing this study I would like to thank Professor Daniel Dias for his invaluable guidance, supervision, encouragement, and support throughout this research process I would like to record my sincere appreciation for their help and I will never forget my three years of Ph.D studies under their guidance, my respected teachers Second, I also want to thank the teachers and staff of the Underground and Mining Construction Department, Faculty of Construction, Postgraduate training Office, Hanoi University of Mining and Geology, who helped me in the process of implementing this thesis Third, I would like to thank the Vingroup JSC and supported by the Master, PhD Scholarship Programme of Vingroup Innovation Foundation (VINIF), Institute of Big Data, code VINIF.2021.TS.167 for financial support This is an honor and a great motivation that helped me to make this research more focused Finally, I am deeply grateful to my family for their support, patience, and love This study would not have been started, would not have been possible, and would never have been completed without the support of my wife, Vu Thi Hue, and my two children, Khanh An and Minh Tri Nothing would have happened without their support and I devoted them to this thesis ii LỜI CẢM ƠN Luận án thực Bộ môn Xây dựng cơng trình ngầm Mỏ, Khoa Xây dựng, Trường Đại học Mỏ - Địa chất Đầu tiên, tác giả xin đặc biệt cảm ơn tới tổ hướng dẫn, PGS.TS Đỗ Ngọc Anh GS Daniel Dias Các Thầy ln định hướng, khuyến khích, thúc đẩy NCS có lời khuyên quý báu, chân thành giúp cho tác giả trình thực luận án viết báo khoa học Thứ hai, tác giả muốn cảm ơn tới Thầy cô Bộ môn Xây dựng cơng trình ngầm mỏ, Khoa Xây dựng, Phịng Đào tạo Sau đại học Trường Đại học Mỏ - Địa chất giúp đỡ, tạo điều kiện cho tác giả trình thực luận án Thứ ba, tác giả muốn cảm ơn tới Tập đoàn Vingroup hỗ trợ Chương trình học bổng thạc sĩ, tiến sĩ nước Quỹ Đổi sáng tạo Vingroup (VINIF), Viện Nghiên cứu Dữ liệu lớn, mã số VINIF.2021.TS.167 tài trợ Đây vinh dự động lực lớn giúp tác giả tập trung nghiên cứu khoa học Cuối cùng, tác giả vơ biết ơn tới gia đình ln bên cạnh với kiên nhẫn Luận án khơng bắt đầu, thực hồn thành khơng có hỗ trợ gia đình iii GUARANTEE I hereby declare that this is my own research work The data and results presented in this thesis are honest and have never been published in any other works PhD candidate Pham Van Vi iv LỜI CAM ĐOAN Tơi xin cam đoan cơng trình nghiên cứu riêng Các kết liệu luận án trung thực chưa công bố cơng trình Nghiên cứu sinh Phạm Văn Vĩ v SUMMARY The principal purpose of this Ph.D thesis is to study the behavior of subrectangular tunnels under seismic conditions by using a finite difference method (FDM) and then a new quasi-static loading scheme, applied to the Hyperstatic Reaction Method (HRM), was developed Firstly, a literature review on the tunnel lining design under seismic condition was conducted Secondly, 2D numerical models of circular and sub-rectangular tunnels subjected to quasi-static loading were developed The difference in behavior of these two tunnel types under seismic loading was highlighted In the final part of the manuscript, a new quasi-static loading scheme applied in sub-rectangular tunnels using the HRM method was proposed based on the quasi-static loading principle Its reliability is demonstrated based on validations conducted by using finite difference caculations considering different situations Keywords: Sub-rectangular tunnel; Hyperstatic Reaction Method; Numerical model; Quasi-static vi TĨM TẮT Mục tiêu luận án sử dụng phương pháp số sai phân hữu hạn (FDM) để nghiên cứu ứng xử đường hầm tiết diện hình chữ nhật cong chịu tải trọng động đất phát triển sơ đồ tải trọng tĩnh tương đương áp dụng phương pháp lực kháng đàn hồi (HRM) Trên sở kết nghiên cứu tổng quan khoảng trống nghiên cứu kết cấu đường hầm tiết diện chữ nhật cong chịu tải trọng động đất, luận án phát triển mơ hình số 2D cho đường hầm tiết diện hình chữ nhật cong chịu tải trọng tĩnh tương đương sở mơ hình đường hầm tiết diện hình tròn kiểm chứng cách so sánh với phương pháp giải tích Ứng xử khác kết cấu chống hai loại tiết diện đường hầm chịu tải trọng động đất Dựa vào kết phân tích mơ hình số FDM, luận án đề xuất sơ đồ tải 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