Usage of Assembled Functions Theory for Compute Dynamic Response of a Tunnel

نوع مقاله : مقاله پژوهشی


1 گروه مهندسی عمران سازه، دانشکده فنی و مهندسی، دانشگاه رازی کرمانشاه، ایران

2 گروه آموزشی عمران سازه، دانشکده فنی و مهندسی، دانشگاه لرستان، ایران

3 گروه مهندسی عمران ژئوتکنیک، دانشکده فنی و مهندسی، دانشگاه آزاد، واحد تبریز، ایران


در این پژوهش یک پاسخ تحلیلی برای ارزیابی پاسخ دینامیکی تونل در محیط های متخلخل ایزوتروپ با استفاده از تئوری تجمع توابع ارائه شده است. برای حل معادلات، دو گروه از توابع پیچیده برای ساختمان جامد و مایع نفوذی در یک سیستم پیچیده دو بعدی معرفی شده اند. تنش، جابجایی و فشارهای منفی ناشی از حوادث حاد در محیط و به ویژه در مجاورت حفره در این طرح پیچیده ارزیابی می شود. اعتبار راه حل پیشنهادی با نمونه های مختلف عددی نشان داده شده است. یک مطالعه پارامتری شامل اثرات تغییر فشردگی مایع، مدول برشی و تغییرات نفوذپذیری، تعداد مختلف موج و انواع موج (امواج سریع، آهسته و برشی) انجام می شود.



عنوان مقاله [English]

Usage of Assembled Functions Theory for Compute Dynamic Response of a Tunnel

نویسندگان [English]

  • Peyman Beiranvand 1
  • Arash Bayat 1
  • Hamid reza Ashrafi 1
  • F. Omidinasab 2
  • Masoud Gohari 3
1 Department of Civil Engineering, Razi University, Kermanshah, Iran
2 Assistant Professor, Department of Civil Engineering, Lorestan University, Khorramabad, Iran
3 Department of Civil Engineering, Islamic Azad University, Tabriz Branch, Iran
چکیده [English]

An analytical solution for the evaluation of dynamic response of a tunnel in infinite isotropic elastic porous media is presented. Tunnel is considered as a circular cavity. Two groups of complex functions for solid skeleton and pore fluid in a two-dimensional (2D) complex plane are introduced in order to solve the Biot equations. Stress, displacement and pore pressure fields induced by incident and scattered waves in the medium and especially in the vicinity of the cavity are evaluated in this complex plane. The validation of the proposed solution is shown by various numerical examples. A parametric study including the effects of fluid compressibility changes, shear modulus and permeability variations, several wave numbers and wave types (fast, slow and shear waves) is performed.

کلیدواژه‌ها [English]

  • Analytical solution
  • Complex functions
  • Porous media
  • Wave scattering
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