بررسی عدم قطعیت تراوش از سدهای خاکی همگن با بهره‌گیری از شبیه‌سازی مونت‌کارلو و اجزای محدود فازی

نوع مقاله : مقاله عمران

نویسندگان

1 دانش آموخته دکترای عمران آب و سازه های هیدرولیکی، دانشکده مهندسی عمران، دانشگاه تبریز، تبریز، ایران

2 دانشیار گروه آب، دانشکده مهندسی عمران، دانشگاه تبریز، تبریز، ایران.

چکیده

در تحلیل محیط خاکی به‌صورت اشباع و نیمه اشباع، استفاده از روش اجزای محدود فازی به علت تصادفی بودن خصوصیات خاک موجب حصول تحلیل‌های واقع‌بینانه‌تری نسبت به روش‌های تعینی می‌شود. هدف این تحقیق بررسی تأثیر عدم قطعیت در پیش‌بینی دبی نشت از سد خاکی، با به‌کارگیری الگوریتم نوترکیب شبیه‌سازی مونت‌کارلو فازی (FMCS) است که به کمک روش اجزای محدود تصادفی اجراشده است. در این تحقیق از یک برنامه رایانه‌ای برای تحلیل اجزای محدود استفاده شد که بعد از صحت سنجی با نتایج آزمایشگاهی ابتدا به‌صورت قطعی و تعینی بررسی گردید. سپس از حلقه‌های تکرار مونت‌کارلو برای حالت احتمالاتی استفاده شد. اجزای محدود فازی با فرض احتمال وقوع رخداد تراوش در خاک برای چهار متغیر نفوذپذیری خاک (Kx/Ky)، نسبت ارتفاع آب (Hd/Hu)، نسبت عرض افقی پایین‌دست به عرض قاعده (Bd/B)و نسبت عرض افقی پایین به عرض بالادست (Bd/Bu) اجرا گردید. نتایج این تحقیق نشان می‌دهد که تابع عضویت فازی برای متغیرهای Kx/Ky به‌صورت خطی- متقارن و برای دو متغیر هندسی Bd/B و Bd/Bu خطی-غیرمتقارن است و همچنین تابع عضویت Hd/H به‌صورت غیرخطی-غیرمتقارن برای تراوش می‌باشد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Application of Monte Carlo simulation (MCS) and Fuzzy Finite Element (FFEM) for Investigating the Uncertainty of Seepage in Homogeneous Earth dams

نویسندگان [English]

  • Milad Kheiry 1
  • Farhoud Kalateh 2
1 PhD graduate, Factuly of Civil Engineering, University of Tabriz,Tabriz, Iran.
2 Factuly of Civil Engineering, University of Tabriz, Tabriz, Iran.
چکیده [English]

In the analysis of saturated and semi-saturated soil media, the use of the finite element method results in more realistic analyses than deterministic methods due to the random nature of porous media properties. The purpose of this research is to investigate the impact of uncertainty in the prediction of seepage flow through earth dams using the Fuzzy Monte Carlo Simulation (FMCS) new hybrid algorithm, which is implemented with the help of the finite element method and monte carlo simulation. In this study, a computer program was used for Finite Element Analysis (FEA), which was definitively checked after validation with experimental results. Monte Carlo iteration loops were then used for probabilistic mode. The Fuzzy Finite Element Method (FFEM) was executed assuming the probability of the soil for four variables: soil permeability (Kx/Ky), water height ratio (Hd/Hu), horizontal width of downstream slope ratio to base width (Bd/B), and horizontal width of downstream slope ratio to horizontal upstream width (Bd/Bu). The results of this research show that the fuzzy membership function is linear-symmetric for Kx/Ky variables and linear-asymmetric for two geometric variables, Bd/B and Bd/Bu. Additionally, the membership function was extracted for Hd/Hu.

کلیدواژه‌ها [English]

  • Porous Medium
  • GalerkIin Finite Element Method (GFEM)
  • Simulation Model
  • Soil Hydraulic Conductivity
  • FORTRAN

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مدل سازی در مهندسی
دوره 22، شماره 76
اردیبهشت 1403
صفحه 99-114

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سابقه مقاله

  • تاریخ دریافت: 25 آذر 1401
  • تاریخ بازنگری: 09 مرداد 1402
  • تاریخ پذیرش: 19 شهریور 1402

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