برآورد تقریبی عمق بحرانی لایه خاک در تحلیل لرزه‌ای سازه‌های زیرزمینی مستطیلی شکل

نوع مقاله : Articles


1 پژوهشکده مهندسی ژئوتکنیک، پژوهشگاه بین‌المللی زلزله‌شناسی و مهندسی زلزله، تهران، ایران

2 پژوهشکده مهندسی سازه، پژوهشگاه بین‌المللی زلزله‌شناسی و مهندسی زلزله، تهران، ایران

3 گروه مهندسی عمران، دانشگاه جامع امام حسین (ع)، تهران، ایران


یکی از مشکلات متداول در مسیر طراحی لرزه‌ای سازه‌های زیرزمینی، نیاز به در اختیار داشتن پروفیل خاک محل است. لیکن به دست آوردن این اطلاعات، با توجه به طویل بودن بسیاری از این سازه‌ها، عموماً هزینه قابل‌ملاحظه‌ای را در بر دارد. در این شرایط چنانچه دورنمایی تقریبی از عمق بحرانی سنگ بستر در اختیار باشد،‌ در قضاوت مهندسی طراح می‌تواند نقش راهگشایی داشته باشد. در این حالت طراح این امکان را خواهد داشت که بدون اطلاع از عمق لایه خاک قرار گرفته بر سنگ بستر، برآوردی محافظه‌کارانه از عمق بحرانی جهت استفاده در تحلیل‌های عددی در اختیار داشته باشد. در این راستا در پژوهش حاضر جستجویی جهت یافتن عمق بحرانی برای سازه‌های زیرزمینی با مقطع مستطیلی در حوزه خطی در یک ساختار دو مرحله‌ای انجام پذیرفته است. در بخش نخست تلاش شده ارتباط میان بیشینه جابه‌جایی سنگ بستر و بیشینه جابه‌جایی درونی لایه قرار گرفته بر آن استخراج گردد. در بخش دوم این تحقیق، مدل­های متعددی با استفاده از روش اجزای محدود برای سازه‌های زیرزمینی مستطیل شکل در نرم‌افزار آباکوس ساخته شده و تغییر مکان‌های به‌دست‌آمده در گام قبل از طریق مرزها به محیط خاک تک‌لایه، در قالب شکل مود اول لایه اعمال شده است. نتایج حاصل از این پژوهش حاکی از آن است که فرض کمترین عمق لایه در حوزه خطی، محافظه‌کارانه‌ترین فرض بوده و منجر به ایجاد بیشترین نیاز‌های لرزه‌ای در سازه می‌شود.


عنوان مقاله [English]

Approximate Estimation of Critical Bedrock Depth to be Implemented in Preliminary Seismic Design of Underground Structures

نویسندگان [English]

  • Hossein Jahankhah 1
  • Amir Hossein Pariz 2
  • Morteza Bastami 2
  • Majid Kiani 3
1 Geotechnical Engineering Research Center, International Institute of Earthquake Engineering and Seismology, Tehran, Iran
2 Structural Engineering Research Center, International Institute of Earthquake Engineering and Seismology, Tehran, Iran
3 Department of Civil Engineering, Imam Hossein University, Tehran, Iran
چکیده [English]

In seismic design of engineering structures, usually bedrock acceleration-displacement response spectra are within hand. The crucial issue in seismic design of underground structures is the serious need for the geotechnical logs to be used in numerical simulations. However, large dimensions of typical sub-surface structures like tunnels, subways and sewage water transporting routes, require considerable logging efforts based on notable budgets. As such structures would lay several ten meters under the ground surface, the mentioned efforts and budgets expand with respect to that of required for over ground systems. Hence, any approximate estimation on critical bedrock depth can help to draw reasonable engineering design judgments. Providing such information, regardless of precise log information, guide the designer to implement conservative assumptions and reach upper bound estimations on seismic demands. To approach this goal, here, an investigation is conducted to find such critical depth parametrically. The structures are considered as box shaped long embedded systems for which 2D rectangular cross sections are studied linearly and a simple procedure for fast and conservative seismic design is proposed. To this end, the article constitutes of two parts. At first, the approximate relation between maximum bedrock displacement (DB) and maximum internal drift of the soil layer over the bedrock (DL) is explored. It is notable that in underground soil-structure interaction, the soil deformation field surrounds the structure and through an interaction procedure, both soil and structure converge to an equilibrium state. So, maximum internal deformation of the soil layer, in which the structure is embedded, plays an important role in seismic demands of subsurface structures. In this part, a set of 20 real bedrock records is utilized to reach the approximate DB-DL relation through a linear well-known closed form equation for single layer transfer function. The bedrock histories were all selected from the sites with shear wave velocity, Vs, over 700 m/s. The results of this part show that the average value of DL, for the selected set of records, is approximately close to the value of DB. In the second part, various Finite Element (FE) models were developed in ABAQUS software including different structures. Then, the resulted DL from previous step was applied to the boundaries of FE models, in first-mode-shape of each layer. It is supposed that the total layer deformation comes from its first mode shape. Next, the uppermost flexural, shear and axial strains are tabulated and sketched against the parameter H/Vs, where H is the soil layer depth. This process was repeated for structures with different values of flexibility ratio, FR, and aspect ratio, AS. The effect of h/H ratio is also reviewed where h is the structure vertical dimension. The depth of the structure from ground surface is set to a constant value and just a single layer over the bedrock is taken into account. The trends of strain demands and critical layer depths are the explored and discussed. It is shown that, as the distant of the structure and the bedrock diminishes, the strain demands increase. This happens as the maximum gradient of soil deformation occurs near the bedrock surface. This makes clear that, in the absence of enough information on soil layers, it is suggested that the minimum stratum laye5r depth to be considered for a conservative analysis. Such depth, which can be assumed as the overburden depth plus structural vertical height, is expected to produce the upper most seismic demands for preliminary design of underground structures. It should be noted that this research is based on linear analysis and complementary investigations, considering different types of nonlinearities, are required to reach more precise conclusions with more reasonable safety factors.

کلیدواژه‌ها [English]

  • Critical Bedrock Depth
  • Seismic Design
  • Box Shaped Structures
  • Underground
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