Application of random set method in a deep excavation: based on a case study in Tehran cemented alluvium

doi:10.1007/s11709-018-0461-y

Front. Struct. Civ. Eng.

2019, Vol. 13

Issue (1) : 66-80 https://doi.org/10.1007/s11709-018-0461-y

RESEARCH ARTICLE

Application of random set method in a deep excavation: based on a case study in Tehran cemented alluvium

Arash SEKHAVATIAN, Asskar Janalizadeh CHOOBBASTI(

)

Department of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran

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Abstract

The design of high-rise buildings often necessitates ground excavation, where buildings are in close proximity to the construction, thus there is a potential for damage to these structures. This paper studies an efficient user-friendly framework for dealing with uncertainties in a deep excavation in layers of cemented coarse grained soil located in Tehran, Iran by non-deterministic Random Set (RS) method. In order to enhance the acceptability of the method among engineers, a pertinent code was written in FISH language of FLAC2D software which enables the designers to run all simulations simultaneously, without cumbersome procedure of changing input variables in every individual analysis. This could drastically decrease the computational effort and cost imposed to the project, which is of great importance especially to the owners. The results are presented in terms of probability of occurrence and most likely values of the horizontal displacement at top of the wall at every stage of construction. Moreover, a methodology for assessing the credibility of the uncertainty model is presented using a quality indicator. It was concluded that performing RS analysis before the beginning of every stage could cause great economical savings, while improving the safety of the project.

Keywords uncertainty reliability analysis deep excavations random set method finite difference method

Corresponding Author(s): Asskar Janalizadeh CHOOBBASTI

Online First Date: 26 February 2018 Issue Date: 04 January 2019

Cite this article:

Arash SEKHAVATIAN,Asskar Janalizadeh CHOOBBASTI. Application of random set method in a deep excavation: based on a case study in Tehran cemented alluvium[J]. Front. Struct. Civ. Eng., 2019, 13(1): 66-80.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-018-0461-y
https://academic.hep.com.cn/fsce/EN/Y2019/V13/I1/66

Fig.1 Upper bound (Pl) and lower bound (Bel) on ‘precise’ probability (Pro) [¹⁸]

Fig.2 Random set. (a) Construction of random set, (b) upper and lower discrete cumulative distribution functions [¹⁸]

Fig.3 Upper and lower discrete cumulative distribution function considering spatial correlation [¹⁸]

Fig.4 Soil model at Soheil commercial complex project

Tab.1 Geometric configuration of Soheil commercial complex excavated wall

Tab.2 Some detailed information on Soheil complex excavated wall

Fig.5 Definition of W_e, B_e, and D_b [³⁶]

Fig.6 An illustration of target functions with different sensitivities with respect to input variable x (after [¹⁸])

Fig.7 Relative sensitivity for the deep excavation problem

Tab.3 Basic variables for material parameters (input values)

Fig.8 Random sets of input parameter: (a) friction angle of the first layer; (b) modulus factor of the middle layer; (c) cohesion of the middle layer and d) friction of the third layer

Tab.4 Inputs relating to (C2₁, K2₂, K3₁) variables used in deterministic finite difference calculations

Tab.5 Permutation matrix of RS-FDM analysis

Fig.9 Range of horizontal displacement of point A (in Fig. 5) in different construction stages. (a) Stage 3 (H=9 m); (b) Stage 4 (H=12 m); (c) Stage 5 (H=15 m); (d) Stage 6 (H=18 m); (e) Stage 7 (H=21 m)

Tab.6 P_f(min) and P_f(max) for different phases of construction

Tab.7 Expected performance level (US Army Corps of Engineers 1997)

Fig.10 Range of most likely values and spread of distribution

Tab.8 Lower and upper mean values of true system response

Fig.11 Horizontal displacements of the top of the wall (most likely values and spread of distributions)

Fig.12 Normalized maximum lateral wall movement vs. excavation depth (after [⁴⁸])

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