An investigation into application of jointly distributed random variables method in reliability assessment of rock slope stability

Johari, A.; Fazeli, A.; Javadi, Akbar A.

doi:10.1016/j.compgeo.2012.07.003

Cited by 45 publications

(22 citation statements)

References 23 publications

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“…They are then integrated analytically into the adopted slope stability analysis model to derive a mathematical expression of the density function of the factor of safety. Limited attempts have been made to apply analytical methods [4][5][6][7][8]. The Jointly Distributed Random Variables (JDRV) method, which is employed in this research, lies in this category.…”

Section: Methodsmentioning

confidence: 99%

Analytical stochastic analysis of seismic stability of infinite slope

Johari

Khodaparast

2015

Soil Dynamics and Earthquake Engineering

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Section: Methodsmentioning

confidence: 99%

Analytical stochastic analysis of seismic stability of infinite slope

Johari

Khodaparast

2015

Soil Dynamics and Earthquake Engineering

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“…Many probabilistic techniques for slope reliability analysis have been well documented in literatures. Some of the latest publications include Ali et al (2014), Cho (2013), Chowdhury and Rab (2010), Jiang et al (2014), Ji and Liao (2014), Johari et al (2013), Kim and Sitar (2013), Khajehzadeh et al (2010), Li et al (2014), Lee et al (2012), Luo et al (2012aLuo et al ( , 2012b, Li et al (2011), Raihan et al (2012), Samui et al (2011), Tang et al (2012), , Wang et al (2013), Wang et al (2011), Zhang et al (2014), and Zhang et al (2013), among others.…”

Section: Introductionmentioning

confidence: 97%

An algorithm in generalized coordinate system and its application to reliability analysis of seismic slope stability of high rockfill dams

Chen

et al. 2015

Engineering Geology

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“…In this method, regardless of the types and forms of slope failure, the FOS is calculated as the ratio of the resistance forces to the unstable forces (Johari et al, 2013), according to equation 12.…”

Section: Fuzzy Analysis Of Slope Stabilitymentioning

confidence: 99%

Investigating the Slope Stability Based on Uncertainty by Using Fuzzy Possibility Theory

Hosseini¹,

Gholinejad²

2014

Archives of Mining Sciences

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The main purpose of this paper is to investigate the slope stability condition by using fuzzy estimation method based on fuzzy possibility theory. Due to use of this theory, the inaccuracy, ambiguity and uncertainty in input parameters are considered and therefore, the calculated factor of safety (FOS) is highly reliable. In this research, first, the input parameters of slope stability analysis, based on statistical characteristics and grade of membership concept, as a fuzzy numbers are defined. Then the performance function of slope behavior is defined and by using the fuzzy parameters, the FOS is calculated. In next step, by using the several α -cut, the calculated FOS is defined as a fuzzy form and subsequently, the slope stability condition based on fuzzy presentation of FOS is evaluated. The results show that, although based on deterministic analysis the studied slope is stable but based on fuzzy interpretation of FOS, the slope stability condition is scare. The fuzzy analysis of slope stability condition, by applying the uncertainty in calculating the FOS and defining the grade of membership for each unknown input parameters in model, a more realistic interpretation of slope stability condition is provided. In addition, the fuzzy presentation of the FOS, allowing more accurate judgments about slope stability condition.Keywords: fuzzy possibility theory, uncertainty, factor of safety, slope stability Celem pracy jest zbadanie warunku stabilności skarpy w oparciu o metody szacunkowe wykorzystujące elementy logiki rozmytej i teorii prawdopodobieństwa. Z uwagi na zastosowanie tych teorii w parametrach wejściowych uwzględniono niedokładność, niepewność i niejednoznaczność, dlatego też obliczone współczynniki bezpieczeństwa uznać można za wysoce wiarygodne. W pierwszym etapie pracy zdefiniowano parametry wejściowe do analizy stabilności skarpy w oparciu o charakterystyki statystyczne i przyjęte funkcje przynależności, i określone parametry rozmyte. Następnie zdefiniowano zachowanie zbocza skarpy w oparciu o parametry rozmyte i obliczono współczynnik bezpieczeństwa. W kolejnym kroku przy założeniu wielokrotnego wybierania przy założonym kącie α (α -cut), obliczono współczyn-nik bezpieczeństwa w formie rozmytej i zbadano warunek stabilności skarpy oparty na współczynniku bezpieczeństwa w formie rozmytej. Wyniki wskazują, że pomimo iż zbocze badane w oparciu o analizy deterministyczne wydaje się stabilne, to współczynnik bezpieczeństwa w ujęciu rozmytym sugeruje, że warunek stabilności zbocza będzie spełniony w niewielkim stopniu. Analiza warunku stabilności zbocza wykorzystujące elementy logiki rozmytej uwzględniająca zagadnienie niepewności przy obliczaniu współczynnika bezpieczeństwa i przy określaniu stopnia funkcji przynależności dla poszczególnych parametrów wejściowych modelu pozwala bardziej realistycznie określić warunek bezpieczeństwa. Ponadto, przedstawienie warunku bezpieczeństwa w postaci rozmytej pozwala na bardziej dokładną ocenę warunków stabilności.

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An investigation into application of jointly distributed random variables method in reliability assessment of rock slope stability

Cited by 45 publications

References 23 publications

Analytical stochastic analysis of seismic stability of infinite slope

Analytical stochastic analysis of seismic stability of infinite slope

An algorithm in generalized coordinate system and its application to reliability analysis of seismic slope stability of high rockfill dams

Investigating the Slope Stability Based on Uncertainty by Using Fuzzy Possibility Theory

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