Risk analysis of gravity dam instability using credibility theory Monte Carlo simulation model

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Table 2 Basic parameters and fuzzy distribution parameters of basement

Stratum	Parameters of AB (\(c_{1}\)/MPa)		Parameters of BC (\(c_{2}\)/MPa)		Density γ (kN/m³)	α	β
T ^2-3₃	\(f_{1}\)	0.35	\(f_{2}\)	[0.93, 0.98, 1.05]	26	[21°11′, 21°53′, 22°44′]	34°26′
	\(c_{1}\)	0.1	\(c_{2}\)	[0.90, 1.00, 1.10]
T ^2-5₃	\(f_{1}\)	0.35	\(f_{2}\)	[0.93, 0.98, 1.05]	27	[21°35′, 23°26′, 25°21′]	35°15′
	\(c_{1}\)	0.1	\(c_{2}\)	[0.90, 1.00, 1.10]
T ^2-6-1₃	\(f_{1}\)	0.35	\(f_{2}\)	[0.93, 0.98, 1.05]	27	[19°1′, 19°49′, 20°52′]	34°14′
	\(c_{1}\)	0.1	\(c_{2}\)	[0.90, 1.00, 1.10]
JC2-3	\(f_{1}\)	[0.35, 0.40, 0.44]	\(f_{2}\)	[0.93, 0.98, 1.05]	26	16°36′	29°5′
	\(c_{1}\)	[0.10, 0.12, 0.13]	\(c_{2}\)	[0.90, 1.00, 1.10]
JC2-4	\(f_{1}\)	[0.35, 0.40, 0.44]	\(f_{2}\)	[0.93, 0.98, 1.05]	26	19°18′	33°1′
	\(c_{1}\)	[0.10, 0.12, 0.13]	\(c_{2}\)	[0.90, 1.00, 1.10]
JC2-5	\(f_{1}\)	[0.35, 0.40, 0.44]	\(f_{2}\)	[0.93, 0.98, 1.05]	26	21°40′	34°19′
	\(c_{1}\)	[0.10, 0.12, 0.13]	\(c_{2}\)	[0.90, 1.00, 1.10]
JC2-6	\(f_{1}\)	[0.35, 0.40, 0.44]	\(f_{2}\)	[0.93, 0.98, 1.05]	27	15°46′	38°51′
	\(c_{1}\)	[0.10, 0.12, 0.13]	\(c_{2}\)	[0.90, 1.00, 1.10]
JC2-7	\(f_{1}\)	[0.35, 0.40, 0.44]	\(f_{2}\)	[0.93, 0.98, 1.05]	27	16°2′	36°12′
	\(c_{1}\)	[0.10, 0.12, 0.13]	\(c_{2}\)	[0.90, 1.00, 1.10]