The following expression of the factor of safety against liquefaction is found useful:
F
le=√W
l0/W
e0where W
l0 is the energy accumulated in the pore-water from the initial state until liquefaction; W
e0 is the work done to the pore-water by the ground motion. F
le can be directly related to the pore-water pressure ratio. From the historical data of liquefaction sites and earthquakes, compiled by Kuribayashi and Tatsuoka, the effect of the ground motion is found to be captured by the quantity X=SA
C, in which S is the slip displacement of the unit mass with critical acceleration of sliding A
C. The procedure for evaluating F
le statistically from the JMA magnitude, epicentral distance, effective compressibility of the pore-water and critical angle of dislocation is presented.
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