ABSTRACT
First, we considered the relation among the damage ratio of sewerage pipes and manholes, the seismic force, the ground factor, the pipe factor, the ground liquefaction factor and so on.
And, we estimated the fragility curve function for physical damage and malfunction. We used the seismic intensity for the maximum ground velocity, and a normal distribution for the basic shape of the fragility curve, as equation (1) shows, with reference to prior research results. (Maruyama and Yamazaki (2009))
R C( )Vi = ⋅ ( )Vi −⎡⎣⎢ ⎤ ⎦⎥
Φ ζ
(1)
ε = { }[ ] =
∑ − ⋅ i
1 (2)
where, R (Vi) is an estimated value of the physical damage ratio at a maximum ground velocity of Vi. C, λ and ζ are regression coefficients calculated by
ABSTRACT: In this paper, the authors studied the fragility function of sewerage pipes and manholes. The fragility function is the maximum ground velocity vs. the damage ratio, which is the ratio of the length of damaged sewerage pipes to the total length of sewerage pipes. And the damage ratio of manholes is the ratio of the number of damaged manholes to the total number of manholes. The digital maps used for this study to estimate the fragility function were drawn up using the GIS on sewerage pipes and manholes damaged during the five recent large earthquakes in Japan.
