Corrosion will appear inside and outside of buried pipelines gradually as the service time increases.However

as the characteristics of the soil around the pipeline and the conveying material inside the pipeline are undetermined

the corrosion state of buried pipeline must be stochastic.In this paper

homogeneous Markov chain with absorbing barrier

an effect mathematics tool for simulating the evolution of system with discrete states

is used to simulate the occurrence of corrosion on the pipeline.Combined with linear corrosion development model

the probability distribution of the pipeline section area is derived.On the basis of above corrosion model of pipeline

elastic foundation beam method

a classical elastic method for analyzing the seismic response of pipeline subject to seismic wave propagation

is used to express the seismic displacement and stress of pipeline as the function of the random variable

pipe segments section areas.Then by use of Monte Carlo random simulation method

the mean and standard deviation of the seismic response of the pipeline are obtained.In order to validate the proposed model

a 100 meters long pipeline

whose diameter is 325 mm and thick is 16 mm

is investigated in detail.First

the probability distribution of the pipeline section area is obtained after it has served 50 years.Then

the mean and standard deviation of the pipeline displacement and stress are obtained subject to a real seismic wave.The results indicate that the proposed approach can efficiently simulate the corrosion state of the buried pipeline.Also

from the random seismic response of the pipeline

it is found that the variability of the pipeline section area is almost same as that of the pipeline seismic stress and that the corrosion has littlie effect on the variability of pipeline seismic displacement.