“…By assuming that the pipeline is a buried beam model, a soil spring model, or an inelastic contact model to consider the interaction between the pipe and the soil, the displacement and stress distribution characteristics of the pipeline under different crossing modes (such as transverse, longitudinal, and diagonal) have been fully explained (Di Frisco et al, 2004;Cocchetti et al, 2009a,b). On this basis, considering the influence of slope structure parameters (slope width, slope, and displacement) and pipeline process parameters (burial depth, diameter-thickness ratio, internal pressure) on the mechanical characteristics of the pipeline, and expanding the multi-condition finite element method simulation, the effect of slopes on pipelines has been discussed in a more comprehensive and detailed manner (Lollino et al, 2010;Zhang et al, 2016Zhang et al, , 2018. After mastering the law of pipe mechanics response, the research work gradually turned to the prediction of pipeline safety, such as: discussing the maximum safe length of the pipeline under the above-mentioned multiple working conditions, proposing a prediction formula for the maximum stress of the pipeline, and using actual monitoring data to verify related reliability of conclusions (Ishii et al, 2012;Luo et al, 2014;Li et al, 2016;Vasseghi et al, 2021).…”