“…Jayasinghe et al [14] studied the blasting effect on the adjacent piles by numerical methods. Abedi et al [15] developed a mathematical model based on the theory of beam on the elastic foundation to study the behavior of buried pipelines exposed to surface blasting. In addition, they constructed a three-dimensional finite element model, compared the analytical and numerical results, and concluded that the analytically calculated PPVs were higher than the numerical ones.…”