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This paper discusses the dynamical behavior of a randomly-fluctuating heterogeneous continuum model of the ballast. The Young's modulus is modeled as a random field parameterized by its average, its variance and a correlation model. A numerical model of the ballast and the surrounding soil is then constructed based on an explicit spectral element solver. This model allows to describe numerically the wave field generated, as well as to construct dispersion curves for the ballast-soil model. Thedoi:10.1051/epjconf/201714011012 fatcat:fbtmo46i3ba73j7qq7mzgn4acm