Numerical estimation of interface roughness effect on upscaled elastic properties of layered media

We discuss a numerical study of the interface roughness effect on elastic moduli of an upscaled model of layered media. We propose a numerical algorithm to construct statistically equivalent models of two different types. The first type includes the models with constant elastic moduli but with rough interfaces. The second type consists of models with flat interfaces but with stochastic elastic moduli. It is shown that the distribution of the elastic moduli for the models of the second type is uniquely determined by the interface roughness in the models of the first type.