Comparison of theories with simulations for the average wave field (ϵ = 0.01). Top: attenuation. Bottom: effective wave speed. The triangles are for the simulations in frequency domain (τ → ∞), the squares for those in time domain (τ = 1 day). The two dashed-dotted blue lines are the Born solutions for media 1 and 2, while the yellow and orange dashed lines are the Keller solutions. 1 − σ error bars are shown.