This paper focuses on the determination of the material damping in the soil by means of the SASW test. Two new methods are proposed. The first method is based on the half-power bandwidth method applied to the width of the peaks in the $f$--$k$ spectrum to determine the attenuation of Rayleigh waves. The second method uses the spatial decay of the Arias intensity at the surface to determine the material damping ratio. Both methods are used to determine the material damping ratio in the soil at a site in Belgium. The identified soil profiles are used to simulate the wave field registered in the SASW test, which is confronted with the experimental data. Good results are obtained with both methods, the second method performing slightly better than the first.


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