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Two most popular rock physical models are chosen to simulate the effect of ice on the broadband frequency dispersion and attenuation of P-wave and S-wave in partially frozen brine and unconsolidated sands. Investigation on frequency dependency of dispersion and attenuation introduced by several different attenuation mechanisms: Biot loss, friction energy loss and squirt flow are also conducted to assist the interpretation of the responsible attenuation mechanisms in partially frozen brine and unconsolidated sands