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The formation of stratum is uncertain and random��so it is more appropriate to model based on the random theory�� The authors describe the small scale inhomogeneity in the underground medium by random media modeling�� And in order to study the propagation characteristics of acoustic wave in the small scale inhomogeneous media��the authors build different scales 2- D random media models and use the finite differential method to model the acoustic field in the random media�� Then compare the seismic record and its waveform and amplitude in differ- ent correlation lengths to study the relationship between these characteristic quantity with correlation lengths�� The result shows that as the parameter described the small scale inhomogeneity��the correlation lengths have a great in- fluence on the acoustic wave propagation in random media��