Abstract:Through the staggered-grid finite-difference forward modeling of wave equation,the paper modeled the propagation of seismic wave in 2-D elastic random medium and self-excited and self-received time-records;comparison of acoustic wave with elastic wave is made in layered random medium model,which showed that both have big difference.In order to study the wavefield characters in 2-D elastic random medium model,we divided the theoretical records into three different time segments and computed three statistical characterististic values of section separately in three different time segments:laterally central frequency,vertically central frequency and relative value of wavefield energy.Then,corresponding to each elastic random medium model,9 different wavefield-characterized values are obtained by computation.Finally,through studying the changed characters corresponding to characteristic values of wawefield when medium models are changed;the conclusion that closely related the model characters (self-correlation length and roughness of random medium etc.) to wavefield characters (disturbed frequency and energy of recorded section etc.):the statistic characteristic values of wavefield strongly rely on statistic characters of medium,such as correlation length and roughness etc.;the seismic records corresponding to random medium models are characterized by complex wavefield such as scattered wave and seismic wave tail.