College of Geo- Exploration Science and Technology��Jilin University��Changchun 130026��China

With more applications of seismic exploration in metal ore exploration��forward modelling of seismic wave has become more important in metal ore�� Finite difference method and pseudo- spectral method are two im- portant methods of wave- field simulation�� ��esults of previous studies show that both methods have distinct ad- vantages and disadvantages: Finite difference method has high precision but its dispersion is serious; pseudo- spectral method considers both computational efficiency and precision but has less precision than finite- diffe- rence�� The authors consider the complex structural characteristics of the metal ore��furthermore add random media in order to simulate the complex effects produced by metal ore for wave field�� First��the study introduced the theories of random media and two forward modelling methods�� Second��it compared the simulation results of two methods on fault model�� Then the authors established a complex metal ore model��added random media and compared computational efficiency and precision�� As a result��it is found that finite difference method is better than pseudo- spectral method in precision and boundary treatment��but the computational efficiency of pseudo- spectral method is slightly higher than the finite difference method��