Abstract:The finite-difference approach is common-used algorithm for numerical solution of wave equation,but ordinary finite-difference algorithm is difficult in overcoming the interference of numeric disper lion. On the basis of summarizing and analyzing the former methods,the paper integrated and expanded the relative techniques and got optimized finite-difference algorithm,the main concepts inchides high-order finite-difference,optimized difference parameters and Flax-Corrected Transport (FCT)technique. Based on the algorithm,we wrote corresponding program,improving precision of wave equation forward modeling and reducing computational effort in comparison with ordinary methods,which can be widely used for wave field modeling and analysis in relief topography and complex subsurface geologic structures and achieved satisfactory results in coal seam model.