Abstract:Propagation of seismic wave in complex medium is mostly simulated by numeric solution of oneway or two-way wave equation.The numeric solution of wave equation is various.A mesh-free algorithm--element-free method that is widely usedfor engineering mechanics and litho-mechanics fields is used for seismic simulation in the paper.It exists clear superiority in computational cost in comparison with finite-element algorithm because of independent existence of node in element-free method; besides, using moving least squares fitting method makes element-free method have the advantages of high precision and smooth high-order derivatives of independent variables solution.On the basis of introducing the principle of element-free method, the paper showed the superiority in precision by the case of damping film vibration in comparison with finite-element algorithm; then the element-free method for prestack seismic simulation isased and the combination of several absorbing boundary conditions with element-free method in seismic simulation is discussed.The results of model calculation showed that element-free method adding in effective absorbing boundary can gain complete and travel-time-precious seismic wave section with satisfactory in both precision and stability