Wave equation method is one of the fundamental methods for seismic modeling and imaging. In this paper a meshless numerical method - the Element-Free Method (EFM) was applied to solve seismic wave equation and handle modeling and imaging problems. The theory of EFM consisted of two parts -the Moving Least Squares (MLS) criterion and the variational principle, in contrast with the Lagrange interpolation and the variational principle for the theory of the Finite Element Method (FEM). In EFM, it was necessary to calculate the Gauss quadrature on each Gauss point. Only the numbered nodes near to the Gauss point needed to be considered for the quadrature. These nodes were determined by the so-called influence domain of each node. The influence domain was a significant feature of EFM because it effected on the accuracy and cost of the method. At the same time, the absence of elements was also a key point of EFM, which yielded easier preprocessing and lower cost than those of FEM. In this paper, the scheme of EFM would be shown for full scalar or elastic wave equation. Based on the theory, a simple example was discussed in details to indicate the good effectivity of EFM. Furthermore, some synthetic examples will be shown to discover the good performance of EFM in seismic modeling and imaging problems. It is clear that complex structures can be modeled and imaged very well such as high-angle dip and high-velocity anoma1y even under complex surface conditions.


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