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Effective boundary saving

Here we mainly focus on finding the part of boundaries which is really necessary to be saved (referred to as the effective boundary in this paper), even though there are many other practical implementation issues in GPU-based RTM (Liu et al., 2012a). In what follows, we introduce the effective boundary saving for regular grid and staggered grid finite difference. All analysis will be based on 2D acoustic wave propagation in RTM. In other cases, the wave equation may change but the principle of effective boundary saving remains the same.