Abstract
AbstractThis paper presents a new 3‐D finite‐difference (FD) method of spatially irregular grids to simulate elastic wave propagation in heterogeneous anisotropic media with topographic structures. The method approximates the first‐order elastic wave equations with irregular grids finite difference operator with second‐order time precision and fourth‐order spatial precision. Unlike the multi‐grid scheme, this method has no interpolation between the fine and coarse grids. All grids are computed at the same spatial iteration. Complicated geometrical structures like rough submarine interface, fault and nonplanar interfaces are treated with fine irregular grids. Theoretical analysis and numerical simulations show that this method saves considerable memory and computing time, at the same time, has satisfactory stability and accuracy. The proposed scheme is more efficient than conventional methods in simulating seismic wave propagation in topographic structures.
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