分形插值对共炮集记录叠前逆时偏移的影响

利用分形插值方法对稀疏采样的地震记录进行了插值加密处理，并对原始记录和分形插值重建记录进行了叠前逆时偏移处理．数值实验表明，分形插值重建的地震图是原始地震图的良好近似，而分形插值叠前偏移剖面是原始记录偏移剖面的良好近似，二者的分辨率几乎一样．利用分形插值重建技术可以在节约经济成本的情况下，得到地下结构的高精度成像结果． 

Influence of fractal interpolation on common shots pre-stack reverse-time migration

Interpolation reconstruction has been made to the sparse sampling da-ta by using explicit fractal interpolation method, and the pre-stack reverse-time migration has been made for the original and the reconstructed seismic data. Numerical experiments we did demonstrate that the seismic section and seismo-grams reconstructed with explicit fractal interpolation method resemble the original ones very well. The waveform of missing traces could be well estimated and the amplitudes of the interpolated traces are also a good approximation of the original ones. The imaging sections obtained from the fractal interpolated data resemble the original ones satisfactorily, and both have fine resolution. Under the condition of low economic cost, even with the sparse sampling, we can still acquire high accurate imaging of the Earth's interior structure by means of the explicit fractal interpolation.