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由于受地震仪器观测精度及计算机处理能力的限制，地震反演的速度曲线所能达到的分辨率能力，不能满足勘探目标的需要（例如，10m以内的薄互层反演）。现设想地层沉积结构具有分形的特征，则可通过分形计算求得速度变化细节，尽可能地逼近实测的声波曲线。我们将这种由地震速度反演曲线进行分形计算的结果称为“重建的声波曲线”。通过对实际资料的试算表明，在声测资料较理想的情况下，重建的声波曲线与实测的声波测井曲线有很好的相关性，其相关值可以达到0．8以上。
Due to the limited accuracy of seismic instrument observation and computer processing capabilities, the resolution capability of seismic velocity inversion can not meet the needs of exploration targets (for example, thin interbed inversion within 10m). It is envisaged that the sedimentary structure of the stratum has the characteristics of fractal, so the details of velocity variation can be obtained by fractal calculation and the actual acoustic curve can be approximated as much as possible. We call this result of the fractal calculation from the seismic velocity inversion curve as the “reconstructed acoustic wave curve.” The trial calculation of actual data shows that the reconstructed acoustic curve has a good correlation with the measured acoustic logging curve when the acoustic data is more ideal, and the correlation value can reach above 0.8.