中文摘要：

在地震数据处理中,拉普拉斯变换可以较好地解决频域波形反演中低频数据的不可靠问题,但是同时施加在高频数据的衰减作用会使速度反演的细部信息有所损失。为了克服拉普拉斯变换在处理高频数据上的不足,在考察衰减常数特性的基础上,提出了一种频变衰减常数的拉普拉斯域波形反演方法,利用随频率变化的衰减常数调节控制拉普拉斯的衰减作用,在低频部分提取可靠稳定数据同时,降低对高频部分数据的衰减作用,以使反演结果具有可靠轮廓又具有丰富的细部刻画,改进了固定衰减常数反演方法的不足之处。

英文摘要：

During seismic data processing,the Laplace transform can better solve the problem of unreliability of low-frequency data in waveform inversion,but the damping process leads to lose of the detail information contained in high-frequency data components.In order to overcome the shortcoming of the Laplace transform in processing high-frequency data components,an new frequency-varying damping constant model was constructed and a new waveform inversion method in the Laplace domain with frequency-varying damping constant was provided and the characteristics of damping constant of waveform inversion in the Laplace domain were reviewed in the paper,obtaining reliable and stable low frequency data while maintaining detailed information of the high-frequency data components,avoiding the drawbacks of fixed damping constant model.