分形方法在模拟非均匀介质模型中的应用

Model of heterogeneous media using fractal method simulation

1. 中国地质大学地球物理与空间信息学院,湖北 武汉 430074;2. 中国石化江汉油田物探研究院,湖北潜江 433100

Department of Geophysics, University of Ge-osciences, Wuhan 430074, China

常规层状介质地震波场理论已不适用于高分辨率地震勘探、储层横向预测、开发地震等高精度地震工作, 因此需要发展复杂非均匀介质的地震波场理论。而建立描述介质复杂性的非均匀介质模型是进行非均匀介质地震波场理论研究的重要环节。首先介绍了描述非均匀介质的方法;然后讨论了分形频谱函数模拟非均匀介质的算法及各参数对模拟结果的影响;最后根据实际资料模拟了几种不同的非均匀介质模型。模拟的结果表明, 用分形模拟的方法能模拟出更广泛类型的符合实际的非均匀介质模型。

The theory of traditional seismic wavefield is not suitable to high precision seismic exploration such as high-resolution seismic exploration, reservoir lateral prediction and development seismic etc. We should develop wavefield theory in heterogeneous media Building heterogeneous model of description complex media is an important step. Firstly, we present heterogeneous media description method. Then, we discuss the detail of inverse Fourier power spectrum method that simulates heterogeneous media and the influence of parameters. Finally, according to reality datum, we model heterogeneous media of different parameters. Modeling results show that the application of fractal simulation could widely model different types of heterogeneous media which suite for actually heterogeneous media model.