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实际的地震勘探遇到的是复杂随机介质,常规层状介质地震波场理论已经不能适应于高精度地震工作,需要进一步发展非均匀介质地震波场理论.本文首次给出了运用分形方法建立三维随机介质的具体算法;其次引入了三维锥形函数来压制建模时产生的离散误差;最后,通过建立几种三维随机介质模型来讨论尺度系数和豪斯特指数对模拟结果的影响,并且简单构建了区域多尺度随机介质模型.模拟的结果表明,分形方法可以更方便、灵活地模拟三维随机介质.针对南海某地区生物礁储层非均质性强的特点,在建立生物礁速度模型时,对目标区充填了多尺度的分形随机介质,波动方程正演模拟结果表明,分形随机介质可以用来描述生物礁等非均质性储层.
The actual seismic exploration is a complex random medium, and the seismic wavefield theory of conventional layered media can not adapt to high-precision seismic work, so it is necessary to further develop the seismic wavefield theory of inhomogeneous media.In this paper, the fractal method is used to establish three-dimensional random media The third is to introduce a three-dimensional pyramid function to suppress the discrete errors generated in the modeling. Finally, we discuss the influence of the scaling factor and the Hausdorff index on the simulation results by establishing several three-dimensional random medium models. Regional multi-scale random media model.The simulation results show that the fractal method can more easily and flexibly simulate the three-dimensional random media.Aiming at the characteristics of the reef reservoir in the South China Sea with strong heterogeneity, when establishing the reef velocity model, The target area is filled with multi-scale fractal random media. The forward modeling of the wave equation shows that the fractal random medium can be used to describe heterogeneous reservoirs such as reefs.