裂缝性地层黏弹性地震多波波动方程

Viscoelastic wave equations of seismic multi-wave in fractured media

裂缝检测是目前国内外石油勘探界研究的一个热点问题 ,如何确定裂缝方位等参数是石油公司面临的难题 ,而解决该难题就要确定裂缝方位等参数与地震波场传播之间的定量关系 .但是目前所采用的裂缝性地层介质模型不能完全定量地反映裂缝的方位特征和衰减特征 .针对该问题 ,建立了具有任意裂缝方位的裂缝性地层介质模型 ;并构造了时间增量的方法 ,将非线性的卷积积分采用近似的方法实现 ,建立了以位移场表示的具有任意方位角的黏弹性方位各向异性介质的波动方程 .该波动方程定量地给出了黏弹性波场特征与裂缝走向的关系 。

In the field of the oil exploration, the research is focused on the fracture detection in recent years. The difficulty is how to determine the orientation of the crack. To solve this problem, the relationship between the wave equations and the orientation of the crack should be determined. Unfortunately, the existing wave equations cannot completely reveal these relations. This paper studies the fractured media with arbitrary azimuthal angles. The convolution integral is solved incrementally, and then the corresponding time domain wave equations are presented. The wave equations may be solved to model the wave propagation in the azimuthally anisotropic and viscoelastic media and to reveal the mechanisms of seismic multi wave propagation in fractured media.