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 ,描述了黏弹性地震波在这种介质中的传播机理 Crack detection is a hot issue in the field of petroleum exploration at home and abroad. How to determine fracture azimuth and other parameters is a difficult problem faced by petroleum companies. To solve this problem, it is necessary to determine the quantitative relationship between fracture azimuth and seismic wave field propagation, At present, the fractured stratigraphic medium model can not completely reflect the azimuthal and attenuation characteristics of the fracture quantitatively.Based on this problem, a fractured stratigraphic medium model with arbitrary fracture orientation is established, and the method of time increment is constructed, The linear convolution integral is achieved by the approximate method, and the wave equation of viscoelastic azimuthal anisotropy medium with arbitrary azimuth angle is established. The wave equation gives quantitatively the viscoelastic wave field characteristics and the crack trend , Describes the propagation mechanism of viscoelastic seismic waves in this medium