论文标题
使用椭圆形近似值的垂直地震曲线的正交裂缝的方位角依赖性
On the azimuthal dependence of orthorhombic fractures for vertical seismic profiles using the ellipsoidal approximation
论文作者
论文摘要
以迁移速度进行旅行时间的分析是用于探索和监测石油和天然气储层的最广泛使用的地震信号处理技术之一。在旅行时间分析中，各向异性弹性介质具有断裂，了解与入射纵向的接口的转换点以及反射的横向弹性响应冲动，这些冲动考虑到方位角依赖性对于在多组分调查中获得的地震数据分析以及在储层中对地震的正确解释都很重要。此后，这项工作表明了如何使用椭圆形近似值在动力学考虑下使用椭圆形的正骨弹性介质来得出纵向反应冲动$ p -s_i $转换点的分析表达式。当将弹性缓慢用作解决基督教方程的主要理论工具时，这些表达式可用于具有孔径小的极性和方位角依赖性的垂直地震曲线。我们还解释了弹性刚度$ c_ {13} $和$ c_ {23} $的椭圆形反转过程中的一些差异。
The analysis of travel times with move-out velocities represents one of the most widely used seismic signal processing techniques for the exploration and monitoring of Oil and Gas reservoirs. In travel time analysis for anisotropic elastic media with fractures, the knowledge of the conversion point at interfaces with incident longitudinal, and reflected transversal elastic response impulses that take into account the azimuthal dependence is important for seismic data analysis acquired in multicomponent surveys, and for the correct interpretation of seismic in reservoirs. Henceforth, this work shows how to derive analytical expressions for the longitudinal to transverse response impulse $P -S_i$ conversion points using the ellipsoidal approximation for fractured orthorhombic elastic media under kinematical considerations. These expressions can be used for vertical seismic profiles with small polar angles of aperture and azimuthal dependence in orthorhombic media when the elastic slowness is used as a main theoretical tool to solve the Christoffel equation. We also explain some of the differences within the ellipsoidal inversion procedure of the elastic stiffnesses $c_{13}$ and $c_{23}$.
