P-SV快慢横波旋转分离公式研究

P-SV FAST AND SLOW SHEAR WAVE ROTARY SPLITTING EQUATIONS

当P -SV横波穿越裂隙介质时会分裂成平行裂隙走向的快横波和垂直裂隙走向的慢横波 ,在某一时刻 ,快慢横波的偏振在空间具有不同的组合形式。文章研究了旋转分离公式与偏振方向和旋转方向的关系 ,推导出了快慢横波不同组合形式的分离公式 ,其中顺时针旋转方向和逆时针旋转方向各有四个公式表述 ;同时还分析了公式的差异 ,并用实例进行了验证 ;提出了快慢横波传播过程中应用公式判别偏振情况的能量投影准则和快慢横波同相准则。通过实际资料的处理 。

When passing through the fracture medium, the P - SV shear waves will split apart into the fast shear waves parallel to fracture strike and the slow shear waves perpendicular to fracture strike. At one moment, the polarizations of the fast and slow shear waves are of different combination shapes in space. The relations between the rotary splitting equations and the polarization direction and rotary direction are studied; the splitting equations corresponding to the different combination shapes of the fast and slow shear waves are derived, in which the clockwise rotation combination and counter clockwise rotation combination are expressed by four equations respectively; the differences between these equations are analyzed and verified by some ca ses; the energy projection criteria of identifying the polarizations by applying the equations in the course of fast and slow shear wave propagation and the in-phase criteria of the fast and slow shear waves are put forward in the paper. Through actual data processing, it was indicated that the fast and slow shear waves could be accurately split apart by use of these methods.