平面波在粘滞性界面上的反射特征研究

当介质中存在按照一定方向排列的裂隙时,会在该区域形成接触程度不好的界面.当有地震波传播时,界面两侧的质点不再满足位移连续的条件,位移差与该点的应力有关.从而引起质点间的滑动,形成粘滞性界面.界面的这种特性可以用切向柔量和法向柔量来表示,柔量值越大,界面的接触程度和质点位移的连续性都越差.文中详细推导了平面波在粘滞性界面上的反射和透射系数公式,通过数值算例证明了粘滞性界面上的反射系数与入射波频率有关的性质.并说明了界面的粘滞性会在一定程度上影响到反射波的AVO特性.且当平面P波入射时,法向柔量对反射P波和转换波的影响均大于切向柔量的影响.     

Joint PP‐ and PSV‐wave amplitudes versus offset and azimuth inversion for fracture compliances in horizontal transversely isotropic media

We propose a robust approach for the joint inversion of PP‐ and PSV‐wave angle gathers along different azimuths for the elastic properties of the homogeneous isotropic host rock and excess compliances due to the presence of fractures. Motivated by the expression of fluid content indicator in fractured reservoirs and the sensitivity of Lamé impedances to fluid type, we derive PP‐ and PSV‐wave reflection coefficients in terms of Lamé impedances, density, and fracture compliances for an interface separating two horizontal transversely isotropic media. Following a Bayesian framework, we construct an objective function that includes initial models. We employ the iteratively reweighted least‐squares algorithm to solve the inversion problem to estimate unknown parameters (i.e., Lamé impedances, density, and fracture compliances) from PP‐ and PSV‐wave angle gathers along different azimuths. Synthetic tests reveal that the unknown parameters estimated using the joint inversion approach match true values better than those estimated using a PP‐wave amplitude inversion only. A real data test indicates that reasonable results for subsurface fracture detection are obtained from the joint inversion approach.