A stable TTI reverse time migration and its implementation

摘要: Modeling and reverse time migration based on the tilted transverse isotropic (TTI) acoustic wave equation suffers from instability in media of general inhomogeniety, especially areas where tilt abruptly changes. We develop a stable TTI implementation original elastic anisotropic equation. We, specifically, derive vertical transversely system equations that is equivalent to their counterpart introduce self-adjoint differential operators rotated coordinates stabilize equations. Compared conventional formulations, new does not add numerical complexity; solution can be found by either pseudospectral method or high-order explicit finite difference scheme. demonstrate examples our provides high-quality images.