基于稳定逆时传播算子的黏声介质最小二乘逆时偏移

摘要

基于GSLS模型黏声介质二阶拟微分方程，采用伪谱法进行数值模拟。针对黏声介质逆时传播过程中产生的高频不稳定问题，提出加入规则化算子对其进行消除的方法，构建了稳定的逆时传播算子。在最小二乘反演的基础上，将黏声介质逆时偏移与最小二乘思路相结合，发展了带有振幅补偿的黏声介质最小二乘逆时偏移（ LSRTM）。 Marmousi模型结果表明：相对于常规最小二乘逆时偏移，黏声介质最小二乘逆时偏移校正了地层的黏滞性，得到了更加精确可靠的保幅成像剖面。%Based on a single SLS isotropic medium second⁃order pseudo⁃differential equation, the authors used the pseudo⁃spectral method to calculate numerical simulation.The authors propose introduction of regularization operator method to eliminate high⁃frequency instability caused by the backward propagation inverse process so as to build a stable reverse⁃time propagator and to achieve the ampli⁃tude compensating visco⁃acoustic medium least⁃squares reverse time migration.Marmousi model shows that,compared with least⁃squares reverse⁃time migration visco⁃acoustic least⁃squares reverse⁃time migration can correct the effect of viscosity and produce more accurate and better reliable amplitude preservation imaging section.