基于相速度的TTI介质射线追踪方法研究

TTI介质射线追踪决定了TTI介质建模、成像的效率和精度。在程函方程法射线追踪的基础上,提出了基于相速度的TTI介质射线追踪新策略,该策略以Hamilton公式为基础推导出相速度法射线追踪系统,再代入群速度和出射角将其转换为TTI介质射线追踪微分方程,利用龙哥库塔解微分方程得到每一步延拓的坐标和出射角。相速度法射线追踪在保证精度和稳定性的前提下,提高了计算效率,所得出的参数可用于后期层析迭代反演等。模型试算结果表明基于相速度的TTI介质射线追踪方法有效且实用。

The ray tracing for TTI medium determines the efficiency and precision of modeling and imaging in TTI medium.In this paper we proposed a new strategy named phase velocity ray tracing on the basis of eikonal equation ray tracing.This strategy established phase velocity ray tracing system based on Hamilton formula.Through substituting group velocity and emergence angle we convert the system to ray tracing differential equation for TTI medium.Then we use Runge-Kutta method to solve the differential equation and get coordinates and emergence angles for every continuation.Phase velocity ray tracing method improved the operation efficiency with high accuracy and stability,which is benefit to the later tomography iterative inversion.The results of numerical tests prove the correctness and practicality of this method.

国家高技术研究发展计划(863计划)课题(2011AA060303)资助。