物探与化探2016，Vol.40Issue(1)：135-142,8.DOI:10.11720/wtyht.2016.1.24
稳定的二维TTI介质一阶qP波方程RSGFD数值模拟
RSGFD numerical simulation of stable 2D TTI first-order qP-wave equations
摘要
Abstract
Compared with VTI qP-wave modeling,TTI qP-wave numerical simulation method which considers dip angle factor could be more accurate in describing the characteristics of wave-field propagation in real anisotropic media.Because of the rapid change of dip an-gle in TTI media,using the conventional acoustic approximated method may cause numerical instability.In this paper,the authors first derived the stable TTI second-order qP-wave equations by introducing an anisotropic control parameter to ensure the stability of qP-wave propagation.Then,the equivalent first-order stress-velocity forms were deduced through introducing the pseudo-velocity components of the wave-fields,and the corresponding PML boundary condition was given.Finally,the authors implemented accurate numerical simula-tion using the optimal rotated stagger-grid finite-difference ( RSGFD) method. Numerical results demonstrate that TTI first-order qP-wave equations can describe the kinematics features of qP-wave effectively and stably,and the application of optimal RSGFD method can acquire accurate synthetic seismic recordings and enhance computational efficiency relatively.关键词
TTI介质/一阶应力—速度/数值模拟/旋转交错网格有限差分/控制参数/稳定性/PML边界条件Key words
TTI media/first-order stress-velocity/numerical simulation/RSGFD/control parameter/stability/PML boundary condition分类
天文与地球科学引用本文复制引用
王小丹,印兴耀,杨富森..稳定的二维TTI介质一阶qP波方程RSGFD数值模拟[J].物探与化探,2016,40(1):135-142,8.基金项目
国家自然科学基金(41204085) （41204085）
国家重点基础研究发展计划("973计划")项目(2013CB228604)共同资助 （"973计划"）
