波前扩展法求解各向异性介质的程函方程

Using the wavefront spreading method to solve the eikonal equation for anisotropic media

1. 中国新星石油公司石油物探研究所, 南京 210014;2. 南京机电学校, 南京 210016;3. 中科院地球物理研究所, 北京 1O0l0l

Research Institute of Geophysical Prospecting for Petroleum, CNSPC, Nanjing 210014

我们根据广义虎克定律导出Z轴对称的各向异性介质的程函方程。基于Huygens原理和类似于各向同性介质的有限差分法, 用波前扩展法求解各向异性介质的程函方程, 克服了Vidal方法中有违背因果律的不足。理论计算结果充分显示了该方法的快速、灵活、方便的优点.

According to the generalized Hookels 1aw, we derive the eikonal equation for the anisotropicmedia with z-axis of symmetry. The wave front spreading method has been used to solve theeikonal equation for the anisotropic media on the basis of the Huygens' principle and the methodsimi1ar to the finite-difference method for the isotropic media. It overcomes the defects inviolationof the causal laws in Vidal's method. The theoretical calculation results demonstrate that themethod is fast, flexible, and convenient.