摘要
通过ｚ－τ变换，把（ｘ，ｚ，ｔ）域的波动方程变换为（ｘ，τ，ｔ）域的波动方程，以分离出波动方程中速度（或弹性系数）的变化项，并利用有限差分法来计算横向各向同性介质中的合成记录。差分格式采用二阶中心差商及一阶向前差商，边界条件为吸能边界。计算结果显示了横向各向同性介质中的ｑＰ、ｑＳＶ及ｑＳＨ波；在有界面的情形下，还较清楚地反映了反射波的存在。
Withτ-P transformation,the wave equation in(x,z,t)domain aretransformed into(x,τ,t)domain to separate tlie varying term of velocity(or elasticparameter) from the propagating term, Finite- difference method is used to calculate theseismograms in 2- D transversely isotropic media.In our calculation,the first forwardand second central differencing are used.To reduce the artificial reflection,energy- absorbent boundary conditions are applied.There appear qP,qSV and qSH waves in thesynthesized sections.Also,reflected waves are seen clearly from an interface.
基金
国家自然科学基金
关键词
同性介质
地震波
差分法
z-τ变换
transversely isotropic media,seismic wave,finite-difference method, z-τ transformation
