P-SV波展平变换的精确求解——以地震面波为例

以地震面波问题为例，提出P——SV波展平变换的精确求解方法并以此为基础讨论了近似求解方法的适用性及适用范围. 结果表明，展平变换指数m对最终结果没有显著影响，因此可选取任意值；在短波近似条件下，展平变换的近似解法是适当且合理的；展平变换的近似解法比精确解法的效率高一倍. 对于频率较低的问题，应采用精确的求解方法. 

Exact solution of earth-flattening transformation for P-SV waves: Taking surface wave as an example

Taking surface wave as an example,this paper proposed an exact solution of earth-flattening transformation for P-SV waves and discussed the applicability of the approximate methods.The results show that the transform parameter m has little influence on the final results,and on the condition of short wave approximation,approximate earth-flattening transformation is suitable.In addition,the efficiency of approximate transformation is twice of that of exact transformation.For low frequency problems we should use exact earth-flattening transformation.