地震学报2009，Vol.31Issue(4)：377-384,8.
广义反射-透射系数算法的无量纲化
Making the calculation of generalized reflection-transmission coefficients dimensionless
摘要
Abstract
The calculation of dispersion curves of Rayleigh wave in horizontal multilayered medium has been a concerned subject. Chen's generalized reflec-tion-transmission coefficient method has good accuracy and stability, but in the calculation of matrix E, which plays a decisive role in the algorithm, has dimen-sional elements, and the different elements have an order of magnitude differ-ence. By making the generalized reflection-transmission coefficient calculation dimensionless, we obtained a more concise formula system for computing the dispersion function of Rayleigh wave. We calculated the ratio ε of the largest el-ement over the smallest in the matrix E using the improved and the original al-gorithm, respectively. We found that in the improved algorithm the elements of matrix E have at most one order of magnitude difference, while in the original algorithm the difference reaches to eleven orders. This indicates that the im-proved approach has higher accuracy. It is expected that the improved general-ized reflection-transmission coefficient method is more applicable to the compu-tation of Rayleigh wave dispersion.关键词
广义反射-透射系数/无量纲/频散/瑞利波Key words
generalized reflection-transmission coefficient/dimensionless/dis-persion/Rayleigh wave分类
天文与地球科学引用本文复制引用
袁腊梅,凡友华,孙书荣..广义反射-透射系数算法的无量纲化[J].地震学报,2009,31(4):377-384,8.基金项目
国家自然科学基金项目(40604012)资助. （40604012）
