计算层状介质中轴对称柱面瑞利面波频散函数的δ矩阵法  

THE δ MATRIX METHOD FOR THE DISPERSION FUNCTION COMPUTATION OF AXISYMMETRICAL CYLINDRICAL RAYLEIGH WAVE IN MULTILAYERED MEDIA

作　　者：凡友华[1] 肖柏勋 刘家琦[1] 

机构地区：[1]哈尔滨工业大学航天工程与力学系,黑龙江哈尔滨150001 [2]长江工程地球物理勘测研究院,湖北武汉430010

出　　处：《物探与化探》2001年第2期109-116,共8页Geophysical and Geochemical Exploration

基　　金：国家自然科学基金! (199710 2 1) ;中国石油天然气集团公司石油大学物探重点实验室开放基金! (GPKL0 10 1)资助

摘　　要：笔者将δ矩阵法应用于计算层状介质中轴对称柱面瑞利面波的频散函数 ,得到了六阶δ矩阵法、五阶δ矩阵法、快速δ矩阵法 3种方法 ,很好地解决了高频数值精度丢失问题以及高频数值溢出问题 ,并提高了计算速度 ,数值计算及工程应用验证了上述方法的有效性 ,且表明了这些方法也完全适用于平面瑞利面波频散曲线的求取问题。In this paper, the authors applied the δ matrix method to the computation of dispersion function of axisymmetrical cylindrical Rayleigh wave in multilayered media. Three methods were deduced, namely 6-order δ matrix algorithm, 5-order δ matrix algorithm and fast δ matrix algorithm. The problem of losing numerical precision and that of numerical overflow under high frequency were solved satisfactorily, and the computation speed was enhanced. The numerical computation and the application to engineering have verified the authors' methods and demonstrated that these methods can also be used to solve the dispersion curves of plane Rayleigh wave in multilayered media.

关 键 词：面波 瑞利波 层状介质 δ知阵法 轴对称柱面 频散函数 地震勘探 

分 类 号：P631.4[天文地球—地质矿产勘探]