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从矢量点乘引出的频散处理方法 被引量:2

Dispersion Curves Processing with the Quantity Product of Two Unit Vectors.
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摘要 2个单位矢量的点乘积 ,既数量积等于这 2个矢量的夹角余弦 ,它反映了这 2个矢量之间相互平行的包括重叠、垂直、反向等状态 ,其值愈大则这 2个矢量的状态愈相似 ,这种状态称为相似度。从它出发导出了 2个复数、2组矢量 ,直到 2组复数的相似度。用 2组复数的相似度处理频散波可以得到它的频散曲线 ,计算非常简单而快速。最后针对人工合成和实际测井的频散波进行了处理 。 The quantity product of two unit vectors equals the cosine of angle between the two vectors. The product represents that the two vectors are in the same direction or vertical each other,or in opposite direction. The higher the product,the more resemblance the two vectors. So product of two unit vectors is called as the fitness of the two vectors, from which we obtained the resemblance of two complex, two sets of vectors,and hense ,two sets of complex. It is very simple and quick to calculate the array received disperse waves for their dispersion curves using the resemblance of two sets of complex. Finally the paper showed the processed results of theoretical and practical logging disperse waves.
出处 《测井技术》 CAS CSCD 2001年第5期335-341,共7页 Well Logging Technology
关键词 声波测井 矢量 复数 总乘积 频散处理方法 频散曲线 频谱 相速度 vector complex dispersion dispersion curve frequency spectrum phase velocity
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参考文献1

  • 1[1]Bertram Nolte,Rama Rao and Xiaojun Huang.Disperse Analysis of Split Flexural Waves.1997

同被引文献13

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