柱面Love波频散分析与SH波场的数值计算

计算物理 ›› 2001, Vol. 18 ›› Issue (1): 37-42.

柱面Love波频散分析与SH波场的数值计算

姚桂锦, 王克协, 马俊, 伍先运

吉林大学物理系, 吉林长春 130023

收稿日期:1999-09-02 修回日期:1999-09-02 出版日期:2001-01-25 发布日期:2001-01-25
作者简介:姚桂锦(1970-),male,Shandong,Lecturer,PhD,theory and application of acoustic logging.
基金资助:
Supported by the NationaI NaturaI Science Foundation of China (49674226)

DISPERSION ANALYSIS OF CYLINDRICAL LOVE WAVES AND NUMERICAL CALCULATION OF SH WAVES FIELD

YAO Gui-jin, WANG Ke-xie, MA Jun, WU Xian-yun

Department of Physics, Jilin University, Changchun 130023, P R China

Received:1999-09-02 Revised:1999-09-02 Online:2001-01-25 Published:2001-01-25
Supported by:
Supported by the NationaI NaturaI Science Foundation of China (49674226)

摘要/Abstract

摘要： 对贴井壁环型剪切源在柱状双层弹性介质中激发的SH波场进行了理论求解,导出了柱面Love波频散方程,讨论了柱面Love波存在的条件及其区域.通过数值计算考察了柱面Love波的频散特性和激发强度,发现最低阶柱面Love波具有截止频率,这与平面半空间双层弹性介质模型下的Love波无截止频率的特征不同.渐近分析与数值考察都表明,井径r₁→∞时,柱面Love波频散方程趋向平面双层半空间的Love波方程,柱面Love波的截止频率趋于零.全波计算还显示用激发SH波来探测侵入带外原状地层的横波信息是一个十分简洁的途径..

关键词: 声波测井, 柱面Love波, 频散方程, SH波场, 横波速度

Abstract: SH wave field excited by circumferential shear source in cylindrically double layered media is theoretically analysed.Dispersion equation of cylindrical Love waves (guide waves) has been derived.Both existence condition and existence range of cylindrical Love waves are discussed.Dispersion and excitation of cylindrical Love waves are investigated by numerical calculation.It is discovered that the lowest order cylindrical Love waves have cut off frequency,which differs from Love waves in half space with horizontally double layered elastic media.The asymptotic expression of dispersion equation of cylindrical Love waves as well radius r₁→∞ consistently tends to the dispersion equation in the horizontal half space case,and cut off frequency tends to zero.The transient full waveform calculation is also calculated and illustrated, showing that realizing direct shear wave logs through exciting SH wave would be a more forthright way.

Key words: acoustic logging, cylindrical Love waves, dispersion equation, SH waves field, shear velociL

中图分类号:

TE15

姚桂锦, 王克协, 马俊, 伍先运. 柱面Love波频散分析与SH波场的数值计算[J]. 计算物理, 2001, 18(1): 37-42.

YAO Gui-jin, WANG Ke-xie, MA Jun, WU Xian-yun. DISPERSION ANALYSIS OF CYLINDRICAL LOVE WAVES AND NUMERICAL CALCULATION OF SH WAVES FIELD[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(1): 37-42.

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