计算物理
計算物理
계산물리
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2001年
1期
37-42
,共6页
姚桂锦%王克协%马俊%伍先运
姚桂錦%王剋協%馬俊%伍先運
요계금%왕극협%마준%오선운
声波测井%柱面Love波%频散方程%SH波场%横波速度
聲波測井%柱麵Love波%頻散方程%SH波場%橫波速度
성파측정%주면Love파%빈산방정%SH파장%횡파속도
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.
對貼井壁環型剪切源在柱狀雙層彈性介質中激髮的SH波場進行瞭理論求解,導齣瞭柱麵Love波頻散方程,討論瞭柱麵Love波存在的條件及其區域.通過數值計算攷察瞭柱麵Love波的頻散特性和激髮彊度,髮現最低階柱麵Love波具有截止頻率,這與平麵半空間雙層彈性介質模型下的Love波無截止頻率的特徵不同.漸近分析與數值攷察都錶明,井徑r1→∞時,柱麵Love波頻散方程趨嚮平麵雙層半空間的Love波方程,柱麵Love波的截止頻率趨于零.全波計算還顯示用激髮SH波來探測侵入帶外原狀地層的橫波信息是一箇十分簡潔的途徑.
대첩정벽배형전절원재주상쌍층탄성개질중격발적SH파장진행료이론구해,도출료주면Love파빈산방정,토론료주면Love파존재적조건급기구역.통과수치계산고찰료주면Love파적빈산특성화격발강도,발현최저계주면Love파구유절지빈솔,저여평면반공간쌍층탄성개질모형하적Love파무절지빈솔적특정불동.점근분석여수치고찰도표명,정경r1→∞시,주면Love파빈산방정추향평면쌍층반공간적Love파방정,주면Love파적절지빈솔추우령.전파계산환현시용격발SH파래탐측침입대외원상지층적횡파신식시일개십분간길적도경.
SH wave field excited by circumferential shear source incylindrically 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.