地震学报
地震學報
지진학보
Acta Seismologica Sinica
2015年
6期
973-982
,共10页
何现启%朱自强%彭凌星%戴光明
何現啟%硃自彊%彭凌星%戴光明
하현계%주자강%팽릉성%대광명
黏弹性%EDA 介质%相速度%相衰减系数%群衰减系数
黏彈性%EDA 介質%相速度%相衰減繫數%群衰減繫數
점탄성%EDA 개질%상속도%상쇠감계수%군쇠감계수
viscoelastic%EDA media%phase velocity%phase attenuation coeffi-cient%group attenuation coefficient
本文首先由 Christoffel 方程推导出黏弹性 EDA 介质中均匀、非均匀 P 波、SV 波和SH 波的相速度表达式,然后参照极端各向异性介质的相关计算方法,推导出 EDA 介质中均匀、非均匀地震波相衰减系数和群衰减系数的表达式,并通过数值计算分析了相速度、相衰减系数、群衰减系数与裂隙方位的关系。结果表明:均匀介质中 SH 波的相速度和相衰减系数均可指示裂隙的走向;非均匀介质中 SH 波相衰减系数随非均匀角的增大而增大,且其对称轴与介质对称轴的夹角也相应增加;由于地震波振幅的衰减随岩石物理性质的变化比地震波速度的变化更为灵敏,而且携带了更多的岩石物理性质信息,因此可用来探明裂隙走向、密度及含水特性,进而应用于预测、预防地下工程地质灾害事故。
本文首先由 Christoffel 方程推導齣黏彈性 EDA 介質中均勻、非均勻 P 波、SV 波和SH 波的相速度錶達式,然後參照極耑各嚮異性介質的相關計算方法,推導齣 EDA 介質中均勻、非均勻地震波相衰減繫數和群衰減繫數的錶達式,併通過數值計算分析瞭相速度、相衰減繫數、群衰減繫數與裂隙方位的關繫。結果錶明:均勻介質中 SH 波的相速度和相衰減繫數均可指示裂隙的走嚮;非均勻介質中 SH 波相衰減繫數隨非均勻角的增大而增大,且其對稱軸與介質對稱軸的夾角也相應增加;由于地震波振幅的衰減隨巖石物理性質的變化比地震波速度的變化更為靈敏,而且攜帶瞭更多的巖石物理性質信息,因此可用來探明裂隙走嚮、密度及含水特性,進而應用于預測、預防地下工程地質災害事故。
본문수선유 Christoffel 방정추도출점탄성 EDA 개질중균균、비균균 P 파、SV 파화SH 파적상속도표체식,연후삼조겁단각향이성개질적상관계산방법,추도출 EDA 개질중균균、비균균지진파상쇠감계수화군쇠감계수적표체식,병통과수치계산분석료상속도、상쇠감계수、군쇠감계수여렬극방위적관계。결과표명:균균개질중 SH 파적상속도화상쇠감계수균가지시렬극적주향;비균균개질중 SH 파상쇠감계수수비균균각적증대이증대,차기대칭축여개질대칭축적협각야상응증가;유우지진파진폭적쇠감수암석물이성질적변화비지진파속도적변화경위령민,이차휴대료경다적암석물이성질신식,인차가용래탐명렬극주향、밀도급함수특성,진이응용우예측、예방지하공정지질재해사고。
In this paper,the expressions of phase velocities for homogeneous and inhomogeneous P,SV,SH plane waves are derived from Christoffel equation. Phase attenuation coefficient and group attenuation coefficient for inhomoge-neous and homogeneous plane wave are derived by the method used for extreme anisotropic medium.The relation between phase attenuation coefficient,group attenuation coefficient and azimuth of cracks is studied through numerical calcu-lation.It is concluded that fracture can be indicative by SH wave phase velocity and attenuation coefficient in a homogeneous medium.SH wave attenuation coefficient increases with the increase of inhomogeneous angle,and the angle between its axis of symmetry and the symmetry axis of media also increases cor-respondingly in inhomogeneous medium;attenuation of seismic wave amplitude is more sensitive to variation of the rock’s physical properties than the variation of wave velocity,and it carries more information about petrophysical proper-ties.Therefore,it can be used to probe the azimuth of cracks,crack density, water content and to forecast and prevent from geological disasters in under-ground engineering.