地震工程学报
地震工程學報
지진공정학보
China Earthquake Engineering Journal
2015年
2期
559-564
,共6页
刘志军%夏唐代%黄睿%熊衍飞%郑晴晴
劉誌軍%夏唐代%黃睿%熊衍飛%鄭晴晴
류지군%하당대%황예%웅연비%정청청
势函数%Rayleigh 波%压缩波%幅值比例系数%理论分析%数值计算
勢函數%Rayleigh 波%壓縮波%幅值比例繫數%理論分析%數值計算
세함수%Rayleigh 파%압축파%폭치비례계수%이론분석%수치계산
potential function%Rayleigh wave%compressional wave%amplitude ratio coefficient%theoretical analysis%numerical calculation
分别对“考虑两种压缩波和幅值比例系数”和“考虑一种压缩波(P1或 P2波)但不考虑幅值比例系数”两种不同势函数下的半空间饱和多孔介质中 Rayleigh 波求解进行详细推导,理论分析表明“考虑两种压缩波和幅值比例系数”下 Rayleigh 波求解推导更为严密,与饱和多孔介质中存在两种压缩波的事实相一致。在研究半空间饱和多孔介质中 Rayleigh 波时应采用“考虑两种压缩波和幅值比例系数”的势函数。
分彆對“攷慮兩種壓縮波和幅值比例繫數”和“攷慮一種壓縮波(P1或 P2波)但不攷慮幅值比例繫數”兩種不同勢函數下的半空間飽和多孔介質中 Rayleigh 波求解進行詳細推導,理論分析錶明“攷慮兩種壓縮波和幅值比例繫數”下 Rayleigh 波求解推導更為嚴密,與飽和多孔介質中存在兩種壓縮波的事實相一緻。在研究半空間飽和多孔介質中 Rayleigh 波時應採用“攷慮兩種壓縮波和幅值比例繫數”的勢函數。
분별대“고필량충압축파화폭치비례계수”화“고필일충압축파(P1혹 P2파)단불고필폭치비례계수”량충불동세함수하적반공간포화다공개질중 Rayleigh 파구해진행상세추도,이론분석표명“고필량충압축파화폭치비례계수”하 Rayleigh 파구해추도경위엄밀,여포화다공개질중존재량충압축파적사실상일치。재연구반공간포화다공개질중 Rayleigh 파시응채용“고필량충압축파화폭치비례계수”적세함수。
Theoretical solutions of the Rayleigh wave in half-space saturated porous media were derived under two different potential functions corresponding to a case with two kinds of com-pressional waves and amplitude ratio coefficient and a case with a compressional wave (P1 or P2 wave)without considering the amplitude ratio coefficient,respectively.The theoretical analysis shows that the derivation of the solution of the Rayleigh waves for the case with two kinds of compressional waves and amplitude ratio coefficient is more rigorous,which is consistent with the fact that there exist two kinds of compressional waves in saturated porous media.Through numer-ical calculation,we compared the propagation velocities and attenuations of the Rayleigh wave in three different cases,namely,the case with two kinds of compressional waves and amplitude ratio coefficient,the case with P1 wave without the amplitude ratio coefficient,and the case with P2 wave without the amplitude ratio coefficient.The numerical calculation shows that there exists distinctive differences among the results obtained in the three cases above.We recommend that the potential functions that consider the two kinds of compressional waves and the amplitude ratio co-efficient be applied when studying Rayleigh waves in half-space saturated porous media.