水利学报
水利學報
수리학보
2014年
7期
850-857
,共8页
半空间%Rayleigh波%体波%波速%传播速度%波数
半空間%Rayleigh波%體波%波速%傳播速度%波數
반공간%Rayleigh파%체파%파속%전파속도%파수
half-space%Rayleigh wave%body waves%wave velocity%propagation velocity%wave number
从单相介质到双相及三相多孔介质，通过研究 Rayleigh波波速与体波波速之间的关系，得到了3种介质下半空间表面 Rayleigh波存在所需满足的条件，以及分析了其理论求解过程之间的联系与差异。对由两种不同定义式得到的平面弹性波传播速度进行了理论分析，并以双相多孔介质为例，通过数值计算直观地对两者进行了比较，结果表明：（1）对于快纵波（P1）和剪切波（S），两种传播速度随频率的变化曲线（即弥散曲线）重叠；（2）对于慢纵波（P2）和 Rayleigh 波，两条弥散曲线分离，两种传播速度在数值上存在一定差异；（3）两者随频率的变化趋势基本一致。弹性波波数虚部与实部的比值的数值计算结果验证了上述结论。
從單相介質到雙相及三相多孔介質，通過研究 Rayleigh波波速與體波波速之間的關繫，得到瞭3種介質下半空間錶麵 Rayleigh波存在所需滿足的條件，以及分析瞭其理論求解過程之間的聯繫與差異。對由兩種不同定義式得到的平麵彈性波傳播速度進行瞭理論分析，併以雙相多孔介質為例，通過數值計算直觀地對兩者進行瞭比較，結果錶明：（1）對于快縱波（P1）和剪切波（S），兩種傳播速度隨頻率的變化麯線（即瀰散麯線）重疊；（2）對于慢縱波（P2）和 Rayleigh 波，兩條瀰散麯線分離，兩種傳播速度在數值上存在一定差異；（3）兩者隨頻率的變化趨勢基本一緻。彈性波波數虛部與實部的比值的數值計算結果驗證瞭上述結論。
종단상개질도쌍상급삼상다공개질，통과연구 Rayleigh파파속여체파파속지간적관계，득도료3충개질하반공간표면 Rayleigh파존재소수만족적조건，이급분석료기이론구해과정지간적련계여차이。대유량충불동정의식득도적평면탄성파전파속도진행료이론분석，병이쌍상다공개질위례，통과수치계산직관지대량자진행료비교，결과표명：（1）대우쾌종파（P1）화전절파（S），량충전파속도수빈솔적변화곡선（즉미산곡선）중첩；（2）대우만종파（P2）화 Rayleigh 파，량조미산곡선분리，량충전파속도재수치상존재일정차이；（3）량자수빈솔적변화추세기본일치。탄성파파수허부여실부적비치적수치계산결과험증료상술결론。
From mono-phase media to two-phase and three-phase porous media, through studying the rela-tion between Rayleigh wave velocity and Body waves velocities,the conditions for the existence of the Ray-leigh waves at the half-space surface of those three kinds of media are obtained. Moreover, the connection and difference among their theoretical solving processes are analyzed. The two kinds of elastic wave propaga-tion velocities achieved by different definition formulas are compared theoretically. Taking two-phase porous medium as an example,numerical calculations are conducted in order to intuitively compare those two prop-agation velocities. The numerical results show that:(1) for the fast compressional wave (P1) and shear wave (S), the variation curves of the two propagation velocities with frequency, known as dispersion curves,overlap each other;(2) For the slow compressional wave (P2) and Rayleigh waves,the two disper-sion curves separate from each other, which means that discrepancy exists between the values of the two propagation velocities;(3) The variation trends of the two propagation velocities with frequency are basical-ly coincident. Finally, the numerical results of the ratio between the imaginary part and the real part of wave number verify those findings.
