岩土力学
巖土力學
암토역학
ROCK AND SOIL MECHANICS
2013年
11期
3151-3158
,共8页
饱和土%输流管道%P波%动应力集中系数%孔压集中系数
飽和土%輸流管道%P波%動應力集中繫數%孔壓集中繫數
포화토%수류관도%P파%동응력집중계수%공압집중계수
saturated soil%liquid-filled pipe%P waves%dynamic stress concentration coefficients%pore pressures concentration coefficients
根据Biot 波动理论,采用复变函数与多级坐标法,求解了P波作用下饱和土体中地下输流管道的波动散射方程,分析了管道中流体介质性质、入射波角度及管道埋深等对地下输流管道周边动应力集中系数及孔压集中系数分布的影响。计算结果表明:在低频弹性波入射时,管道周边动应力集中系数及孔压集中系数分布相对均匀,而随入射频率的增加,其分布变得复杂化,但其峰值有所减小;中低频波入射作用下,管道内为水、石油介质时,动应力集中系数和孔压集中系数较空气介质时小,而在高频波作用时情况相反;对于管道内流体介质为水时,随着入射角度的变化,应力集中分布也沿一定角度的方向发生转动,入射波自管道下方垂直入射时,管道周边动应力集中系数峰值相对较大;随埋深的增加,动应力集中系数和孔压集中系数均呈震荡减小的趋势。
根據Biot 波動理論,採用複變函數與多級坐標法,求解瞭P波作用下飽和土體中地下輸流管道的波動散射方程,分析瞭管道中流體介質性質、入射波角度及管道埋深等對地下輸流管道週邊動應力集中繫數及孔壓集中繫數分佈的影響。計算結果錶明:在低頻彈性波入射時,管道週邊動應力集中繫數及孔壓集中繫數分佈相對均勻,而隨入射頻率的增加,其分佈變得複雜化,但其峰值有所減小;中低頻波入射作用下,管道內為水、石油介質時,動應力集中繫數和孔壓集中繫數較空氣介質時小,而在高頻波作用時情況相反;對于管道內流體介質為水時,隨著入射角度的變化,應力集中分佈也沿一定角度的方嚮髮生轉動,入射波自管道下方垂直入射時,管道週邊動應力集中繫數峰值相對較大;隨埋深的增加,動應力集中繫數和孔壓集中繫數均呈震盪減小的趨勢。
근거Biot 파동이론,채용복변함수여다급좌표법,구해료P파작용하포화토체중지하수류관도적파동산사방정,분석료관도중류체개질성질、입사파각도급관도매심등대지하수류관도주변동응력집중계수급공압집중계수분포적영향。계산결과표명:재저빈탄성파입사시,관도주변동응력집중계수급공압집중계수분포상대균균,이수입사빈솔적증가,기분포변득복잡화,단기봉치유소감소;중저빈파입사작용하,관도내위수、석유개질시,동응력집중계수화공압집중계수교공기개질시소,이재고빈파작용시정황상반;대우관도내류체개질위수시,수착입사각도적변화,응력집중분포야연일정각도적방향발생전동,입사파자관도하방수직입사시,관도주변동응력집중계수봉치상대교대;수매심적증가,동응력집중계수화공압집중계수균정진탕감소적추세。
According to the Biot wave theory and the complex function combined with multi coordinate method, the wave scattering dynamical equation of liquid-filled pipe in saturated soil impacted by P waves is solved. The effects of fluid property in the pipe, incident wave angle and buried depth on the distributions of dynamic stress concentration coefficient and pore pressure concentration coefficient are analyzed. The results show that, in low frequency elastic wave incidence, dynamic stress concentration coefficient and pore pressures concentration coefficient are relatively uniform distributions around the periphery of the pipe; when the incident frequency increases, the distributions become complex, but the peak values decrease. In low or middle frequency elastic wave incidence, the dynamic stress concentration coefficient and pore pressure concentration coefficient of the pipeline filled with water or oil are relatively smaller than air medium. But in high frequency elastic wave incidence the opposite is the case. When the fluid medium in pipeline is water, the influences of the incident angle and depth of pipeline on the dynamic stress concentration coefficient and pore pressure concentration coefficient are analyzed. With the increasing of incident angle, the distribution also occurs at certain angle deflection. When the incident wave is perpendicular to the pipe, the peak value of pipe dynamic stress concentration coefficient around the periphery of the pipe is relatively large. With the increasing of depth, dynamic stress concentration coefficient and pore pressures concentration coefficient show shock decrease.