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1-D Wave Propagation Techniques in Foundation Engineering

机译：基础工程中的一维波传播技术

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The guided wave approach to wave propagation in cylindrical concrete piles and drilled shafts to show the limits of conventional interpretations of surface reflection methods. The solutions to the dispersion equation for both longitudinal and flexural wave propagation and their implications are presented. Theoretical results concerning propagation velocity, attenuation, and displacements are presented. The results show that relatively constant propagation velocities of longitudinal waves in sonic echo and impulse response tests are limited to relatively low frequencies as a function of the diameter of a pile or shaft. On the other hand, flexural waves are dispersive at low frequencies and only become constant at relatively high frequencies. Implications of these results are illustrated for deep foundations and bender element tests. Comparisons are made between the geometric attenuation of longitudinal and flexural stress waves in concrete piles and shafts. Additional limitations of surface reflection tests arise from the stiffness of the soil adjacent to the pile, soil stratigraphy, variability in propagation velocity, and the presence of any intervening structure between the impact and the deep foundation element.
机译：导波方法在圆柱混凝土桩和钻孔井中传播波，以显示表面反射方法的常规解释的局限性。给出了纵向和弯曲波传播的色散方程的解及其含义。给出了有关传播速度，衰减和位移的理论结果。结果表明，在声波回波和脉冲响应测试中，纵波的传播速度相对恒定，但仅限于相对低的频率，该频率是桩或竖井直径的函数。另一方面，挠曲波在低频下是分散的，并且仅在相对高频下才变得恒定。这些结果对深层基础和弯管机元件测试的意义进行了说明。比较了混凝土桩和竖井中纵向和弯曲应力波的几何衰减。表面反射测试的其他局限性来自邻近桩的土壤的刚度，土壤地层，传播速度的变化以及冲击波与深层基础单元之间是否存在任何中间结构。

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