论文标题
通过移动大气压力产生的水波：与2022 Tonga事件应用的理论分析
Water waves generated by moving atmospheric pressure: Theoretical analyses with applications to the 2022 Tonga event
论文作者
论文摘要
1DH（分散性和非分散性）和2DH轴对称（近似，非分散性）分析溶液都是通过移动的大气压产生的水波得出的。在1DH中，可以识别三个波分量：按照线性频率分散关系，锁定波传播的锁定波，以大气压力的速度，$ c_p $和两个相反方向传播的自由波组件。在超临界条件下（$ c_p> c $，这是水波的最快腹部），领先的水波是锁定波，并且具有相同的符号（即相位），而尾随的自由波具有相反的迹象。在亚临界条件下（$ c> c_p $），移动最快的自由波组件线条及其自由表面高程具有与大气压相同的标志。对于长时间的大气压力干扰，诱导的自由表面轮廓模仿了大气压力的表面。 2DH问题涉及在径向方向上以$ O（r^{ - 1/2}）$衰减的轴对称大气压力。由于对称性，仅出现两个波浪组件，锁定和自由。 分析了汤加火山喷发事件期间捕获的海啸飞镖数据。需要校正以隔离自由表面高程数据。校正后的DART数据与分析解决方案之间的比较，包括领先的锁定波的到达时间和后尾的自由波以及振幅比率，在刻度上是一致的。它们之间的差异突出了问题的复杂性。
Both 1DH (dispersive and non-dispersive) and 2DH axisymmetric (approximate, non-dispersive) analytical solutions are derived for water waves generated by moving atmospheric pressures. In 1DH, three wave components can be identified: the locked wave propagating with the speed of the atmospheric pressure, $C_p$, and two free wave components propagating in opposite directions with the respective wave celerity, according to the linear frequency dispersion relationship. Under the supercritical condition ($C_p > C$, which is the fastest celerity of the water wave) the leading water wave is the locked wave and has the same sign (i.e., phase) as the atmospheric pressure, while the trailing free wave has the opposite sign. Under the subcritical condition ($C >C_p$) the fastest moving free wave component leads and its free surface elevation has the same sign as the atmospheric pressure. For a long atmospheric pressure disturbance, the induced free surface profile mimics that of the atmospheric pressure. The 2DH problem involves an axisymmetric atmospheric pressure decaying in the radial direction as $O(r^{-1/2})$. Only two wave components, locked and free, appear due to symmetry. The tsunami DART data captured during Tonga's volcanic eruption event is analyzed. Corrections are necessary to isolate the free surface elevation data. Comparisons between the corrected DART data and the analytical solutions, including the arrival times of the leading locked waves and the trailing free waves, and the amplitude ratios, are in agreement in order-of-magnitude. The differences between them highlight the complexity of problems.
