考虑用弹性板来模拟海洋表面冰盖, 将海水视为具有刚性底部的可压缩无黏流体, 在线性势流理论基础上研究了此环境下水声波 (声重力波) 的传播特性. 推导了在质量点源的脉动作用下冰水交界面位移和冰层覆盖水域声压的近似解, 探讨了弹性冰层的厚度、弹性冰层的侧向应力以及流体深度等物理量对水声波传播的影响. 研究结果发现: 随着弹性冰层厚度的逐渐增加, 冰水交界面位移会先增大后减小, 然后逐渐趋近于 0, 而冰层覆盖水域声压先保持不变, 而后逐渐减小; 弹性冰层的侧向应力对冰水交界面位移和冰层覆盖水域声压的影响并不明显; 流体深度的增加会导致冰水交界面位移和冰层覆盖水域声压均呈减小趋势.

Based on the linear theory of potential flow, the propagation characteristics of ocean-based hydro-acoustic waves (also known as acoustic-gravity waves) are studied through the use of an elastic plate model to simulate an ocean-surface ice sheet, where the seawater is regarded as an inviscid compressible fluid with a rigid bottom. Approximate solutions for the displacement at the ice-water interface and the acoustic pressure in the ice-covered ocean under the pulsation of a single mass point source are derived. The effects of the thickness and lateral stress of the elastic ice sheet and the depth of fluid on the propagation of the hydro-acoustic waves are discussed. Results show that with the gradual increase in elastic ice sheet thickness, the displacements at the ice-water interface first increase, then decrease, and finally gradually approach zero, whereas the acoustic pressure of the ice-covered ocean initially remains unchanged and then gradually decreases. The lateral stress of the elastic ice sheet has little effect on both the displacement and acoustic pressure. With the increase in the depth of fluid, both the displacement and acoustic pressure tend to decrease.