Comparison of Long-Wave and Potential Models of Tsunami Generation by a Landslide Body Using Analytical Solutions

Based on analytical solutions to the problem of the generation of gravity surface waves during the motion of a rectangular body along the bottom, a comparative analysis of wave disturbances calculated within the framework of linear long-wave and potential theories was performed. It is shown that for conditions characteristic of real underwater landslides, the long-wave theory significantly (up to several orders) overestimates the wave energy if the horizontal dimensions of the landslide body are comparable to the depth or less than the depth. In this regard, the application of the equations of the long-wave theory to the description of landslide tsunamis should be limited to cases of extremely extended landslide bodies.