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17.2: Tsunamis

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    30176
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    Map showing the timewise progression of the tsunami generated by the large earthquake in the Aleutian Trench on April 1, 1946. Plots showing the changes in sea level during the tsunami.
    Figure \(\PageIndex{1}\): Left: Hourly positions of leading edge of tsunami generated by the large earthquake in the Aleutian Trench on April 1, 1946 at 1:59 AM Hawaiian time (12:59 GMT). Right, top: Sealevel recorded by a river gauge in the estuary of the Waimea River. Right, lower: Map of Kauai showing the heights reached by the water (in meters above lower low water) during the tsunami, wave fronts, orthogonals, and submarine contours. Times refer to the computed arrival time of the first wave. After Shepard, MacDonald, and Cox (1950).

    Tsunamis are low-frequency ocean waves generated by submarine earthquakes. The sudden motion of sea floor over distances of a hundred or more kilometers generates waves with periods of 15–40 minutes (figure \(\PageIndex{1}\)). A quick calculation shows that such waves must be shallow-water waves, propagating at a speed of 180 m/s and having a wavelength of 130 km in water 3.6 km deep (figure \(\PageIndex{2}\)). The waves are not noticeable at sea, but after slowing on approach to the coast, and after refraction by sub-sea features, they can come ashore and surge to heights ten or more meters above sea level. In an extreme example, the great 2004 Indian Ocean tsunami destroyed hundreds of villages, killing at least 200,000 people.

    Height of tsunami waves four hours after the great M9 Cascadia earthquake off the coast of Washington on 26 January 1700, calculated by a finite-element, numerical model
    Figure \(\PageIndex{2}\): Tsunami waves four hours after the great M9 Cascadia earthquake off the coast of Washington on 26 January 1700 calculated by a finite-element, numerical model. Maximum open-ocean wave height, about one meter, is north of Hawaii. After Satake et al. (1996).

    Shepard (1963, Chapter 4) summarized the influence of tsunamis based on his studies in the Pacific.

    1. Tsunamis appear to be produced by movement (an earthquake) along a linear fault.
    2. Tsunamis can travel thousands of kilometers and still do serious damage.
    3. The first wave of a tsunami is not likely to be the biggest.
    4. Wave amplitudes are relatively large shoreward of submarine ridges. They are relatively low shoreward of submarine valleys, provided the features extend into deep water.
    5. Wave amplitudes are decreased by the presence of coral reefs bordering the coast.
    6. Some bays have a funneling effect, but long estuaries attenuate waves.
    7. Waves can bend around circular islands without great loss of energy, but they are considerably smaller on the backsides of elongated, angular islands.

    Numerical models are used to forecast tsunami heights throughout ocean basins and the inundation of coasts. For example, NOAA’s Center for Tsunami Research uses the Method of Splitting Tsunami most model (Titov and Gonzalez, 1997). The model uses nested grids to resolve the tsunami wavelength; it propagates the wave across ocean basins, and then calculates run-up when the wave comes ashore. It is initialized from a ground deformation model that uses measured earthquake magnitude and location to calculate vertical displacement of the sea floor. The forcing is modified once waves are measured near the earthquake by seafloor observing stations.


    This page titled 17.2: Tsunamis is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Robert H. Stewart via source content that was edited to the style and standards of the LibreTexts platform.