Definition of the Subject
Forward modeling of tsunami starts from given initial condition, computes its propagation in the ocean, and calculates tsunami arrival times and/orwater heights on coasts. Once the initial condition is provided, the propagation and coastal behavior can be numerically computed on actual bathymetry(Fig. 1).
Abbreviations
- Inverse problem:
-
Unlike a forward problem which starts from a tsunami source then computes propagation in the ocean and predicts travel times and/or water heights on coasts, an inverse problem starts from tsunami observations to study the generation process. While forward modeling is useful for tsunami warning or hazard assessments, inverse modeling is a typical approach for geophysical problems.
- Shallow water (long) waves:
-
In hydrodynamics, water waves can be treated as shallow water, or long, waves when the wavelength is much larger than the water depth. In such a case, the entire water mass from water bottom to surface moves horizontally and the wave propagation speed is given as a square root of the product of the gravitational acceleration and the water depth.
- The 2004 Indian Ocean tsunami:
-
On December 26, 2004, a gigantic earthquake, the largest in the last half century in the world, occurred off the west coast of Sumatra Island, Indonesia. With the source extending more than 1,000 km through Nicobar and Andaman Islands, the earthquake generated tsunami which attacked the coasts of Indian Ocean and caused the worst tsunami disaster in history. The total casualties were about 230,000 in many countries as far away as Africa.
- Fault parameters:
-
Earthquake source is modeled as a fault motion, which can be described by nine static parameters. Once these fault parameters are specified, the seafloor deformation due to faulting, or initial condition of tsunamis, can be calculated by using the elastic dislocation theory.
- Refraction and inverse refraction diagrams (travel timemap):
-
Refraction diagram is a map showing isochrons or lines of equal tsunami travel times calculated from the source toward coasts. Inverse refraction diagram is a map showing arcs calculated backwards from observation points. The tsunami source can be estimated from the arcs corresponding to tsunami travel times.
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Satake, K. (2009). Tsunamis, Inverse Problem of. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, New York, NY. https://doi.org/10.1007/978-0-387-30440-3_570
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