Quick and Dirty Tsunami Runup Estimation - AKA 'The ...
Quick and Dirty Tsunami Runup Estimation -
a.k.a. "The Formula Based Approach" by Steven N. Ward
The formula based approach to estimate tsunami height does not require detailed waveform simulation, but it does try to embody the same processes (generation, wave spreading, shoaling, runup) as does the simulation based approach. Naturally, the formula based approach uses simplified approximations of these processes. Certain parameters in the formula based approach are obtained by fitting output of many runs of full waveform simulator; so in that sense, the formula and simulation based approaches are linked.
According to the formula based approach, wave runup is
[pic] (1)
where, A0 is the initial tsunami source amplitude, P is the propagation loss (less than 1.0), S is the shoaling correction (usually more than 1.0), and B is the beaching function.
Initial Tsunami Source Amplitude A0
For an earthquake
[pic] (2)
where (u is the earthquake slip and ( is the fraction of slip that transforms into tsunami-making uplift. This factor depends upon the style of the fault
[pic] (3)
where ( and ( and are the dip 0 ................
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