Mega-Tsunami equations

1. Jan 18, 2005

Orion1

Mega-Tsunami

$$I_0 = 2.390*10^{-7} \; Megatons$$
$$H_m = 2^m$$
$$\tag{3} m = 2.61M - 18.44 = \log_2 H_m$$
$$M = \log_{10} \frac{I_m}{I_0}$$
$$M = \frac{\log_2 H_m + 18.44}{2.61} = \log_{10} \frac{I_m}{I_0} = \log_{10} I_m - \log_{10} I_0$$
$$f_1 = \left( \left( \frac{\log_2 H_m + 18.44}{2.61} \right) + \log_{10}I_0 \right) = \log_{10} I_m$$
$$I_m = 10^{f_1}$$

These are my equations for Tsunami energy vs. wave height. Attachments 001-002 are development charts, which appear correct. Chart 003 is the chart generated from these equations and the one I am attempting to prove.

If anyone could post the proof for the Iida equation linking Iida magnitude (m) with the earthquake magnitude (M), which triggered the Tsunami from equation (3) above and reference 1 below, and verify that my equations and chart 003 are properly formatted and correct, it would be greatly appreciated.

Reference:
http://www.enseeiht.fr/hmf/travaux/CD0001/travaux/optsee/hym/2/pa02.htm
https://www.physicsforums.com/attachment.php?attachmentid=2237
https://www.physicsforums.com/attachment.php?attachmentid=2238

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