Calculating Mega-Tsunami Energy and Wave Height Equations with Proofs and Charts

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The discussion centers on the relationship between tsunami energy and wave height, utilizing specific equations to quantify this relationship. The equations provided relate the tsunami's energy (I_m) to its height (H_m) and include a reference to the Iida equation, which connects earthquake magnitude with tsunami generation. There is a request for verification of the equations and a chart derived from them, indicating a focus on accuracy in scientific modeling. Additionally, the thread touches on seismicity patterns observed before major earthquakes, noting an initial increase in seismic activity followed by a decrease, which is attributed to stress accumulation in geological faults. The recent seismic activity in various regions, including a 4.7 magnitude earthquake near Melbourne and a 6.5 magnitude quake in the Philippines, is also mentioned, highlighting ongoing tectonic movements in the area.
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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.

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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
https://www.physicsforums.com/showthread.php?t=57841&page=1
 

Attachments

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i came across seismicity rate change before major quake..
and also changes in majority of large magnitude earthquake...

it is usually seen that before major earthquakes there is first increase in seismicity rate and then a sudden decrease in seismicity...i understand this decrease in seismicity that i must be due to stress build up in the faults..but y is this increase ?
if this increase which we are considering a foreshock is aftershock of some previous earthquake then increase is understood as fall in stress ...if there is any better earthquake precursors??...
which is this most studied earthquake precursors?
 
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http://news.yahoo.com/s/afp/20090306/wl_asia_afp/australiaquake

MELBOURNE (AFP) – Australia's second-largest city, Melbourne, was shaken by an earthquake Friday, but police said there were no immediate reports of damage or casualties.

. . . .
The United States Geological Survey said the 4.7 magnitude quake struck about 96 kilometres (59 miles) southeast of Melbourne shortly before 9.00 pm (1000 GMT) at a depth of 10 kilometres.
. . . .
"We are in Gippsland in Krowera, and the Earth tremor sounded like an explosion here," another resident said.

"[It] felt like something very big had hit the house. Our power also went out for about eight to 10 minutes."
. . . .

Magnitude 4.7
Date-Time:
Friday, March 06, 2009 at 09:55:38 UTC
Friday, March 06, 2009 at 08:55:38 PM at epicenter

Location 38.377°S, 145.714°E
Depth 10 km (6.2 miles)

90 km (55 miles) SE of MELBOURNE, Victoria, Australia
120 km (75 miles) ESE of Geelong, Victoria, Australia

Not a biggie.

Earthquakes
Magnitude 6.9 KERMADEC ISLANDS REGION February 18, 2009
Magnitude 7.2 KEPULAUAN TALAUD, INDONESIA February 11, 2009

Lots of activity along the Sunda extension and the boundary of the Australia, Asia and Pacific tectonic plates.
 
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hi all

The seismic waves have finally started to fade away after todays M6.5 quake in the Philippines
Centred in the northern part of the island of Leyte

M 6.5 - 3km NNE of Masarayao, Philippines
Time: 2017-07-06 08:03:57 (UTC)
Location: 11.114°N 124.633°E
Depth: 6.5 km

170706 0803UT M6.5 Nthrn Leyte, Philippines zhi.gif


regional location map ...

6.5 phils 1.JPG


zoomed in ...

6.5 phils 2.JPG
cheers
Dave
 

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