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

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Discussion Overview

The discussion revolves around the calculations related to mega-tsunami energy and wave height equations, including the request for proofs and verification of specific equations and charts. Participants also touch upon seismicity rates and earthquake precursors, linking these concepts to the broader context of tsunami generation.

Discussion Character

  • Technical explanation
  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant presents equations relating tsunami energy to wave height, including specific logarithmic relationships and requests verification of these equations and associated charts.
  • Another participant discusses the phenomenon of seismicity rate changes before major earthquakes, questioning the reasons behind observed increases and decreases in seismicity.
  • A third participant shares information about a recent earthquake in Melbourne, providing details about its magnitude and effects, which may relate to the broader discussion of seismic activity.
  • A fourth participant reports on a recent earthquake in the Philippines, contributing to the context of seismic events relevant to tsunami discussions.

Areas of Agreement / Disagreement

Participants express differing viewpoints regarding the causes of seismicity changes and the implications for earthquake precursors. The discussion on tsunami energy equations remains unresolved, with no consensus on their correctness or the requested proofs.

Contextual Notes

The discussion includes complex mathematical relationships and assumptions that may not be fully articulated, particularly regarding the derivation of tsunami energy equations and the nature of seismicity changes.

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Mega-Tsunami

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

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