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Saturday, February 27, 2010

Energy of Earthquake in Logarithmic Nutshell

Related Link » 2010 Chile earthquake
“The 2010 Chile Earthquake occurred off the coast of the Maule Region of Chile on February 27, 2010 at 03:34 local time (06:34 UTC) and lasted for about three minutes. Its magnitude was initially reported to be between 8.3 and 8.5 Mw, later revised to 8.8 Mw. It was the strongest earthquake affecting Chile since the magnitude 9.5 1960 Valdivia earthquake (the most energetic earthquake ever recorded worldwide), and is the strongest earthquake worldwide since the 2004 Indian Ocean earthquake. It was about 500 times stronger than the recent devastating magnitude 7.0 Haitian earthquake and is tied with a 1906 Ecuadorian earthquake as the seventh strongest earthquake ever recorded.” [emphasis added]
From Wikipedia, the free encyclopedia

Seismic Energy of Earthquakes [updated: 3/25/2011]
 Magnitude    Tons of TNT = 10( 32M - 3)  Example of Explosive Energy
 0.0  0.001 = 1.0 × 10-3 ton (metric)*   one kilogram of TNT
 1.0  0.0316227766 ≈ 0.0316 ton  a construction site blast
 2.0  1 = 1 ton  a World War II conventional bomb
 3.0  31.6227766 ≈ 31.6 tons  a Massive Ordnance Air Blast (MOAB
 4.0  1,000 = 1 kiloton  a "small" nuke
 4.4  3,981 ≈ 3.98 kilotons  2010 "Pico Rivera" earthquake
 5.0  31,623 ≈ 31.6 kilotons  Nagasaki atomic bomb, "Fat Man"
 6.0  1,000,000 = 1 megaton  1994 "Double Spring Flat" earthquake
 6.2  1,995,262 ≈ 2.00 megatons  2010 "Manila" earthquake
 623  10,000,000 = 10 megatons  "Castle Bravo" thermonuclear device
 6.8  15,848,932 ≈ 15.8 megatons  2011 "Myanmar" earthquake 
 6.9  22,387,211 ≈ 22.4 megatons  1989 "San Francisco Bay" earthquake 
 7.0  31,622,777 ≈ 31.6 megatons  2010 "Haiti" earthquake
 7.1  44,668,359 ≈ 44.7 megatons  2010 "Qinghai Province" earthquake
 7.13  50,000,000 = 50 megatons  "Tsar Bomba" thermonuclear weapon
 7.2  63,095,734 ≈ 63.1 megatons  2010 "Baja California" earthquake
 7.7  354,813,389 ≈ 355 megatons  2010 "Sumatra" earthquake
 8.0  1,000,000,000 = 1 gigaton  1906 "San Francisco" earthquake
 8.1  1,412,537,540 ≈ 1.41 gigatons  [Predicted] San Andreas "Big One"
 8.8  15,848,931,900 ≈ 15.8 gigatons  2010 "Chile" earthquake
 8.9  22,387,211,400 ≈ 22.4 gigatons  2011 "off Honshu, Japan" earthquake
 9.0  31,622,776,600 ≈ 31.6 gigatons  1755 "Lisbon" earthquake
 9.1  44,668,359,200 ≈ 44.7 gigatons  2004 "Indian Ocean" earthquake
 9.5  177,827,941,000 ≈ 178 gigatons   1960 "Valdivia" earthquake
 10  1.0 × 1012 tons = 1 teraton  thankfully never recorded
 1023  1.0 × 1013 tons = 10 teratons  10% of Yucatán Event devastation
 1113  1.0 × 1014 tons = 100 teratons   Yucatán Peninsula Impact Event 
 12  1.0 × 1015 tons = 1 petaton   10 × devastation of Yucatán Event 
(*) 1 ton (metric) = 1,000 kilograms




Most of us are familiar with the concept of percent (%), which allows us to compare related values via their ratio. Although this is convenient in computation, it does mask the absolute difference between the values compared. In effect, we reduce the "starkness" of the distinction, derived from arithmetic subtraction, in return for the computational convenience from division.

In an analogous fashion, a vastly greater masking of the starkness of the distinction between related values is achieved by logarithms:
“More informally, logarithms have the nice property that they take large numbers and whittle them down to manageable sizes. When we take the logarithm of an unwieldy number like a trillion [a number we are getting used to hearing when the Federal budget is discussed], we get a nice number like 9. [...] So the logarithm gives a specific measure of how big a number is, but it collapses huge numbers down to a reasonable size, which is very helpful in fields like cosmology, statistical mechanics, or even economics [as well as seismology].” [comments inserted]
From Eternity to Here by Sean Carroll
The magnitude scale for the seismic energy of earthquakes is logarithmic. This enables seismologists to compute earthquake energy in terms of magnitudes less than 10. Convenient, yes. But at a tremendous price in obscuration of intuitive comparative energy.

Thus, a quick glance at the table above reveals that today's magnitude 8.8 Chilean earthquake was recorded as having the energy of 500 earthquakes like the recent devastating magnitude 7.0 Haitian earthquake. The latter, in turn, had the additional energy equivalent to a 10 megaton thermonuclear device when compared to the 1989 San Francisco Bay Area Earthquake. And I can personally attest that the 1989 earthquake made the earth move for me, having been in Livermore, California at the time (about 100 miles from the epicenter).

Finally, huge as today's quake may have been, the largest recorded quake, the 1960 Valdivia Earthquake, was 11 times bigger! As the punchline of an old joke (the details of which I have forgotten) goes, "Do not f*ck with Mother Nature!"

Castle Bravo Mushroom Cloud

Post #1,145 Energy of Earthquake in Logarithmic Nutshell

2 comments:

  1. I am what is called a remote viewer I quess- I see things and events in dreams of the past and future and keep them in my private dream book only and have for years- however I have had a reoccurring dream about being with John ,Bobby and Ted Kennedy on expeditions to the North and south pole and during these expeditions huge earthquakes took place and tsunamis occurred that broke up the ice- I think it is related to the earthquake in Chile somehow and is something soon in coming. What does this mean ?

    ReplyDelete
  2. It means you should beware of the Kennedys, especially on expeditions to the poles.

    ReplyDelete