Earthquake Calculations

==Overview==
An earthquake (also known as a quake, tremor or temblor) is the perceptible shaking of the surface of the Earth. Earthquakes can be violent enough to toss people around and destroy whole cities. Such earthquakes being caused by characters are a method useable to determine Attack Potency.
For the purpose of these calculations shaking a minor area should not be assumed to automatically translate to an earthquake. Either a large area being shaken or evidence that we are dealing with something earthquake-like and not just some minor shaking would be needed.
One has to differentiate between different ways an earthquake was caused, if one wants to calculate the energy.
==Case 1: Meteor impact==
This is the easiest method to determine the necessary energy to cause an earthquake, even though not the most commonly used one.
===In which cases should it be used?===
This method should be used if an earthquake is caused through the impact of a meteor or through an event very similar to that.
===How is it done?===
====Step 1:====
First step is to determine the distance of a place, for which we know which effects the earthquake had on, to the epicenter. To clarify: The epicenter is the point on the Earth's surface that is directly above the hypocenter or focus, the point where an earthquake or underground explosion originates.
From the rest this calculator will be used.
====Step 2:====
Input the distance from the epicenter, which was determined in Step 1, in the "Distance from Impact" field.
After that input the rest of the values, for now it doesn't matter what stands in the rest of the fields.
Press "calculate effects".
If the inputs were sufficiently high on the page that appears will be a section named "Seismic effects".
In that section descriptions are given which describe the effects of an earthquake, which was caused by a meteor with the properties described by the prior input. Specifically this are the effects at the input distance from the epicenter.
All possible descriptions are listed in Table 1. What one now wants to do is to change the input values, except the "Distance from Impact" value, so long until you have the lowest values, for which still the description best fitting for the effects at your chosen distance from the epicenter is shown.
====Step 3:'====
If you have found this values take a look at the "Energy" section above the "Seismic Effects" section on the page. The value given for "Energy before atmospheric entry" is the energy of your (theoretical) meteor and with that also the energy of necessary to cause the earthquake.
==Case 2: Natural Earthquakes==
This method doesn't find much use, but is worth mentioning.
===In which cases should it be used?===
This method should only be used in case a natural earthquake occurs, as it takes into account the work necessary to overcome the friction between continent plates etc.
It should be noted that, realistically speaking, a natural earthquake can't have a magnitude above about 9.6. So if the righter scale magnitude calculated is above that, this methodology should only be used if special circumstances apply.
===How is it done?===
First perform step 1 and step 2 like described in "Case 1: Meteor Impacts".
Since here one does not wish to know the energy necessary for a meteor, but for a real earthquake this time the third step has to be different.
Instead of looking at the "Energy" section, one looks at the "Seismic Effects" section again. There a value named "Richter Scale Magnitude" will be listed. This is the magnitude an earthquake would need to have to cause the described effects at the distance from the epicenter we input. The value is independent from the method through which the earthquake was caused, so it also stays true for other natural earthquakes which aren't caused by meteor impacts.
One takes the Richter Scale Magnitude and inputs it in this calculator in the "Earthquake Magnitude" field. Then press the compute button.
The value for "Total "Seismic Moment Energy" (MO)" is the energy necessary to cause such an earthquake.
==Case 3: Other==
This is the most common method to calculate earthquakes.
===In which cases should it be used?===
This should be used if the earthquake is not caused through something very similar to a meteor impact and is also not a natural earthquake.
===How is it done?===
The method is identical to that of "Case 2: Natural Earthquakes", just this time instead of the "Total Seismic Moment Energy" (MO)" value our end result is the "Seismic Energy in Waves Radiated from Earthquake Source" value.
The reason one uses that value in this case is that the big energy loss that comes through the movement of the continental plate or similar processes of natural earthquakes is not present here. Instead we can only use the amount of energy that actually takes part in the effects we observer. Hence only the energy radiated in form of seismic waves is relevant for this case.
==Alternative Method to determine Richter Magnitude==
A more direct method to figuring out the result is the following.
===1. Mercalli Intensity to Magnitude at distance===
The first step is the figure out the (Richter) Magnitude the earthquake corresponds to at the distance from the epicenter (origin) it is felt at. To do that we look at Table 1 above and pick the appropiate Intensity. Then we use that intensity to pick the appropiate "Magnitude at distance" from the table below.
Magnitude at distance	Mercalli Intensity
1-2 	I
2-3 	I-II
3-4 	III-IV
4-5 	IV-V
5-6 	VI-VII
6-7 	VII-VIII
7-8 	IX-X
8-9 	X-XI
9+ 	XII
===2. Magnitude at distance to Magnitude at origin===
To do this knowing how far away from the origin we measured the Magnitude at distance is necessary. We call that distance r (unit should be km). To figure out how much the actual magnitude of the earthquake is we differentiate between 3 cases.
#r < 60km: In this case the formula is (Magnitude at distance) + 0.0238*r = Richter Magnitude of Earthquake
#60 ≤ r < 700 km: In this case the formula is (Magnitude at distance) + 1.1644 + 0.0048*r = Richter Magnitude of Earthquake
#r ≥ 700 km: In this case the formula is (Magnitude at distance) + 6.399 + 1.66*log10((r/110)*((2*π)/360)) = Richter Magnitude of Earthquake
===3. Richter Magnitude to Energy===
To get the energy from the Richter Magnitude we differentiate between 3 cases on how the earthquake was created:
#Meteor Impact: The formula is 10(Richter Magnitude + 5.87)/0.67 = Energy in Joules
#Real Earthquake: Just use this calculator. The Total Seismic Moment Energy is the result.
#Others: Used for any artificially created earthquakes or earthquakes that aren't the former two. The formula is 101.5*(Richter Magnitude)+4.8 = Energy in Joules
==Earthquake Power Chart==
This is a basic chart that yields the output of Earthquakes from Magnitude 1 to 10.5
You can use this and this chart to estimate the appropriate magnitude.
===Radiated Waves===
Magnitude 	Joules 	Tons 	Tier
Magnitude 1 	1.995262e+6 	0.000476879063098 Tons	Wall level
Magnitude 1.5 	1.122018e+7 	0.0026816873805 Tons 	Wall level+
Magnitude 2 	6.309573e+7 	0.0150802413958 Tons 	Small Building level
Magnitude 2.5 	3.548134e+8 	0.0848024378585 Tons 	Small Building level+
Magnitude 3 	1.995262e+9 	0.476879063098 Tons 	Building level
Magnitude 3.5 	1.122018e+10	2.6816873805 Tons 	Large Building level
Magnitude 4 	6.309573e+10	15.0802413958 Tons 	City Block level
Magnitude 4.5 	3.548134e+11	84.8024378585 Tons 	City Block level+
Magnitude 5 	1.995262e+12	476.879063098 Tons 	Multi-City Block level
Magnitude 5.5 	1.122018e+13	2.6816873805 Kilotons 	Small Town level
Magnitude 6 	6.309573e+13	15.0802413958 Kilotons	Town level
Magnitude 6.5 	3.548134e+14	84.8024378585 Kilotons	Town level+
Magnitude 7 	1.995262e+15	476.879063098 Kilotons	Large Town level
Magnitude 7.5 	1.122018e+16	2.6816873805 Megatons 	Small City level
Magnitude 8 	6.309573e+16	15.0802413958 Megatons	City level
Magnitude 8.5 	3.548134e+17	84.8024378585 Megatons	City level+
Magnitude 9 	1.995262e+18	476.879063098 Megatons	Mountain level
Magnitude 9.5 	1.122018e+19	2.6816873805 Gigatons 	Large Mountain level
Magnitude 10 	6.309573e+19	15.0802413958 Gigatons	Island level
Magnitude 10.5	3.548134e+20	84.8024378585 Gigatons	Island level+
===Total Seismic Energy===
Magnitude 	Joules 	Tons 	Tier
Magnitude 1 	3.899420e+10	9.3198374761 Tons 	Large Building level+
Magnitude 1.5 	2.192805e+11	52.4092973231 Tons 	City Block level+
Magnitude 2 	1.233105e+12	294.71916826 Tons 	Multi-City Block level
Magnitude 2.5 	6.934258e+12	1.65732743786 Kilotons	Small Town level
Magnitude 3 	3.899420e+13	9.3198374761 Kilotons 	Town level
Magnitude 3.5 	2.192805e+14	52.4092973231 Kilotons	Town level+
Magnitude 4 	1.233105e+15	294.71916826 Kilotons 	Large Town level
Magnitude 4.5 	6.934258e+15	1.65732743786 Megatons	Small City level
Magnitude 5 	3.899420e+16	9.3198374761 Megatons 	City level
Magnitude 5.5 	2.192805e+17	52.4092973231 Megatons	City level+
Magnitude 6 	1.233105e+18	294.71916826 Megatons 	Mountain level
Magnitude 6.5 	6.934258e+18	1.65732743786 Gigatons	Large Mountain level
Magnitude 7 	3.899420e+19	9.3198374761 Gigatons 	Island level
Magnitude 7.5 	2.192805e+20	52.4092973231 gigatons	Island level+
Magnitude 8 	1.233105e+21	294.71916826 Gigatons 	Large Island level
Magnitude 8.5 	6.934258e+21	1.65732743786 teratons	Small Country level
Magnitude 9 	3.899420e+22	9.3198374761 Teratons 	Country level
Magnitude 9.5 	2.192805e+23	52.4092973231 Teratons	Country level+
Magnitude 10 	1.233105e+24	294.71916826 Teratons 	Large Country level
Magnitude 10.5	6.934258e+24	1.65732743786 Petatons	Continent level+
===Notes and Sources===
*Source: Alabamaquake
*Total Seismic Energy should only be used for real earthquakes. It shouldn't be used for physical earthquakes or earthquakes caused through abilities.
*Shaking a minor area should not be assumed to automatically translate to an earthquake. Either a large area being shaken or evidence that we are dealing with something earthquake-like and not just some minor shaking would be needed.
*The energy required to shake the Earth.
==See also==
*Other Calculation Instructions
Category:Calculation Instructions