Sunday, January 12, 2025

Epicenter location vs Magnitude graph

Huge earthquake seems to be occurred as the result of chain of many earthquakes.To make clear the relationship with other ones, graph is one of the most important tools.

The below graph shows the dependency of Epicenter location(Longitude) to the magnitude in Sanriku-oki area. Horizontal axis is epicenter's longitude, and vertical logarithmic axis is Magnitude.These earthquake data are between 1/1/2019 - 3/11/2011 (until Great East Japan Earthquake) in Sanriku-oki area,downloaded from Japan Meteorological Agency.  

The black circle in graph shows the gap between M9.0 and M6.2 on 142.9E. The gap reflects one of the exception of Gutenberg-Richter law in larger Magnitude zone.Colored lines are connecting with some peaks of Magnitude in each location.It might be some possibility of the prediction of large Magnitude before the occurrence. To show the linearity of these colored lines,the related plots are picked up in the graph below,

Dots on the blue line are data as below,

  • 1933/ 3/ 3 144.8E/39.5N M6.7 0km
  • 1935/10/18 144.4E/40.3N M7.1 7km
  • 2011/ 3/11 142.9E/38.1N M9.0 24km

Blue line's correlation coefficient of 3 points is 0.9998 (almost 1).

Dots on orange line are as below,

  • 1958/ 4/ 8 143.5E/38.4N M6.5 0km
  • 1992/ 7/18 143.4E/39.4N M6.9 0km
  • 2011/ 3/ 9 143.3E/38.3N M7.3 8km
  • 2011/ 3/11 142.9E/38.1N M9.0 24km

Orange line's correlation coefficient of 4 points is 0.9993 (almost 1). In the case of 3 points without M6.5 0km (older than M6.9 0km), it becomes 0.9998.

M9.0 on 142.9E may be predicted by the intersecting point of Blue/Orange lines. But, there is no way to know the estimated time of the occurrence only by these graphs.

As same as for Epicenter location(Longitude)  above, the below graph shows the dependency of Epicenter location(Latitude) to the magnitude in Sanriku-oki area. Horizontal axis is epicenter's latitude, and vertical logarithmic axis is Magnitude. Others are common with the case of  location(Longitude).

 
 
The black circle in graph shows the gap between M9.0 and M6.2 on 38.1N. The related plots on the colored lines are picked up in the graph below,
 
Dots on the Pink line are data as below,
  • 1931/ 3/ 9 143.3E/40.2N M7.2 0km
  • 1933/ 3/ 3 145.1E/39.1N M8.1 0km
  • 1935/10/18 144.4E/40.3N M7.1 7km
  • 2011/ 3/11 142.9E/38.1N M9.0 24km
Pink line's correlation coefficient of 5 points is 0.9998 (almost 1).
Dots on the Green line are data as below,
  • 1958/ 4/ 8 143.5E/38.4N M6.5 0km
  • 2011/ 3/ 9 143.3E/38.3N M7.3 8km
  • 2011/ 3/11 142.9E/38.1N M9.0 2.4km
Green line's correlation coefficient of 5 points is 0.9973 (almost 1). 
 
M9.0 on 38.1N may be predicted by the intersecting point of Pink/Green lines. As M9.0 on 142.9E can be done also, the prediction of the epicenter should be able to fix without the timing.This result makes me believe the prediction including the timing should be possible also in the future.  

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