I am only in e but I do want to become a geologist someday. I believe that the epicenter is where the seismic waves brake the surface of the earth.The epicenter is usually the place that the most damage occurs and then it slowly dies out as it travels outwards. I am sure this information could be used in some way to determine the focus, what type of seismic wave has occurred, or used in further research of earthquakes, seismic waves, prediction and that sort of stuff. Sorry I'm not an expert, but that might give you some ideas.
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Determining the location of earthquake epicenters plays a vital role in laying the foundations of plate tectonics.
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