Scientists determine the location of an earthquake's epicenter by analyzing data from multiple seismic stations. They measure the time it takes for seismic waves to travel from the earthquake to each station, specifically comparing the arrival times of primary (P) waves and secondary (S) waves. By calculating the differences in these arrival times, they can triangulate the epicenter's location using a method called triangulation, which involves at least three seismic stations. This process allows for accurate mapping of the epicenter's position on the Earth's surface.
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