What do you have to do to find the origin time of an earthquake?

i remember it had something to do with p-waves and subtracting..

To find the origin time of an earthquake, you can use the arrival times of P-waves at different seismic stations. P-waves are the fastest seismic waves generated by an earthquake and are typically the first to be recorded by seismic instruments.

Here are the steps to determine the origin time:

1. Obtain data: Gather the seismic records (waveforms) from at least three seismic stations located at different distances from the earthquake's epicenter. These seismic records should include the start time of each recording.

2. Identify P-wave arrivals: Analyze the waveform data to identify the arrival times of the P-waves at each station. P-waves are characterized by their rapid and strong motion. Look for a distinctive, sudden increase in amplitude on the seismic waveform.

3. Calculate time differences: Calculate the time differences between the P-wave arrivals at each station. To do this, subtract the time of the P-wave arrival at one station from the time of P-wave arrival at another station. These time differences are known as "P-wave travel times."

4. Determine the distance: Use the known velocity of P-waves in the Earth's crust (typically around 6-8 km/s) to calculate the distance between each seismic station and the earthquake epicenter. Multiply the P-wave travel time by the P-wave velocity to obtain the distance.

5. Create a travel time curve: Plot the calculated distances on a graph against their corresponding P-wave travel times for each seismic station. This graph is known as a "travel time curve."

6. Find the intersection: Look for the point on the travel time curve where the distance-time lines intersect. This intersection point represents the origin time of the earthquake.

By analyzing the arrival times of P-waves at different seismic stations and performing these calculations, seismologists can determine the approximate origin time and location of an earthquake.