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Earthquake Epicenter Triangulation

Jul 21, 2025

Overview

This lecture continues the topic of epicenter triangulation, focusing on problem-solving, calculations, and understanding its practical applications and limitations in earthquake detection.

Epicenter Triangulation Problem-Solving

  • Three seismic stations (CMB, DOG, PIS) in North America detected an earthquake at 6:00 AM.
  • P-wave and S-wave arrivals are recorded in hour, minute, and second format; conversion to seconds is required for calculations.
  • CMB's P-wave: 0 sec, S-wave: 28 sec; DOG's P-wave: 5 sec, S-wave: 1 min 29 sec (89 sec); PIS's P-wave: 2 sec, S-wave: 1 min 6 sec (66 sec).
  • Lag time is calculated using: Lag time = S-wave arrival time โˆ’ P-wave arrival time.
  • Lag times: CMB = 28 sec, DOG = 84 sec, PIS = 64 sec.
  • Distance from epicenter is found by multiplying lag time by 12.5 km/sec.
  • Distances: CMB = 350 km, DOG = 1050 km, PIS = 800 km.
  • For map work, convert actual distance to scaled distance using 100 km/cm.
  • Scaled radii: CMB = 3.5 cm, DOG = 10.5 cm, PIS = 8 cm.

Map Triangulation Procedure

  • Draw circles on the map using the scaled radii from each station.
  • The intersection of the three circles marks the earthquake's epicenter.

Analysis and Conceptual Questions

  • The nearest station (CMB) detects seismic waves first and is most affected by the earthquake.
  • The farthest station (DOG) detects seismic waves last and is least affected.
  • Epicenter triangulation is not 100% accurate due to manual compass use and inherent limitations.
  • Accuracy is sufficient for disaster risk reduction, early warning, and evacuation despite minor errors.

Cause-and-Effect Relationships

  • The nearer a station is to the epicenter, the earlier it receives seismic waves and the greater its chance of being affected.
  • The farther a station is from the epicenter, the later it receives seismic waves and the less it is affected.

Key Terms & Definitions

  • Epicenter โ€” the point on Earth's surface directly above the earthquake origin.
  • Seismic Station โ€” a facility that detects and records seismic waves.
  • P-Wave (Primary Wave) โ€” the fastest seismic wave, detected first.
  • S-Wave (Secondary Wave) โ€” a slower seismic wave, detected after the P-wave.
  • Lag Time โ€” the time difference between S-wave and P-wave arrivals.
  • Epicenter Triangulation โ€” method using distances from three stations to locate an earthquakeโ€™s epicenter.

Action Items / Next Steps

  • Prepare for Performance Task 1.2 (group) and Long Test 1.2 (pair) next week.
  • Review the process of converting time, calculating lag time, and drawing circles for triangulation.