An earthquake has happened somewhere in British Columbia. You have seismic data from 3 different seismometers; one is in Dawson Creek, one is in Fraser Lake, and one is in Stewart. The 'gap time' - time between measuring P-waves (moving at 6 km/s) and S-waves (moving at 4 km/s) is available for each seismometer. For example, in Steward, the S- waves were detected 40 seconds after detecting P-waves. The rest of the data is in the table. Where is the epicentre of the earthquake? Queen Charlotte City Queen Charlotte Islands Atlin Atlin Lake Masset Stikine R Stewart Prince Rupert Port Alicer Vancouver Island Williston Lake Fraser Lake Bella Coola Ucluelet Mackenzie Fort St. James Fort Nelson Port McNeill Hudson's Hope Dawson Creek Fraser R Williams-Lake Lillooet FI Fraser R Victoria Valemount Kinbasket Lake Ashcroft Vancouver Penticton Town Gap Time (time between detecting P- Waves and S-Waves) British Columbia, Canada Colombie-Britannique Scale/Echelle 0 100 200 300 400 km Golden FI Columbia R Cranbrook Dawson Creek 51 s Fraser Lake 23 s Stewart 40 s

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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An earthquake has happened somewhere in British Columbia. You have seismic data from 3 different seismometers;
one is in Dawson Creek, one is in Fraser Lake, and one is in Stewart. The 'gap time' - time between measuring P-waves
(moving at 6 km/s) and S-waves (moving at 4 km/s) is available for each seismometer. For example, in Steward, the S-
waves were detected 40 seconds after detecting P-waves. The rest of the data is in the table. Where is the epicentre of
the earthquake?
Queen Charlotte City
Queen
Charlotte
Islands
Attin
Atin Lake
Masset
Stikine R
Stewart
Prince Rupert
Port Alice
Vancouver
Island
Williston
Lake
Fraser Lake
Bella Coola
Ucluelet
Fort Nelson
Mackenzie
Fort St. James
Port McNeill
Hudson's Hope
Dawson Creek
Fraser R
Williams-Lake
Lillopet
FI Fraser R
Victoria
Valemount
Kinbasket
Lake
Vancouver
Ashcroft
Penticton
Town
Gap Time (time
between detecting P-
Waves and S-Waves)
British Columbia, Canada
Colombie-Britannique
Scale/Echelle
0 100 200 300 400
km
Golden
FI Columbia R
Cranbrook
Dawson Creek
51 s
Fraser Lake
23 s
Stewart
40 s
Transcribed Image Text:An earthquake has happened somewhere in British Columbia. You have seismic data from 3 different seismometers; one is in Dawson Creek, one is in Fraser Lake, and one is in Stewart. The 'gap time' - time between measuring P-waves (moving at 6 km/s) and S-waves (moving at 4 km/s) is available for each seismometer. For example, in Steward, the S- waves were detected 40 seconds after detecting P-waves. The rest of the data is in the table. Where is the epicentre of the earthquake? Queen Charlotte City Queen Charlotte Islands Attin Atin Lake Masset Stikine R Stewart Prince Rupert Port Alice Vancouver Island Williston Lake Fraser Lake Bella Coola Ucluelet Fort Nelson Mackenzie Fort St. James Port McNeill Hudson's Hope Dawson Creek Fraser R Williams-Lake Lillopet FI Fraser R Victoria Valemount Kinbasket Lake Vancouver Ashcroft Penticton Town Gap Time (time between detecting P- Waves and S-Waves) British Columbia, Canada Colombie-Britannique Scale/Echelle 0 100 200 300 400 km Golden FI Columbia R Cranbrook Dawson Creek 51 s Fraser Lake 23 s Stewart 40 s
Expert Solution
Step 1: Introduction

Earthquake happen when energy stored in a rock released. The energy causes intense ground shaking. Near the epicenter it sends elastic waves to the surrounding areas. 

The rocks beneath the Earth's surface are continuously under stress and deformation. When rocks bends they store energy and when they break they release that energy in the form of elastic wave. 

There are three stations on the map from these three stations.s we have to calculate the epicenter. 

The epicentral can be found out from the distance of the epicenter from the recording station and the time interval between the arrival of primary and secondary waves. 

D = 

T open parentheses fraction numerator V subscript s V subscript p over denominator V subscript p minus V subscript S end fraction close parentheses 

Where T is the time interval between the  arrival of primary wave and secondary waves. 

Vp = velocity of p wave 

Vs = Velocity of S wave 

We have to calculate three epicentral distances from the three different station. 

Then circular arc would be drawn using the epicentral distance calculated from 3 station. 

The point of intersection of the three arcs represents the epicenter of the earthquake. 

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