2. Gravity readings taken over the suspected location of a tunnel yielded the Bouguer Anomaly profile shown in Figure 1. Assume that the tunnel may be modelled as a horizontal cylinder, orientated perpendicular to the profile line and that the bedrock has a density of 2500 kg/m³. Bouguer Anomaly (mGal) 0.15 0.10 0.05 0.00 -0.05 -0.10 40 60 Distance along profile (m) Figure 1. Gravity profile over a suspected tunnel. 0 20 a) Estimate the regional field. 80 100 b) Use the residual anomaly to calculate an estimate for the depth to the top of the cylinder and the radius of the tunnel assuming it is filled with air c) List four factors that cause the acceleration due to gravity (g) to vary across the surface of the Earth
2. Gravity readings taken over the suspected location of a tunnel yielded the Bouguer Anomaly profile shown in Figure 1. Assume that the tunnel may be modelled as a horizontal cylinder, orientated perpendicular to the profile line and that the bedrock has a density of 2500 kg/m³. Bouguer Anomaly (mGal) 0.15 0.10 0.05 0.00 -0.05 -0.10 40 60 Distance along profile (m) Figure 1. Gravity profile over a suspected tunnel. 0 20 a) Estimate the regional field. 80 100 b) Use the residual anomaly to calculate an estimate for the depth to the top of the cylinder and the radius of the tunnel assuming it is filled with air c) List four factors that cause the acceleration due to gravity (g) to vary across the surface of the Earth
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
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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Transcribed Image Text:2. Gravity readings taken over the suspected location of a tunnel yielded the Bouguer Anomaly
profile shown in Figure 1. Assume that the tunnel may be modelled as a horizontal cylinder,
orientated perpendicular to the profile line and that the bedrock has a density of 2500 kg/m³.
Bouguer Anomaly (mGal)
0.15
0.10
0.05
0.00
-0.05
-0.10
0
20
40
60
Distance along profile (m)
Figure 1. Gravity profile over a suspected tunnel.
a) Estimate the regional field.
80
100
b) Use the residual anomaly to calculate an estimate for the depth to the top of the cylinder and
the radius of the tunnel assuming it is filled with air
c) List four factors that cause the acceleration due to gravity (g) to vary across the surface of the
Earth
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