Applied Geophysics Seismic Homework

Show ALL your work - Due 16 March, 1998

1. Given the reversed refraction observations (travel time vs. distance curves) shown below, calculate the velocities and depths to the interfaces. Calculate the dip angles of the interfaces.
   

2. Given the following schematic travel-time curves, describe a subsurface structure and/or velocity changes that may explain them.
   
   
   
   

3. A rock sample is taken to the lab and is subjected to a uniaxial stress (that is, it is stressed in only one direction with the remaining directions free). As a result of the stress, the length of the sample increases by 3% and the width decreases by 1%. What is the ratio of the P wave velocity to the S wave velocity in this sample?

4. Two seismic reflection profiles are shot, the first along a north-south line and the second along a line oriented 45^o east of north. The first profile reveals an interface dipping to the north at 20^o, while the second reveals an interface dipping to the northeast at 35^o. What is the true strike and dip of the interface?.

5. For the functions f(x) and g(x) shown below, compute the convolution h(x) = f(x)*g(x).