west virginia universitypages.geo.wvu.edu/~wilson/geol454/lect13/mag5.pdf · title: slide 1...
TRANSCRIPT
Tom Wilson, Department of Geology and Geography
Environmental and Exploration Geophysics I
tom.h.wilson
Department of Geology and Geography
West Virginia University
Morgantown, WV
Magnetic Methods (V) and
Exam Review session 1
On tap for the day
Tom Wilson, Department of Geology and Geography
• Solutions to group problems with discussion.
• Additional review materials
• Determining pole strength
• Example test questions for take-home study …
look over and bring questions to class for next Tuesday –
the last class
• Turn in problems 4 & 5 before leaving
• You have been given an extra 5 days to do the magnetics
lab if needed. Hand in no later than Dec 5th in class.
• Final is from 11:00am to 1 pm Wednesday, December 14th.
In room 325 Brooks
Breakout problems > Group 1
Tom Wilson, Department of Geology and Geography
Questions about problems for groups 1-3?
Each group had one of these source geometry
evaluation problems
Tom Wilson, Department of Geology and Geography
In each case, you start by noting diagnostic
positions along the anomaly profile
Tom Wilson, Department of Geology and Geography
Group 1 anomaly
X3/4 =1.25X1/2 =2.05X1/4 =2.9
For group 1
Tom Wilson, Department of Geology and Geography
1.252.052.9
Sphere or vertical cylinder? Depth?
44.14
2.712.692.4
For groups 2 and 3
Tom Wilson, Department of Geology and Geography
Group 2: cylinder – 10kmGroup 3: cylinder – 10km
That scale should have been in meters but you could think of it as a large igneous pipe or pluton. The important issue here is that real data doesn’t always have a zero coordinate at the peak.
X3/4 =4.4X1/2 =7.7X1/4 =12.3
X3/4 =4.6X1/2 =7.7X1/4 =12.5
Group 2 – problem 1
Tom Wilson, Department of Geology and Geography
Problem 1
Tom Wilson, Department of Geology and Geography
In the class problem set handout, the depth z was set equal to 1.9m. Think
about the rationale involved in deciding on the depth to the center of the
cylindrical approximation of the wall. Using 1.9m we get Zmax=4.3nT.
Using 1.75m, we get 5.46 nT. Although a minor difference, which
do you think yields the better approximation? Neither anomaly
would be detectable above a background noise level of ±5nT.
3
max 3 3
8
8.38 0.064 55 (0.536)553 4.31.9 6.86
ER kFx x
Z nTz
Actually worked for you in the problem set handout.
z in either case represents depth to center!
If you double the depth, the anomaly amplitude
drops by …
Tom Wilson, Department of Geology and Geography
At a depth of 1 meter Zmax is 29.26.At a depth of 2 meters Zmax is
3
max 3
8
3ER kF
Zz
3.66 (1/8th or 1/23).
Zmax varies inversely as the cube of the depth. If the depth is doubled, Zmax will decrease to one-eighth of its former value.
Review group 3 problem 1
Tom Wilson, Department of Geology and Geography
Could a total field magnetic survey detect the burial chamber shown below given ZE=55,000nT and k=0.0001. Assume that background noise in the area is 3nT
Z=3m
R=1m
Burial chamber
Relative susceptibility contrast, k = -0.0001 emu.
3
max 3
8
3ER kF
Zz
Again, the more accurate estimate would be made using equations 7.36 and 7.37 and Burger’s Table 7.3
Compare result you obtained to the one
obtained using excel calculation: ~-1nT
Tom Wilson, Department of Geology and Geography
Group 3 – problem 1
Tom Wilson, Department of Geology and Geography
The first question usually asked before beginning a geophysical investigation of any kind is “Will this method provide the information I want?” That usually means
“Can I detect the object(s) I want to find?”
R=1m
Z=3m
Burial Chamber
Relative susceptibility contrast =-0.0001emu.
Surface
We’ve always assumed that the magnetometer is sitting on the ground; however, in most cases it is located above ground and Z, in this problem, would no longer be 3 meters
This problem and all other problems would change.
The location of the magnetometer matters!
Tom Wilson, Department of Geology and Geography
Have to add that additional 2m into the depth z
What is the reference point for measuring
distances to diagnostic positions ?
Tom Wilson, Department of Geology and Geography
Just keep in mind that anomalies don’t always come with 0 x-coordinates at the peak!
Problem 2 – groups 2 and 3
Tom Wilson, Department of Geology and Geography
Group 2: cylinder – 10kmGroup 3: cylinder – 10km
X3/4 =4.4X1/2 =7.7X1/4 =12.3
X3/4 =4.6X1/2 =7.7X1/4 =12.5
Question posed last time: what is the pole
strength?
See today’s handout
For now, let’s get started on three group
problems – Problem 1:
Tom Wilson, Department of Geology and Geography
Groups focus on their problem initially, but try to do all three.
Take about 15 minutes now to get going on these problems.
Problem 2: Underground storage tank or
missile silo. See diagnostic relationships
Tom Wilson, Department of Geology and Geography
Another – gravity vs mag
Tom Wilson, Department of Geology and Geography
Tables of depth index multipliers will be
included in the exam equation reference sheet
Tom Wilson, Department of Geology and Geography
Practice final exam – see handout
Tom Wilson, Department of Geology and Geography
Work over practice problems – review gravity
and magnetic homework problems AND
Tom Wilson, Department of Geology and Geography
bring questions to class next time!
What to bring for the exam
Bring a pencil, ruler, eraser and calculator
Show all your work!
Tom Wilson, Department of Geology and Geography
I will hand out an equation list posted on the class page.
See
http://pages.geo.wvu.edu/~wilson/geol454/equationlist.pdf
Or access from link on topic 30 – class page.
Reminders
Tom Wilson, Department of Geology and Geography
• Turn in problems 4 & 5 before leaving
• If needed, you’ve got an extra 5 days to get the
magnetics lab in. Final due date next Tuesday – in
class.
• Next Tuesday’s session will be devoted to exam
review
• Go over practice final and other materials on gravity
and magnetics including homework and handouts
• Bring questions to class next time!
• Final is from 11:00am-1 pm on Wednesday, December
14th.
In room 325 Brooks