For this problem set you can use the modeling equations from the class notes that you set up on a spreadsheet; the magnetics and gravity modelling program GM-SYS and the data files on a PC; or the MagModel program from Burger's text on a Mac.
For simplicity, I suggest you use Burger's MagModel on your Mac or the PowerPC in LME 320. See III below:
To use a student version of GM-SYS on your PC, first acquire the gmsys.zip package (click here). Make a new folder on your hard drive and put the gmsys.zip file in it. Then when you double-click on the .zip file a DOS window should open and you will see the names of files expanded out of the archive. You should see a file called ``cnfgmsys.exe'' (hopefully with a DOS icon); double-click on it. You will have to change the display driver to something your Windows95-98 screen can emulate. You may have to change your Windows display settings as well (under Start->Settings->Control Panel->Display, Settings tab; primitive, eh?). If this works you should be able to start GM-SYS by double-clicking on the ``gm.exe'' DOS icon.
For problems 1-4, you can use the TEST or BLANK model in the GM-SYS folder as a template to set up the problems. Please see Karlin if you want to look at the manual. The program will print out to an HP laserjet printer or to a postscript printer. Since the program prints only one plot at a time, we would recommend tracing the plots for each problem onto a single plot in different colors. Remember to label each plot.
With MagModel you first Open the ``zero magnetics data - 2 km'' file from the File menu, and then Load the ``shallow vertical prism'' model from the Model menu. The Polygon menu options allow you to adjust the location and shape of the slab. With MagModel you do not have to exactly match the depths and slab sizes indicated below. But you should make your models proportionally correct in terms of the ratios of slab depth, thickness, and width. To print you may have to select the available printer in the Chooser application under the Apple menu. MagModel also prints only one plot at a time. See Louie if you have problems with the set up or printing.
You can view some of the printed results from MagModel by downloading the Adobe Acrobat PDF files linked below. Applications for viewing PDF files are available online free from Adobe Systems Inc.
Problem 1. Calculate and plot the total magnetic intensity anomaly south-north profiles over a two-dimensional slab as a function of depth to the top: 10 ft., 20 ft., 50 ft., and 100 ft. The thickness of the slab is 100 ft and the width of the slab is 10 ft. The susceptibility contrast is 0.0025 emu/cc in an inducing field of 58000 nT inclined 60 degrees below the horizontal. What do you conclude regarding the effect of increasing depth to target ?MagModel printouts in PDF format for depths proportional to:
Problem 2. Calculate and plot the total magnetic intensity anomaly south-north profiles over a two-dimensional slab with depth to top of the slab of 10 ft. and slab thickness of 50 ft., 20 ft., 10 ft., and 1 ft. The width of the slab is 10 ft. The susceptibility contrast is 0.0025 emu/cc in an inducing field of 58000 nT inclined 60 degrees below the horizontal. What do you conclude regarding the effect of thickness on the magnetic signature of the target?MagModel printouts in PDF format for thicknesses proportional to:
Problem 3. Calculate and plot the total magnetic intensity anomaly south-north profiles over a two-dimensional slab with depth to top of the slab of 10 ft. , a thickness of 10 ft. and a width of 100 ft., 50, 10 ft., and 1 ft. The susceptibility contrast is 0.0025 emu/cc in an inducing field of 58000 nT inclined 60 degrees below the horizontal. What do you conclude regarding the effect of width on the magnetic signature of the target?
Problem 4. Calculate and plot the total magnetic intensity anomaly south-north, N45E, and east-west profiles over a two-dimensional slab with thickness and width of 10 ft. and depth to top of the slab of 10 ft. The susceptibility contrast is 0.0025 emu/cc in an inducing field of 58000 nT inclined 60 degrees below the horizontal. What do you conclude regarding the effect of profile orientation on the magnetic signature of the target?