GG652:  Gravity, Magnetic, and Heat Flow, Spring 2013

Instructed by Garrett Apuzen-Ito, 11:00-12:15 a.m., Tue/Thu POST 810

 

Office hours:  11:30-12:30 MWF

 

Course Objectives:

•Teach fundamental theory as well as practical applications of gravity, magnetics, and heatflow

•Improve skills in independent learning, critical and quantitative reasoning, and communication

 

Homework: Homework problems will be discussed on Thursdays, the day they are due.  Be prepared to present your work

Grace Gravity

and/or ask questions about problems you tried but did not complete.  Please complete your work before class; class is not the time to come and learn how to do the homework, that’s what office hours are for.  You will have the opportunity to turn in revised homework for full credit at the end of the semester.  You are also encouraged to help each other just so long as the work you turn in is yours alone.  

 

Exams:  There will be no exams. Your “final” will be your class project and revised homework. 

 

Class Project:  The purpose of this project is to apply what you have learned in class to a problem of your interest.  This will involve a short report on a problem in geophysics.  A good project will consist of about 10 pages of text (double spaced) and 3-5 figures.  There are two types of projects:

(1) One type of project will be to write a program to do a calculation.  The manuscript should emphasize the description of the equations and computational method used. The manuscript will also describe how you tested the code and the predictions it makes. 

(2) Another type of project will be to use an existing program to infer something about a data set that you or I have that is interesting to you.  The manuscript should include a brief description of the method, emphasize the application, and show what you infer about structure.

All manuscripts should clearly communicate a good understanding/insight of gravity, magnetics or heatflow, and have the following ingredients

A. Abstract (1 paragraph)

B. Introduction

C. Methods

D. Results

E. Conclusions

 

Grading:  50% homework; 30% class project; 20% class discussion

 

Required Text:  

Potential Theory in Gravity and Magnetic Applications, Richard J. Blakely

Geodynamics, Turcotte and Schubert

 

Additional References

Fundamentals of Geophysics, W. Lowrie

Exploration Geophysics of the Shallow Subsurface, H. Robert Burger

Introduction to Geophysical Prospecting, M. B. Dobrin and C. H. Savit

Physics of the Earth, F. D. Stacy

Advanced Engineering Mathematics, Michael D. Greenberg

                                                                                                                                                           

GG652:  Gravity, Magnetic, and Heat Flow

Course Syllabus                                                                                                 

1/7-1/11     Blakely, Ch. 1 The (conservative) Potential Field                                                             

                  Blakely, Ch. 1.     Complete & discuss HW1:  Do 3 problems: 1, 2 or 3, and 6 or 8; p. 17

 

1/14-1/18   Ch. 2- Green’s Identities, Helmholtz Theorem, Green’s Functions

                  Ch. 2-                                                Complete & discuss HW2: Ch 2, problems #1,2,4,6

 

1/21-1/25   Ch. 3- Gravitational Potential                                                                                          

                  Ch. 3-                                                                                           HW3 (& Matlab scripts)

 

1/28-2/1     Ch. 4- Magnetic Potential                                                                                                 

                  Ch. 4-                                                                                           HW4 (& Matlab scripts)

 

2/4-2/8       Ch. 5- Magnetization

                  Ch. 5-                                                                                                                        HW5

 

2/11-2/15   Ch. 6- Spherical Harmonics lecture                                                                                 

                  Presentation of plans for class projects                                                                             

 

2/18-2/22   Ch 7 Earth’s Gravity Field and Gravity Anomalies                                                          

                  Ch. 7                                                                                                                         HW6

 

2/25-3/1     Ch 8- Geomagnetic Field

                   Ch. 8  Geomagnetic Field                                                                                         HW7

 

3/3-3/8       Ch 11- Fourier Domain Modeling

                   Ch 11- Fourier Domain Modeling                                                    HW 8 (& hw8fft.m)

 

3/10-3/15   Ch 11- Parker’s Method

                                                             HW 9 (& hw9bat.xyz, hw9_FourierGrav_plot.m, gravrect.m)

 

3/17-3/22   Turcotte & Schubert, p. 132-150, Fourier’s Law of conduction and heat equation

                  T & S, p. 153-169, Cooling of the oceanic lithosphere, cooling of magma              HW10

                                                                                                                           Revisions to HW 1-8

 

3/25-3/29   Spring Break

 

4/1-4/5       Heat Flow- T & S, p. 174-190, Topography and mantle thermal structure

                                                                                                                                                  HW11

 

4/8-4/12     Heat Flow

                                                                                                                                                  HW12

 

4/15-4/19

 

4/22-4/26

 

4/29-4/30  Homework revisions

 

5/6-5/9  Class project presentations