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

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 9- Forward Method

Ch 9- Forward Methods HW 8 (& hw8fft.m)

3/10-3/15 Ch 11- Parker’s Method

HW 9

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

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