# Geodynamics

## GEOS 620

Fall 2004

Tu-Th 2:00-3:30, Natural Sciences 204

### Instructors:

Jeff Freymueller | Bernie Coakley |

x7286 | x7xxx |

Elvey 307C | Natural Sciences 3xx |

jeff@giseis.alaska.edu | Bernard.Coakley@gi.alaska.edu |

Last Updated: September 14

Ignore everything below this for now

## General Outline

#### Course Topics

- Gravity, gravitational field of earth, gravity measurement and interpretation
- Magnetics, magnetic field of earth, paleomagnetics, magnetic measurement and interpretation
- Heat in the earth, heat flow, conduction and convection

#### Grading Scheme

- 60% Homework
- 40% Final Project

#### Homework

- 10 Problem Sets, roughly every week

#### Final Project

- Numerical or computational project.

**Lecture Topics**

**Wed January 21, 2004**

Introduction

Gravity 1: What is a field?, Mathematical properties of scalar and
vector fields, Potential and field, Newtonian Attraction

**Mon January 26, 2004**

Gravity 2: Measurements of gravity, Potential of an arbitrary 3D body, Potential of a sphere

PROBLEM SET 1 assigned, due Wed February 4.

**Wed January 28, 2004**

Gravity 3: MacCullough's formula, Earth's gravity field

**Mon February 2, 2004**

Gravity 4: The Geoid, Shape of the Earth, Introduction to orthogonal functions

PROBLEM SET 2 assigned, due Wed February 11.

**Wed February 4, 2004**

Gravity 5: Spherical Harmonics, Application to the global gravity field

**Mon February 9, 2004**

Gravity 6: Satellite Measurements of the Gravity Field and gravity change

PROBLEM SET 3 assigned, due Mon February 23.

**Wed February 11, 2004**

Gravity 7: More gravity change and spherical harmonics, Tides

**Fri February 13, 2004** Initial presentations on Final Projects.

**Mon February 16, 2004**

Gravity 8: Gravity surveys, Gravity Anomalies, Examples of gravity anomalies from the real world.

**Wed February 18, 2004**

Gravity 9: Modeling gravity anomalies, Attraction of special mass distributions,
Excess mass, Green's equivalent layer, Sinusoidally-varying topography

PROBLEM SET 4 assigned, due Mon March 1.

**Mon February 23, 2004**

Gravity 10: Compensation, Isostasy, Isostatic Anomalies, Gravity and lithospheric flexure

**Wed February 25, 2004 NO CLASS **UNAVCO Annual Meeting

**Mon March 1, 2004**

Gravity 11: Fourier methods, Upward and downward continuation.

PROBLEM SET 5 assigned, due Wed March 10.

**Wed March 3, 2004**

Gravity 12: Fourier methods, Application of Fourier methods to the compensation

**Fri March 5, 2004**

Magnetics 1: Electricity and magnetism, Electric and magnetic fields, Magnetic field of the Earth, IGRF

**Mon March 8, 2004**

Magnetics 2: The dipole and non-dipole fields, Magnetization, Magnetic anomalies.

PROBLEM SET 6 assigned, due Wed March 24.

**Wed March 10, 2004**

Magnetics 3: Magnetization, Modeling magnetic anomalies, Total field anomaly

**Mon March 15, 2004**SPRING BREAK

*NO CLASS***Wed March 17, 2004**SPRING BREAK

*NO CLASS***Mon March 22, 2004**

Magnetics 4: Reduction to the pole, Examples of magnetic anomaly maps, How rocks get their magnetization, Paleomagnetism, Magnetic reversals and history of Earth's magnetic field

**Wed March 24, 2004**

Magnetics 5: Paleoinclination and declination, Spherical trig and statistics of directions, Paleomagnetism and plate tectonics

**Mon March 29, 2004**

Inverse Theory 1: Going from data to model (linear case)

**Wed March 31, 2004**

Inverse Theory 2: More complex problems

PROBLEM SET 7 assigned, due Mon April 12.

**Fri April 2, 2004** EXTRA CLASS -- Catching up.

**Mon April 5, 2004**

Heat 1: Heat transfer, Fourier's Law, Heat flow in the Earth

**Wed April 7, 2004**

Heat 2: Heat sources within the Earth and the geothermal gradient, Conduction

PROBLEM SET 8 assigned, due Mon April 19.

**Fri April 9, 2004** Progress reports on Final Projects.

**Mon April 12, 2004**

Heat 3: Conduction on a sphere, 1D time-dependent conduction

PROBLEM SET 9 assigned, due Mon April 26.

**Wed April 14, 2004**** NO CLASS **Seismological Solciety of America Meeting

**Mon April 19, 2004**

Heat 4: Heating or cooling of a semi-infinite half-space, Cooling of oceanic crust

**Wed April 21, 2004**

Heat 5: Advection

**Mon April 26, 2004**

Heat 6: The Stefan problem and phase changes

**Wed April 28, 2004**

Heat 7: Thermal stresses, mantle adiabats

**Fri April 30, 2004** EXTRA CLASS -- Catching up.

**Mon May 3, 2004**

Heat 8: Convection

**END OF CLASSES** (but final Project due Fri May 7)