Geophysical Modeling

This course will teach the fundamental concepts of mathematical geophysical modeling. Specifically, we will discuss forward, physics-based models that describe the temporal and spatial evolution of geologic systems (e.g., heat transport, chemical advection/diffusion, sediment transport, fluid flow, precipitation/dissolution). Students will learn how to formulate mathematical descriptions of geologic variables and then solve these equations numerically. The class will focus on numerical solutions to box models and 1-D & 2-D problems utilizing finite-difference methods. However, students will also be exposed to other numerical approaches (e.g., finite-element and finite-volume), as well as how models can be extended to higher dimensions. An emphasis will be placed on practical problem-solving skills required for research in the earth and environmental sciences.