GEO 325M/398M Numerical Modeling in the Geosciences

Jackson School of Geosciences - University of Texas at Austin

Project maintained by mhesse Hosted on GitHub Pages — Theme by mattgraham

Back to main course page

Spring 2021: Mars groundwater response to impact cratering

In spring 2021 we will develop a model for the response of Martian groundwater to very large asteroid impacts that instantaneously generate basins kilometers deep and thousands of kilometers wide, see sketch below. These events have the potential to alter groundwater levels over very large areas and for long times. The basisns likely host long-lived hydrothermals systems that provide a habitable environment as well as large lakes.

hi

Lecture Notes

Lecture 1 (Jan 19): Introduction

Lecture 2 (Jan 21): Incompressible single phase flow

Lecture 3 (Jan 26): Conservative Finite Differences

Lecture 4 (Jan 28): Discrete Differential Operators

Lecture 5 (Feb 2): Southern highlands aquifer

Lecture 6 (Feb 4): Boundary Conditions - Part I

Lecture 7 (Feb 9): Boundary Conditions - Part II

Lecture 8 (Feb 11): Layered media and heterogeneous coefficients

Class cancelled Feb 16, Feb 18 and Feb 23 (stay warm!)

Lecture 9 (Feb 25): Fluxes and Neumann BC’s

Lecture 10 (Mar 2): Cylindrical and spherical-shell coordinates

Lecture 11 (Mar 4): Slightly compressible flow

Lecture 12 (Mar 9): Time stepping and numerical stability

Lecture 13 (Mar 11): Self-similar diffusion - linear

No class Mar 16 and 18 (Spring break)

Lecture 14 (Mar 23): Unconfined flow & Newton-Raphson Method

Lecture 15 (Mar 25): Steady non-linear problems

Lecture 16 (Mar 30): Transient non-linear problems - self-similar solutions

Lecture 17 (Apr 1): Late self-similar solution for unconfined drainage

Lecture 18 (Apr 6): Transient unconfined drainage & application to Mars

Lecture: [pdf] [video]

Lecture 19 (Apr 8): Moving from 1D to 2D

Lecture 20 (Apr 13): Divergence & Gradient

Lecture 21 (Apr 15): Irregular domains

Lecture 22 (Apr 20): 2D Spherical shell

Lecture 23 (Apr 22): Coupled Ocean-Groundwater Model

Lecture 24 (Apr 27): Crater filling

Lecture 25 (Apr 29): Mars topography

Lecture 26 (May 4): Numerical solution with volume constraint

Lecture 27 (May 6): Summary, discussion and feedback