Skip to content

Commit

Permalink
link to new svg figures
Browse files Browse the repository at this point in the history
  • Loading branch information
dyokelson authored Apr 9, 2024
1 parent 6bff736 commit 0a5f1ff
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions docs/src/method.md
Original file line number Diff line number Diff line change
Expand Up @@ -6,11 +6,11 @@ The first consideration to make is that we must convert the semi-infinite domain

The anti-plane assumption means that fields depend only on the x and z values, creating a two dimensional problem.

We restrict our domain to (x, z) in (0, L_x) x (0, L_z), with the fault at x = 0, and assume anti-symmetry for x in (-L_x, 0).
We restrict our domain to $(x, z)$ in $(0, L_x)$ x $(0, L_z)$, with the fault at x = 0, and assume anti-symmetry for x in $(-L_x, 0)$.

z = 0 refers to Earth's free surface, and at z = L_z we also assume a traction-free boundary.
$z = 0$ refers to Earth's free surface, and at $z = L_z$ we also assume a traction-free boundary.

<img src="img/BP_schematic_1.jpg" alt="drawing" width="600"/>
<img src="img/BP_schematic_1.svg" alt="drawing" width="600"/>

## Governing Equations
As described in the benchmark description, the governing equations are
Expand Down Expand Up @@ -41,7 +41,7 @@ where $\delta(z, t)$ is the fault slip.
\mu\frac{\partial u}{\partial z}(x, z = L_z, t) = 0
```

<img src="img/BP_schematic_2.jpg" alt="drawing" width="600"/>
<img src="img/BP_schematic_2.svg" alt="drawing" width="600"/>

## Converting $\theta$ into $\psi$
In the benchmark description the state variable is given in terms of $\theta$, but we prefer to use the equivalent (mathematically consistent) $\psi$ as the state variable, defined by
Expand Down

0 comments on commit 0a5f1ff

Please sign in to comment.