this is for holding javascript data
Paul Dennis edited untitled.tex
over 8 years ago
Commit id: d6c80be8ec0210fa839b521b2af79dbeccb746eb
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index 7e1ba6a..9b54043 100644
--- a/untitled.tex
+++ b/untitled.tex
...
\[V \cdot \left( {{\Theta _i} - {\Theta _1}} \right) \cdot C_p^w \cdot {\rho _w} = \left[ {({x_1} - {x_2}) \cdot h \cdot \left( {\frac{{{\Theta _1} - {\Theta _2}}}{2}} \right) + \left( {{\Theta _1} - {\Theta _2}} \right) \cdot \left( {{x_1} - {x_2}} \right) \cdot {{\left( {\frac{{kt}}{\pi }} \right)}^{0.5}}} \right] \cdot C_p^r \cdot {\rho _r}\]
where V is the volume of fluid expelled along the fault, h is the effective width of the fault, C_{p}^{w} and C_{p}^{r} are the specific heat capacities of water and rock respectively,
\rho_{w} $\rho$_{w} and
\rho_{r} $\rho$_{r} the densities of water and rock, and k the thermal diffusivity of rock.