deletions | additions       diff --git a/untitled.tex b/untitled.tex  index e2a253f..0a126fb 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
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} and $\rho$_{r} the densities of water and rock, and \textit{k} the thermal diffusivity of rock. Noting that $C_{p}^{w}$ $\cdot$ $\rho_{w}$ $\approx$ 2 $\cdot$ $C_{p}^{r}$ $\cdot$ $\rho_{r}$ and selecting values of 120$^{\circ}$, 100$^{\circ}$ and 40$^{\circ}$C respectively for $\Theta$_{i}, $\Theta$_{1} and $\Theta$_{2}, 3000m for \textit{x}_{1}, 1000m for \textit{x}_{2} and an effective fault width of 1m we find that the maximum duration (s) for an individual fluid pulse is:  \[t = \frac{{\pi \cdot \left( {3.3 \times {{10}^{ - 4}} \cdot V - 0.5} \right)}}{{1 \right)^2}}{{1  \times {{10}^{ - 6}}}}\] Table 2 lists values of t for different values of V. The values of V were chosen corresponding to changes in the porosity of a 350m thick unit of shale of 0.1, 1 and 10\% on dewatering. The corresponding values of t are 1.76, 176 and 17600 years respectively.