Paul Dennis edited untitled.tex  over 8 years ago

Commit id: 05accf10ec715a1e72533345e8d389fb1f05efdc

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\[V \cdot \left( {{\Theta _i} - {\Theta _1}} \right) \cdot C_p^w \cdot {\rho _w} = \left[ {({x_1} - {x_2}) \cdot h \cdot \left( {\frac{{{\Theta _1} - {\Theta _2}}}{2}} \right) + \left( {{\Theta _1} - {\Theta _2}} \right) \cdot \left( {{x_1} - {x_2}} \right) \cdot {{\left( {\frac{{kt}}{\pi }} \right)}^{0.5}}} \right] \cdot C_p^r \cdot {\rho _r}\]  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} and \rho_{r} the densities of water and rock, and k the thermal diffusivity of rock.Noting that 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 for an individual fluid pulse is a function