Paul Dennis edited untitled.tex  over 8 years ago

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\[t = \frac{{\pi \cdot \left( {3.3 \times {{10}^{ - 4}} \cdot V - 0.5} \right)^2}}{{1 \times {{10}^{ - 6}}}}\]  Table 2 lists values of t for different values of V. The values of V were chosen corresponding to the volumes of fluid expelled from a an overpressured 40km x  1000m thick sediment sequence at depth within the Edale basin  with incremental  changes in porosity of 0.1, 1 and 10\% on dewatering. The corresponding values of t are 2.13, 213 16, 1723  and 2130000 173500  years respectively. These correspond to mean fluxes of 285, 26.5 and 0.26 litres.hr^{-1}.   One can legitimately question the model details and parameter estimates but the point of this somewhat heuristic approach is not to be an accurate model. It is to give an indication of the likely flow rates that are needed to sustain the maximum observed thermal anomaly within the Dirtlow Rake fault system.