Consider a geothermal reservoir (see Figure 32.17)

At a depth of 1.5 km, modeled as a cylindrical volume of radius r = 5 km and height h = 500m, with pressure at the periphery of p_r ≅ 15 MPa, pressure at the bottom of the well of p_w ≅ 12 MPa, and permeability of K ≅ 50 mD. Use the answer to Problem 32.6 to estimate the mass flow rate through a well bore of radius r_w ≅ 0.125 m. Assume that the fluid is water at roughly 180 ^◦C, where the viscosity is η ≅ 0.15 cP.

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-wellhead caprock wellbore radial flow reservoir Pw Pr т.