Compute the draw down coefficient (32.11) in a simple model where the geothermal reservoir is a large
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Compute the draw down coefficient (32.11)
in a simple model where the geothermal reservoir is a large cylindrical volume with height h much smaller than the radius r (see Figure 32.17)
Assume that the pressure is constant at pw in a small cylinder of the radius of the wellbore rw, and that flow is radial and vertically uniform outside that volume. Show that
Use conservation of mass to show that |u| ∝ 1/r, and note that ∇f (r) = r̂ f ′(r).
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