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Design of Smart Wellhead Controllers for Optimal Fluid Injection ...

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10M. Nikaravesh, M. Soroush, R. M. Johnston, T.W. Patzek SPE 37445_____________________________________________________________________________________600Incremental Heating, deg F-10 0 10 20 30 40 50 60 70Log Depth, ft700800900100011001200130014001500G1HIJKLM12623827230734638642847352056916001700Fig. 10. The incremental rock heating near LO-7, 24-40 ft east <strong>of</strong> 553AR. The temperature pr<strong>of</strong>iles aredrawn in equal increments <strong>of</strong> the square root <strong>of</strong> time. A uni<strong>for</strong>m spacing between these pr<strong>of</strong>iles indicatesconduction-dominated heating. Note that the logs are miscalibrated, relative to the first one, by up to 10 0 F.Incremental Heating, deg F-10 0 10 20 30 40 50 60 70600Log Depth, ft700800900100011001200130014001500G1HIJKLM8620023627531636140945951356916001700Fig. 11. The incremental rock heating near PO-1, 25-40 ft east <strong>of</strong> 553AR-33. The temperature pr<strong>of</strong>iles aredrawn in equal increments <strong>of</strong> the square root <strong>of</strong> time. Only the two latest pr<strong>of</strong>iles extend to the M-cycleUni<strong>for</strong>m heating by conduction is evident in the L cycle. Note that the J, K and L cycles appear to havecooled by up to 10 0 F at 569 days, while the M-cycle heated up.

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