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Q2 Consider, a well which has been stimulated by steam soaking. In this type of stimulation several thousand tons of steam are injected into the

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Q2 Consider, a well which has been stimulated by steam soaking. In this type of stimulation several thousand tons of steam are injected into the well and, upon re-opening, the well will produce at a greatly increased rate. As a first approximation it will be assumed that, due to the steam injection, the temperature distribution can be described by a temperature step function (Boburg and Lantz, 1966) so that, for rw , the temperature is the original reservoir temperature T. Calculate an increase in the PI (productivity index) of the well due to steam soaking. Pressure Tsinon Triloc Pwf Pressure profile during the steam soak production phase. Assume that the viscosities of the oil at temperatures T, and T, are hoh and Hoc, respectively. For any r, the prevalent flow condition (period) is the semi-steady state. (30 points) Q2 Consider, a well which has been stimulated by steam soaking. In this type of stimulation several thousand tons of steam are injected into the well and, upon re-opening, the well will produce at a greatly increased rate. As a first approximation it will be assumed that, due to the steam injection, the temperature distribution can be described by a temperature step function (Boburg and Lantz, 1966) so that, for rw , the temperature is the original reservoir temperature T. Calculate an increase in the PI (productivity index) of the well due to steam soaking. Pressure Tsinon Triloc Pwf Pressure profile during the steam soak production phase. Assume that the viscosities of the oil at temperatures T, and T, are hoh and Hoc, respectively. For any r, the prevalent flow condition (period) is the semi-steady state. (30 points)

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