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SolutionHW_C9

# SolutionHW_C9 - Homework Set#9 Due date by 11:00 am Problem...

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Homework Set #9: Due date: 11/27/06, by 11:00 am. Problem # 1: unsteady state heating A two-dimensional heavy oil formation is electrically heated slowly using two vertical wells as shown in the below figure. The distance between the two heating wells is 20 m, and the temperature at the wells are maintained constant at 150 0 C. A monitoring well is used to monitor the temperature at the midplane of the formation (y = 0). The temperature history is given in the below table. Determine the thermal diffusivity of the formation using Fig. 12.1-1 in BSL. +b -b Monitoring well x Heating well Heating well y t (day) T ( o C)@y=0 0 40 23.14814815 64.2 46.2962963 97.75 69.44444444 118.1 92.59259259 130.75 115.7407407 137.9 Answer: We first tabulate the midplane temperature (T y=0 ) as a function of time, and then convert them to the dimensionless midplane temperatures. Having done this, we consult Fig.12.1-1. We find the value of the dimensionless midplane temperature on the ordinate of the graph, and from this we can read off the value of α t/b 2 . This quantity then can be multiplied by

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SolutionHW_C9 - Homework Set#9 Due date by 11:00 am Problem...

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