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For the 1D governing equation used in the reservoir

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Presentation on theme: "For the 1D governing equation used in the reservoir"— Presentation transcript:

1 For the 1D governing equation used in the reservoir
problem, the stability criterion is: or Note: Stability depends on the ratio of t to (x)2 Maximum t allowed increases as x increases.

2 t Implicit Solution: Traditional Approach n+1 m+3 Iteration planes

3 x t Implicit Solution Spreadsheet Model: a different view of iteration
Time as a spatial dimension t

4 Solution of the Reservoir Problem using a direct (matrix solution) as coded in the FORTRAN programs in Figures 5.1 and 5.2 in Wang and Anderson. t = 10


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