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The actual petroleum reservoir is always constrained in volume (usually by seal and  and a cap rock).

But in some practical applications the observation time is too short to see the effects of the reservoir boundaries.

In this case a reservoir flow can be analytically modeled with infinite boundary reservoir:

Linear FlowRadial Flow

LaTeX Math Inline
bodyx \rightarrow \infty

LaTeX Math Inline
bodyr \rightarrow \infty


Numerical model always performs calculations with finite boundary.

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