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The actual petroleum reservoir is always constrained in volume (usually by seal and a cap rock).
But in some practical applications the observation time is is too short to see the effects of the reservoir boundaries.
In this case a mathematical model of this reservoir is based on the infinite reservoir size boundary assumptionreservoir flow can be analytically modeled with infinite boundary reservoir:
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Numerical model always performs calculations with finite boundary.
There are hybrid models which perform numerical calculations in finite volume composite and infinite boundary analytical model outside the composite.
A typical example is 3D flow simulations with infinite aquifer.
See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petroleum Geology / Reservoir flow boundary