Estimated Ultimate Recovery
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EUR = \frac{Q_o}{V_o} = \frac{ (p_i - p_{wf \, min}) \, c_t}{(1-s_{wi})\, B_o} =
\frac{ (p_i - p_{wf \, min}) }{(1-s_{wi})\, B_o} \, \big( c_r + s_{wi} c_w + (1-s_{wi})c_o \big) |
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The definition of total compressibility
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c_t = \frac{1}{V_{\phi}} \frac{\partial V_{phi}}{\partial p} = c_r + s_{wi} c_w + (1-s_{wi})c_o \big |
and can be split into rock, water, oil components:
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c_t = c_r + s_{wi} c_w + (1-s_{wi})c_o \big |
For low compressible oil compressibility can be assumed constant
and the volume reduction can be related to pressure decline as:| LaTeX Math Block |
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\frac{\delta V_\phi}{V_\phi} = c_t \, \delta p = c_t \, (p_i - p_{wf \, min}) |
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\delta V_\phi = Q_o \, B_o |
and
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V_o = s_o \, V_\phi = (1-s_{wi}) \, V_\phi |
hence
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\frac{Q_o \, B_o \, (1-s_{wi})}{V_o} = c_t \, (p_i - p_{wf \, min}) |
and
See also
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Petroleum Industry / Upstream / Production / Subsurface Production / Reserves Depletion
Physics / Fluid Dynamics / Percolation / Reservoir flow / Reservoir flow drive mechanisms
[ Field Development Plan ]
Reference
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EUR = \frac{Q_o}{V_o} = \frac{ (p_i - p_{wf \, min}) \, c_t}{(1-s_{wi})\, B_o} |
Water flooding
Gas flooding
WAG flooding
Chemical EOR
CО2 injection
Reference
[1]
