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
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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
Motivation = maintain formation pressure at sweep interface
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EUR = E_S \, E_D = E_{SV} \, E_{SH} \, E_D |
Sweep effciency
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E_S = \frac{V_{sweep}}{V_\phi} |
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E_{SH} = \frac{A_{sweep}}{A_\phi} |
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E_{SV} = \frac{h_{sweep}}{h_\phi} |
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– sweep volume – pore volume ...
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– sweep thickness – pore thickness
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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bgColor | papayawhip |
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title | ARAX |
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Displacement efficiency
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E_D = \frac{1-s_{wi}-s_{or}}{1-s){wi}} |
Gas flooding
Motivation = maintain formation pressure at sweep interface with gas in case of high water mobility
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body | \frac{k_{rw}}{\mu_w} \gg \frac{k_{ro}}{\mu_o} |
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which makes watrflood inefficientWAG flooding
Motivation = maintain formation pressure at sweep interface with alternating inejction of water and gas in case of high residual oil to water sweep is high
and gas sweep is less than to water sweep .Chemical EOR
Motivation = maintain formation pressure at sweep interface with chemical injection and reduce residual oil to EOR sweep
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body | s_{or \, eor} < s_{orw} |
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.CО2 injection
Reference
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