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

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:

c_t = c_r + s_{wi} c_w + (1-s_{wi})c_o \big

For low compressible oil compressibility can be assumed constant

\frac{\delta V_\phi}{V_\phi} = c_t \, \delta p = c_t \, (p_i - p_{wf \, min})

\delta V_\phi = Q_o \, B_o

and

V_o = s_o \, V_\phi = (1-s_{wi}) \, V_\phi

hence

\frac{Q_o \, B_o \, (1-s_{wi})}{V_o} = c_t \, (p_i - p_{wf \, min})

and

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

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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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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Displacement efficiency

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 

WAG 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 

Chemical EOR

Motivation =  maintain formation pressure at sweep interface with chemical injection and reduce residual oil to EOR sweep  

CО2 injection

Reference

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