Synonym: Waterflood Recovery = Waterflooding

The Expected Ultimate Recovery during the waterflood sweep can be assessed with the following formula:

(1)	$\begin{array}{l}\displaystyle EUR_{WF} = E_S \, E_D + (1-E_S) EUR_{ND}\end{array}$

where $\begin{array}{l}E_D\end{array}$ – displacement efficiency, $\begin{array}{l}E_S\end{array}$ – sweep efficiency.

Sweep efficiency

A part of the reservoir pore volume subjected to displacement by invaded fluid (aquifer, injected water, injected gas or injected chemicals):

Total sweep

Areal sweep

Vertical sweep

(2)	$\begin{array}{l}\displaystyle E_S = \frac{V_{sweep}}{V_\phi}\end{array}$

(3)	$\begin{array}{l}\displaystyle E_{SA} = \frac{A_{sweep}}{A_\phi}\end{array}$

(4)	$\begin{array}{l}\displaystyle E_{SV} = \frac{h_{sweep}}{h_\phi}\end{array}$

$\begin{array}{l}V_{sweep}\end{array}$ – sweep volume

$\begin{array}{l}V_\phi\end{array}$ – pore volume

$\begin{array}{l}A_{sweep}\end{array}$ – sweep area

$\begin{array}{l}A_\phi\end{array}$ – pore area

$\begin{array}{l}h_{sweep}\end{array}$ – sweep thickness

$\begin{array}{l}h_\phi\end{array}$ – pore thickness

The total sweep efficiency is a product of areal and vertical sweep efficiencies:

(5)	$\begin{array}{l}\displaystyle E_S = E_{SV} \, E_{SA}\end{array}$

Water-Oil displacement efficiency

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James T. Smith, Wiliam M. Cobb, Waterflooding (2010)