Property

Property Name

Formula

Y_wm

Watercut (proxy-model)

(1)	$\begin{array}{l}\displaystyle {\rm Y_{wm}} = \frac{1}{1 + \frac{K_{ro}}{K_{rw}} \cdot \frac{ \mu_w}{\mu_o} \cdot \frac{B_w}{B_o} }\end{array}$

(2)	$\begin{array}{l}\displaystyle s_w = s_{wi} + (1-s_{wi}-s_{or}) \cdot \rm RF\end{array}$

GOR_m

Gas-Oil Ratio (proxy-model)

(3)	$\begin{array}{l}\displaystyle {\rm GOR_m} = R_s + \frac{k_{rg}}{k_{ro}} \cdot \frac{\mu_o}{\mu_g} \cdot \frac{B_o }{B_g}\end{array}$

J_O

Oil Productivity Index

(4)	$\begin{array}{l}\displaystyle {\rm J_{O}} = \frac{q_O}{p_r - p_{wf}} {\quad \Rightarrow \quad} p_{wf} = p_r - \frac{1}{J_O} q_O\end{array}$

J_PI

Total Productivity Index (production)

(5)	$\begin{array}{l}\displaystyle {\rm J_t} = \frac{q_t}{p_r - p_{wf}}\end{array}$

_jPI

Total Specific Productivity Index

(6)	$\begin{array}{l}\displaystyle {\rm j_t} = \frac{q_t}{h \cdot (p_r - p_{wf})}\end{array}$

_jPIm

Total Specific Productivity Index (model)

(7)	$\begin{array}{l}\displaystyle {\rm j_{tm} } = \frac{2 \pi < k/\mu>}{\ln \frac{r_e}{r_w} +0.5 + S}\end{array}$

$\begin{array}{l}p_r\end{array}$

Formation pressure

(8)	$\begin{array}{l}\displaystyle p_r = \sum_{k=1}^N {\rm w}_k \cdot p_{rk}, \quad {\rm w}_k = \frac{q_k}{\sum q_k}, \quad \sum {\rm w}_k = 1\end{array}$

$\begin{array}{l}k=1..N\end{array}$ is running through wells with formation pressure tests $\begin{array}{l}p_{rk}\end{array}$ and rates $\begin{array}{l}q_k\end{array}$

$\begin{array}{l}p_{wf}\end{array}$

BHP

(9)	$\begin{array}{l}\displaystyle p_{wf} = \sum_{k=1}^N {\rm w}_k \cdot p_{wf,k}, \quad {\rm w}_k = \frac{q_k}{\sum q_k}, \quad \sum {\rm w}_k = 1\end{array}$

$\begin{array}{l}k=1..N\end{array}$ is running through wells with BHP tests $\begin{array}{l}p_{rk}\end{array}$ and rates $\begin{array}{l}q_k\end{array}$

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PRIME Mathematics

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