The pressure interference test with multiple homogeneous layers staying in a permeable contact with each other will honour the following equations:

(1)	$\begin{array}{l}\displaystyle \left< \sigma \right > = \sum_m \sigma_m\end{array}$

(2)	$\begin{array}{l}\displaystyle \left< c_t \phi h A\right > = \sum_m c_{tm} \phi_m h_m A_m\end{array}$

where

$\begin{array}{l}m\end{array}$	number of layers
$\begin{array}{l}\left< \sigma \right >\end{array}$	transmissibility of the multilayer system
$\begin{array}{l}\left< c_t \, \phi \, h \, A \right>\end{array}$	total reservoir storage of the multilayer system
$\begin{array}{l}A_m\end{array}$	reservoir drainage area of the $\begin{array}{l}m\end{array}$ -th layer
$\begin{array}{l}\sigma_m =M_m h_m\end{array}$	transmissibility of the $\begin{array}{l}m\end{array}$ -th layer
$\begin{array}{l}h_m\end{array}$	reservoir thickness of the $\begin{array}{l}m\end{array}$ -th layer
$\begin{array}{l}M_m = k_m M_{rm}\end{array}$	reservoir fluid mobility of the $\begin{array}{l}m\end{array}$ -th layer
$\begin{array}{l}M_{rm} =\left< \frac{k_r}{\mu} \right>_m\end{array}$	relative reservoir fluid mobility of the $\begin{array}{l}m\end{array}$ -th layer
$\begin{array}{l}k_m\end{array}$	absolute permeability to air of the $\begin{array}{l}m\end{array}$ -th layer
$\begin{array}{l}\phi_m\end{array}$	reservoir porosity of the $\begin{array}{l}m\end{array}$ -th layer
$\begin{array}{l}c_{tm}\end{array}$	total compressibility of the $\begin{array}{l}m\end{array}$ -th layer

The equations (1) and (2) define the 3D → 2D upscaling algorithm for pressure calculations.

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