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

\left< \sigma \right > = \sum_m \sigma_m

\left< c_t \phi h A\right > = \sum_m c_{tm} \phi_m h_m A_m

where

	number of layers
	transmissibility of the multilayer system
	total reservoir storage of the multilayer system
	reservoir drainage area of the -th layer
	transmissibility of the -th layer
	reservoir thickness of the -th layer
	reservoir fluid mobility of the -th layer
	relative reservoir fluid mobility of the -th layer
	absolute permeability to air of the -th layer
	reservoir porosity of the -th layer
	total compressibility of the -th layer

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

See Also