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The pressure interference test with multiple homogeneous layers honours the following equations:

(1) \left< \sigma \right > = \sum_m \sigma_m


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

where

m

number of layers

\left< \sigma \right >

transmissibility of the multilayer system

\left< c_t \, \phi \, h \, A \right>

total storage of the multilayer system

\sigma_m = \alpha_m h_m

transmissibility of the m-th layer

A_m

reservoir area of the m-th layer

h_m

reservoir thickness of the m-th layer

\alpha_m = k_m \alpha_{rm}

reservoir mobility of the m-th layer

k_m

reservoir permeability of the m-th layer

\alpha_{rm} =\left< \frac{k_r}{\mu} \right>_m

reservoir mobility of the m-th layer

\phi_m

reservoir porosity of the m-th layer

c_{tm}

total compressibility of the m-th layer

See Also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing / Pressure Interference Test (PIT)

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