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Approximation of Material Balance Pressure @model for slightly compressibility flow:

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anchorQ6XP7
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p(t)  = p_i + \frac{\Delta Q(t)}{V_e \cdot c_t}

where

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body\Delta Q(t)

Cumulative Voidage Replacement Balance (CVRB) over time 

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bodyt

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bodyV_e = V \cdot \phi_i

initial drainage volume of the main pay (excluding the aquifer and gas cap)

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body\phi_i = \phi(p_i)

initial porosity

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body--uriencoded--c_t = c_\phi + c_o \, s_%7Boi%7D + c_g \, s_%7Bgi%7D + c_w \, s_%7Bwi%7D

total compressibility

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bodyc_\phi

pore compressibility 

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body--uriencoded--s_%7Bwi%7D

initial water saturation

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body--uriencoded--s_%7Bgi%7D

initial gas saturation

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body--uriencoded--s_%7Boi%7D

initial oil saturation:

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body--uriencoded--s_%7Boi%7D = 1 - s_%7Bwi%7D - s_%7Bgi%7D

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bodyc_o, \, c_g, \, c_w

fluid compressibility of water phaseoil phase and gas phase

See Also


Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis / Material Balance Analysis (MatBal) / Material Balance Pressure @model

[ Derivation of Slightly compressible Material Balance Pressure @model ]