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LaTeX Math Inline
bodyp_i

initial formation pressure:

LaTeX Math Inline
bodyp_i = p(0)

LaTeX Math Inline
body--uriencoded--Q%5e%7B\uparrow%7D_O(t)

Cumulative oil production by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyV_\phi = V \cdot \phi_i

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

LaTeX Math Inline
body--uriencoded--Q%5e%7B\uparrow%7D_G(t)

Cumulative gas production by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
body\phi_i = \phi(p_i)

LaTeX Math Inline
body--uriencoded--Q%5e%7B\uparrow%7D_W(t)

Cumulative water production by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyc_\phi

pore compressibility 

LaTeX Math Inline
body--uriencoded--Q%5e%7B\downarrow%7D_W(t)

Cumulative water injection by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
body--uriencoded--s_%7Bwi%7D

initial water saturation

LaTeX Math Inline
body--uriencoded--Q%5e%7B\downarrow%7D_G(t)

Cumulative gas injection by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
body--uriencoded--s_%7Bgi%7D

LaTeX Math Inline
body--uriencoded--Q%5e%7B\downarrow%7D_%7BWAQ%7D(t)

Cumulative water influx from Aquifer Expansion by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
body--uriencoded--s_%7Boi%7D

initial oil saturation:

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

LaTeX Math Inline
body--uriencoded--Q%5e%7B\downarrow%7D_%7BGCAP%7Dt)

Cumulative gas influx from Gas Cap expansion by the time moment

LaTeX Math Inline
bodyt





LaTeX Math Inline
bodyB_o(p)

Oil formation volume factor as functions of reservoir pressure

LaTeX Math Inline
bodyp

LaTeX Math Inline
bodyR_s(p)

Solution GOR as functions of reservoir pressure

LaTeX Math Inline
bodyp

LaTeX Math Inline
bodyB_g(p)

Gas formation volume factor as functions of reservoir pressure

LaTeX Math Inline
bodyp

LaTeX Math Inline
bodyR_v(p)

Vaporized Oil Ratio as functions of reservoir pressure

LaTeX Math Inline
bodyp

LaTeX Math Inline
bodyB_w(p)

Water formation volume factor as functions of reservoir pressure

LaTeX Math Inline
bodyp
 





The saturation dynamics:

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LaTeX Math Inline
bodyV_\phi = V \cdot \phi_i

The MatBal equation 

LaTeX Math Block Reference
anchorMatBal
can be complemented by constant PI model of Bottom-Hole Pressure (
LaTeX Math Inline
bodyp^{\uparrow}_{wf}(t)
 for producers and 
LaTeX Math Inline
bodyp^{\downarrow}_{wf}(t)
 for injectors):

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