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Total volume of subsurface oil reserves in NTP conditions:

(1) V_{\rm STOIIP} = \int_{\Omega} B^{-1}_o(p_i({\bf r}), T_i({\bf r})) s_o({\bf r}) \phi_e({\bf r}) dV

where

\Omega

Petroleum reservoir

{\bf r} = (x,y,z)

Position vector to some location in a reservoir

dV = dx \, dy \, dz

Volume element of a reservoir

p_i({\bf r}), \, T_i({\bf r})

Initial formation pressure and temperature at location {\bf r}

\phi_e({\bf r})

Effective porosity at location {\bf r}

s_o({\bf r}), \, s_g({\bf r})

Oil saturation and Gas saturation at location {\bf r}

B_o(p_i, T_i), \, B_g(p_i, T_i)

Oil FVF and Gas FVF at Initial formation pressure and temperature

R_s(p_i, T_i), \, R_v(p_i, T_i)

Solution GOR and Vaporized Oil Ratio at Initial formation pressure and temperature
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