Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

LaTeX Math Block
anchorp
alignmentleft
p(t)  = p_i + \frac{\Delta Q(t)}{V_\phi \cdot c_t}
LaTeX Math Block
anchorDQ
alignmentleft
\Delta Q = -  \frac{B_o - R_s \, B_g}{1- R_s \, R_v} \cdot  \, Q^{\uparrow}_O + \frac{ B_g - R_v \, B_o}{1- R_s \, R_v} \cdot \, \left( Q^{\downarrow}_G - Q^{\uparrow}_G + Q^{\downarrow}_{GCAP} \quad \ \right) + B_w \, \left( Q^{\downarrow}_W - Q^{\uparrow}_W + Q^{\downarrow}_{WAQ} \ \quad  \right)


where

LaTeX Math Inline
body\Delta Q(t)

Cumulative Voidage Replacement Balance (CVRB) over time 

LaTeX Math Inline
bodyt

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

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

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

initial porosity

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

total compressibility

LaTeX Math Inline
bodyc_\phi

pore compressibility 

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

initial water saturation

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

initial gas saturation

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
bodyc_o, \, c_g, \, c_w

fluid compressibility of water phaseoil phase and gas phase

...