Page tree

Versions Compared

Key

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

...

LaTeX Math Inline
bodyq^{\uparrow}_{O, p}

volume/day

oil production rate for 

LaTeX Math Inline
bodyp
-th producer, 

LaTeX Math Inline
bodyC^{\uparrow}_{O,p}

cash/volumecost of produced oil treatment and transportation from wellhead to CMS

LaTeX Math Inline
bodyR_O

cash/volumeoil selling price

LaTeX Math Inline
bodyq^{\uparrow}_{G, p}

volume/day

gas production rate for 

LaTeX Math Inline
bodyp
-th producer, 

LaTeX Math Inline
bodyC^{\uparrow}_{G,p}

cash/volumecost of produced gas treatment and transportation from wellhead to CMS

LaTeX Math Inline
bodyR_G

cash/volumegas selling price

LaTeX Math Inline
bodyq^{\uparrow}_{W, p}

volume/day

water production rate for 

LaTeX Math Inline
bodyp
-th producer

LaTeX Math Inline
bodyC^{\uparrow}_{W,p}

cash/volumecost of produced water treatment and transportation from wellhead to CMS

LaTeX Math Inline
bodyN^{\uparrow}_P

counts

number of producers at 

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyq^{\uparrow}_{L, p}

volume/day

liquid production rate for 

LaTeX Math Inline
bodyp
-th producer

LaTeX Math Inline
bodyC^{\uparrow}_{L, p}

cash/volumecost of fluid lift to the wellhead, cash/volume

LaTeX Math Inline
bodyN^{\downarrow}_W

counts

number of water injectors at 

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyq^{\downarrow}_{W, i}

volume/day

water injection rate for 

LaTeX Math Inline
bodyi
-th water injector

LaTeX Math Inline
bodyC^{\downarrow}_{W,i}

cash/volumecost of water injection, including purchase, treatment, transportation and pumping

LaTeX Math Inline
bodyN^{\downarrow}_G

counts

number of gas injectors at 

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyq^{\downarrow}_{G, i}

volume/day

gas injection rate for 

LaTeX Math Inline
bodyi
-th gas injector

LaTeX Math Inline
bodyC^{\downarrow}_{G,j}

cash/volumecost of gas injection, including purchase, treatment, transportation and pumping

LaTeX Math Inline
bodyt

monthstime


This Left part of equation 

LaTeX Math Block Reference
anchorOF
can be rewritten in terms of sandface Sandface flowrates:

LaTeX Math Block
anchorG_sf
alignmentleft
G = \sum_{p=1}^{N^{\uparrow}_P} G^{\uparrow}_{t,p} \cdot q^{\uparrow}_{t, p}
- \sum_{i=1}^{N^{\downarrow}_W} G^{\downarrow}_w  \cdot 
q^{\downarrow}_{w, i}
- \sum_{j=1}^{N^{\downarrow}_G} G^{\downarrow}_g  \cdot q^{\downarrow}_{g, j} \rightarrow \rm max

...