GLOSSARY

Page tree

Versions Compared

Old Version 48

changes.mady.by.user Arthur Aslanyan (Nafta College)

Saved on

compared with

New Version 49

changes.mady.by.user Arthur Aslanyan (Nafta College)

Saved on

Key

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

...

Excerpt

Despite of terminological similarity there is a big difference in the way Dynamic Modelling,  Well Flow Performance and Well Testing define formation pressure and productivity index.

This difference is summarized in the table below:


Formation pressure,

LaTeX Math Inline
bodyp

Flow rate,

LaTeX Math Inline
bodyq

Productivity Index

LaTeX Math Inline
bodyJ


DM

9-cell formation pressure

LaTeX Math Block
anchor1
alignmentleft
p_{e9, \ i,j} = \frac{1}{9} \sum_{k=i-1}^{i+1} \sum_{l=j-1}^{j+1} p_{k,l}


LaTeX Math Block
anchor1
alignmentleft
p_{e9, \ i,j} = \frac{1}{9} ( p_{i,j}
+ p_{i, \, j+1} + p_{i, \, j-1}
+ p_{i-1, \, j} + p_{i-1, \, j}
+ p_{i-1 \, j-1} + p_{i+1, \, j+1}
+ p_{i-1 \, j+1} + p_{i+1, \, j-1} )


Sandface Flowrates:

Oil sandface flowrate

LaTeX Math Inline
bodyq_o

Gas sandface flowrate

LaTeX Math Inline
bodyq_g

Water sandface flowrate

LaTeX Math Inline
bodyq_w



Sandface Productivity Index:

Oil sandface productivity index

:

LaTeX Math Inline
bodyJ_

w

o = \frac{q_

q

o}{p_

r

{e,o} - p_{wf}}

,

Gas sandface productivity index

LaTeX Math Inline
bodyJ_

o

g = \frac{q_

o

g}{p_

r

{e,g} - p_{wf}}

,

Water sandface productivity index

LaTeX Math Inline
bodyJ_

g

w = \frac{q_

g

q}{p_

r

{e,w} - p_{wf}}


WFP

Field-average formation pressure estimate within the drainage area Ae

LaTeX Math Block
anchor1
alignmentleft
p_r = \frac{1}{A_e} \iint_{A_e} p(x,y,z) dS


Oil surface flowrate

LaTeX Math Inline
bodyq_O

Gas surface flowrate

LaTeX Math Inline
bodyq_G

Water surface flowrate

LaTeX Math Inline
bodyq_W

Liquid flowrate

LaTeX Math Inline
bodyq_L


surface productivity index:

LaTeX Math Inline
bodyJ_W = \frac{q_W}{p_r - p_{wf}}
,
LaTeX Math Inline
bodyJ_O = \frac{q_O}{p_r - p_{wf}}
,
LaTeX Math Inline
bodyJ_G = \frac{q_G}{p_r - p_{wf}}

and sometimes liquid productivity index:

LaTeX Math Inline
bodyJ_{OW} = \frac{q_{OW}}{p_r - p_{wf}}


WT

Boundary-average formation pressure estimate along the boundary of drainage area Ae

LaTeX Math Block
anchor1
alignmentleft
p_e = \frac{1}{L_e} \int_0^{L_e} p(x,y,z) dl

where

LaTeX Math Inline
bodyL_e
is the boundary of drainage area
LaTeX Math Inline
bodyA_e

Total flowrate at sandface:

LaTeX Math Inline
bodyq_t = B_w \, q_W + (B_o - R_v \, B_g) \, q_O + (B_g - R_s \, B_o) \, q_G

Total sandface productivity index:

LaTeX Math Inline
bodyJ_t = \frac{q_t}{p_e - p_{wf}}


...