Difference between revisions of "Gas Flowing Material Balance"

From wiki.pengtools.com
Jump to: navigation, search
(Discussion)
Line 23: Line 23:
  
 
==Discussion==
 
==Discussion==
 +
 +
well vs reservoir
  
 
==Workflow==
 
==Workflow==

Revision as of 08:39, 11 December 2017

Brief

Gas Flowing Material Balance is the advanced engineering technique to determine the Reservoirs GIIP and recovery as well as Well's EUR and JD.

Gas Flowing Material Balance is applied on the Well level given readily available well flowing data: production rate and tubing head pressure.

The interpretation technique is fitting the data points with the straight line to estimate GIIP and JD.

Math & Physics

Combining the gas pseudo state flow equation and the Gas Material Balance equation to get Gas Flowing Material Balance equation:

 P_{\bar{P}}= P_{P_{wf}} + q_g b_{pss} [1]

where

 b_{pss} = \frac{1422 \times 10^3\ T_R}{kh\ J_D}

Material balance pseudo-time:

 t_{ca} = \frac{\mu_{gi} c_{gi}}{q_g}\int\limits_{0}^{t}\frac{q_g}{\bar{\mu_g} \bar{c_g}}dt

Discussion

well vs reservoir

Workflow

  1. Calculate the red  \frac{P}{z} line:
    1. Given the GIIP
    2. Calculate  \frac{P}{z}=\frac{P_i}{z_i} \left (1- \frac{G_p}{GIIP}\right )
  2. Calculate the orange  \frac{\bar{P}}{z} curve:
    1. Given the flowing wellhead pressures, calculate the flowing bottomhole pressures, P_{wf}
    2. Convert the flowing pressures to pseudopressures, P_{P_{wf}}
    3. Given the JD, calculate the  b_{pss}
    4. Calculate the pseudopressure,  P_{\bar{P}}
    5. Convert the pseudopressure to pressure,  \bar{P}
    6. Calculate the  \frac{\bar{P}}{z}
  3. Calculate the gray JD curve:
    1. Calculate the gas productivity index, J=\frac{q_g}{P_{\bar{P}}-P_{P_{wf}}}
    2. Calculate the JD, J_D=\frac{1422 \times 10^3\ T_R}{kh} J
  4. Change the red  \frac{P}{z} line to match the orange  \frac{\bar{P}}{z} curve
    1. Change the GIIP
    2. Change the  \frac{P}{z}
  5. Change the flat JD gray line to match the changing JD gray line
  6. Save the Gas Flowing Material Balance model
  7. Move to the next well

bsss

Calculate initial pseudopressure, P_{Pi} Calculate material balance pseudo-time, t_{ca} Plot \frac{P_{P_i}-P_{P_{wf}}}{q} versus t_{ca}. The intercept gives b_{pss} and J_D. Calculate the average reservoir pseudopressure from Gas Flowing Material Balance equation, P_{\bar{P}}

Data required

Nomenclature

 A_p = flow area, ft2
 B = correlation group, dimensionless
 B = formation factor, bbl/stb
 C = coefficient for liquid viscosity number, dimensionless
 D = pipe diameter, ft
 h = depth, ft
 H = correlation group, dimensionless
 H_L = liquid holdup factor, dimensionless
 f = friction factor, dimensionless
 GLR = gas-liquid ratio, scf/bbl
 M = total mass of oil, water and gas associated with 1 bbl of liquid flowing into and out of the flow string, lbm/bbl
 N_D = pipe diameter number, dimensionless
 N_GV = gas velocity number, dimensionless
 N_L = liquid viscosity number, dimensionless
 N_LV = liquid velocity number, dimensionless
 p = pressure, psia
 q_c = conversion constant equal to 32.174049, lbmft / lbfsec2
 q = total liquid production rate, bbl/d
 Re = Reynolds number, dimensionless
 R_s = solution gas-oil ratio, scf/stb
 SG = specific gravity, dimensionless
 T = temperature, °R or °K, follow the subscript
 v = velocity, ft/sec
 WOR = water-oil ratio, bbl/bbl
 z = gas compressibility factor, dimensionless

Greek symbols

 \varepsilon = absolute roughness, ft
 \mu = viscosity, cp
 \rho = density, lbm/ft3
 \bar \rho = integrated average density at flowing conditions, lbm/ft3
 \sigma = surface tension of liquid-air interface, dynes/cm (ref. values: 72 - water, 35 - oil)
 \psi = secondary correlation factor, dimensionless

Subscripts

g = gas
K = °K
L = liquid
m = gas/liquid mixture
o = oil
R = °R
SL = superficial liquid
SG = superficial gas
w = water

References

  1. Mattar, L.; Anderson, D (2005). "Dynamic Material Balance (Oil or Gas-In-Place Without Shut-Ins)" (PDF). CIPC.