Difference between revisions of "Oil Flowing Material Balance"

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  |date=2005
 
  |url=https://www.ihs.com/pdf/dynamic-material-balance-paper_227867110913049832.pdf
 
  |url=https://www.ihs.com/pdf/dynamic-material-balance-paper_227867110913049832.pdf
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<ref name=Stalgorova2016>{{cite journal
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|last1= Stalgorova |first2=Ekaterina
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|last2=Mattar|first1=Louis
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|title=Analytical Methods for Single-Phase Oil Flow: Accounting for Changing Liquid and Rock Properties
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|publisher=Society of Petroleum Engineers
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|date=2016
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|url=https://www.onepetro.org/conference-paper/SPE-180139-MS?sort=&start=0&q=SPE-180139-MS&from_year=&peer_reviewed=&published_between=&fromSearchResults=true&to_year=&rows=25#
 
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Revision as of 05:57, 10 April 2018

Brief

Oil Flowing Material Balance (Oil FMB) is the advanced engineering technique published in 2005 by Louis Mattar and David Anderson [1].

Oil Flowing Material Balance is applied to determine:

Oil Flowing Material Balance uses readily available Welll flowing data: production rate and bottomhole pressure.

The interpretation technique is fitting the data points with the straight lines to estimate STOIIP and JD.

FMB.png

Oil Flowing Material Balance in the E&P Portal

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

Gas Flowing Material Balance can be applied to:

  • single well
  • multiple wells producing from the same Reservoir.

The X axis on the Gas Flowing Material Balance Plot can be selected as:

Example 1. Multiple wells producing from the same Reservoir. X axis - Wells cumulative FMBex1.png Example 2. Multiple wells producing from the same Reservoir. X axis - Reservoir cumulative FMBex2.png Example 3. Shifted Model Start (to account for gas injection) FMBex3.png

Workflow

  1. Upload the data required
  2. Open the Gas Flowing Material Balance tool here
  3. Calculate the red \frac{P}{z} line:
    1. Given the GIIP
    2. Calculate the \frac{P}{z}=\frac{P_i}{z_i} \left (1- \frac{G_p}{GIIP}\right )
  4. 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}
  5. 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
  6. Change the red \frac{P}{z} line to match the orange \frac{\bar{P}}{z} curve
    1. Change the GIIP
    2. Change the intitial \frac{P}{z}
  7. Change the flat JD gray line to match the changing JD gray line
  8. Save the FMB model
  9. Move to the next well

Extra Plot to find bpss

  1. Calculate the initial pseudopressure, P_{Pi}
  2. Calculate the material balance pseudo-time, t_{ca}
  3. Plot \frac{P_{P_i}-P_{P_{wf}}}{q_g} versus t_{ca}
  4. The intercept with the Y axis gives b_{pss} and J_D

Data required

In case you need to calculate the flowing bottomhole pressure from the wellhead pressure:

In case you want to add the static reservoir pressures on the FMB Plot:

Nomenclature

b_{pss} = reservoir constant, inverse to productivity index, psia2/cP/MMscfd
c = compressibility, psia-1
GIIP = gas initially in place, MMscf
G_p = cumulative gas produced, MMscf
J = gas productivity index, MMscfd/(psia2/cP)
J_D = dimensionless productivity index, dimensionless
kh = permeability times thickness, md*m
P = pressure, psia
\bar{P} = average reservoir pressure, psia
P_P = pseudopressure, psia2/cP
q_g = gas rate, MMscfd
t = time, day
t_{ca} = material balance pseudotime for gas, day
T = temperature, °R
z = gas compressibility factor, dimensionless

Greek symbols

\mu = viscosity, cp

Subscripts

g = gas
i = initial
R = °R
wf = well flowing

References

  1. ↑ 1.0 1.1 Mattar, L.; Anderson, D (2005). "Dynamic Material Balance (Oil or Gas-In-Place Without Shut-Ins)" (PDF). CIPC. 

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