Difference between revisions of "Decline Curve Analysis"

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##Check the difference in cumulative production of actual cure vs decline curve
 
##Check the difference in cumulative production of actual cure vs decline curve
 
##Save the decline curve model
 
##Save the decline curve model
 +
##Move to the next well
  
  

Revision as of 08:35, 6 December 2017

Brief

Decline Curve Analysis (DCA) is an empirical method for rate decline analysis and rate forecasting published by Arps in 1945 [1].

DCA is applied for Wells and Reservoirs production forecasting.

Math & Physics

Note Rate Cumulative
Hyperbolic decline, 0 < b < 1 [2] q(t) = \frac{q_i}{(1+b\ D_i\ t)^{1/b}} Q = \frac{q^b_i}{D_i\ (1-b)} (q^{1-b}_i-q(t)^{1-b})
Exponential decline, b = 0 q(t) = {q_i}\ e^{-D_i\ t} Q = \frac{q_i-q(t)}{D_i}
Harmonic decline, b = 1 q(t) = \frac{q_i}{1+D_i\ t} Q = \frac{q_i}{D_i} ln{\frac{q_i}{q(t)}}

Discussion

If one has a need to convert decline factor Di to the actual annual decline in %:

if\ b > 0, a = (1 - (1 + b\ D_i)^{- 1 / b}) \times 100
if\ b = 0, a = (1 - e^{-D_i}) \times 100

Workflow

  1. Upload the data required
  2. For a single well
    1. Select a well in a filter
    2. Input the initial rate, q_i
    3. Drag the Navigation Point to match the actual data
    4. Correct the model parameters manually if needed
    5. Check the difference in cumulative production of actual cure vs decline curve
    6. Save the decline curve model
    7. Move to the next well


Data required


Nomenclature

a = annual decline, %
b = decline curve parametr, dimensionless
D_i = decline factor per time t, dimensionless
q_i = initial rate, any rate units applies
q(t) = rate at time t, any rate units applies
Q = cumulatve rate at time t, any rate units applies
t = forecast time, days

References

  1. ↑ Arps, J. J. (1945). "Analysis of Decline Curves"Paid subscription required. Transactions of the AIME. Society of Petroleum Engineers. 160 (01). 
  2. ↑ "KAPPA Dynamic Data Analysis (DDA) book"Paid subscription required. 
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