Difference between revisions of "Decline Curve Analysis"

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(Math & Physics)
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=== Nomenclature ===
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:<math> A_1..A_{11} </math> = coefficients
 +
:<math> \rho_r </math> = reduced density, dimensionless
 +
:<math> P </math> = pressure, psia
 +
:<math> P_{pc} </math> = pseudo critical pressure, psia
 +
:<math> P_{pr} </math> = pseudoreduced pressure, dimensionless
 +
:<math> SG_g </math> = gas specific gravity, dimensionless
 +
:<math> T </math> = temperature, °R
 +
:<math> T_{pc} </math> = pseudo critical temperature, °R
 +
:<math> T_{pr} </math> = pseudoreduced temperature, dimensionless
 +
:<math> z </math> = gas compressibility factor, dimensionless
 
== References ==
 
== References ==
  

Revision as of 15:44, 26 October 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}^{-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)}}

Nomenclature

 A_1..A_{11} = coefficients
 \rho_r = reduced density, dimensionless
 P = pressure, psia
 P_{pc} = pseudo critical pressure, psia
 P_{pr} = pseudoreduced pressure, dimensionless
 SG_g = gas specific gravity, dimensionless
 T = temperature, °R
 T_{pc} = pseudo critical temperature, °R
 T_{pr} = pseudoreduced temperature, dimensionless
 z = gas compressibility factor, dimensionless

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.