Page 220 - Formulas and Calculations for Petroleum Engineering

Production engineering formulas and calculations Chapter 4 213

4.20 Correct counterbalance (sucker-rod pump)

Input(s)
AUL: Average Upstroke Load (lb)
ADL: Average Downstroke Load (lb)

Output(s)
CCB: Correct Counterbalance (lb)

Formula(s)

AUL + ADL
CCB ¼
2
Reference: Boyun, G., William, C., & Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted
Approach, Page: 18/269.

4.21 Corresponding reciprocal rate (post-fracture production—Constant Bottomhole
flowing conditions)

Input(s)

q D : Dimensionless Reciprocal Rate from Match Point (1/q_d) (dimensionless)
B g : Gas Formation Volume Factor (RB/MSCF)
p ai : initial Adjusted Pressure (psi)
p awf : Adjusted Well Flowing Pressure (psi)
ø: Porosity (dimensionless)
c t : Total Compressibility (1/psi)
μ: Viscosity (cP)
h: Formation Thickness (ft)
C rD : Dimensionless Fracture Conductivity (dimensionless)
L f : Fracture Length (ft)
t LfD : Ending of Linear Part or Starting Time of Pseudo Radial Flow from Plot (dimensionless)
k: Permeability (mD)
Δt: Time Difference from Data (h)

Output(s)

1
: Reciprocal Rate from Match Point (1/q)_(mp) (Days/MSCF)
q
MP
L fMP : Length of Fracture from Match Point Analysis (ft)
: Fracture Conductivity from Dimensionless Fracture Conductivity (mD ft)
w fk f
Formula(s)

0 1

1 μ 1
¼ @ 141:2 B A
g
q q
MP k h p p awf D
ai
! !

0:0002637 k Δt 1
L ¼ * 2
fMP
ø μ c t
t LfD
w ¼ π k C L
fk f rD f
Reference: Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of
Petroleum Engineers, Page: 126.