Page 231 - Formulas and Calculations for Petroleum Engineering

224 Formulas and calculations for petroleum engineering

Formula(s)

Δρ ¼ BðÞ g ΔDÞ AðÞ g ðÞ ΔDð Þ
ð
i p T
Reference: Bridges, K. L. (2000). Completion and Workover Fluids (Vol. 19). Society of Petroleum Engineers, Page: 46.

4.46 Initial rate following a hydraulic fracturing operation

Input(s)
Q pre : Rate before the Hydraulic Fracturing Operation (bbl/d)
r e : Drainage Radius of the Well (in.)
r w : Hole Radius of the Well (in.)
r f : Radius of the Fracture (in.)
k f : Fracture Permeability (mD)
k e : Average Formation Permeability (mD)

Output(s)
Q: Initial Rate Following a Hydraulic Fracturing Operation (bbl/d)

Formula(s)

2 3

k =k log r =r
6 7
6 f e e w 7
Q ¼ Q 6 ! 7
r k r 7
pre6
4 f f e 5
log + log
r k r
w e f
Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 84.
4.47 Injection pressure for hydraulic fracturing
Input(s)
P F : Downhole Fracturing Operation Pressure (psi)
ΔP f : Pressure Loss Sourced by Friction (psi)
ΔP p : Pressure Loss sourced by Perforations (psi)
ΔP h : Hydrostatic Pressure Change (psi)

Output(s)

P inj : Injection Pressure (psi)

Formula(s)

P ¼ P + ΔP + ΔP ΔP
inj F f p h

Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 24.