Page 227 - Formulas and Calculations for Petroleum Engineering

220 Formulas and calculations for petroleum engineering

4.36 Fracture fluid coefficient for viscosity-controlled liquids

Input(s)
k: Effective Permeability (Darcy)
Ø: Effective Porosity (%)
μ f : Viscosity of Fracturing Fluid in Reservoir Conditions (cP)
ΔP: Pressure difference in Fracture Face (psi)
c: Conversion Coefficient (dimensionless)

Output(s)

C v : Fracture Fluid Coefficient for Viscosity-Controlled Liquids (dimensionless)

Formula(s)

! 1
k ΔP Ø 2
C ¼ c
v μ
f

Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 17.

4.37 Fracture geometry (acidizing)

Input(s)
2
i/h: Injection Rate per unit of Fracture Height (m /s)
μ: Fluid Viscosity (kg/m s)
2
E: Young’s Modulus (kg/m s )
L: Fracture Length (m)

Output(s)

W w : Fracture width at the Wellbore (m)

Formula(s)

0:25
W w μi

L EhL 2

Reference: Williams, B. B., Gidley, J. L., & Schechter, R. S. (1979). Acidizing fundamentals. Henry L. Doherty Memorial
Fund of AIME, Society of Petroleum Engineers of AIME, Page: 29.

4.38 Fracture gradient (hydraulic fracturing)

Input(s)
ΔP f : Pressure Loss Sourced by Friction (psi)
ΔP p : Pressure Loss sourced by Perforations (psi)
ΔP h : Hydrostatic Pressure Change (psi)
P inj : Injection Pressure (psi)