Page 247 - Formulas and Calculations for Petroleum Engineering

240 Formulas and calculations for petroleum engineering

Formula(s)

For Fracture:
2wv ρ
N
N ¼ ForWormhole :
Re μ
2r v ρ
c N
N ¼
Re μ
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: 111.

4.79 Sand weight needed to refill a hydraulically fractured reservoir volume

Input(s)
3
2
V: Volume of Unit Area of the Fracture (ft /ft )
Ø: Porosity (fraction)
3
ρ sand : Density of the Sand (lb/ft )
Output(s)
2
S: Sand Weight needed to Refill the Hydraulically Fractured Reservoir Volume (lb/ft )

Formula(s)
S ¼ V 1 ØÞ ρ
ð
sand
Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 98.

4.80 Shape factor expressed as skin factor for vertical wells
Input(s)

C A : Shape Factor (dimensionless)

Output(s)

s CA : Shape Related Skin Factor (dimensionless)

Formula(s)

!
0:5
31:62
s ¼ ln
CA
C
A
Reference: Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7,
Page: 208.

4.81 Single-phase gas flow (subsonic)

Input(s)
P d : Downstream Pressure (psi)
P u : Upstream Pressure at Choke (psi)