Page 263 - Formulas and Calculations for Petroleum Engineering

256 Formulas and calculations for petroleum engineering

4.115 Young Modulus by using sonic travel time (acidizing)

Input(s)
t s : Sonic Travel Time (μs/ft)
Ø: Porosity (per cent)
v: Poisson’s Ratio (dimensionless)
3
ρ ma : Density of Formation Matrix (lb/ft )
3
ρ fl : Density of Formation fluids (lb/ft )
Output(s)
E: Young’s Modulus (psi)

Formula(s)

h i
ρ ð 1 ØÞ + ρ Ø 1 2vÞ 1+ vÞ
ð
ð
fl
ma
E ¼ 2:16 10 8 2
ð 1 vÞt
s
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: 56.