Young Modulus by using sonic travel time (acidizing)
Input(s)
\(t_{s}\): Sonic Travel Time \((\mu \mathrm{s} / \mathrm{ft})\)
Ø: Porosity (per cent)
\(v\) : Poisson's Ratio (dimensionless)
\(\rho_{m a}\): Density of Formation Matrix \(\left(\mathrm{lb} / \mathrm{ft}^{3}\right)\)
\(\rho_{f l}\): Density of Formation fluids \(\left(\mathrm{lb} / \mathrm{ft}^{3}\right)\)
Output(s)
E: Young's Modulus (psi)
Formula(s)
\[
E=2.16 \times 10^{8} \frac{\left[\rho_{m a}(1-\emptyset)+\rho_{f l} \varnothing\right](1-2 v)(1+v)}{(1-v) t_{s}^{2}}
\]
Reference(s)
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.