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.