Young Modulus by using sonic travel time (acidizing)

Input(s)

tst_{s}: Sonic Travel Time (μs/ft)(\mu \mathrm{s} / \mathrm{ft})

Ø: Porosity (per cent)

vv : Poisson's Ratio (dimensionless)

ρma\rho_{m a}: Density of Formation Matrix (lb/ft3)\left(\mathrm{lb} / \mathrm{ft}^{3}\right)

ρfl\rho_{f l}: Density of Formation fluids (lb/ft3)\left(\mathrm{lb} / \mathrm{ft}^{3}\right)

Output(s)

E: Young's Modulus (psi)

Formula(s)

E=2.16×108[ρma(1)+ρfl](12v)(1+v)(1v)ts2E=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.

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