A Validation of the Ultrasound Wave Velocity Method to Predict Porosity of Dry and Saturated Cement Paste

Table 4

Summarization of back-calculated Young’s modulus and associated errors for different numbers and distributions of spheres.

Numbers and distribution	1 single sphere	2 spheres, random	2 spheres, vertical	2 spheres, horizontal	4 spheres, square	4 spheres, star
Young’s modulus (MPa)	37,059	36,819	38,112	35,718	37,969	37,115
Error		1%	3%	4%	2%	0%
Numbers and distribution	8 spheres, vertical	8 spheres, horizontal	9 spheres	10 spheres, horizontal	10 spheres, vertical	10 spheres, varied sizes
Young’s modulus (MPa)	38,830	37,825	37,011	38,017	37,825	36,820
Error	5%	2%	0%	3%	2%	1%