Nurse-Saul law gives the concrete matrix index for strength development using concrete temperature. In recent times, air-permeability has been an index for concrete durability. I'll like to know if there are any form of relationships here.
All maturity methods basically measure heat of hydration (Temperature of concrete) with time and the area below the curve (Temperature Vs Time Curve) is indicated as maturity index which is related to strength whereas air permeability is the measurement of porosity of concrete. Researcher workers have done the work to co-relate permeability property with the strength as the W/C ratio increases porosity increases thereby strength decreases.
Efforts can be made to establish relationship between air permeability, maturity index and strength of the concrete.
Langley, W. S., Carette, G. G., & Malhotra, V. M. (1992). Strength development and temperature rise in large concrete blocks containing high volumes of low-calcium (ASTM Class F) fly ash. Materials Journal, 89(4), 362-368.
Ge, Z. (2005). Predicting temperature and strength development of the field concrete. In: Department of civil engineering materials. Lowa State University: Amers, Iowa.. p. 215.
as you want to get strength of concrete cubes at 28-day, you can heating curing water at 80 ° C for 12 hours or less. This is what I noticed in the laboratory. with best regards