apparent specific yield is the ratio of water volume removed from the aquifer or added to the aquifer and volume of the aquifer below groundwater level.
Sy = Theta-Sr
Sy is a apparent specific yield; Theta is porosity and Sr is specific retention
In addition, attached please find a publication entitled "Techniques for Estimating Specific Yield and Specific Retention from Grain-Size Data and Geophysical Logs from Clastic Bedrock Aquifers " which sheds light on these terms and techniques to measure them.