Dear Jeff,
although your tank as stated by you is liquid full which means it has a buffer inventory heat sink which stiffens the pressure inside the tank, however, vacuum development is all about the quenching of the vapor space due to : 1) tank is subject to significantly cold ambient conditions (initially hot tank exposed to intense cold rain conditions as stated by API 2000 7th edition) 2) pump out from the tank with no pump in which is mainly under shutdown conditions of the upstream facilities, again as explained by API 2000 section 3.4.
However, no credit shall be taken to the liquid presence in the tank as the tank can be isolated during maintenance and left out empty filled with condensable/or non condensable gases. As per API 2000, an open vent can be considered as a vacuum relief however for hydrocarbon containing tanks where the risk of flammable mixture being present and the fluid's flash point is less than 60 C, consideration to providing flame arrestor to protect the tank against the consequences of internal explosion can also be considered.
I don't support the simplified approach of estimating the vacuum development inside the tank based on only the temperature difference of the vapor space in the tank as other multiple factors can be involved such as ambient weather conditions and thermodynamic considerations which were analyzed by BS14015 and ISO 283000 and further considered by API 2000 in their latest 2014 edition. Hence, the methodology presented by API is recommended and can be optimized with consideration to the scenarios involved. Additionally, relying on open vent for vacuum relief is associated with significant product loss and the use of pressure vacuum safety valve is warranted to minimize the same
Regards,