Method for thermal insulation of an evacuable container comprising an inner container, an outer container and a cavity disposed between the inner container and the outer container, wherein said method comprises

a) using a vacuum pump to reduce a pressure in the cavity and after achieving a first value of the pressure interrupting the connection to the vacuum pump,
b) subsequently making a connection from a reservoir container of the thermally insulating particulate material to a filling opening provided in the region of the cavity,
c) setting the evacuable container into motion, wherein the thermally insulating particulate material flows into the cavity according to a) and the pressure in the cavity increases due to the air introduced with the thermally insulating particulate material,
d) terminating the filling at a second value of the pressure by interrupting the connection from the cavity to the reservoir container,
e) repeating step a), wherein the output of the vacuum pump with which the cavity is deaerated is controlled such that the profile over time of the mass flow exiting from the cavity of air introduced with the thermally insulating particulate material is at a maximum,
f) subsequently repeating steps b)-e) up to the desired degree of filling and
g) as the final step sealing the evacuated cavity.