Which mud property helps to support weight of drill string?

Density  Archimedes' principle

The mud property that helps to support the weight of the drill string is the mud gradient.                                                          

Mud weight is the property which creates a buoyancy and supports a part of drill string there by reducing the dry weight of string.

Mud weight creates buoyancy for thr drill string

MUD WEIGHT AND MUD VISCOSITY

Mud Weight and mud viscosty

The property of mud responsible for supporting tubulars is the Mud Weight. It is measured in pounds per galon

the density of the mud has a great effect on supprting the weight of the drill string

Higher mud density means higher buoyancy factor that means decreasing the apparent weight of the drill string.

support to hole and drilling matarial