Rheological stress recovery (RSR) method provides a new approach for in situ stress measurement in deep soft rock. It is supposed that rock stresses will recover gradually to be stable with time and can be measured by embedding 3D pressure transducer into the borehole. Then the in situ stress or the evolution of the surrounding rock stress can be determined by the recovery stress measured by the transducer. Therefore, the recovery rule of the stress measured by the transducer is the key of the RSR method to determine in situ stresses. In this paper numerical software is proposed to simulate the testing process of RSR method. The effects of different viscoelastic surrounding rock, creep parameters, stress state and grout material on the recovery stress measured by the transducer are discussed according to the established calculation model. Based on the rheological experimental results of rock in the literature at home and abroad, the recovery rule of the stress measured by the transducer under different rock grades is obtained, which provides theory proof for the application of RSR method.