Abstract：The experiments，in which the variation of mechanical properties for saturated rocks with the change of temperature had been studied，show that the moduli and wave velocities of fluid-saturated rocks decrease as temperature increases，and as temperature continues to raise，the moduli and wave velocities turn to increase. This is the temperature effect，and it proves the rationality of the wave model with thermal activated relaxation. By introducing this temperature effect into the mesoscopic PM(Preisach-Mayergoyz) model with internal bonding forces，the modulus Ki turns to be a temperature dependent variable，that is，Ki(T). The change of the temperature will cause the variation of characteristic length of hysteretic mesoscopic units(HMU) in PM space and the change of the PM space density. Thus the macroscopic elastic moduli shift too. Based on these，the density distribution function，with the influence of temperature，of the non-classical units(NCU) in PM space is obtained. The temperature effect is studied in meso scale，and temperature influence to the hysteretic loops under cyclic loading is simulated. The hysteretic loops move to bigger strain area and the moduli decrease as temperature increase. While temperature continues to rise，the hysteretic loops move backward，and the moduli turn to increase. The simulated results are consistent with the corresponding experimental results，whether the experiments were done by domestic researchers or foreign researchers.
