Abstract：The rheologic model is adopted to describe visco-elastic attenuation in saturated porous rocks and the modified Debye’s equation with real and imaginary modulus is obtained. Arrihenius equation is used to describe thermo-activated relaxation. Based on the assumption that porous materials follow Debye’s equation and Cole-Cole distribution law. Arrhenius equation is combined with local fluid model to obtain the temperature on peak frequency. The wave model with heat effects in porous media is obtained when introducing peak temperature into Debye’s equation. For this purpose it is discussed how the activation energy affects complex modulus changing with temperature and frequency. The control method is gained to establish the modified objective function，and annealing simulation and Monte Carlo algorithm are used to do inversion on the model. Verification with low frequency resonance data shows that the model is fine and the result can be a basis of low frequency modification on Biot’s theory.
