Abstract: In order to investigate the effect of temperature on deep shale gas production under high pressure and high temperature, a nonlinear seepage model was established firstly, considering particularly on the compressibility factor changed with temperature swing adsorption and temperature-dependent compressibility factor and viscosity. And then, the evolution models of inhomogeneous porosity and permeability were derived considering elastic strain and adsorption induced strain, and an efficient semi-analytical approach was improved with explicit iteration schemes to solve the pressure field. Finally, comparing the simulation results with actual field data, the proposed model and approach were validated, analyzing the effect of temperature change on the free gas production of deep shale, adsorption gas and overall output fully. The results show that the higher the pressure, the smaller the effect of temperature on free gas production. The free gas production of shallow shale can decrease by 14.5% when the temperature increases by 40℃, but the free gas production of deep shale can increase by 1.4%. In contrast, the effect of temperature on adsorbed gas is increase with pressure, the adsorbed gas production of shallow and deep shale can decrease by 19.3% and 31% respectively as the formation temperature increase. The temperature increasing can cause the total gas production of shallow shale to decrease by 15%, while there is little influence on the total gas production of deep shale. Due to the higher pressure and temperature, the total gas production of deep shale is 76% higher than that of shallow shale. The proposed model and approach can provide a reference for the efficient development and optimization design for deep shale gas.