Based on the Gray equation of state，the Grüneisen models of ργ=constant，Gray，GRIZZLY and the Grüneisen parameter calculated from ab initio were used to calculate the melt line, isentropic compression, isotherm compression and isentropic release lines of aluminum. Comparing the calculated lines with the experimental data,the GRIZZLY Grüneisen model was found to be the best model for the equation of state of aluminum in the pressure range of about 500 GPa. The ργ=constant model is not as good as the GRIZZLY model. The Gray model and the Grüneisen parameter calculated ab initio fits the experimental data at high pressure badly.