In order to meet the demand of describing the supercritical gas under high temperature and medium-high pressure conditions, such as in detonation circumstance, a simplified virial equation of state (EOS), named Han-Long (HL), is presented, which is based on Lennard-Jones potential function. One hundred and twelve sets of theoretical data for methane above 1000 K are calculated using HL EOS. We obtain that the volume average absolute deviation (AAD) is about 1% and the maximum error is 3.28%; this error is far lower than the calculation deviation of DMW (Duan-Moller-Weare) EOS and BS (Belonoshko-Saxena) EOS. The shockwave data of methane is also calculated by HL EOS and the AAD are less than 3%. Results show that HL EOS can well describe the thermodynamic state of CH4 at high temperatures.%为满足描述爆轰环境下高温气体高温、中高压状态的需求，本文提出了一种基于Lennard-Jones(LJ)势能函数的简化维里型状态方程Han-Long(HL).应用HL状态方程计算了甲烷1000 K 以上112组理论和实验数据，计算所得体积平均绝对偏差约为1%，最大误差为3.28%，远低于DMW状态方程和BS状态方程的计算偏差.采用HL状态方程计算了甲烷冲击试验的热力学数据，计算所得体积偏差均小于3%.结果表明， HL状态方程能够很好的描述高温甲烷的热力学状态.
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