分别采用Freundlich 模型和Langmuir 模型对苯酚在活性炭上的吸附等温数据进行了拟合分析，并通过改变活性炭添加量和苯酚初始质量浓度研究苯酚在活性炭上的间歇搅拌槽吸附动力学; 同时，在非线性吸附等温条件下，采用有限元法求解了包含液膜传质阻力和表面扩散阻力的均相扩散模型( HSDM) ，结合最小二乘法( 单纯形法和麦夸尔特法交替计算) 来获得液膜传质系数k_f 和表面扩散系数D_s ，在采用麦夸尔特法估算参数的同时，对参数进行了给定区间的置信区间分析．结果表明: Langmuir 模型能较好地描述苯酚在活性炭上的吸附等温曲线; HSDM 可以有效预测苯酚在活性炭上的动态吸附行为; 在一定搅拌速度下，活性炭添加量和苯酚初始质量浓度对液膜传质系数和表面扩散系数基本无影响; 液膜传质系数远大于表面扩散系数，表明苯酚在活性炭上的动态吸附过程是由表面扩散控制的; 所估算的k_f 值相对D_s 值更为准确．

In this paper,first,the adsorption equilibrium data of phenol on activated carbon were fitted by using the Freundlich and the Langmuir models.Next,the adsorption kinetics of phenol in a finite batching stirred vessel was investigated at variable activated carbon dosage and initial phenol mass concentration.Then,a homogeneous surface diffusion model (HSDM),which considers both the film mass transfer and the surface diffusion resistances under nonlinear equilibrium isotherm,was set up and was solved by the finite element method.Moreover,the film mass transfer coefficient k_f  and the surface diffusion coefficient D_s were calculated by means of the least squares method including alternate optimization search of the simplex and the Levenberg- Marquardt algorithm.Finally,the confidence intervals of k_f and D_s were analyzed during the calculation with the Levenberg- Marquardt algorithm.The results show that the Langmuir model well describes the adsorption isotherm of phenol on activated carbon,that the proposed HSDM effectively evaluates the dynamic adsorption of phenol,that both the activated carbon dosage and the initial phenol mass concentration have little effects on the values of k _f and D_s at constant stirring speed,that the k_f value is much larger than the D_s value,meaning that the kinetic adsorption behavior of phenol on activated carbonis controlled by surface diffusion,and that the evaluated k_f value is more precise than D_s value.