Abstract: On the basis of the analysis of the wax deposition process, based on certain assumptions, the models of wax deposit thickness changes with time were established. By extracting the data of curve of wax deposition thickness with time, the given constants of the models were fitted, and coincidence degree of model calculation value and the experimental value was analyzed. The logarithmic model, exponential model and dynamic balance model could reflect the change trend of wax deposition thickness with time, the coincidence degree of logarithmic model and the experimental results was the best. For exponential model and dynamic balance model, the coincidence degree of model calculation value and the experimental value were much the same, in the initial stage of deposition, the coincidence degree of the exponential model was higher than the dynamic balance model, but when deposition time was closer to the experimental set time, the coincidence degree of the dynamic balance model was higher than the exponential model. The models were simple and practical, and they could also reflect the growth rate trend of wax deposition thickness change with time, the accuracy of each model should be further verified when the models were used for different experimental data, so that the selected models could be truthful and reliable.

Key words: wax deposit thickness, growth trend, logarithmic model, model accuracy

摘要： 在分析蜡沉积过程的基础上, 基于一定的假设条件, 建立了蜡沉积厚度随时间变化的模型。通过提取蜡沉积厚度随时间变化曲线的数据, 拟合了模型中的待求常数, 并对模型计算值和实验值的吻合程度进行了分析。结果表明:对数模型、指数模型及动平衡模型均能反映蜡沉积厚度随时间的变化趋势, 对数模型与实验值的吻合程度最好;指数模型和动平衡模型所得的结果与实验结果的吻合程度相当, 在沉积初期, 指数模型的吻合程度高于动平衡模型, 但当沉积时间接近实验规定时间时, 动平衡模型的吻合程度高于指数模型;所建立的模型简单实用, 能够反映沉积厚度随时间变化的增长快慢趋势, 不同实验数据应用时仍需对各模型的计算精度进一步验证, 从而使得选用模型能更好地符合实际。

关键词: 蜡沉积厚度, 增长趋势, 对数模型, 模型精度