目的 为解决印前印刷参数(印刷速度和印刷压力等)的选择问题，提出油墨渗透压力分布的级数解法。方法 考虑纸张的压缩变化，利用一维渗流方程导出纸张中油墨渗透压力分布的时空演化级数解;基于本级数解和实验数据，对印刷过程中油墨渗透压力分布进行数值实验，建立基于实验参数的油墨渗透压力分布时空演化方程。结果 绘制出了可压缩纸张中油墨渗透压力分布时空演化曲线，实现了印刷压力分布的时空演化模拟。结论 得到了油墨在可压缩纸张中渗透压力的级数解解析方法，可以实现油墨渗透压力分布时空演化的定量解析计算与模拟，为印前印刷参数的选择与设计提供了理论依据。

In order to solve the problem of selecting prepress printing parameters (printing speed, printing pressure, etc.), a series solution of ink penetration pressure distribution was proposed. Considering the change of paper compression, the series solution of the time-space evolution of ink penetration pressure distribution in paper was derived using one-dimensional seepage equation; based on the numerical solution and experimental data, the numerical experiment of ink penetration pressure distribution in printing process was carried out, and the time-space evolution equation of ink penetration pressure distribution based on experimental parameters was established. The time-space evolution curve of ink penetration pressure distribution in compressible paper was drawn, and the time-space evolution simulation of printing pressure distribution was realized. This paper presents a series analytical method of ink penetration pressure in compressible paper, which can realize the quantitative analytical calculation and simulation of the spatial and temporal evolution of ink penetration pressure distribution, and provide a theoretical basis for the selection and design of prepress printing parameters.