In this study, the deposition rate of asphaltene particles is modeled considering the asphaltene particles interactions using the population balance approach. The modeling consists of three sub-models: (1) The distribution of the asphaltene particles along the pipe, (2) The transfer of asphaltene particles from the bulk to the wall using the Eulerian approach, (3) Adhesion of asphaltene particles to the wall. The most important transport and deposition mechanisms, including the drag, molecular diffusion, eddy diffusion, turbo-phoresis, and thermo-phoresis, are considered in simulations. To calculate the adhesion velocity, the concept of the adhesion coefficient is employed for particle bins. The results of adhesion velocity show that the particle size, surface temperature and fluid velocity strongly affect the adhesion of particles. Therefore, accurate modeling of the adhesion step considering the interaction of the particles has significant effects on the prediction of asphaltene deposition rate. Furthermore, the effects of changing the process conditions including the surface temperature, fluid velocity and asphaltene concentration on the deposition rate and size distribution of particles, are investigated. The results showed that considering the particle size distribution and particles’ interaction reduces the error of numerical simulations. The developed framework can be employed for further investigation of asphaltene deposition using multi-fluid approaches.

在这项研究中，使用种群平衡方法考虑沥青质颗粒之间的相互作用，对沥青质颗粒的沉积速率进行建模。该模型由三个子模型组成：（1）沥青质颗粒沿管道的分布；（2）使用欧拉方法将沥青质颗粒从主体转移到壁上；（3）沥青质颗粒与混凝土的粘附壁。在仿真中考虑了最重要的传输和沉积机制，包括阻力，分子扩散，涡流扩散，涡轮电泳和热电泳。为了计算粘附速度，将粘附系数的概念用于颗粒箱。粘附速度的结果表明，粒径，表面温度和流体速度强烈影响颗粒的粘附。因此，考虑到颗粒之间的相互作用，对粘附步骤进行精确建模对预测沥青质沉积速率具有重要影响。此外，研究了改变工艺条件（包括表面温度，流体速度和沥青质浓度）对沉积速率和颗粒尺寸分布的影响。结果表明，考虑颗粒尺寸分布和颗粒间的相互作用可减少数值模拟的误差。所开发的框架可用于使用多流体方法进一步研究沥青质沉积。研究了改变工艺条件（包括表面温度，流速和沥青质浓度）对颗粒沉积速率和粒径分布的影响。结果表明，考虑颗粒尺寸分布和颗粒间的相互作用可减少数值模拟的误差。所开发的框架可用于使用多流体方法进一步研究沥青质沉积。研究了改变工艺条件（包括表面温度，流速和沥青质浓度）对颗粒沉积速率和粒径分布的影响。结果表明，考虑颗粒尺寸分布和颗粒间的相互作用可减少数值模拟的误差。所开发的框架可用于使用多流体方法进一步研究沥青质沉积。