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An aging theory-based mathematic model for estimating the wax content of wax deposits using the Fick's second law
Authors:Rongbin Li  Qiyu Huang  Dongxu Zhang  Xiangrui Zhu  Jinxu Shan  Junfang Wang
Affiliation:1. Surface Engineering Pilot Test Center, CNPC, China University of Petroleum-Beijing, Beijing, China;2. Surface Engineering Pilot Test Center, CNPC, China University of Petroleum-Beijing, Beijing, China

Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing, China;3. Sinopec Pipeline Storage & Transportation Co. Ltd, Xuzhou, China

Abstract:In this study, a mathematic model is proposed for estimating the wax content of wax deposits. The proposed model was built based on the diffusion of wax molecules and counter-diffusion of oil molecules and described using the Fick's second law, allowing for the stacking fraction and orientational order of precipitated wax crystals and the tortuosity of diffusion path of de-waxed oil molecules during the counter-diffusion. The calculated results were verified by comparing with the flow-loop wax deposition experimental results. Dependence of radial position, deposition duration, bulk temperature, and wall temperature were investigated. These factors significantly affected the wax content during wax deposition. Good agreements were observed between the predictions and experimental results. The variation trends of wax content affected by various aspects are consistent with the existing studies.
Keywords:aging  mathematic model  wax content  wax deposition
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