摘要
为了探索深部砂岩型铀矿地浸采铀的溶质迁移规律,根据溶质运移渗流的机理,建立铀矿溶质迁移的Caputo-Fabrizio时间分数阶对流扩散模型。利用Lagrange插值基函数构造了该分数阶模型的数值计算格式,并对我国西部某砂岩型铀矿地浸采铀生产过程进行了数值模拟。结果表明,该分数阶模型是有效的,其数值计算格式是高效且易操作的。
In order to explore the law of in-situ leaching of uranium in deep sandstone-type uranium deposits,a time fractional-order advection-diffusion mathematical model of solute migration is established from the perspective of solute transport mechanism.A numerical scheme of the mathematical model is constructed by using Lagrange interpolation basis functions,and the algorithm is applied to a sandstone-type uranium deposit in western China.Numerical simulation results show that the fractional-order model is effective,and the numerical algorithm is efficient and easy to implement.
作者
张文
丁子荣
沈启
王海涛
阮周生
ZHANG Wen;DING Zi-rong;SHEN Qi;WANG Hai-tao;RUAN Zhou-sheng(School of Science, East China University of Technology, Nanchang 330013, China;Hefei Railway Engineering School, Hefei 230000, China;Research Center of Nuclear Technology Application, East China University of Technology, Nanchang 330013, China)
出处
《东华理工大学学报（自然科学版）》
CAS
2022年第3期253-260,共8页
Journal of East China University of Technology(Natural Science)
基金
国家自然科学基金项目(11861007,11961002,12061008)
教育部核技术应用工程中心开放基金项目(HJSJYB2019-4)。
关键词
砂岩型铀矿
分数阶导数
溶质迁移
对流扩散
数值模拟
sandstone-type uranium deposit
fractional-order derivative
solute migration
convective diffusion
numerical simulation
