饱和多孔介质中悬浮颗粒一维迁移修正模型及解析解
PDF下载 (293)薛传成,王 艳,刘干斌,程冠初,郭 华,吴章俨.饱和多孔介质中悬浮颗粒一维迁移修正模型及解析解[J].宁波大学学报(理工版),2019,32(1):62-67.DOI:
XUE Chuan-cheng,WANG Yan,LIU Gan-bin,CHENG Guan-chu,GUO Hua,WU Zhang-yan.Modified model and analytical solution of one-dimensional transport of suspended particles in saturated porous media[J].Journal of Ningbo University(Natural Science & Engineering Edition),2019,32(1):62-67.DOI:
| Title: | Modified model and analytical solution of one-dimensional transport of suspended particles in saturated porous media |
| 作者: | 薛传成, 王 艳, 刘干斌, 程冠初, 郭 华, 吴章俨 |
| Author(s): | XUE Chuan-cheng, WANG Yan, LIU Gan-bin, CHENG Guan-chu, GUO Hua, WU Zhang-yan |
| 关键词: | 多孔介质; 一维扩散; Laplace变换; 释放效应 |
| Keywords: | porous media; one-dimensional diffusion; Laplace transformation; release effect |
| 分类号: | TU431 |
| 文献标识码: | A |
| 摘要: | 饱和多孔介质中悬浮颗粒的迁移问题备受人们关注, 研究此问题对人类各种工程作用下环境保护和探索污染迁移规律等方面具有重要意义. 本文对经典颗粒迁移模型进行修正, 在沉积动力学方程中考虑颗粒的沉积再释放, 结合短时注射的初始、边界条件, 通过Laplace变换及其逆变换求得其解析解, 并用数值软件计算作图验证解析解的有效性. 将短时注射条件下的解析解退化, 可得到恒定注射浓度条件下的解析解, 从而验证了结果的正确性; 最后研究了沉积系数、释放系数、注射时间和深度变化等参数对浓度曲线的影响. 结果表明, 浓度曲线的变化对释放系数更为敏感, 沉积释放效应使得穿透曲线产生“拖尾”现象. |
| Abstract: | The migration of suspended particles in saturated porous media has attracted much attention. This study is of significant importance in the aspects of environmental protection, pollution transfer, and other aspects of human engineering. The classical particle migration model was modified to take into account the deposition and re-release of particles in the sedimentation kinetics equation. Combining the initial and boundary conditions of short-term injection, the analytical solution was obtained by Laplace transform and its inverse transformation. The numerical method was used to calculate and verify the correctness of the analytical solution. The analytical solution was degenerated under short-time injection conditions to obtain an analytical solution at a constant injection concentration, verifying the correctness of the results. Finally, the influence of the parameters such as sedimentation coefficient, release coefficient, injection time and depth on the concentration curve was studied. The results indicate that the change of concentration curve is more sensitive to release factor. Due to the sediment release effect, the breakthrough curve has a “tailing” phenomenon. |
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| 备注/Memo: | 收稿日期: 2018－03－25. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/基金项目: 国家自然科学基金（51678311）; 浙江省自然科学基金（LY19E080011）; 宁波市社发重大项目（2017C510002）.第一作者: 薛传成（1994－）, 男, 江苏徐州人, 在读硕士研究生, 主要研究方向: 污染物渗透迁移. E-mail: 785335477@qq.com*通信作者: 王艳（1985－）, 女, 湖北随州人, 博士/副教授, 主要研究方向: 环境岩土工程. E-mail: wangyan@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
