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考虑双重沉积模式的多孔介质中颗粒三维迁移模型研究
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Study on Three-dimensional Particle Migration Model in Porous Media with Dual Deposition Modes
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    摘要:

    基于经典的颗粒一维运移模型,建立了考虑筛滤效应与吸附效应的双重沉积模式颗粒三维迁移模型.通过拉普拉斯变换和傅里叶变换,导出了一维渗流和三维弥散条件下饱和半无限多孔介质中颗粒迁移通解.根据半无限体表面点源注入情形下的基本解,通过积分方法得到圆形面源注入情形下的解析表达式.通过解的退化及对突破曲线的参数反演验证了解的正确性.分析了圆形面源恒定浓度注入情况下水动力弥散系数、筛滤系数、颗粒吸附系数、释放系数等参数对颗粒迁移过程的影响机理.研究结果表明:水动力弥散效应加速了颗粒物的迁移,使得突破时间变快,峰值浓度变高.筛滤系数和颗粒吸附系数的越大,颗粒释放系数越小,颗粒物在固体基质上的沉积越多,孔隙中颗粒峰值浓度越小.圆形面源恒定浓度注入情况下,在颗粒注入期间,多孔介质中颗粒物浓度随时间增大而增大,随深度增加而减小并趋于0.在颗粒停止注入后,多孔介质中颗粒物浓度随时间增大而减小,在深度上存在浓度峰值,浓度峰值所处的深度随时间增加而增加.

    Abstract:

    Based on the classical one-dimensional particle migration model, a three-dimensional particle migration model with a double deposition model was established, which considered both the sieve effect and the adsorption effect. Using Laplace and Fourier transforms the general solution of particle migration in saturated semi-infinite porous media under one-dimensional seepage and three-dimensional dispersion conditions is derived. According to the basic solution of point source injection on a semi-infinite body surface, the analytical expression of circular surface source injection is obtained by the integral method. The correctness of the understanding is verified by the degradation of the solution and the parameter inversion of the breakout curve. The influence mechanism of the hydrodynamic dispersion coefficient, sieve coefficient, particle adsorption coefficient, and particle desorption coefficient on the particle migration process was analyzed under constant concentration injection of the circular surface source. The results show that the hydrodynamic dispersion effect accelerates the migration of particles, making the breakthrough time faster and the peak concentration higher. The larger the sieving coefficient and particle adsorption coefficient, the smaller the particle release coefficient, the more particles deposited on the solid matrix, and the smaller the peak particle concentration in the pore. In the case of constant concentration injection of circular surface source, the concentration of particles in porous media increases with time and decreases with depth, and tends to 0 during particle injection. After particle injection is stopped, the concentration of particles in the porous media decreases with time, and there is a concentration peak in depth. The depth of the concentration peak increases with time.

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刘晓明 ?,涂树杰 ,阳栋 ,杨泽曦 ,刘涛 .考虑双重沉积模式的多孔介质中颗粒三维迁移模型研究[J].湖南大学学报:自然科学版,2023,(7):178~187

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  • 在线发布日期: 2023-07-31
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