Three-dimensional modeling of mass transfer in porous media using the mixed hybrid finite elements and the random-walk methods
Three-dimensional modeling of mass transfer in porous media using the mixed hybrid finite elements and the random-walk methods
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DOI：
10.1023/a:1015083111971
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发表时间：
2002-05-01
期刊：
影响因子：
--
通讯作者：
Ackerer, P
中科院分区：
文献类型：
--
作者：
Hoteit, H;Mose, R;Ackerer, P
提出了一种三维质量输运数值模型。该代码基于一种粒子跟踪技术：随机游走法，该方法基于平流-色散方程和福克-普朗克方程之间的类比。速度场的计算采用流动方程的混合有限元形式。提出了一种新的有效方法来处理福克-普朗克方程与平流-色散方程之间的不相似性，以避免粒子在低色散区域的积累。通过一个层状含水层算例，将该方法与其他常用算法进行了比较，证明了该方法的有效性。该代码通过在实验室模型上进行的三维示踪剂输运实验的仿真验证。它代表了一个长约6米、宽约1米、深约1米的非均质含水层。多孔介质由三种不同的沙子构成。氯化钠用作示踪剂。采用和不采用该方法的仿真值与实测值的比较也证明了新算法的准确性。
A three-dimensional (3D) mass transport numerical model is presented. The code is based on a particle tracking technique: the random-walk method, which is based on the analogy between the advection-dispersion equation and the Fokker-Planck equation. The velocity field is calculated by the mixed hybrid finite element formulation of the flow equation. A new efficient method is developed to handle the dissimilarity between Fokker-Planck equation and advection-dispersion equation to avoid accumulation of particles in low dispersive regions. A comparison made on a layered aquifer example between this method and other algorithms commonly used, shows the efficiency of the new method. The code is validated by a simulation of a 3D tracer transport experiment performed on a laboratory model. It represents a heterogeneous aquifer of about 6-m length, 1-m width, and 1-m depth. The porous medium is made of three different sorts of sand. Sodium chloride is used as a tracer. Comparisons between simulated and measured values, with and without the presented method, also proves the accuracy of the new algorithm.