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在溶质运移理论研究中,一般采用理想化模型的方法,人们曾从两方面进行了尝试,即使用统计随机游动方法和空间平均技术方法。这两种方法都可以推导出相同形式的水动力弥散方程。对一维均匀流场、平面二维水动力弥散、瞬时脉冲注入示踪剂的地下水水质模型解析解,Garslaw和Jaeger等人借助热传导理论早在1959年就导出其结果。但它们包括了孔隙介质中孔隙速度和弥散系数等物理参数的试验与评价,如何准确可靠地确定这些参数是极其重要的。本文通过弥散过程曲线的分析,严格证明了一种确定其参数的新方法,全面总结了这种方法的实施步骤并给予了验证。文章讨论的问题仅限于水动力弥散系统中溶质运移问题。
In the study of solute transport theory, the method of idealized model is generally used. People have tried from two aspects, namely, using statistical random walk method and spatial average technique method. Both methods can derive the same form of hydrodynamic dispersion equation. Analytical solutions for the groundwater quality model with one-dimensional uniform flow field, planar two-dimensional hydrodynamic dispersion, and transient pulse injection of tracers were developed by Garslaw and Jaeger et al. as early as 1959 with the help of the theory of heat conduction. However, they include the testing and evaluation of physical parameters such as pore velocity and dispersion coefficient in porous media. How to determine these parameters accurately and reliably is extremely important. This article analyzes the dispersion process curve and rigorously proves a new method to determine its parameters. It comprehensively summarizes the implementation steps of this method and verifies it. The issues discussed in the article are limited to the problem of solute transport in hydrodynamic dispersion systems.