球对称弥散问题的解析解

本文研究定浓度连续注入和段塞式注入条件下的球对称弥散问题。通过对像函数的解析反演，找到了弥散问题的解析解。文中给出了无量纲浓度的分布与变化曲线，这些曲线反映了球形源在孔隙介质中形成的浓度场特征。本解可为巨厚地层的野外球对称弥散试验提供分析手段。为与注入有关的工程提供理论依据，求解技术也可供其它相关问题参考。

Analytical solution for spherical symmertric discursive transport in porous media

This paper investigates the spherical symmetric dispersion problem dealing withsolute transport from a continue and slug injection well in porous media. The partial differential equation describing the transport process belongs to confluenthypergeometric equation. With variable substitution and Laplace transform, thepartial dmerential equation can be converted into Weber equation and its solution isrepresented by parabolic cylinder function. The dimensionless concentration profiles and variation process curves are presented.