摘要
在多孔介质中核废料污染问题工程实用计算方法的研究,对处理和分析深地层核废料设施的安全均有重要的价值。对于完全可压缩、二维模型,它是地层中迁移的偶合抛物型偏微分方程组的初、边值问题。(i)流体流动,(ii)热量迁移,(iii)主要元素(brine)的相混溶驱动,(iv)微量元素(radionuclide)的相混溶驱动。其对应的方程组如下 流动方程:
A nonlinear parabolic system is derived to describe compressible nuclear waste-disposal contamination in porous modia.The model was developed for use by the Nuclear Regulatory Commission in the analysis of deep geologic nffclear waste-disposal facilities.Two numerical methods (Mixed finite element-characteristics-finite difference methods) are introduced.The brine, radionuclide and heat are treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms.The pressure is treated by a parabolic mixed finite element method.Optimal order estimates are derived for the errors in approxi-mate solutions.
出处
《应用数学学报》
CSCD
北大核心
1992年第1期70-82,共13页
Acta Mathematicae Applicatae Sinica
基金
中国科学院科学基金
