中文摘要：

讨论了多孔介质中以硫酸盐为主的多组分溶质运移的数学模型．鉴于模型参数的不可直接测量性，提出了一类多参数反演问题，并应用最佳摄动量迭代算法进行了不同参数取值条件下的数值模拟．数值反演结果表明，给出的最佳摄动量迭代算法至少对于所提出的多方程、多参数的反演问题是有效的．

英文摘要：

A mathematical model was discussed for multi-component solutes transport in porous medium dominated by sulfate. Since the model parameters could not be measured directly, an inverse problem of determining model parameters was put forward, and numerical inversions for a real life example of multi-component solutes transport under different conditions were carried out by applying an optimal perturbation iteration algorithm. The computational inversion results show that the optimal perturbation iterative algorithm used in this paper is effective at least to the inverse problem of multi-parameter identification arising in a group of partial differential equations.