Inverse Problems In One-Dimension Solute Transport

Solute transport in groundwater has convection and mechanical dispersion characteristics. It can be expressed by partial differential equations. Inverse problem method is discussed, because hydrology geologic parameter mostly can not be measured directly. The method can ont only be of scientific innovation purport but bring socioeconomic performance and environmental benefit.This dissertation deals with parameter inversion problems arising in solute transportation in porous media, and is mainly devoted to gradient-regularization algorithm for such inverse problems of determining hydraulic parameters and source coefficients in one-dimensional advection-dispersion equation. The main works are listed below:1. The ill-posed problems and Tikhonov regularization method are studied.2. The gradient-regularization method is studied and applied to solve inverse problems of determining dispersion coefficient, source magnitude and source coefficient with final observations or breakthrough data in one dimensional advection-dispersion equation.3.Gradient-regularization is applied to simulate inverse problems of determining some coefficients of adverction-dispersion equation in the case of using noisy data. The inversion results are stable showing that the gradient-regularization algorithm here is feasibility and efficiency.4. A modified gradient-regularization with variable numerical step is utilized to solve a joint-inversion problem of determining dispersion coefficient and source magnitude simultaneously, and the inversion result is also satisfactory.