Mathematical models are the effective tool to solve different tasks predicting pollutant movement. The finite difference method is the oldest, but still remains widely used in hydrogeological practice. However, this method is not very useful to construct the new transport models because it cannot approximate the shape of remediation elements exactly. Therefore the book is concerned with the FEM (Finite Element Method) and BEM (Boundary Element Method), and also with the comparison of advantages of these methods in groundwater hydrology. The combination of the BEM and the random-walk particle…mehr
Mathematical models are the effective tool to solve different tasks predicting pollutant movement. The finite difference method is the oldest, but still remains widely used in hydrogeological practice. However, this method is not very useful to construct the new transport models because it cannot approximate the shape of remediation elements exactly. Therefore the book is concerned with the FEM (Finite Element Method) and BEM (Boundary Element Method), and also with the comparison of advantages of these methods in groundwater hydrology. The combination of the BEM and the random-walk particle tracking method, which seems to be a very useful tool to model the spread of pollution in groundwater, are also presented. The computer programmes have been developed on the basis of the theoretical backgrounds of these methods. They use the Visual C++ programming language for Windows 95/NT platform and will be included in the book.
1 Introduction.- 2 Basic Equations of Groundwater Flow.- 2.1 Basic Principles of Hydrodynamics.- 2.2 Flow Through the Saturated Zone.- 2.3 Flow Through the Unsaturated Zone.- References.- 3 Basic Equations of Transport of Pollutants in Porous Media.- 3.1 Miscible Displacement.- 3.2 Transport of Immiscible Pollutants.- References.- 4 Weighted Residuals Method.- 4.1 Basic Terms and Definitions.- 4.2 Weighted Residuals Method.- 4.3 Weak Solution.- 4.4 Inverse Formulation.- 4.5 Numerical Methods Used in Problems of Groundwater Hydraulics.- References.- 5 Mathematical Models of Groundwater Flow.- 5.1 Groundwater Flow in the Saturated Zone.- 5.2 Flow in Unsaturated Zone.- References.- 6 Mathematical Models of Transport of Miscible Pollutants.- 6.1 Basic Methods.- 6.2 Equilibrium Sorption.- 6.3 Non-Equilibrium Sorption.- References.- 7 Comparison of Properties of All the Methods.- 7.1 Groundwater Flow Models.- 7.2 Models of Transport of Pollution.- 8 Examples of the Use of Models in Practice.- 8.1 Models to Determine Groundwater Resources.- 8.2 Models to Assess Different Influences on Groundwater.- 8.3 Remediation Models.- References.- 9 Description of Software Included in This Book.- 9.1 BEFLOW System.- 9.2 System UNSDIS.- 9.3 Examples.- References.
1 Introduction.- 2 Basic Equations of Groundwater Flow.- 2.1 Basic Principles of Hydrodynamics.- 2.2 Flow Through the Saturated Zone.- 2.3 Flow Through the Unsaturated Zone.- References.- 3 Basic Equations of Transport of Pollutants in Porous Media.- 3.1 Miscible Displacement.- 3.2 Transport of Immiscible Pollutants.- References.- 4 Weighted Residuals Method.- 4.1 Basic Terms and Definitions.- 4.2 Weighted Residuals Method.- 4.3 Weak Solution.- 4.4 Inverse Formulation.- 4.5 Numerical Methods Used in Problems of Groundwater Hydraulics.- References.- 5 Mathematical Models of Groundwater Flow.- 5.1 Groundwater Flow in the Saturated Zone.- 5.2 Flow in Unsaturated Zone.- References.- 6 Mathematical Models of Transport of Miscible Pollutants.- 6.1 Basic Methods.- 6.2 Equilibrium Sorption.- 6.3 Non-Equilibrium Sorption.- References.- 7 Comparison of Properties of All the Methods.- 7.1 Groundwater Flow Models.- 7.2 Models of Transport of Pollution.- 8 Examples of the Use of Models in Practice.- 8.1 Models to Determine Groundwater Resources.- 8.2 Models to Assess Different Influences on Groundwater.- 8.3 Remediation Models.- References.- 9 Description of Software Included in This Book.- 9.1 BEFLOW System.- 9.2 System UNSDIS.- 9.3 Examples.- References.
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