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Systems and models                                                    185































                   Figure 10.3  Propagation of spatial and temporal variation in groundwater.





                   that it emphasises relationships between driving processes and resulting patterns. This makes
                   it possible to link observed patterns of contaminants in soil and water to the most important
                   processes causing the patterns.


                   10.2  THE ROLE OF MATHEMATICAL MODELS
                   In the past thirty years, the increased availability of computing power has led to hydrological,
                   hydrochemical, and ecological computer models becoming widely used for managing
                   soil and water quality with respect to a variety of environmental impacts. Mathematical
                   models that simulate the transport of contaminating substances allow us to evaluate the fate
                   and persistence of these substances in landscape compartments in space and time and to
                   accurately predict the physical, chemical, and biological processes occurring during transport.
                   The main output from these models is the chemical concentration of one or more chemical
                   substances as a function of space or time, or both. The principles of mathematical modelling
                   of solute and particle transport are based on those of systems theory  .
                      We build and apply such environmental models of contaminant transport for the
                   following reasons:
                   1.  To forecast travel time s of pollutants in rivers or groundwater when calamities occur.
                   2.  To assess past, present, or future human exposure to contaminants.
                   3.   To predict future conditions under various scenarios of environmental change and
                      management strategies and to evaluate the effectiveness of possible management actions.
                   4.   To reduce soil and water quality monitoring costs by replacing or supplementing
                      expensive measurements by cheaper model predictions.










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