Parametric Identification Of A Karst Aquifer
Author(s)
G. Chiaia & G. Ranieri
Abstract
The parametric identification of non-homogeneous aquifers is a highly complex
task because it requires the performance of a large number of infield trials, which
often yield results that are difficult to interpret or have doubtful reliability.
Moreover, the physically continuous nature of the hydrogeological parameters to
be identified (typically conductivity) means that the experimental data need to be
applied to the territory, a task which is often difficult in view of their great
variability.
An alternative approach that has been studied in recent years is parametric
identification by means of the solution of the Inverse Problem (I.P.). This
method requires a generic hydrogeological knowledge of the aquifer, and the
availability of a sufficient number of piezometric survey points on the area where
the identification is to be made. The method is potentially able to provide
detailed information on the aquifer characteristics, at decidedly competitive costs
in terms of money and time as compared with those for the application of the
direct method. However, its use is largely limited to the scientific field at
present, and few technical applications have been described for the management
of territorial scale aquifers.
This is because by its very nature, the inverse problem has the characteristic
of an intrinsically ill-posed problem, in the sense that it frequently has no unique,
stable solution.
Many researchers have investigated the causes of this poor formulation of the
problem, recognizing the fundamental role played by the type of boundary
conditions, the accuracy of reconstruction of the piezometric surface and the type
and structure of the parametric method adopted.
In the present work, after making a preliminary overview of the theoretical
reasons why the I.P. is ill-posed, the above aspects are analysed in the context of
a real aquifer with an extension of approximately 100 km2. After describing the
method used to reconstruct the piezometric surface and individuating the
boundary conditions, we illustrate the effects on the solution of the I.P. of
different types of parametrization of conductivity.
Keywords: inverse solution, territorial scale aquifer, piezometric surface,
mathematical model.
Keywords
inverse solution, territorial scale aquifer, piezometric surface,
mathematical model.
Related Book
Other papers in this volume
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