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| Author(s): |
María Margarita Méndez Díaz
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD) |
| Defense date: | 2000-04-20 |
| Examining board members: |
Fazal Hussain Chaudhry;
José Alberto Cuminato;
Luisa Fernanda Ribeiro Reis;
Harry Edmar Schulz;
Alvaro Macedo da Silva
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| Advisor: | Fazal Hussain Chaudhry |
| Abstract | |
An inverse method for the estimation of flux and transport parameters in heterogeneous confined aquifers is developed. The spatial distribution of aquifer parameters is represented by means of fractal atractors created using Iterated Function Systems. The inverse problem is then solved in two steps, using an indirect approach that compares sets of available pressure and concentration transients from interference tests to sets of similar data calculated using a mathematical model that simulates flux and transport. In the first step, the inverse problem for flow is solved, obtaining an approximation to the spatial distribution of transmissivities in the aquifer. This result is then used as data for the solution of the inverse problem for transport parameters, obtaining the spatial distribution of coefficients of dispersion. The method is tested with several idealized problems, representing one-dimensional and two-dimensional heterogeneities, which include preferred paths in the aquifer, as well as irregular distributions of the hydrogeologic parameters, that simulate both zones with high permeability and dispersion and zones that constitute barriers for flow and contaminant transport. The method has proved to succeed in finding a solution that reproduces the main features of the spatial distribution of parameters as well as the interference test data, even in the presence of noise in the observed data. Additional numerical tests show that the parameter identification quality can be improved by conditioning the inverse problem to available field measurements of the hydrogeologic parameters (AU) | |