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Numerical Analysis

    L. Bergamaschi, G. Gambolati, G. Pini, M. Putti, G. Zilli, D. Baù,
    A. Comerlati, A. Mazzia, P. Teatini, M. Ferronato

External Collaborators:
     M. Gonella, C. Paniconi, F. Sartoretto

Description of the research projects

  • Three-dimensional model of anthropogenic land subsidence due to gas extraction from the gas fields of the Northern Adriatic basin.

  • Study, development and implementation of a nonlinear three-dimensional finite element model for the prediction of the expected land subsidence due to compaction of gas reservois planned to be developed in the Northern Adriatic basin. Development and implementation of a nonlinear three-dimensional finite element model to simulate the propagation of the pore pressure drawdown in the lateral/bottom aquifers hydraulically connected to the gas fields.
  • Mathematical model for the prediction of the expected residual land subsidence close to the Dosso degli Angeli gas field, Ravenna.

  • Study, development and implementation of three-dimensional finite element land subsidence and waterdrive dynamics models induced by gas extraction. Coupling to the real gas equation of state to simulate the pore pressure distribution and the related land subsidence / surface rebound after the field abandonment. Application to the Dosso degli Angeli gas field, Ravenna.
  • Statistical as well FE analysis of in situ compaction masurements by radioactive marker technique (RMT).

  • Statistical approach for the computation of a constitutive model for the uniaxial vertical compressibility of the Northern Adriatic sedimentary basin based on in situ deformation measurements by RMT. Interpretation of the FSMT (Formation Subsidence Monitoring Tool) and CMI (Compaction Monitoring Instrument) measurements and derivation of a constitutive model of the basin to be used for the prediction of anthropogenic land subsidence due to gas extraction.
  • Study of radionuclide contamination of soil and groundwater at the Lake Karachai Waste Disposal Site (Russia) and the Chernobyl Accident Site (Ukraine).

  • The principal aim of research was to develope an efficient and accurate finite element 3-D model for the simulation of transport of radioactive contaminants in the areas indicated. (EU Project RaCoS).
  • Coupled surface-subsurface flow of water at the catchment scale.

  • Study of coupled surface runoff subsurface flow models for the simulation of hydrological events at the catchment scale. Data assimilation techniques are studied and implemented to improve the accuracy of the simulated predictions. Applications to the Chrenobyl basin and to other European catchments have and will be performed.
  • Developement and implementation of saltwater intrusion models in coastal aquifers and application to aquifers in the Mediterranean Sea.

  • The study aims at the development of an information system for the symulation and management of the hydrological resources of Meditarranean coastal aquifers. Numerical models for coupled flow and seawater transport qill be developed and simulations performed for aquifers in Israel, Tunisia and Morocco. (Avicenne Project).
  • Projection methods for solution of large, sparse, symmetric and unsymmetric linear systems with real as well as complex coefficients.

  • Study, developement and implementation of iterative methods such as preconditioned conjugate gradient (GMRES, Bi-CGSTAB and TFQMR) for the solution of large spase linear complex systems arising from FELT (Finite Element Laplace Transform) developed for the solution of transport reactive equation in porous medium in non-equlibrium condition.
  • Models and numerical methods for parallel computers.

  • The aim of research is to solve, employing parallel techniques, linear sparse finite element systems and evaluate the corresponding eigenpairs. This study is strictly related to the numerical solution of large flow models developed in a parallel environment.
  • Non linear systems and optimization.
  • In particular interior point methods have been employed successfully in large size optimization problems. Inexact Newton and quasi-Newton methods was used, experimenting iterative solvers with convenient preconditioners.
  • OSC (Orthogonal Subdomain Collocation) method for conservation solutions with finite elements of flow equations in porous media.

  • The accuracy of linear Galerkin finite element methods for the solution of flow equation in porous media was studied with particular emphasis on properties of mass conservation in the case of nonstructured mesh.
  • Mixed Finite Element models and Newton-type methods for the solution of the flow equation in unsaturated porous media.

  • The research studies the numerical techniques used in the solution of the nonlinear Richards equations, governing flow in variably saturated porous media. In particular the application of the mixed finite element approach for spatial discretization qill be studied.
  • 2D and 3D Finite Volumes and Mixed Finite Elements models for the solution of the variable density coupled flow and transport equations in saturated porous media.

  • Study and implementation of numerical methods for the solution of the model of coupled flow and contaminant transport in porous media. In particular, the flow equation is discretized via mixed hybrid finite elements while the transport equation by means of a combination of mixed finite element and finite volume methods coupled through time splitting of the operators. The overall approach achieves high accuracy and robustness.
  • Modeling CO2 (carbon dioxide) sequestration in deep saline aquifers.

  • The project adresses the feasibility and safety of injecting CO2, produced for example by thermo-electrical power plants and separated from other flue gases, in deep saline aquifers and depleted gas reservoirs such as those existing in the Upper Adriatic Basin. (University Padova project).
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Pagina modificata il 29 Luglio 2003