Anna Scotti


Researcher in numerical analysis

Phone:+39 02 2399 4618
Fax: +39 02 2399
Office: Tender 13A -
Email:

  • Available MOX Reports
  • Theses
  • Thesis Proposals
  • MOX Projects

Fumagalli, A.; Scotti, A.
A mathematical model for thermal single-phase flow and reactive transport in fractured porous media


Formaggia, L.; Scotti, A.; Fumagalli, A.
Numerical Methods for Flow in Fractured Porous Media


Fumagalli, A.; Scotti, A.; Formaggia, L.
Performances of the mixed virtual element method on complex grids for underground flow


Cerroni, D.; Formaggia, L.; Scotti, A.
A control problem approach to Coulomb's friction


Fumagalli, A.; Scotti, A.
Reactive flow in fractured porous media


Antonietti,p.f.; De Ponti, J.; Formaggia, L.; Scotti, A.
Preconditioning techniques for the numerical solution of flow in fractured porous media


Delpopolo Carciopolo, L.; Formaggia, L.; Scotti, A.; Hajibeygi, H.
Conservative multirate multiscale simulation of multiphase flow in heterogeneous porous media


Delpopolo Carciopolo L.; Bonaventura L.; Scotti A.; Formaggia L.
A conservative implicit multirate method for hyperbolic problems


Vadacca, L.; Colciago, C. M.; Micheletti, S.; Scotti, A.
Three-dimensional fault representation by interface and solid elements: effects of the anisotropy of the fault zone permeability on the timing of triggered earthquakes


Giovanardi, B.; Formaggia, L.; Scotti, A.; Zunino P.
Unfitted FEM for modelling the interaction of multiple fractures in a poroelastic medium


Formaggia, L.; Scotti, A.; Sottocasa, F.
ANALYSIS OF A MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA


Notaro, D.; Cattaneo, L.; Formaggia, L.; Scotti, A.; Zunino, P.
A Mixed Finite Element Method for Modeling the Fluid Exchange between Microcirculation and Tissue Interstitium


Giovanardi, B.; Scotti, A.; Formaggia, L.
A hybrid XFEM - Phase Field (Xfield) method for crack propagation in brittle materials


Flemisch, B.; Fumagalli, A.; Scotti, A.
A review of the XFEM-based approximation of flow in fractured porous media


Del Pra, M.; Fumagalli, A.; Scotti, A.
Well posedness of fully coupled fracture/bulk Darcy flow with XFEM


Antonietti, P.f.; Formaggia, L.; Scotti, A.; Verani, M.; Verzotti, N.
Mimetic finite difference approximation of flows in fractured porous media


Giovanardi, B.; Scotti, A.; Formaggia, L.; Ruffo, P.
A general framework for the simulation of geochemical compaction


Agosti, A.; Formaggia, L.; Giovanardi, B.; Scotti, A.
Numerical simulation of geochemical compaction with discontinuous reactions


Agosti, A.; Formaggia, L.;scotti, A.
Analysis of a model for precipitation and dissolution coupled with a Darcy flux


Antonietti, P; Panfili, P.; Scotti, A.; Turconi, L. ; Verani, M.; Cominelli,a.; Formaggia,l.
Optimal techniques to simulate flow in fractured reservoirs


Cattaneo, L.; Formaggia, L.; Iori G. F.; Scotti, A,; Zunino, P.
Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces


Fumagalli, A.; Scotti, A.
An efficient XFEM approximation of Darcy flows in fractured porous media


Fumagalli, A.; Scotti, A.
A numerical method for two-phase flow in fractured porous media with non-matching grids


Formaggia, L.; Fumagalli, A.; Scotti A.; Ruffo, P
A reduced model for Darcy s problem in networks of fractures


Fumagalli, A.;scotti, A.
An unfitted method for two-phase flow in fractured porous media.


Formaggia, L.; Guadagnini, A.; Imperiali, I.; Lever, V.; Porta, G.; Riva, M.; Scotti, A.; Tamellini, L.
Global Sensitivity Analysis through Polynomial Chaos Expansion of a basin-scale geochemical compaction model


Fumagalli, A.; Scotti, A.
A reduced model for flow and transport in fractured porous media with non-matching grids


Fumagalli,a.; Scotti,a.
Numerical modelling of multiphase subsurface flow in the presence of fractures


D'angelo, C.; Scotti, A.
A Mixed Finite Element Method for Darcy Flow in Fractured Porous Media with non-matching Grids


Tamellini, Lorenzo; Formaggia, Luca; Miglio, Edie; Scotti, Anna
An Uzawa iterative scheme for the simulation of floating boats


Formaggia, Luca; Scotti, Anna
Positivity and conservation properties of some integration schemes for mass action kinetics


Formaggia, Luca; Miglio, Edie; Mola, Andrea; Scotti, Anna
Numerical simulation of the dynamics of boats by a variational inequality approach


Modelling transport and reactions in geothermal reservoirs

Fluid flow in the underground for the exploitation of geothermal reservoirs can be highly affected by the presence of fractures and faults. The main challenge in dealing with such objects, from now on simply called fractures, consists in dealing with their geometrical and physical characteristics, which can differ greatly from those of the surrounding porous medium. Depending on their permeability, they can act as channels for the flow allowing a fast communication in the underground or they can be barriers blocking the flow and isolating part of the reservoir. Another important aspect is their aperture which is usually in the order of millimetres/centimetres in a domain of hundreds of meters of even kilometers. These aspects make a proper mathematical modeling and numerical scheme for the resolution of the flow equations particularly difficult. In the application of our interest, geothermal systems, cold water is injected through a well, flows and is heated in the underground and is extracted from a production well. To make the system economically sustainable a well connected network of open fractures is essential to increase the flow rate from the production well. However, depending on the composition of the sedimentary layer and on the temperature field, chemical effects can have a non-negligible effect on the flow. Indeed, we can observe dissolution of minerals into water,and/or precipitation of solutes onto the porous medium. These reactions may involve several minerals such as quartz and calcite. In the presence of fractures dissolution and precipitation can change the aperture and therefore their ability to transmit fluid, altering the performances of the geothermal system. The objective of the thesis is to enhance an existing code including the effects of passive transport in the fracture network to account for the advection of minerals dissolved in water Moreover, we aim at including the effect of dissolution and precipitation on the geometry and permeability of the fractures. The resulting multiphysics coupled problem will be solved with a suitable strategy chosen among a fully monolithic approach, a simple sequential splitting and an iterative splitting after studying the characteristic scales of the processes and the strength of the coupling in different situations. La tesi si inserisce nella linea di ricerca su Metodi per equazioni alle derivate parziali. Il lavoro, pensato per una persona, ha un contenuto modellistico elevato, un contenuto teorico basso e un contenuto di programmazione elevato. Complessivamente si tratta di una tesi di media difficoltà. Si consiglia di consultare la seguente bibliografia essenziale: I requisiti richiesti al laureando sono: Good programming skills. Interest in applied problems. The work is in collaboration with the Department of Mathematics of the University of Bergen: a visit to their porous media group is a possibility.



Modelling transport and reactions in geothermal reservoirs

Fluid flow in the underground for the exploitation of geothermal reservoirs can be highly affected by the presence of fractures and faults. The main challenge in dealing with such objects, from now on simply called fractures, consists in dealing with their geometrical and physical characteristics, which can differ greatly from those of the surrounding porous medium. Depending on their permeability, they can act as channels for the flow allowing a fast communication in the underground or they can be barriers blocking the flow and isolating part of the reservoir. Another important aspect is their aperture which is usually in the order of millimetres/centimetres in a domain of hundreds of meters of even kilometers. These aspects make a proper mathematical modeling and numerical scheme for the resolution of the flow equations particularly difficult. In the application of our interest, geothermal systems, cold water is injected through a well, flows and is heated in the underground and is extracted from a production well. To make the system economically sustainable a well connected network of open fractures is essential to increase the flow rate from the production well. However, depending on the composition of the sedimentary layer and on the temperature field, chemical effects can have a non-negligible effect on the flow. Indeed, we can observe dissolution of minerals into water,and/or precipitation of solutes onto the porous medium. These reactions may involve several minerals such as quartz and calcite. In the presence of fractures dissolution and precipitation can change the aperture and therefore their ability to transmit fluid, altering the performances of the geothermal system. The objective of the thesis is to enhance an existing code including the effects of passive transport in the fracture network to account for the advection of minerals dissolved in water Moreover, we aim at including the effect of dissolution and precipitation on the geometry and permeability of the fractures. The resulting multiphysics coupled problem will be solved with a suitable strategy chosen among a fully monolithic approach, a simple sequential splitting and an iterative splitting after studying the characteristic scales of the processes and the strength of the coupling in different situations. La tesi si inserisce nella linea di ricerca su Metodi per equazioni alle derivate parziali. Il lavoro, pensato per una persona, ha un contenuto modellistico elevato, un contenuto teorico basso e un contenuto di programmazione elevato. Complessivamente si tratta di una tesi di media difficoltà . Si consiglia di consultare la seguente bibliografia essenziale: I requisiti richiesti al laureando sono: Good programming skills. Interest in applied problems. The work is in collaboration with the Department of Mathematics of the University of Bergen: a visit to their porous media group is a possibility.



Simulazione FEM di strutture in legno /FEM simulation of timber structures

Il lavoro di tesi proposto è in collaborazione con il Dipartimento ABC (Architettura, Ingegneria delle Costruzioni e ambiente costruito) del Politecnico di Milano e si propone di affrontare il problema della simulazione numeriche di strutture formate aste in legno. Lo scopo finale è l'ottimizzazione del progetto in varie condizioni di carico previste dalla normativa. Sebbene esistano strumenti per la simulazione di tali strutture con il metodo degli elementi finiti (ad esempio RFEM, RTIMBER) questi solver non sono integrati con tool di progettazione parametrica quali Grasshopper, per cui il processo iterativo di ottimizzazione della struttura risulta macchinoso e "manuale". Intendiamo quindi sviluppare un solver indipendente e interfacciabile con Grasshopper (linguaggio Python) che sia in grado, seppure in configurazioni semplificare, di calcolare lo stato di sforzo-deformazione e di verificare strutture ad aste (eg. Travi e pilastri) in legno data la geometria e la configurazione di carico. Anche se, in condizioni normali di progetto il comportamento del legno è lineare elastico questo materiale presenta una diversa normativa che non permette l'utilizzo dei tool parametrici esistenti atti al calcolo di strutture in metallo. Possibili approfondimenti sono quindi lo studio della dipendenza del comportamento reologico dalle condizioni ambientali e in particolare dall'umidità assorbita, dal tempo e dall'eventuale esposizione al fuoco.

 

Riferimenti:

Daniel Konopka , Clemens Gebhardt , Michael Kaliske - Numerical modelling of wooden structures  Journal of Cultural Heritage 27S (2017)

B. D’Amico, A. Kermani, H. Zhang, A. Pugnale, S. Colabella, S. Pone - Timber gridshells: Numerical simulation, design and construction of a full scale structure. Structures, (2015).

[ENG]

The thesis is in collaboration with the ABC Department of Politecnico  and is focused on the simulation of timber structures. The final goal is the optimization of the project in different loading conditions according to the requirements and regulations. Although some tools for the FEM simulations of such structures are already available (e.g. RFEM, RTIMBER) these solvers are not integrated with parametric design tools such as  Grasshopper, and thus at the moment the iterative optimization process is manual and cumbersome. We plan to develop an independent solver that is compatible with Grasshopper (thus in Python) and is able to compute the stress and deformation state of timber beams/pillars structures, and to verify them given the geometry and the loading, even if, in the beginning, in simplified situations. Even if, in normal operating conditions timber behaves as linear elastic this material is subject to a different regulation that prevents us from using the simulation tools designed for metal structures. Possible developments of this work are thus the study of the dependence of the rheology in environmental conditions and in particular moisture sorption, on time and possibly on the exposure to fire.

References:

Daniel Konopka , Clemens Gebhardt , Michael Kaliske - Numerical modelling of wooden structures  Journal of Cultural Heritage 27S (2017)

B. D’Amico, A. Kermani, H. Zhang, A. Pugnale, S. Colabella, S. Pone - Timber gridshells: Numerical simulation, design and construction of a full scale structure. Structures, (2015).

 



Non-standard Numerical Methods For Geophysics,Indam-gncs


Kafres,Eni S.p.a., Divisione E&p
Modeling of upscaling techniques for flow in fractured material

Compgeo,Eni S.p.a., Divisione E&p
Modeling of geochemical compaction processes

Imigro,Eni S.p.a., Divisione E&p
Modeling of oil migration and expulsion in fractured material

Modelling Della Compattazione Secondaria Della Source,Eni S.p.a.
Development of numerical algorithm to simulate the geochemical and mechanical mechanisms in the source rock that give rise to the conversion of kerogen into hydrocarbon, and the expulsion of the latter.

Eni,Eni S.p.a.
Modeling of the dynamical evolution of a sedimentary basin