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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Uncertainty Quantification of geochemical and mech
anical compaction in layered sedimentary basins -
Lorenzo Tamellini (Istituto di Matematica Applicat
a e Tecnologie Informatiche (IMATI))
DTSTART;TZID=Europe/London:20180214T110000
DTEND;TZID=Europe/London:20180214T130000
UID:TALK100720AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/100720
DESCRIPTION:This presentation is joint work of:  \; Ivo
Colombo\, Dipartimento di Ingegneria Civile e Ambi
entale\, Politecnico di Milano\, Italy Fabio Nobi
le\, CSQI-MATHICSE\, Ecole Polytechnique Fé\
;dé\;rale de Lausanne\, Switzerland Giovann
i Porta\, Dipartimento di Ingegneria Civile e Ambi
entale\, Politecnico di Milano\, Italy Anna Scott
i\, MOX\, Dipartimento di Matematica\, Politecnico
di Milano\, Italy Lorenzo Tamellini\, CNR - Isti
tuto di Matematica Applicata e Tecnologie Informat
iche &ldquo\;E. Magenes&rdquo\;\, Pavia\, Italy &
nbsp\;  \; In this work we propose an Uncert
ainty Quantification methodology for the evolution
of sedimentary basins undergoing mechanical and g
eochemical compaction processes\, which we model a
s a coupled\, time-dependent\, non-linear\, monodi
mensional (depth-only) system of PDEs with uncerta
in parameters.  \; Specifically\, we consid
er multi-layered basins\, in which each layer is c
haracterized by a different material. The multi-la
yered structure gives rise to discontinuities in t
he dependence of the state variables on the uncert
ain parameters. Because of these discontinuites\,
an appropriate treatment is needed for surrogate m
odeling techniques such as sparse grids to be effe
ctive.  \; To this end\, we propose a two-s
teps methodology which relies on a change of coord
inate system to align the discontinuities of the t
arget function within the random parameter space.
Once this alignement has been computed\, a standar
d sparse grid approximation of the state variables
can be performed. The effectiveness of this proce
dure is due to the fact that the physical location
s of the interfaces among layers feature a smooth
dependence on the random parameters and are theref
ore amenable to sparse grid polynomial approximati
ons.  \; We showcase the capabilities of our
numerical methodologies through some synthetic te
st cases.  \;
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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