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Date de référencement
Editeur
Auteur
Titre
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Spectral Analysis (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
We introduce in this lecture the spectral analysis which is based on the Fourier transform. The main objective of using this can of analysis in our studies is to check the scale invariance propriety of the studied field and also to identify the involved processes. The spectral analysis is widely used in fluid dynamics especially in turbulence field. We will show in this lesson that the spectrum of...
Référencé le :
27-04-2018
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Source Of Complexity (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
We saw in the previous lesson some complex systems that can be found in environment. We also highlighted that there is non single definition of complexity. Through this lesson we will focus on the sources of complexity in a given system, what are the issues that can arise for the best model a complex system such as: at what scale should we describe the behaviors of the system's components?. What a...
Référencé le :
27-04-2018
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Resilience (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel, VERSINI Pierre-Antoine |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
Urban flooding is due to a lack of drainage in an urban area. Because of the impervious area, there is little open soil that can be used for infiltration and water storage. Nearly all the precipitation needs to be transfer to surface water or the sewage system. High intensity rainfall can cause flooding when the city sewage system and draining canals do not have the necessary capacity to drain awa...
Référencé le :
27-04-2018
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MultiScale Simulations (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
We have seen during the previous lecture the concept of cascade phenomenology and the different models that can be found in the literature. It has been showed the cascade generation is based on the scale invariance propriety and the multiplicative process. The use of simulation is increasingly common in environmental field because it allows us to access to information at small scale and to have a...
Référencé le :
27-04-2018
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Multiscale Analysis: Methods of Analysis (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
We gave in the courses Multifractal the meaning of the universal multifractal (UM) parameters and , in this courses we will introduce some techniques of estimation of UM parameters based on the scale invariance property of geophysical fields. The first method is the Trace Moment (TM) method which uses the allows to estimate the statistical moment function in the first step and after that to estima...
Référencé le :
27-04-2018
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MultiScale Analysis: Fractal (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
In meteorology, oceanology, climatology, hydrology and more generally in geophysics, the researches (turbulence, chaos, global climate evolution understanding, tectonic, seismology...), in studies (strategies definition of sampling for the next generation satellite, estimation of extreme fluctuations of fields, cyclones trajectory or pollutants...), faced by a fundamental difficulty : the extreme ...
Référencé le :
27-04-2018
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MultiScale Analysis :Multifractal (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
The multifractal analysis is an appropriate framework for addressing and modelling fields with high spatial and temporal variability, particularly with regard to the characteristics of non-uniformity of the phenomena and their extreme behavior. Therefore, the idea of applying this concepts to the description of geophysical variables came naturally to mind scientists.
There exist different areas o...
Référencé le :
27-04-2018
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Introduction to complex systems (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
The environment is a social issue that continues to grow in importance. Its complexity, both cross-disciplinary and multi-scale, has given rise to a large number of scientific and technological locks, that complex systems approaches can solve. Through this module we will give some examples of complex systems that can be found in environment and their observable, we will highlight the variability o...
Référencé le :
27-04-2018
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Extremes (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
The extreme value theory deals with the stochastic behavior of the minimum and the maximum of random variable. It involves a large variety of applications such as natural phenomena: rainfall, floods, atmospheric turbulence, corrosion...etc. The distribution proprieties of extremes and intermediate order statistics are determined by the upper and lower tails of the probability distribution.
Modul...
Référencé le :
27-04-2018
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Dynamical Systems (An Introduction to Complex Systems in Environment)
[Ressource pédagogique]
Date de publication :
20170414 |
Auteur(s) :
MEZEMATE Yacine, SCHERTZER Daniel |
Editeur(s) :
Ecole des Ponts ParisTech, UNIT |
Origine de la fiche :
Université Numérique Ingénierie et Technologie
When we describe the evolution of a system we use several variables, i.e. a set of magnitudes, functions of space and time, the values of which define everything we know about the system completely and unambiguously. Then, the evolution of the systems is given by the evolution of the set of variables, according to some specific laws. A dynamic system is defined by a set of variables and a set of d...
Référencé le :
27-04-2018
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