Assessing air traffic noise around airports: a fuzzy approach

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AUN2014 : Airports in Urban Networks 15-16 Apr 2014 CNIT - Paris la Défense (France) Assessing air traffic noise around airports: a fuzzy approach Assane DIOP, ASECNA, Dakar, Sénégal, tapadiop2000@yahoo.fr Carlos Alberto Nunes Consenza, Labfuzzy, COPPE, Universidade Federal do Rio de Janeiro, Brazil, cosenza@pep.ufrj.br Roger Marcelin FayeUniversité Cheikh Anta Diop, Ecole Supérieure Polytechnique, Dakar, Sénégal, roger.faye@ucad.edu.sn Félix Mora-CaminoMAIAA, Ecole Nationale de l Aviation Civile, Toulouse, France, felix.mora@enac.fr STS N,

CONTENTS Introduction Evaluation of elementary noise impacts Estimation of critical noise impacts Global evaluation of noise impacts Case study Conclusions AUN2014 Paris 15-16 avril 2014 2

EVALUATION OF ELEMENTARY NOISE Some concepts IMPACTS Sound Exposure : ; Sound Exposure Level (SEL) : We have two ways: deterministic and fuzzy evaluation Deterministic evaluation of noise impact If and are two sets, where : set of aircraft types allowed on arrival route r : set of aircraft types allowed on departure route m, then for each feasible triplet an elementary sound exposure level (expressed in db) is computed. AUN2014 Paris 15-16 avril 2014 3

EVALUATION OF ELEMENTARY NOISE Fuzzy evaluation of elementary noise impact Why? -the presence of a significant degree of uncertainty Because of the result : - of aircraft track s dispersion along the nominal routes - of wind intensity and direction How to assess the uncertainty? -the fuzzy noise elementary impact is : and (with positive value) is the degree of uncertainty. AUN2014 Paris 15-16 avril 2014 4

EVALUATION OF ELEMENTARY NOIS Fuzzy evaluation of elementary noise impact Triangular fuzzy dual number of µ:the classical membership function of fuzzy sets. Estimate of dual number : - real part of the mean value ; - standard deviation. AUN2014 Paris 15-16 avril 2014 5

ESTIMATION OF CRITICAL NOISE IMPACTS Characterizing critical noise impacts the upper expected bound of a local impact : Type of indexes computed: - the critical noise event ; -the maximum noise impact which can be expected, AUN2014 Paris 15-16 avril 2014 6

ESTIMATION OF CRITICAL NOISE IMPACTS Characterizing critical noise impacts Resulting noise critical elements AUN2014 Paris 15-16 avril 2014 7

Resulting noise critical elements Designation Noise critical aircraft for route n Noise optimal aircraft of route n: noise critical approach route Expression a n c n c Aa = arg max 10log π lr 10 a ARr ora ADr l L = arg max π lr r R A, a ARr l L + E ( r, a, l)/10 + E ( a l ( r,, )/10 10log 10 ) noise critical departure route AUN2014 Paris 15-16 avril 2014 8

ESTIMATION OF CRITICAL NOISE IMPACTS Comparison of noise impacts To compare and rank partially the different dual fuzzy noise impacts : -Toadoptthedualdifferential extension ofafunction g/ - Ranking rules providing partial orderings between triangular fuzzy dual numbers: - strong partial order defined over the set - weak partial order : - a fuzzy equality written : AUN2014 Paris 15-16 avril 2014 9

GLOBAL EVALUATIONS OF NOISE IMPACT Two ways : - Deterministic evaluation of global noise impact - Fuzzy evaluation of global noise impact Deterministic evaluation of global noise impact : a given traffic flow pattern for one airport The local global noise index impact at receptor l : Improvement : more objective than global noise index based on the size of the surface over a given noise level AUN2014 Paris 15-16 avril 2014 10

GLOBAL EVALUATIONS OF NOISE IMPACT Fuzzy evaluation of global noise impact AUN2014 Paris 15-16 avril 2014 11

GLOBAL EVALUATIONS OF NOISE IMPA Local fuzzy noise impact at receptor l : Global noise impact With Uncertainty about the global noise impact resulting from the uncertainty with respect to the elementary noise impacts : The validity of this result depends on choice of triplet (r, a, l) AUN2014 Paris 15-16 avril 2014 12

CASE STUDY Leopold S. Senghor Airport in Dakar-Senegal Tightly surrounded by different suburbs of Dakar AUN2014 Paris 15-16 avril 2014 13

CASE STUDY Hourly distribution of traffic at Dakar Airport Results -important noise impact of airport activities ; -need to assess new scenarios about arrivals and departure traffic Results AUN2014 Paris 15-16 avril 2014 14

First author s name STS N AUN2014 Paris 15-16 avril 2014 15 Roger M. Fa ye

First author s name STS N AUN2014 Paris 15-16 avril 2014 16 Roger M. Fa ye

CONCLUSIONS To provide a quantitative tool to predict the objective noise impact This tool adopts the fuzzy dual formalism To perform analysis and predictions to identify critical locations with respect to noise AUN2014 Paris 15-16 avril 2014 17

AUN 2014 ha Thank You for your attention You for your attention AUN2014 Paris 15-16 avril 2014 18