Éditeur(s) : HAL CCSD
Résumé : This work is devoted to the theoritical research and to the numerical calculus of weak solutions (in the sens of generalized functions) for the non linear transport equation((∂u)/(∂t))(x,y,t)+a(x,y,t)((∂f(u))/(∂x))(x,y,t)+b(x,y,t)((∂g(u))/(∂y))(x,y,t)=0 pour t>0with the initial condition u(x,y,0)=u₀(x,y) where the functions {(x,y,t)→a(x,y,t)} and {(x,y,t)→b(x,y,t)} belong to L^{∞}(R²×R⁺) (but can be discontinuous), the functions f and g are smooth and monotonous, the function {(x,y)→u₀(x,y)} belongs to L^{∞}(R²). We recall the necessary notions on nonlinear generalized functions for introducing their tensorial product. The main results (to determine the weak solutions) are sufficient conditions so that, when a sum of généralized functions (like Heaviside or Dirac products) is associated with zero, each terms of the sum is equal to zero. Thanks to these theoretical results, we can solve the Riemann problem with the help of a solver written like tensorial product of Heaviside functions (or like a sum of tensorial product of Heaviside functions) in order to obtain the weak solutions. These weak solutions allow to develop two dimensional numerical Godunov type schemes. Then, numerical tests are performed which give a comparison between the results obtained by these 2D schemes and the ones of the splitting method. These tests prove that the 2D numerical schemes are as reliable as the ones obtained by splitting. They are also more simple in their expression. Moreover, a more detailed comparative study of the two types of numerical schemes show that the 2D schemes are far less expensive in the linear case as well as in the non linear case. They are stable for the L^{∞} norm, unlike the splitting schemes. At least some perspectives as well as an existence theorem of a strong solution "almost eveywhere" for linear hyberbolic systems are studied.
Nous nous intéressons à la recherche et au calcul numérique de solutions faibles (au sens des fonctions généralisées) de l'équation de transport non linéaire((∂u)/(∂t))(x,y,t)+a(x,y,t)((∂f(u))/(∂x))(x,y,t)+b(x,y,t)((∂g(u))/(∂y))(x,y,t)=0 pour t>0complétée de la condition initiale : u(x,y,0)=u₀(x,y) où les fonctions {(x,y,t)→a(x,y,t)} et {(x,y,t)→b(x,y,t)} appartiennent à L^{∞}(R²×R⁺) (mais peuvent être discontinues), les fonctions f et g sont lisses et monotones, la fonction {(x,y)→u₀(x,y)} appartient à L^{∞}(R²). Des rappels sur les fonctions généralisées nous permettent d'introduire leur produit tensoriel. Un des résultats clés (pour déterminer ultérieurement les solutions faibles cherchées) donne des conditions suffisantes pour que, lorsqu'une somme de fonctions généralisées (de type produit d'Heaviside ou de Dirac) est associée à 0, chacun des termes de la somme est nul. Grâce à ces résultats théoriques, on résout le problème de Riemann 2D à l'aide d'un solveur s'écrivant comme produit tensoriel de fonctions type Heaviside (ou comme somme de produit tensoriel de fonctions type Heaviside) afin d'obtenir les solutions faibles. Ces solutions faibles permettent la construction des schémas numériques de type Godunov 2D. Nous les validons par des test numériques comparant les résultats obtenus par ces schémas 2D et ceux de la méthode du splitting. Ces tests montrent que les schémas numériques 2D sont aussi fiables que ceux par splitting, alors qu'ils sont plus simples dans leur écriture. Une étude comparative plus complète entre les deux types de schémas numériques montre de plus que les schémas 2D sont nettement moins coûteux à la fois dans les cas linéaire et non linéaire et qu'ils sont stables pour la norme L^{∞}, contrairement aux schémas par splitting. Enfin des perspectives ainsi qu'un théoréme d'existence de solutions fortes "presque partout" pour des systèmes hyperboliques linéaires sont abordés.
https://hal.archives-ouvertes.fr/tel-01487366

Droits : info:eu-repo/semantics/OpenAccess
tel-01487366
https://hal.archives-ouvertes.fr/tel-01487366
https://hal.archives-ouvertes.fr/tel-01487366/document
https://hal.archives-ouvertes.fr/tel-01487366/file/th%C3%A8se_olivier_jouannelle_HAL.pdf

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
Deep-seated gravitational spreading (DSGS) affects the slopes of formerly glaciated mountain ridges. On Mars, DSGS has played a key role in shaping the landforms of the giant Valles Marineris troughs. Though less spectacular, DSGS is common in terrestrial orogens, where understanding its mechanics is critical in the light of the ongoing climate change because it is a potential source of catastrophic landslides in deglaciated valleys. We conducted parametric numerical studies in order to identify important factors responsible for DSGS initiation. DSGS models are computed using an elastoviscoplastic finite element code. Using ADELI's software, we reproduce topographic ridge spreading under the effect of valley unloading. Two types of spreading topographic ridges are investigated, homogeneous or with horizontal rheological layering. We find that gravitational instabilities are enhanced by high slopes, which increase gravitational stress, and low friction and cohesion, which decrease yield stress. In the unlayered ridge, instability is triggered by glacial unloading with plastic strain concentration inside the ridge and at the base of the high slopes. Vertical fractures develop in the upper part of the slope, potentially leading to fault scarps. Ridge homogeneity promotes a deformation mode controlled by uphill-facing normal faulting and basal bulging. In the second case, the ridge encompasses horizontal geological discontinuities that induce rock mass anisotropy. Discontinuity located at the base of the slope accumulates plastic strain, leading to the formation of a sliding plane evolving into a landslide. The presence of a weak layer at ridge base therefore promotes another slope deformation mode ending up with catastrophic failure. Mechanical conditions and slope height being equal, these conclusions can probably be extrapolated to Earth. Compared with Mars, DSGS on Earth is inhibited because terrestrial topographic gradients are lower than in Valles Marineris, an effect counterbalanced by increased gravitational stress, where the intensity of deformation is enhanced because of the Earth gravity potential.
ISSN: 0169-555X

hal-01420007
https://hal.archives-ouvertes.fr/hal-01420007
DOI : 10.1016/j.geomorph.2016.06.011

Éditeur(s) : Université des Antilles Études caribéennes
Résumé : L’histoire du tourisme international des cinquante dernières années peut être décomposée en trois temps : 1/ les décennies de 1950 à 1980, caractérisées par une démocratisation progressive du tourisme soutenue par une croissance économique inégalée ; 2/ la dernière décennie du vingtième siècle, celle d’une euphorie touristique qui voit les frontières s’ouvrir. La fin d’un monde bipolaire annonce bien des espoirs naïfs. Le champ des territoires ouverts au tourisme ne cesse de s’élargir. 3/ La fin du siècle annonce l’âge de maturité du tourisme. Après l’euphorie, les illusions et les désillusions d’un espace touristique mondial sans frontières, les faits, souvent dramatiques ont fait prendre conscience aux touristes la complexité d’un monde où les guerres n’ont jamais cessé. L’espace touristique mondial est articulé autour de trois bassins régionaux : plus de 75 % des flux touristiques internationaux, impulsés par les riches métropoles européennes, nord-américaines et asiatiques, se cantonnent à dans leur espace régional d’origine. La distribution des flux touristiques dessine une organisation en trois bassins distincts : par ordre d’importance, 1/ le bassin euro-méditerranéen, centré sur la Mer méditerranée, 2/ le bassin Asie orientale-Pacifique, autour des rivages de la mer de Chine, 3/ le bassin Amérique du Nord — Caraïbes, organisé autour de la « Méditerranée américaine ». Les discontinuités s’affirment entre des périphéries mal stabilisées, des prolongements très sélectifs, des marges oubliées ou exclues. Les climats d’insécurité qui touchent certains territoires touristiques visent à fragiliser des périphéries plus sensibles et contraignent l’espace touristique international à se rétracter.
The history of international tourism of the last fifty years can be divided into three stages: 1 / decades from 1950 to 1980, characterized by a progressive democratization of tourism supported by an unparalleled economic growth, 2 / the last decade of the twentieth century, euphoria of a tourist who sees the borders open. The end of a bipolar world announcement many hopes naive. The scope of territories open to tourism continues to widen. 3 / The end of the century announces the age of maturity of tourism. After the euphoria, illusions and disillusions of a space tourist world without borders, facts, often dramatic raised awareness tourists to the complexity of a world where wars have never ceased. The global space tourism is articulated around three regional basins: more than 75% of international tourist flows, driven by the rich European cities, North American and Asian, are confined to their regional area of origin. The distribution of tourist flows draws an organization into three distinct basins: in order of importance, 1 / Euro-Mediterranean basin, focusing on the Mediterranean Sea, 2 / Basin East Asia-Pacific, around the shores of the Sea of China, 3 / basin North America-Caribbean, organized around the "American Mediterranean." Space discontinuities increase between peripheries unstable, extensions selective and margins forgotten or excluded. The climate of insecurity that affect certain touristic territories aimed at weakening the outskirts most sensitive and oblige the international space tourist to retract.

Droits : info:eu-repo/semantics/openAccess
urn:doi:10.4000/etudescaribeennes.882
http://journals.openedition.org/etudescaribeennes/882

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
The contourite depositional system (CDS) along the southwestern Iberian Margin (SIM), within the Gulf of Cadiz and offshore areas of western Portugal bear the unmistakable signal of Mediterranean Outflow Water (MOW) exiting the Strait of Gibraltar. This locality records key information concerning the effects of tectonic activity on margin sedimentation, the effects of MOW dynamics on Atlantic circulation, and how these factors may have influenced global climate. Over the last four decades, numerous studies have been conducted on the late Miocene, Pliocene and Quaternary sedimentary stacking pattern of Neogene basins along the SIM for both academic and resources exploration purposes. However, understanding of the region rests primarily on basic seismic stratigraphy calibrated with limited data from only a few exploration wells. The Integrated Ocean Drilling Program (IODP) Expedition 339 recently drilled five sites in the Gulf of Cadiz and two sites on the western Iberian margin. The integration of core and borehole data with other geophysical databases leads us to propose a new stratigraphic framework. Interpretation of IODP Exp. 339 data along with that from industry sources and onshore outcrop analysis helps refine our understanding of the SIM's sedimentary evolution.We identify significant changes in sedimentation style and dominant sedimentary processes, coupled with widespread depositional hiatuses along the SIM within the Cadiz, Sanlucar, Doñana, Algarve and Alentejo basins. Following the 4.5 Ma cessation of a previous phase of tectonic activity related to the Miocene–Pliocene boundary, tectonics continued to influence margin development, downslope sediment transport and CDS evolution. Sedimentary features indicate tectonic pulses of about 0.8–0.9 Ma duration with a pronounced overprint of ~ 2–2.5 Ma cycles. These more protracted cycles relate to the westward rollback of subducted lithosphere at the convergent Africa-Eurasia plate boundary as its previous NW–SE compressional regime shifted to a WNW–ESE direction. Two major compressional events affecting to the Neogene basins at 3.2–3 Ma and 2–2.3 Ma help constrain the three main stages of CDS evolution. The stages include: 1) the initial-drift stage (5.33–3.2 Ma) with a weak MOW, 2) a transitional-drift stage (3.2–2 Ma) and 3) a growth-drift stage (2 Ma-present time) with enhanced MOW circulation into the Atlantic and associated contourite development due to greater bottom-current velocity. Two minor Pleistocene discontinuities at 0.7–0.9 Ma and 0.3–0.6 Ma record the effects of renewed tectonic activity on basin evolution, appearing most prominently in the Doñana basin. Several discontinuities bounding major and minor units appear on seismic profiles. Quaternary records offer the clearest example of this, with major units of about 0.8–0.9 Ma and sub-units of 0.4–0.5 Ma. Sedimentation is controlled by a combination of tectonics, sediment supply, sea-level and climate. This research identifies time scales of tectonic controls on deep-marine sedimentation, specifically over periods of 2.5–> 0.4 Ma. Shorter-term climatic (orbital) mechanisms control sedimentation at time scales of ≤ 0.4 Ma. The role of bottom water circulation and associated processes in shaping the seafloor and controlling the sedimentary stacking pattern on continental margins has to be seriously reconsidered in future multidisciplinary studies. This is not only because of the common occurrence of sandy contourite deposits in deep water setting and their economic interest for hydrocarbon exploration, but principally because they archive the heartbeat of the interior Earth and therefore have important sedimentary and paleoceanographic implications.
ISSN: 0025-3227

hal-01356166
https://hal.archives-ouvertes.fr/hal-01356166
DOI : 10.1016/j.margeo.2015.09.013

Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
Propagation energies for five examples of deformation bands in porous sandstones from four field sites in Nevada, Utah, and France were calculated by using the J-integral approach. Pure compaction bands that accommodate primarily closing displacements from the Valley of Fire (Nevada) site have a closing-mode band propagation energy of J I = 5.5 ± 1.6 kJ/m2. Shear-enhanced compaction bands having subequal amounts of normal (closing) and shear strains across them from the same site have propagation energies of J I = 6.11 ± 1.8 kJ/m2 and J II = 1.52 ± 0.5 kJ/m2 for closing and shearing modes respectively. Closing- and shearing-mode band propagation energies for shear-enhanced compaction bands from the Buckskin Gulch (Utah) site, 5.63 ± 1.7 and 1.91 ± 0.57 kJ/m2 and the Uchaux (France) site, 11.0 ± 3.3 and 2.35 ± 0.7 kJ/m2 respectively are comparable to the values for similar structures from the Valley of Fire site. Cataclastic deformation bands at the Orange (France) site accommodate significantly larger values of shear offset than do shear-enhanced compaction bands, with a ratio of shear to closing offset that exceeds 7. The calculated closing- and shearing-mode propagation energies for these shear bands, 17.8 ± 5.4 and 3.3 ± 1.0 kJ/m2 respectively are comparable to those for pure or shear-enhanced compaction bands deformed at approximately the same depth of burial. Strain softening of cataclastic compactional shear bands implies unstable shearing, whereas stable and perhaps strain-hardening shearing may be inferred for shear-enhanced compaction bands. Displacement-length scaling relations for shear-enhanced compaction bands of the form D∝L are consistent with the results and with suggestions of band thickening during growth obtained from bifurcation analyses and with field observations of shear zones in porous host rock.
ISSN: 0376-9429

hal-00750341
https://hal.archives-ouvertes.fr/hal-00750341
DOI : 10.1007/s10704-012-9730-2

Éditeur(s) : HAL CCSD Society for Industrial and Applied Mathematics
Résumé : International audience
In this paper, we developed a theoretical study for nonconservative sytems in one dimension in order to construct numerical schemes for solving the Riemann problem. The nonconservative form of our model system required the use of a well-adapted theory in order to give us a sense of our problem. We chose a framework of generalized functions for solving a scalar hyperbolic equation with a discontinuous coefficient $sigma_t +usigma_x approx 0$, where u is the velocity solution of a Burgers's equation. After an explicit solution of the Riemann problem, we derived Godunov split schemes for computing an approximate solution of the Cauchy problem. We applied our study to a system modeling elasticity and a system modeling gas dynamics. Some stability properties of a scheme and its convergence to a generalized solution are proved for the first model. Numerical experiments confirmed this convergence result. For the second model, calculations of flows containing weak-to-moderate shocks showed that conservation errors are reduced when the mesh is refined but were not entirely eliminated.
ISSN: 0036-1429

hal-00770266
https://hal.univ-antilles.fr/hal-00770266
DOI : 10.1137/S0036142900378637

Éditeur(s) : HAL CCSD Université des Antilles
Résumé : International audience
The history of international tourism of the last fifty years can be divided into three stages: 1 / decades from 1950 to 1980, characterized by a progressive democratization of tourism supported by an unparalleled economic growth, 2 / the last decade of the twentieth century, euphoria of a tourist who sees the borders open. The end of a bipolar world announcement many hopes naive. The scope of territories open to tourism continues to widen. 3 / The end of the century announces the age of maturity of tourism. After the euphoria, illusions and disillusions of a space tourist world without borders, facts, often dramatic raised awareness tourists to the complexity of a world where wars have never ceased. The global space tourism is articulated around three regional basins: more than 75% of international tourist flows, driven by the rich European cities, North American and Asian, are confined to their regional area of origin. The distribution of tourist flows draws an organization into three distinct basins: in order of importance, 1 / Euro-Mediterranean basin, focusing on the Mediterranean Sea, 2 / Basin East Asia-Pacific, around the shores of the Sea of China, 3 / basin North America-Caribbean, organized around the "American Mediterranean." Space discontinuities increase between peripheries unstable, extensions selective and margins forgotten or excluded. The climate of insecurity that affect certain touristic territories aimed at weakening the outskirts most sensitive and oblige the international space tourist to retract.
L’histoire du tourisme international des cinquante dernières années peut être décomposée en trois temps : 1/ les décennies de 1950 à 1980, caractérisées par une démocratisation progressive du tourisme soutenue par une croissance économique inégalée ; 2/ la dernière décennie du vingtième siècle, celle d’une euphorie touristique qui voit les frontières s’ouvrir. La fin d’un monde bipolaire annonce bien des espoirs naïfs. Le champ des territoires ouverts au tourisme ne cesse de s’élargir. 3/ La fin du siècle annonce l’âge de maturité du tourisme. Après l’euphorie, les illusions et les désillusions d’un espace touristique mondial sans frontières, les faits, souvent dramatiques ont fait prendre conscience aux touristes la complexité d’un monde où les guerres n’ont jamais cessé. L’espace touristique mondial est articulé autour de trois bassins régionaux : plus de 75 % des flux touristiques internationaux, impulsés par les riches métropoles européennes, nord-américaines et asiatiques, se cantonnent à dans leur espace régional d’origine. La distribution des flux touristiques dessine une organisation en trois bassins distincts : par ordre d’importance, 1/ le bassin euro-méditerranéen, centré sur la Mer méditerranée, 2/ le bassin Asie orientale-Pacifique, autour des rivages de la mer de Chine, 3/ le bassin Amérique du Nord — Caraïbes, organisé autour de la « Méditerranée américaine ». Les discontinuités s’affirment entre des périphéries mal stabilisées, des prolongements très sélectifs, des marges oubliées ou exclues. Les climats d’insécurité qui touchent certains territoires touristiques visent à fragiliser des périphéries plus sensibles et contraignent l’espace touristique international à se rétracter.
ISSN: 1779-0980

hal-01624746
https://hal.archives-ouvertes.fr/hal-01624746
DOI : 10.4000/etudescaribeennes.882

Éditeur(s) : HAL CCSD Elsevier
Résumé : We present comparative field studies in folded areas (Southern France. Moroccan Western Atlas and Abruzzo, Italy) giving new insights into fracture distribution within folded rocks of the shallow brittle crust. We show that the curvature in folds formed in brittle mechanical units is usually accommodated by multiple "dip-domain boundaries" (appearing as curvature discontinuities at fold scale) corresponding to relatively narrow and dense fracture zones, striking parallel or slightly oblique to the fold axis. They separate "dip-domains" where curvature is absent or moderate. It is shown that the dip-domain boundaries (which are obvious in the case of kink folds or box-fold anticlines) are currently present as multiple subtle hinges even when the curvature appears continuous at first sight. The nature of dip-domain boundaries is studied, they often cut through the whole thickness of the mechanical units Their internal structure varies, and a non-exhaustive typology is proposed For each type, an interpretative kinematic scenario shows how the dip-domain boundaries could initiate and develop. We suggest two kinds of origins (1) they could correspond to the reactivation of inherited, along-strike fracture zones (opening-mode fracture concentrations such as big joints, fracture corridors. Inherited faults, etc), (2) they could be created as mechanical instabilities during the fold formation (syn-folding origin), in particular through small reverse faults. In both cases, early zones of weakness localize the dip-domain boundaries, and control the Increase in curvature in association with increasing fracture density within the boundary. Because they represent well-defined vertically and axially persistent sub-seismic fracture zones generally limited to the thickness of the folded unit, dip-domain boundaries could enhance the axial permeability of folded and fractured reservoirs.
ISSN: 0191-8141

hal-00512651
https://hal.archives-ouvertes.fr/hal-00512651
DOI : 10.1016/j.jsg.2010.03.002