Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
In this paper, we describe an outcrop to characterize the effect of fracture spacing and type on larger scale effective elasticity, which is measured for the first time in-situ with a Schmidt hammer. The outcrop is dominated by lime mudstones and belongs to the deformation zone of the St Clement fault, in southern France. Our results suggest that small spacing of faults, open fractures and styolites leads to lesser effective Young's modulus, whereas small sealed fracture spacing leads to greater effective Young's modulus. These relationships are compatible with theoretical models of effective elasticity. Using Amadei and Savage (1993) approach, we define a non-linear model that relates Schmidt hammer rebound to spacing by fracture type. A hemisphere with a radius of 40 to similar to 200 cm is the rheological volume characterized by the Schmidt hammer. Results of model inversion demonstrate that variations of Schmidt hammer rebound over the outcrop can be used to estimate fracture type and stiffness. Stiffness of sealed fractures is 2-3 orders of magnitude greater than the stiffness of faults, stylolites and open fractures. This result is consistent with an increase of the rate of interseismic stress build-up of major faults with sealing of fractures in their damage zone.
ISSN: 0191-8141

hal-00669954
https://hal.archives-ouvertes.fr/hal-00669954
DOI : 10.1016/j.jsg.2011.09.009

Éditeur(s) : Londres : T. Woolmer
Siècle(s) traité(s) : 19
Provenance : Archives départementales de Guadeloupe
Permalien : http://www.manioc.org/patrimon/ADG18190
ADG18190

Éditeur(s) : [S.l.] : L.G. Stahl
Siècle(s) traité(s) : 20
Droits : Domaine public
Provenance : Archives départementales de Guadeloupe
Permalien : http://www.manioc.org/patrimon/ADG18107
ADG18107

Éditeur(s) : HAL CCSD Elsevier
Résumé : To contribute to the understanding of how opening-mode fractures (joints) form and open or close at depth in layered rocks, we present a 2D numerical study aiming to determine whether tensile stress can develop in pre-fractured elastic multilayers submitted to biaxial compressive strain conditions. First, we investigate the role of the elastic and geometrical properties of the layers on the development of tensile stress in models with five bonded layers and containing one open fracture in the central layer. Our results indicate that, in absence of elastic contrast (in Young's modulus) between the layers, no tensile stress develops in the models. However, when the fractured layer is stiffer than the two adjacent layers directly above and below, a lobe of horizontal tensile stress develops centered on the pre-existing fracture. The creation of this tensile stress is contingent upon the partial closing of the fracture. The levels of tensile stress and the thickness of the lobe of tensile stress increase logarithmically with an increase in the elastic contrast and are systematically larger for a larger Soft/Stiff ratio (ratio of the total thickness of the soft layers with the total thickness of the stiff layers). Second, we investigate the role of fracture interaction in the development of tensile stress in models containing a pair of open fractures. We observe that the levels of tensile stress in the region between the fractures are systematically higher than those observed in identical models containing a single fracture. This increase in tensile stress is very large for small elastic contrasts between the layers but diminishes when the elastic contrast increases. Furthermore, the spacing between the pre-existing fractures plays an important role in the stress distribution in the region between them. When the fracture spacing is equal to or lower than 1.15 times the height of the fractured layer for the experimental conditions chosen, the lobes of tensile stress centered on the fractures coalesce. This results in the formation of vast areas of tensile stress in models under remote compressive loading conditions. Such tensile areas are likely to allow the initiation and propagation of subsequent opening-mode fractures. The results obtained provide new insights into the formation of joints in layered rocks in compressive environments, with important consequences on fluid flow.
ISSN: 0040-1951

hal-00407576
https://hal.archives-ouvertes.fr/hal-00407576
DOI : 10.1016/j.tecto.2006.12.003

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
Both oedometric and plane-strain tests were performed with parallelepipedic samples made of synthetic granular, cohesive, frictional and dilatant rock analogue material GRAM2. For the first time parallel sets of fractures that have all the characteristics of natural joints were reproduced in the laboratory. The fractures are regularly spaced, normal to σ3, and have plumose morphology very similar to that of natural joints. These fractures can form at tensile stress σ3 much smaller in magnitude than the tensile strength of material and even at slightly compressive σ3. When mean stress σ exceeds a certain value, the fractures become oblique to σ1 (the obliquity increases with σ), forming networks of conjugate shear bands/fractures. These results of plane-strain experiments are in good agreement with those of better controlled conventional axisymmetric tests on a similar material in Chemenda et al. (2011b) and are closer to real geological situations. Both types of experiments are complementary. Their results lead to the conclusion that at least certain categories of natural fractures (including joints, and conjugate shear fractures/bands) were initiated as deformation localization bands. The band orientation is defined by the constitutive properties/parameters (notably the dilatancy factor) that are sensitive to σ.
ISSN: 0040-1951

hal-00795555
https://hal.archives-ouvertes.fr/hal-00795555
DOI : 10.1016/j.tecto.2011.11.021

Éditeur(s) : HAL CCSD
Résumé : Ocean Drilling Program Hole 1256D reached for the first time the transition zone between the sheeted dike complex and the uppermost gabbros. The recovered crustal section offers a unique opportunity to study the deepest part of the hydrothermal system in present-day oceanic crust. We present a structural analysis of electrical borehole wall images. We identified, and measured the orientations of four categories of structures: major faults, minor fractures, possibly hydrothermal veins, and dikes. All structures tend to strike parallel to the paleo-ridge axis. Three major fault zones (meter thick) and dikes are steeply dipping (~ 75° on average) outward the ridge. Centimeter-thick moderately conductive planar features are interpreted as hydrothermal veins, are organized in arrays of consistent spacing, thickness, and orientation, and are dipping about 15-20° toward the ridge. This structural pattern is interpreted as an on-axis paleohydrothermal circulation system, with vertical, dike-parallel fractures, and sub-horizontal high-temperature hydrothermal veins at the base of the sheeted dike, which was subsequently rotated ~ 15° westward around a ridge-parallel, sub-horizontal axis. This rotation can be caused by upper-crustal block rotation along a listric normal fault, and/or subsidence at the ridge axis.
Ofioliti

hal-00757592
https://hal.archives-ouvertes.fr/hal-00757592
DOI : 10.4454/ofioliti.v37i1.402

Éditeur(s) : HAL CCSD Oxford University Press (OUP)
Résumé : International audience
Tilt fluctuations can potentially reflect the response of hydrosystems to important rainfall. In this context, long baseline tiltmeters have been installed in an underground tunnel penetrating the Fontaine de Vaucluse karst to study the medium deformation related to solicitations exerted by water infiltrating the hydrosystem. The instruments monitor the tilt as well as its spatial variation. Northward tilts reaching a 1 μrad amplitude are observed consecutively to rainfalls. The tilt amplitude is highly correlated with the Fontaine de Vaucluse outlet flow fluctuations. The measured tilt signal is also relatively homogeneous over a 150 m length. Different types of structure likely to produce such observations are tested in order to identify their location with respect to the tiltmeters, their dimension as well as the amount of water level variation in the structure. Following rainfalls, the infiltration of water modifies the pore pressure, inducing a medium deformation. The hypothesis of an homogeneous surface loading on the Vaucluse plateau is first refuted since the related tilt is much lower than the one measured. The water supplied by rainfalls has to accumulate in discontinuities in order to generate a higher tilt. So, the deformation related to a pressure exerted on a fracture filled by water is assessed. A first study reveals the interest of the tilt homogeneity information that constrains strongly the fracture properties. Thus, the fracture must be located at a distance more than a few hundreds metres from the tiltmeters in order to produce a tilt homogeneous in space. If the fracture is initially dry, it must also be filled on a height higher than 150 m consecutive to a rainfall in order to generate a tilt amplitude in the same magnitude as the one measured. Then, we explore the influence of water level variations on the tilt produced by a fracture located at the interface between the saturated and unsaturated zones, which are thereby permanently flooded. Since several parameters of that model satisfactorily explain the field observations, we discuss how simultaneous geodetical observations could provide complementary information that would further constrain the geometry of the structure at the origin of the medium deformation.
ISSN: 0956-540X

insu-01408482
https://hal-insu.archives-ouvertes.fr/insu-01408482
https://hal-insu.archives-ouvertes.fr/insu-01408482/document
https://hal-insu.archives-ouvertes.fr/insu-01408482/file/Lesparre-2017.pdf
DOI : 10.1093/gji/ggw446

Éditeur(s) : HAL CCSD Springer Verlag (Germany) Springer Verlag
Résumé : Production rates in horizontal shale gas wells display declines that are controlled by the low permeability and the intrinsic heterogeneity of the shale matrix. We present an original multi-continuum approach that yields a physical model able to reproduce the complexity of the decreasing gas rates. The model describes the dynamics of gas rate as function of the physical reservoir parameters and geometry, while the shale matrix heterogeneity is accounted for by a stochastic description of transmissivity field. From the 3D (Dimensional) problem setting, including the heterogeneous shale matrix, the fractures generated by the hydrofracking operations, as well as the production well characteristics, we establish an effective upscaled 1D model for the gas pressures in fracture and matrix as well as the volumetric flux. We analyse the decline curves behaviour, and we identify the time scales that characterize the dynamics of the gas rate decline using explicit analytical Laplace space solutions of the upscaled process model. Asymptotically, the flux curves decrease exponentially, while in an intermediate regime we find a power-law behaviour, in which the flux scales with a power law in time as (t^{-beta }), where (beta ) reflects the medium heterogeneity. We use this solution to fit a set of real data displaying distinctly different decline trends and study the sensitivity of the model to the reservoir parameters in order to identify their respective controls at the different stages of the decline curve dynamics. Results indicate that the initial value of the gas rate is determined by the transmissivity of the fractures and the initial pressure of the gas in the shale matrix. The latter causes mainly a shift in the entire decline curve. The early time of decline curve shape is primarily controlled by the fracture properties (compressibility and transmissivity). During the main part of the economically valuable production times, i.e. before the production rate drops exponentially, the decline curve is strongly controlled by the properties of the shale rocks including their heterogeneity, which is modelled by two parameters describing the non-Fickian pressure diffusion effects in a stochastic framework.
ISSN: 0169-3913

hal-01217247
https://hal.archives-ouvertes.fr/hal-01217247
DOI : 10.1007/s11242-015-0504-y

Éditeur(s) : HAL CCSD
Résumé : This thesis has been conducted on a fractured crystalline basement located in Ploemeur (South of Brittany, France). The detailed study of this basement requires a good understanding of their internal structures, namely their intrinsic properties, flow mode, density and fractures distribution. This work is focused on the petrophysical characterization of the granitic formations. Physical properties were determined from downhole geophysical measurements and images, and petrophysical measurements with thin sections made for each mini-core in the laboratory. Fresh-altered schist and fresh-altered granite separated by a normal angle fault are the main lithology of the Ploemeur crystalline basement. The results showed that the petrophysical properties were function of both porosity variation and degree of alteration and that the pore-space topology was found to be porositydependent. This thesis introduces a new formula between electrical resistivity and porosity. In addition, the laboratory measurements of Ploemeur revealed that seismic wave velocity was a function not only of porosity, but also of the predominant pore type. In general, the pore aspect ratio inverted from velocity measurements were classified roughly into crack shape. In the Ploemeur crystalline basement, the downhole geophysical measurements and images were used to measure changes in physical and chemical properties in the borehole fluid and the bedrock surrounding the boreholes. The effective integration of different geophysical methods, hydrogeological tests and lithological description was the best way to characterize the fractures in the crystalline basement, and is critical for a suitable estimation of fluid circulation.
Le socle cristallin fracturé, situé à Ploemeur (Bretagne sud, France) est l'objet de ce travail de thèse. L'étude détaillée du socle nécessite une bonne compréhension de la structure interne, à savoir les propriétés intrinsèques, le mode d'écoulement, la densité et la distribution des fractures. Ce travail de thèse est consacré à la caractérisation pétrophysique des formations granitiques. Les propriétés physiques ont été déterminées à partir de l'interprétation des données de mesures de géophysique en forage, des images de paroi du puits et des mesures pétrophysiques réalisées sur carottes en laboratoire. Afin de replacer les mesures dans leur contexte lithologique, une lame mince a été analysée pour chaque mini-carotte. Les formations lithologiques rencontrées dans le socle cristallin de Ploemeur sont des schistes et granites sains et altérés, ces deux lithologies étant séparées par une zone de faille. Les résultats ont montré que les propriétés pétrophysiques des roches étaient fonction à la fois de la variation de la porosité et du degré d'altération des roches et que la topologie de l'espace poreux était fortement dépendante de la porosité. Cette thèse introduit une nouvelle formule entre la résistivité électrique et la porosité. De plus, les mesures en laboratoire sur les échantillons de Ploemeur révèlent que les vitesses sismiques ne sont pas seulement fonction de la quantité de porosité, mais aussi fonction de facteur de forme. Ce dernier a été calculé sur les échantillons du socle de Ploemeur à partir des vitesses acoustiques. Les résultats ont montré que la porosité est de forme fissurale. L'intégration des données issues des images optiques et acoustiques, des mesures de géophysique en forage, et de la description des carottes a permis d'étudier de façon détaillée la géologie et l'hydrodynamique du socle de Ploemeur. L'intégration effective de ces différentes méthodes avec les tests hydrogéologiques ressort comme la meilleure façon de caractériser les fractures et les circulations en eau dans le socle.
https://tel.archives-ouvertes.fr/tel-00444175

Droits : info:eu-repo/semantics/OpenAccess
tel-00444175
https://tel.archives-ouvertes.fr/tel-00444175
https://tel.archives-ouvertes.fr/tel-00444175/document
https://tel.archives-ouvertes.fr/tel-00444175/file/thesebelghoul.pdf

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
One of the main difficulties encountered when characterizing the hydrodynamic properties of a fractured aquifer is to identify the preferential flow paths within it. Different methods may be applied to determine the variability of the permeability at the borehole scale and to image the structure of the main flow zones between boreholes. In this paper, we compare the information obtained from different measurement techniques performed in a set of three 100 m depth wells (well-to-well spacing: 5­10 m) in a fractured crystalline rock setting. Geophysical logging and borehole-wall imaging are used to identify open and closed fractures intersecting the boreholes and their orientation. The comparison with flowmeter and single packer tests shows that few of the fractures interpreted as open from geophysical logs are significantly transmissive. Cross-borehole connectivity is first investigated from single packer tests with pressure monitoring in adjacent boreholes. To determine fracture zone connectivity, we propose a methodology simply based on the variation with packer depth of the ratio of the drawdown in the observation well and the drawdown in the pumping well. The results are compared to the analysis of cross-borehole flowmeter tests. We show that both methods provide consistent results with a similar level of information on connectivity.
ISSN: 0022-1694

insu-00221380
https://hal-insu.archives-ouvertes.fr/insu-00221380
DOI : 10.1016/j.jhydrol.2007.07.007

Date de création : 1870-01-01

Éditeur(s) : London : Bell & Daldy
Siècle(s) traité(s) : 19
Droits : Domaine public
Provenance : Collectivité territoriale de Guyane. Bibliothèque Alexandre-Franconie
Permalien : http://www.manioc.org/patrimon/FRA11002
FRA11002

Date de création : 1869-01-01

Éditeur(s) : London : Bell & Daldy
Siècle(s) traité(s) : 19
Droits : Domaine public
Provenance : Collectivité territoriale de Guyane. Bibliothèque Alexandre-Franconie
Permalien : http://www.manioc.org/patrimon/FRA11001
FRA11001

Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
Random walk (RW) or Continuous Time Random Walk (CTRW) are recurring Monte Carlo methods used to model convective and diffusive transport in complex heterogeneous media. Many applications can be found, including fluid mechanic, hydrology, and chemical reactors modeling. These methods are easy to implement, very versatile and flexible enough to become appealing for many applications because they generally overlook of deeply simplify the building of explicit complex meshes required by deterministic methods. RW and CTRW provide a good physical understanding of the interactions between the space scales of het-erogeneities and the transport phenomena under consideration. In addition, they can result in efficient up-scaling methods, especially in context of flow and transport in fractured media. In the present study, we review the applications of RW or CTRW for several situations coping with various spatial scales, and different insights into up-scaling applications. RW and CTRW advantages and downsides are also discussed, thus providing a few avenues for further works and applications.
ISSN: 0169-3913

hal-01449131
https://hal.archives-ouvertes.fr/hal-01449131
https://hal.archives-ouvertes.fr/hal-01449131/document
https://hal.archives-ouvertes.fr/hal-01449131/file/0025972-02.pdf
DOI : 10.1007/s11242-016-0693-z

Éditeur(s) : Elsevier Sci Ltd
Résumé : Several marine geophysical data and piston-coring surveys acquired during the last decade allow one to better understand the close dynamic interactions between the sand-rich Orinoco turbidite system and the compressional structures of the Barbados prism. These interactions have been active since Eocene time as illustrated by the study of outcrops onshore Barbados Island. Because of strong morphologic and tectonic control in the east-Caribbean active margin, the present-day Orinoco turbiditic pattern system does not exhibit a classic fan geometry. The sea-floor geometry between the slope of the front of the Barbados prism and the slope of the South-American margin induces the convergence of the turbidite channels toward the abyssal plain, at the front of the accretionary prism. Also, whereas in most passive margins the turbidite systems are organized upstream to downstream as canyon, channel-levee and lobes, here, due to the tectonic control, the sedimentary system is organized upstream to downstream as channel-levee, canyons and channelized lobes. Indeed, at the edge of the Orinoco platform, the system has multiple sources with several distributaries and downstream the channel courses are complex with frequent convergences or divergences that are emphasized by the effects of the undulating seafloor tectonic morphologies associated with active thrust tectonics and mud volcanism. On top of the accretionary prism, turbidite sediments are filling transported piggy-back basins whose timing of sedimentation vs. deformation is complex. While erosion processes are almost absent on the highly subsiding Orinoco platform and in the upper part of the turbidite system, they develop mostly between 2000 and 4000 m of water depth, above the compressional structures of the Barbados prism (canyons up to 3 km wide and 300 m deep). In the abyssal plain, the main turbiditic channel develops toward the east and connects with the Vidal mid-Atlantic channel. The sediments transported in this channel are filling several elongated basins linked with fracture zones (notably the Barracuda Basin), and finally end their course in the Puerto-Rico trench, the deepest morphologic depression of the region. Piston-cores have demonstrated that turbidite sediments above the accretionary prism and in the abyssal plain are mostly coarse sandy deposits covered by recent pelagic planktonic-rich sediments, which corresponds to slower sand deposition during the post-glacial sea level rise. Numerical stratigraphic modelling suggests that during the last glacial event, the main depocentres were located above the tectonic prism and in the abyssal plain, at the front of the prism and that, during the Holocene eustatic rise, a large accommodation space formed on the shelf confining sedimentation mostly on the Orinoco deltaic platform and producing a starvation downstream in the turbidite system.
Marine And Petroleum Geology (0264-8172) (Elsevier Sci Ltd), 2015-06 , Vol. 64 , P. 76-103

Droits : 2015 Elsevier Ltd. All rights reserved.
http://archimer.ifremer.fr/doc/00252/36373/34913.pdf
DOI:10.1016/j.marpetgeo.2014.12.015
http://archimer.ifremer.fr/doc/00252/36373/

Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
Random walk (RW) methods are recurring Monte Carlo methods used to modelconvective and diffusive transport in complex heterogeneous media. Many applications canbe found, including fluid mechanic, hydrology and chemical reactors modeling. These methodsare easy to implement, very versatile and flexible enough to become appealing for manyapplications because they generally overlook or deeply simplify the building of explicit complexmeshes required by deterministic methods. RWprovides a good physical understandingof the interactions between the space scales of heterogeneities and the transport phenomenaunder consideration. In addition, they can result in efficient upscaling methods, especiallyin the context of flow and transport in fractured media. In the present study, we review theapplications of RW to several situations that cope with diverse spatial scales and differentinsights into upscaling problems. The advantages and downsides of RW are also discussed,thus providing a few avenues for further works and applications.
ISSN: 0169-3913

insu-01308060
https://hal-insu.archives-ouvertes.fr/insu-01308060
DOI : 10.1007/s11242-016-0693-z

Éditeur(s) : Rome : Vitale Mascardi
Résumé : "Les 5 premières parties (vol. 1 et vol. 2) ont une pagination continue. Le traité de Hernandez, à la fin du volume 2, a seul une pagination spéciale. Titre en rouge et noir, avec vignette gravée sur cuivre. Nombreuses figures sur bois dans le texte de plantes, animaux et minéraux. - Reliure veau brun, dos à 6 nerfs, 17e siècle. - Cachet de la bibliothèque de la Ville de Bordeaux. Leclerc, 1154. - Palaü y Dulcet, 113 538. - Pritzel, 4000. - Sabin, 31516"
Siècle(s) traité(s) : 17
Droits : Domaine public
Provenance : Ville de Bordeaux. Bibliothèque municipale
Permalien : http://www.manioc.org/patrimon/BBX17012
BBX17012

Éditeur(s) : Lugdun. Batavorum : apud Franciscum Hackium Amsterdam : Elzevier
Résumé : "Titre gravé sur cuivre (f. *1) suivi du faux-titre imprimé (f. *2) : "Guilielmi Pisonis, M. D. Lugduno-Batavi, de medicina Brasiliensi libri quatuor: I. De aëre, aquis, & locis. II. De morbis endemiis. III. De venenatis & antidotis. IV. De facultatibus simplicium. Et Georgii Marcgravii de Liebstad, misnici germani, historiæ rerum naturalium Brasiliæ, libri octo: quorum tres priores agunt de plantis. Quartus de piscibus. Quintus de avibus. Sextus de quadrupedibus & serpentibus. Septimus de insectis. Octavus de ipsa regione, & illius incolis. Cum appendice de Tapuyis, et Chilensibus. Joannes de Laet, Antwerpianus, in ordinem digessit & annotationes addidit, & varia ab auctore omissa supplevit & illustravit". - La 2e partie est précédée du faux-titre : "Georgii Marcgravii de Liebstad, misnici germani, historiæ rerum naturalium Brasiliæ, libri octo: quorum tres priores agunt de plantis. Quartus de piscibus. Quintus de avibus. Sextus de quadrupedibus, et serpentibus. Septimus de insectis. Octavus de ipsa regione, & illius incolis. Cum appendice de Tapuyis, et Chilensibus. Joannes de Laet, Antwerpianus, in ordinem digessit & annotationes addidit multas, & varia ab auctore omissa supplevit & illustravit". - Épître dédicatoire au comte Maurice de Nassau Edition originale. - Frontispice gravé sur cuivre par Theodor Matham. - 436 bois dans le texte, d'après Georg Marcgrave et Albert Eckhout Imprimé à Leyde par Bonaventure et Abraham Elzevier, d'après Rahir. Sig. *6, A-P4, Q2 ; -4, A-Oo4, Pp2. - Demi reliure basane, 19e siècle. - Cachet de l'Académie royale de Bordeaux. - Cachet de la bibliothèque de la Ville de Bordeaux Borba de Moraes II, 675-6. - Garrison-Morton 5303. - Nissen BBI 1553. - Nissen IVB 589. - Rahir 1077. - Sabin 63028. - Willems 1068"
Siècle(s) traité(s) : 17
Droits : Domaine public
Provenance : Ville de Bordeaux. Bibliothèque municipale
Permalien : http://www.manioc.org/patrimon/BBX17010
BBX17010

Éditeur(s) : Academia Brasileira de Ciencias
Résumé : During the Geobrésil cruise of the R. V. Jean Charcot (1973) several marine geophysical lines, including bathymetry, magnetism, continuous seismic as well as sonobuoy profiles have been run across a deep marginal plateau extending on the southeastern Brazilian margin and known as the Sao Paulo Plateau. These data indicate the presence of a thick sedimentary cover (more than 4s DTT) on the upper slope and up to 3s DTT thick on the lower slope and rise. The entire slope is highly disturbed by salt diapiric structures mostly apparent between the 2 000-3 000 bathymetriclines and comparable to the ones described in the western Mediterranean sea. The Sao Paulo scarp, bordering the deep marginal plateau to the South-West, is believed to be a discontinuous and "en échelon» structure probably related to numerous and closely spaced early fracture zones. The overal structures Of two areas - the Sao Paulo and the Angolan margin - are briefly cOmpared and Preliminary results of DSDP holes 356 and 364 suggest a similar sedimentary history, during mesozoic times, for both margins. [NOT CONTROLLED OCR]
Anais da Academia Brasileira de Ciencias (Academia Brasileira de Ciencias), 1976 , Vol. 48 , N. Supp. , P. 187-198

Droits : Academia Brasileira de Ciencias
http://archimer.ifremer.fr/doc/1976/publication-4990.pdf
http://archimer.ifremer.fr/doc/00000/4990/

Éditeur(s) : HAL CCSD European Geosciences Union
Résumé : We propose to assess the error done when temperature is considered as a conservative tracer in fluviokarst studies. As a matter of fact, heat exchanges occur between karstic Conduit System (CS) and Porous Fractured Matrix (PFM) that prevents from using this approximation without caution. The conservative tracer approximation boils down to consider the cooling of CS water by PFM flow in an open thermodynamic system where the CS is bounded by an Adiabatic Wall (AW). The resulting CS water temperature contrasts with the one obtained from more complete models (CW), which also take into account heat conduction within the CS, within the PFM, and from the CS to PFM through CS a Conductive Wall. In order to assess first orders of this error, the dimensionless equations, characteristic of CS cooling by PFM, have been solved thanks to Alternate Finite Difference Implicit methods both in AW and CW configurations. Four groups of dimensionless numbers appear in the various terms of energy and mass equations among which the Peclet and Reynolds numbers depict the large morphologic and hydrologic variability of natural karstic systems. A parametric exploration of the differences between AW and CW models has then been conducted vs. Peclet numbers (Pe numbers varying from 106 to 109, at constant CS Reynolds number) and vs. Reynolds numbers (Red varying from 103 to 107, at constant Peclet number). The error curves bound finite volumes in the Peclet–Reynolds space that converge uniformly to zero for the extreme values of these parameters. However, for Peclet and Reynolds numbers characteristic of realistic fluviokarst configurations, the errors reach finite values, that give first order information assessing the error done by considering temperatures as conservative tracers. Maximum relative errors around 10−2 (in fact 0.0092) have been found varying Pe; while it remained slightly lower than 0.7 × 10−2 varying Red. An illustrative example of the temperature conservative tracer AW approximation is presented with the data obtained from the main morphologic and hydrologic properties of the Cent–Font resurgence (Hérault, France). According to the results, the error reached at the output of the fluviokarst is 0.00613 (for Pe = 1.4993 × 108 and Red = 4.2969 × 104). When rescaled to the physical domain, this error leads to a temperature difference of 1.77 K between the CW and AW configurations.
ISSN: 1812-2108

hal-01358348
https://hal.archives-ouvertes.fr/hal-01358348
https://hal.archives-ouvertes.fr/hal-01358348/document
https://hal.archives-ouvertes.fr/hal-01358348/file/hessd-11-169-2014.pdf
DOI : 10.5194/hessd-11-169-2014

Éditeur(s) : London : J. Callow
Siècle(s) traité(s) : 19
Droits : Domaine public
Provenance : Archives départementales de Guadeloupe
Permalien : http://www.manioc.org/patrimon/ADG17111
ADG17111