Conditioning of stochastic 3-D fracture networks to hydrological and geophysical data

The geometry and connectivity of fractures exert a strong influence on the flow and transport properties of fracture networks. We present a novel approach to stochastically generate three-dimensional discrete networks of connected fractures that are conditioned to hydrological and geophysical data. A hierarchical rejection sampling algorithm is used to draw realizations from the posterior probability density function at different conditioning levels. The method is applied to a well-studied granitic formation using data acquired within two boreholes located 6 m apart. The prior models include 27 fractures with their geometry (position and orientation) bounded by information derived from single-hole ground-penetrating radar (GPR) data acquired during saline tracer tests and optical televiewer logs. Eleven cross-hole hydraulic connections between fractures in neighboring boreholes and the order in which the tracer arrives at different fractures are used for conditioning. Furthermore, the networks are conditioned to the observed relative hydraulic importance of the different hydraulic connections by numerically simulating the flow response. Among the conditioning data considered, constraints on the relative flow contributions were the most effective in determining the variability among the network realizations. Nevertheless, we find that the posterior model space is strongly determined by the imposed prior bounds. Strong prior bounds were derived from GPR measurements and helped to make the approach computationally feasible. We analyze a set of 230 posterior realizations that reproduce all data given their uncertainties assuming the same uniform transmissivity in all fractures. The posterior models provide valuable statistics on length scales and density of connected fractures, as well as their connectivity. In an additional analysis, effective transmissivity estimates of the posterior realizations indicate a strong influence of the DFN structure, in that it induces large variations of equivalent transmissivities between realizations. The transmissivity estimates agree well with previous estimates at the site based on pumping, flowmeter and temperature data.

Fracture imaging within a granitic rock aquifer using multiple-offset single-hole and cross-hole GPR reflection data

The sparsely spaced highly permeable fractures of the granitic rock aquifer at Stang-er-Brune (Brittany, France) form a well-connected fracture network of high permeability but unknown geometry. Previous work based on optical and acoustic logging together with single-hole and cross-hole flowmeter data acquired in 3 neighbouring boreholes (70-100 m deep) has identified the most important permeable fractures crossing the boreholes and their hydraulic connections. To constrain possible flow paths by estimating the geometries of known and previously unknown fractures, we have acquired, processed and interpreted multifold, single- and cross-hole GPR data using 100 and 250 MHz antennas. The GPR data processing scheme consisting of timezero corrections, scaling, bandpass filtering and F-X deconvolution, eigenvector filtering, muting, pre-stack Kirchhoff depth migration and stacking was used to differentiate fluid-filled fracture reflections from source generated noise. The final stacked and pre-stack depth-migrated GPR sections provide high-resolution images of individual fractures (dipping 30-90°) in the surroundings (2-20 m for the 100 MHz antennas; 2-12 m for the 250 MHz antennas) of each borehole in a 2D plane projection that are of superior quality to those obtained from single-offset sections. Most fractures previously identified from hydraulic testing can be correlated to reflections in the single-hole data. Several previously unknown major near vertical fractures have also been identified away from the boreholes.

Inferring transport characteristics in a fractured rock aquifer by combining single-hole ground-penetrating radar reflection monitoring and tracer test data

Investigations of solute transport in fractured rock aquifers often rely on tracer test data acquired at a limited number of observation points. Such data do not, by themselves, allow detailed assessments of the spreading of the injected tracer plume. To better understand the transport behavior in a granitic aquifer, we combine tracer test data with single-hole ground-penetrating radar (GPR) reflection monitoring data. Five successful tracer tests were performed under various experimental conditions between two boreholes 6 m apart. For each experiment, saline tracer was injected into a previously identified packed-off transmissive fracture while repeatedly acquiring single-hole GPR reflection profiles together with electrical conductivity logs in the pumping borehole. By analyzing depth-migrated GPR difference images together with tracer breakthrough curves and associated simplified flow and transport modeling, we estimate (1) the number, the connectivity, and the geometry of fractures that contribute to tracer transport, (2) the velocity and the mass of tracer that was carried along each flow path, and (3) the effective transport parameters of the identified flow paths. We find a qualitative agreement when comparing the time evolution of GPR reflectivity strengths at strategic locations in the formation with those arising from simulated transport. The discrepancies are on the same order as those between observed and simulated breakthrough curves at the outflow locations. The rather subtle and repeatable GPR signals provide useful and complementary information to tracer test data acquired at the outflow locations and may help us to characterize transport phenomena in fractured rock aquifers.

Single-hole GPR reflection imaging of solute transport in a granitic aquifer

Identifying transport pathways in fractured rock is extremely challenging as flow is often organized in a few fractures that occupy a very small portion of the rock volume. We demonstrate that saline tracer experiments combined with single-hole ground penetrating radar (GPR) reflection imaging can be used to monitor saline tracer movement within mm-aperture fractures. A dipole tracer test was performed in a granitic aquifer by injecting a saline solution in a known fracture, while repeatedly acquiring single-hole GPR sections in the pumping borehole located 6 m away. The final depth-migrated difference sections make it possible to identify consistent temporal changes over a 30 m depth interval at locations corresponding to fractures previously imaged in GPR sections acquired under natural flow and tracer-free conditions. The experiment allows determining the dominant flow paths of the injected tracer and the velocity (0.4-0.7 m/min) of the tracer front. Citation: Dorn, C., N. Linde, T. Le Borgne, O. Bour, and L. Baron (2011), Single-hole GPR reflection imaging of solute transport in a granitic aquifer, Geophys. Res. Lett., 38, L08401, doi: 10.1029/2011GL047152.

Le mouvement peut-il guérir? : histoire de l'engagement des médecins français dans l'élaboration de l'éducation physique (1741-1888)

Résumé : Cette recherche doctorale analyse l'engagement des médecins français autour de l'éducation physique entre 1741 et 1888. Basé sur un travail prosopographique d'identification des médecins qui ont participé à l'élaboration de l'éducation physique, ce travail repose sur une mise en dialogue de leurs prises de position respectives. Pour réaliser cette enquête, nous avons compulsé un large corpus de sources primaires, composé des ouvrages consacrés à la gymnastique médicale mais aussi une très large portion de la production d'imprimés touchant à l'anatomie, l'hygiène, la thérapeutique, la physiologie, l'orthopédie, etc. Le corpus contient également des articles des principaux dictionnaires médicaux de la période et des principales revues médicales du XIXe siècle. Avec une approche critique de l'historiographie et à partir de ce corpus, nous avons travaillé dans le cadre de contextes définis pour saisir au plus près les logiques sociales et scientifiques amenant les médecins auprès de l'éducation physique. Trois conjonctures successives structurent l'engagement médical. Entre 1741 et 1817, la thèse retrace l'émergence d'un questionnement ; les années 1817-1847 constituent un « moment orthopédique » dans la formulation de la gymnastique ; et finalement entre 1847 et 1888, on observe une diversification des voies de légitimation médicale des exercices du corps. Ces trois moments de l'histoire des « discours gymniques médicaux » proposent un certain nombre de convergences : la prégnance de l'orthopédie, une certaine concentration autour de la santé des corps féminins, l'inclusion dans un « projet hygiéniste » ; mais aussi des divergences et des singularités : relatives à la progressive structuration en cours du champ médical, à l'implication progressive du politique (surtout après 1845/1850), aux transformations des pathologies/doctrines médicales « dominantes », ainsi qu'à l'importance plus ou moins forte de l'une ou l'autre des facettes de l'éducation physique (militaire, athlétique, « médicinale » ou pédagogique). Le processus est aussi celui de l'expérimentation de la curation de certaines pathologies (scolioses, affections nerveuses), dans des configurations idéologiques/scientifiques marquées par la « dégénération » (XVIIIe siècle), l'anatomie pathologique (début du XIXe siècle) et plus tard la « dégénérescence » et les affections nerveuses (après 1850). Dans le cadre d'une dynamique d'inspiration « foucaldienne », ces recommandations évoluent d'une anatomopolitique - caractérisée par un essor de discours empreints d'anatomie au XVIIIe siècle - vers une biopolitique - caractérisée par l'engagement de l'Etat qui fait de la gymnastique une discipline d'enseignement, pensée à des fins hygiéniques dans la seconde moitié du XIXe - où le processus réside en fait dans une biologisation progressive des recommandations pratiques. Observée à l'aune de la formulation médicale de l'éducation physique, la biopolitique n'est pas réalisée dans la seconde moitié du XVIIIe, elle se compose lentement aux marges de l'institution scolaire et des gymnastiques pédagogico-militaires pour constituer un projet thérapeutique et hygiénique plus construit après 1850. Abstract : This dissertation analyzes French doctor's involvement in debates and initiatives concerning physical education between 1741 and 1888. Based on a prosopographic inventory of those physicians who participated in the development of physical education, it explores the variety of their discourses with respect to the practice of physical exercises. This investigation relies on a large selection of primary sources: works devoted to medical gymnastic, but also medical treatises related to anatomy, hygiene, therapeutics, physiology, orthopedics, etc. The sources also include articles from the major medical dictionaries and journals of the nineteenth century. These documents are used to explore the socio-scientific mechanisms that underlay physicians' commitment to physical education. Three chronological periods structure medical engagement in the area of physical education. Between 1741 and 1817 the thesis traces the emergence of a questioning; the years 1817 to 1847 represent an « orthopedic moment » in the development of gymnastics; finally between 1847 and 1888, one witnesses a diversification of the legitimation process between medicine and gymnastics. These three moments in the history of « medical and gymnastic discourses » offer a number of similarities: the weight of orthopedics, the ongoing focus on the health of the female body, and the association of these discourses with a « hygienic project ». But differences also distinguish these periods as the medical field became more structured and new medical doctrines became dominant, with the increasing involvement of politics (especially after 1850), and with the changing weight of priorities within physical education (military, athletic, « medical » or pedagogic). Medical discourses centered on the curing of certain diseases (scoliosis or nervous disorders) are analyzed within an ideological configuration marked by the idea of « degeneration » (in the eighteenth century), « pathological anatomy » (in the early nineteenth century) and later « dégénérescence » associated with nervous disorders (after 1850). The dissertation draws on Foucault's historical epistemology to understand how medical recommendations evolve from an anatomopolitics - characterized by a surge in anatomical discourses - toward a biopolitics - characterized by the commitment of the State to introduce gymnastics for hygienic purposes into schools in the second half of the nineteenth century. This process reveals a progressive "biologization" of practical recommendations. The medical discourses about physical education show that Foucault's biopolitical power is not achieved in the second half of the eighteenth century, but develops slowly at the margins of the school system and of pedagogical and military gymnastic, becoming a veritable hygienic and therapeutic project only after 1850.