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Experimental investigation of. turbulent transport. at the edge of tokamak plasmas. Nicolas Fedorczak. Thesis supervisor : A. Pocheau (IRPHE). CEA supervisor : P. Monier-Garbet J.P. Gunn Ph. Ghendrih. Magnetic confinement & transport.
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Experimental investigation of turbulent transport at the edge of tokamak plasmas Nicolas Fedorczak Thesis supervisor : A. Pocheau (IRPHE) CEA supervisor : P. Monier-Garbet J.P. Gunn Ph. Ghendrih
Magnetic confinement & transport !! gradients (no thermo-dynamical equilibrium) + curvature transport - pressure gradient in core plasma critical issue for reactor efficiency - energy losses to the walls critical issue for reactor operation Magnetic confinement of ~10keV plasma Tokamak : // direction : free motion direction : constrained by B
Edge transport : turbulence & asymmetry demonstrated the high level of turbulence demonstrated transport asymmetries Experimental evidences : interchange P + B drive instability free energy source Garcia & Pitts NF2007 HFS : stable / LFS : unstable J.P. Gunn JNM2006 B. LaBombard NF2004 Tore Supra, C-mod Current tokamaks : JET, DIII-D, ASDEX, Tore Supra, NSTX, TCV, Alcator C-mod … ExB convection Picture from fast imaging on Tore Supra :
Edge plasma influenced by plasma/wall interaction Plasma facing components (PFC) : - perfect sink of particle - regulate charges & currents - spatial symmetry breaking flows determine the SOL plasma equilibrium (balance between // and fluxes) Heat load footprint, matter migration (flows) + boundary conditions for core rotation Boundary of confined plasma : open field lines region = Scrape-Off Layer delimited by the Last Closed Flux Surface
Open issues related to ITER project ITER : next step toward fusion reactor - steady-state + fusion reactions - High performances discharges Critical issues related to edge plasma No robust model to predict: - Heat load on first wall - Pedestal gradient (shear flow & boundary conditions) shear-flow flow boundary Physics of blobs, ELM’s & transport barriers
Axis of my research on Tore Supra Tokamak Multi-diagnostic investigation of edge turbulent transport Mach probe // flows and density profiles Rake probes electrostatic fluctuations Fast imaging & reflectometers fluctuation dynamics & asymmetries Build a consistent picture of particle transport at the edge Constrain models : C-mod, DIII-D, ASDEX, JET Difficult to address from current experiments :
Experimental investigation of turbulent transport at the edge of tokamak plasmas I. How do we diagnose the plasma phenomena 1. Langmuir probes 2. Fast visible imaging II. The model drawn from experiments on Tore Supra 1. Consistency local / global measurements 2. 3D properties of edge particle transport : revisiting filaments III. Implications & conclusion
Reciprocating Langmuir probes I 2 hydraulic systems installed at the plasma top full radial profile collection Illustration of data collection along the probe path 200 ms !! experience strong heat flux ~MW.m-2
Improving Mach measurements I calibration with effective collection area sensitive to collector geometry Tunnel collector small cylindrical collector Mach collectors of the rake probe (poloidal rake probe) ? Gunn, Dejarnac large effect on flow velocity measurements Yet, tunnel probes used only on Tore Supra… • plasma collection by a biased electrode local plasma parameters : ne, Te, plasma Mach configuration : // flow velocity !! time averaged data !!
Implementing rake probes for fluctuations I mode selection anti-aliasing dynamical sampling : SNR Requirements for SOL plasma fluctuations: ExB convection potential & density 1 MHz acquisition rate + ~mm spatial sampling In charge of the final design, maintenance & use of a new diagnostic DTURB & the rake probes Improved control & electronics for a flexible & sensitive acquisition Collaboration with Gent University (G. Van Oost)
Issue on the interpretation of fluctuations I Error calculated on turbulence simulation experiment Tokam 2D non negligible error depends on potential eddy size Some experimental data are not exploitable for rturb!! Turbulent flux : Discrete measurement : Effect of electric field under-sampling ? (Never mentioned in the literature)
Fast imaging of edge transport phenomena I Use visible plasma emission to picture the density fluctuations local plasma electrons excite neutrals & & Rich qualitative understanding: geometrical + dynamical up to 50 kHz (effective exp turb) wide opening angle Tore Supra top view Camera view Virtual view Collaboration with Nancy university + IRPHE
Qualitative information I Tangential projection of ~2D turbulence Tomographic reconstruction Velocity extraction @ midplane (reduced projection artifact) Qualitative agreement with reflectometers camera Collaboration LPP L. Vermare LFS gas injection recorded @ 50kHz Movies resolve the main turbulence dynamics extraction ? Collaboration LPMIA F. Brochard / G.Bonhomme + LMD R. Nguyen / M. Farge reconstruction?
Transport model: diagnostics capabilities II transport mechanisms + local amplitude Poloïdal rake probe local ExB turbulence global particle balance + spatial asymmetries Tunnel Mach probe // flows transport mechanisms + spatial asymmetries Fast visible imaging spatial properties 3D transport description from experimental evidences
Electrostatic fluctuations : interchange-like II & fluctuate in phase “bursty” transport Devynck, Boedo, Zweben Radial convection of density bursts
Electrostatic fluctuations : associated transport II Intermittent convection of density bursts : Vrblobs > 300 m.s-1 ( 1% cS ) qualitative agreement with fast imaging signature of filament convection? Vrplasma ~ 30 m.s-1 ( 0.1% cS ) Averaged effect : ordering consistent with density profiles but not quantitatively Consistency local vs. global measurements asymmetries ?
// flow drivers in TS SOL : radial particle flux II What mechanisms for • density profile • // velocity ? Particle flux balance : radial flux ? limiter recycling MC simulation // flow “ PS flows” probe data ne EIRENE Y. Marandet M// main driver ~10% ~15%
// flow velocity & radial flux asymmetry II SOL plasma Particle flux balance Conservation law (pressure) (Bohm) Boundary conditions @ limiters // flows balance the particle source asymmetry quantify the global particle balance (r into the SOL) partial resolution of asymmetries
flows balance: quantify LFS / HFS asymmetry II conservation laws applied to local // flow profiles near sonic @ top !! • r() highly enhanced @ LFS ? consistency with local ExB flux ? spatial mapping
Field line tailoring : resolve spatial asymmetry II r centered @ outboard midplane in a narrow poloidal section (50°) Use movable limiters to tailor the flux distribution along field lines quantify // flows response in term of radial flux distribution
Local / global consistency II - Mach probe spatial flux distribution (global) - Rake probe ExB flux amplitude (local) Illustration for 3 different plasma scenarios : global global global local local local Fairly good agreement between both independent measurements ExB flux highly asymmetric (?)
Fast imaging: evidence of asymmetry II Gas injection performed on HFS and LFS increase the visible emission pictured at 50kHz Plasma filaments are observed on LFS to propagate outward They are not observed on the HFS conciliate previous assumptions
Interpretation of multi-diagnostic investigation II Particle transport in SOL : - ExB convection of plasma “filaments” - highly asymmetric around the plasma : - centered @ outboard midplane - finite // extent usual flute mode paradigm - consistent with interchange instability mechanisms (localization + extent) - drive near-sonic // flows around the confined plasma Necessity to consider a 3D model of filament dynamics
Picture of filaments in the core ! II • Other experiment : stationary fully detached plasmas (3-4 sec.) --> emissive ring in the confined region (r/a ~0.5 ) + local conditions ( * , P ) similar to SOL Again,(largest)field alignedstructures only on theLow Field Side filaments k// > 0 + open / closed field lines
Implications of the results Revisiting the theoretical description & models of edge transport flute modes = 2D full 3D (ESPOIR project) 3D description obtained on Tore Supra applicable to divertor machines coherent with other evidences conciliate apparent incoherencies L-mode : LIMITER DIVERTOR Database of strong evidences about edge plasma phenomena (flows, decay length, fluctuations) Case base for new code benchmarking (MISTRAL project) Coupling of turbulence & edge flows with core rotation shear layers
Summary Experimental investigation of edge transport : About diagnostics : - interpretation of experimental data improving probe geometry for // flow measurements critical issues on the spatial sampling of fluctuations projection artifacts with visible imaging - multi-diagnostic consistency local & global measurements About transport model : - mechanisms driving the // flows radial flux - conservation laws help from simulation (SOLEDGE2D) + a posteriori checking About experiments : - Experimental proposals dedicated to specific issues - Check the consistency of results with a variety of experiments
Ionization source in the SOL • Monte-Carlo simulation of recycling on main limiter : EIRENE simulation • 3D domain ( toroidal symmetry) • Initial input (experiment) : ion fluxes @ limiter plates (from Mach probe) • ne + Te + Ti profiles (SOL + confined region) • Complete database for Deuterium atomic reactions • Self-consistent matter balance
Transversal drifts in SOL flux balance Flux balance : Simplified flux balance : • large aspect ratio • Er independent of |M//| ~ 1
Pressure conservation spatial mapping of & radial transfer of // momentum Validation with simulation Spatial mapping of r SOLEDGE2D G. Ciraoloa & H. Bufferand (only viscosity) Computable Reynolds stress P/P < 10 % P/P< 15 % ! But only linear term !
3D filaments : revisiting momentum transfer transfer of v// Issue in understanding SOL flow effect on core rotation computable from previous results average on flux surface : NO RESIDUAL TRANSFER • // dynamic of a single “filament” // front expansion ? coupling with local ExB fluctuations along the field line ?
SOL flow and core rotation flow reversal in SOL plasma for similar core plasma change in core velocity fields co-IP V V ct-IP
More experimental implications for Tore Supra • Heat load asymmetry on the main limiter Y. Corre & al. • Plasma environment of wave launchers (LH) M. Preynas, A. Ekedahl • coupling efficiency (gradients in front of antennae) • suprathermal electron generation V. Fuchs, J. Gunn, A. Ekedahl • 3. More physics about fuelling by gas injection or pellets • 4. Precise flow pattern in SOL plasma Carbon migration & deposition
List of contributions First author publications : N. Fedorczak, J.P. gunn, Ph. Ghendrih, P. Monier-Garbert, A. Pocheau Flow generation and intermittent transport in the scrape-off layer of the tore Supra tokamak Journal of Nuclear Materials 390–391 (2009) 368–371 N. Fedorczak, J.P. gunn, Ph. Ghendrih, G. Ciraoloa, H. Bufferand, L. Isoardi, P. Tamain, P. Monier-Garbet, Experimental investigation on the poloidal extent of the turbulent radial flux in tokamak scrape-off layer Journal of Nuclear Materials (2010) Oral contribution to international conferences : Ballooned like transport in the SOL of Tore Supra tokamak : evidences and properties Transport Task Force meeting (TTF2009) San Diego Poloidal mapping of turbulent transport in SOL plasmas Plasma Surface Interaction meeting (PSI2010) San Diego A first comparison between probes, fast imaging, and Doppler backscattering synchronous measurements of edge turbulence in Tore Supra European Plasma Society (EPS2009) Sofia (F. Brochard & N. Fedorczak)
Many thanks to Tore Supra pilots F. Saint-Laurent, P. Hertout, D. douai, Ph. Moreau Technical support : J.Y. Pascal, B. Vincent, F. Leroux, T. Alarcon, N. Seguin, V. Negrier Physicists Jamie Gunn, P. Hennequin, L. Vermare, P. Monier-Garbet, P. Devynck, F. Clairet C. Reux, D. Villegas, M. Kocan, X. Garbet, Ph. Ghendrih, Y. Sarazin, P. Tamain collaborators G. Ciraolo, L. Isoardi H. Buferand, E. Serre, G. Bonhomme, F. Brochard, M. Farge, R. Nguyen, A. Pocheau, G. Searby friends Matthieu, Sara, Sebastien, Vincent, Yannick, Matthieu, Clement, Sophie, Daniel, Gaëlle, Etienne, Cédric, Victor, Gwen, Ronan, Rémi, Matthieu, Mélanie, François, Joao, Tom, Magwa, Sparrow, Mélissa, Mai, Caro, Clemence, Dimitri, Vanessa, Julien, Lana, Alexis, Uron, Suk-ho, Timo and my family