erosion, screening, and migration of tungsten in jet

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Brezinsek DOI:10.1088/1741-4326/ab2aef EX/9-4 Erosion, Screening, and Migration of Tungsten in JET Equipped with Tungsten Divertor S. Brezinsek 1 , I. Borodkina 1 , D. Borodin 2 , I. Coffey 3 , C. Guillemaut 4 , K. Heinola 5 , A. Huber 2 , A. Kirschner 1 , S. Krat 2 , S. Jachmich 6 , G. Sergienko 1 , G. F. Matthews 3 , M. Mayer 7 , S. Wiesen 1 , A. Widdowson 8 , A. Baron-Wiechec 8 , A. G. Meigs 8 , and M. Imrisek 9 The JET Contributors 1 Forschungszentrum Jülich, Jülich, Germany 2 Institute of Energy and Climate Research, Forschungszentrum Jülich, Jülich, Germany 3 Culham Centre for Fusion Energy (CCFE), Culham Science Centre, Abingdon, UK 4 Instituto Superior Técnico (IST), 1049-001 Lisbon, Portugal 5 University of Helsinki, 00100 Helsinki, Finland 6 Laboratory for Plasma Physics, ERM/KMS, Brussels, Belgium 7 Max-Planck-Institut für Plasmaphysik, Garching, Germany 8 United Kingdom Atomic Energy Authority, Culham Science Centre, Abingdon, UK 9 Institute of Plasma Physics AS CR v.v.i., Prague, Czech Republic Corresponding Author: S. Brezinsek, [email protected] Tungsten, W, is the plasma-facing material of the JET-ILW divertor. W erosion by plasma and impurity impact determines the components lifetime as well as can influence the plasma performance by the W influx into the confined region. Certainly, the W screening by the divertor and the W transport into the plasma determines the W core content, but the W source itself impacts the process. Its quantification is essential to understand the interplay between the W impurity and the plasma. The JET-ILW provides access to a large set of W erosion-determining parameters permitting a detailed description of the source in the divertor closest to the ITER one. a) Effective sputtering yields and fluxes as function of impact energy of intrinsic (Be,C) and extrinsic (Ne,N) impurities as well as hydrogenic isotopes (H,D) are determined. This includes the interplay between intra- and inter-ELM W sources caused by the flux and energy distributions in these phases. The threshold behaviour and the spectroscopic composition analysis provide an insight in the dominating species and phases causing the erosion. b) The interplay between net and gross W erosion source will be elaborated considering prompt redeposition, thus, the return of W to the surface within one Larmor radius, and surface roughness, thus, the difference between smooth bulk-W and rough W-coating components. Both effects impact the balance equation of local W erosion and deposition. c) Postmortem analysis reveals the campaign-integrated net migration path identifying the W transport to remote areas. The transport is related to the plasma regime, e.g., H-mode with attached divertor and high impact energies of impinging species or detached operation, as well as to the magnetic configuration, e.g., corner with geometrical screening of W or ITER-like vertical target. d) The influence of parameters like surface temperature on the erosion, including the role of chemically assisted physical sputtering, is covered. JET-ILW permitted access to net W erosion in one magnetic configuration within a series of 151 subsequent discharges. Comparison of spectroscopy in the intra-ELM and inter-ELM phases with postmortem analysis of marker tiles provided a set of gross and net W erosion. ERO code simulations could reproduce the pattern as well as confirm high prompt W redeposition factors of more than 95% for the intra-ELM phase. Published as a journal article in Nuclear Fusion http://iopscience.iop.org/article/10.1088/1741-4326/ab2aef

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Brezinsek DOI:10.1088/1741-4326/ab2aef EX/9-4

Erosion, Screening, and Migration of Tungsten in JET Equipped withTungsten Divertor

S. Brezinsek1, I. Borodkina1, D. Borodin2, I. Coffey3, C. Guillemaut4, K. Heinola5, A. Huber2,A. Kirschner1, S. Krat2, S. Jachmich6, G. Sergienko1, G. F. Matthews3, M. Mayer7, S. Wiesen1,

A. Widdowson8, A. Baron-Wiechec8, A. G. Meigs8, and M. Imrisek9

The JET Contributors1Forschungszentrum Jülich, Jülich, Germany

2Institute of Energy and Climate Research, Forschungszentrum Jülich, Jülich, Germany3Culham Centre for Fusion Energy (CCFE), Culham Science Centre, Abingdon, UK

4Instituto Superior Técnico (IST), 1049-001 Lisbon, Portugal5University of Helsinki, 00100 Helsinki, Finland

6Laboratory for Plasma Physics, ERM/KMS, Brussels, Belgium7Max-Planck-Institut für Plasmaphysik, Garching, Germany

8United Kingdom Atomic Energy Authority, Culham Science Centre, Abingdon, UK9Institute of Plasma Physics AS CR v.v.i., Prague, Czech Republic

Corresponding Author: S. Brezinsek, [email protected], W, is the plasma-facing material of the JET-ILW divertor. W erosion by plasma

and impurity impact determines the components lifetime as well as can influence the plasmaperformance by the W influx into the confined region. Certainly, the W screening by the divertorand the W transport into the plasma determines the W core content, but the W source itself impactsthe process. Its quantification is essential to understand the interplay between the W impurity andthe plasma.

The JET-ILW provides access to a large set of W erosion-determining parameters permitting adetailed description of the source in the divertor closest to the ITER one. a) Effective sputtering yieldsand fluxes as function of impact energy of intrinsic (Be,C) and extrinsic (Ne,N) impurities as well ashydrogenic isotopes (H,D) are determined. This includes the interplay between intra- and inter-ELMW sources caused by the flux and energy distributions in these phases. The threshold behaviourand the spectroscopic composition analysis provide an insight in the dominating species and phasescausing the erosion. b) The interplay between net and gross W erosion source will be elaboratedconsidering prompt redeposition, thus, the return ofW to the surface within one Larmor radius, andsurface roughness, thus, the difference between smooth bulk-W and rough W-coating components.Both effects impact the balance equation of local W erosion and deposition. c) Postmortem analysisreveals the campaign-integrated net migration path identifying the W transport to remote areas.The transport is related to the plasma regime, e.g., H-mode with attached divertor and high impactenergies of impinging species or detached operation, as well as to the magnetic configuration, e.g.,corner with geometrical screening of W or ITER-like vertical target. d) The influence of parameterslike surface temperature on the erosion, including the role of chemically assisted physical sputtering,is covered. JET-ILW permitted access to net W erosion in one magnetic configuration within a seriesof 151 subsequent discharges. Comparison of spectroscopy in the intra-ELM and inter-ELM phaseswith postmortem analysis of marker tiles provided a set of gross and net W erosion. ERO codesimulations could reproduce the pattern as well as confirm high prompt W redeposition factors ofmore than 95% for the intra-ELM phase.

Published as a journal article in Nuclear Fusionhttp://iopscience.iop.org/article/10.1088/1741-4326/ab2aef

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Erosion, Screening, and Migration ofTungsten in the JET Divertor

S. Brezinsek1, D. Borodin1, A. Huber1, A. Baron-Wiechec2, I. Borodkina1,3, I. Coffey2,Ch. Guillemaut4, K. Heinola5,6, M. Imrisek7, S. Jachmich8, E. Pawelec9, A. Kirschner1,S. Krat10, G. Sergienko1, G.F. Matthews2, M. Mayer10, A.G. Meigs2, S. Wiesen1, A.Widdowson2 and JET contributors

1Forschungszentrum Julich GmbH, Institut fur Energie- und Klimaforschung Plasma-physik, Partner of the Trilateral Euregio Cluster (TEC), 52425 Julich, Germany2CCFE Fusion Association, Culham Science Centre, Abingdon, OX143DB, UK3National Research Nuclear University MEPhI, Moscow, Russia4Instituto de Plasmas e Fusao Nuclear, IST, Universidade Lisboa, PT5International Atomic Energy Agency IAEA, PO Box 100, A-1400 Vienna, Austria6Department of Physics, P.O. Box 64, 00014 University of Helsinki, Finland7Institute of Plasma Physics AS CR, Prague, Czech Republic8LPP, Ecole Royale Militiare/Koninkllijke Militaire School, B-1000 Brussels, Belgium9Institute of Physics, Opole University, Oleska 48, 45-052 Opole, Poland10Max-Planck-Institut fur Plasmaphysik, D-85748 Garching, Germany

Corresponding Author: [email protected]

⋆See the author list of X. Litaudon et al 2017 Nucl. Fusion 57 102001

1 IntroductionTungsten (W) is currently applied as plasma-facing material (PFM) [1] for the divertorin JET [2], ASDEX-Upgrade [3], and foreseen in ITER [4]- the next step fusion plasmadevice starting operation in less than a decade. The erosion of W by plasma impactdetermines on the one hand the lifetime of divertor components [5, 6] and on the otherhand erosion can have vital impact on the plasma performance as it governs the W influxto the confined region [7, 8]. Certainly, the screening of W by the divertor geometryfrom the confined region and the transport of W into the plasma determines the finalcontent of W in the plasma core, but the W source itself affects substantially this process.Thus, the quantification of the W source induced by the impact of a mixture of impinginghydrogenic species, intrinsic and extrinsic impurity species as well as the helium ash isessential to understand and predict the impact of W on the fusion-relevant plasma itself.The final goal is to identify parameters to tame the W source and transport in order toavoid potential critical W concentrations in the core as well as ensure a long lifetime ofplasma-facing components (PFCs) suitable for a reactor.In this paper, we focus on plasma-surface interaction (PSI) studies with W plasma-facingcomponents (PFCs) performed in JET operating with ITER-like wall (JET-ILW), thus,Beryllium (Be) first wall and full W divertor in hydrogen (H) and deuterium (D) plas-mas and expectations for the upcoming operation in tritium-containing plasmas (T). Thefirst years of JET-ILW operation provided access to parameters which determine the W-related PSI [9], permitting a detailed description of the W source in the divertor closest in

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dimension to the one in ITER. Critical is in general the estimation of the net W erosionsource related to one specific plasma and magnetic configuration in a fusion device whichcan be used to benchmark the available PSI codes (e.g. ERO [10], WallDYN [11], etc.)and plasma-edge codes (e.g. SOLPS-ITER [12]) concerning the W erosion, transport, anddeposition which is usually defined as W migration.Optical emission spectroscopy of the eroded W atoms provides plasma- and configuration-resolved gross erosion information, but in the case of W is the role of re-deposition veryprominent and the re-deposition factor most critical in view of the source strength [13].Post-mortem analysis after a campaign gives in principle access to the erosion and deposi-tion pattern, but integrated over a large number of configurations and plasma conditionswhich makes a direct correlation to a single plasma condition in general very challenging.We present an integrated view on the PSI related to W PFCs utilising a dedicated cam-paign in H-mode plasma conditions accumulating 900 seconds at ITER divertor-relevantconditions [14] and providing unique information about macroscopic-measurable W neterosion compared with spectroscopically determined W gross erosion in quasi-steady-stateconditions. This is complemented by a number of dedicated experiments with variationof single critical parameters such as e.g. impact energy, impinging impurity composition,and screening. The following subjects will be addressed in:• Section 2: Effective W sputtering yields and fluxes as function of impact energy (Ein) ofintrinsic (Be, C)[15] and extrinsic impurities (N, Ne) as well as ions of hydrogenic isotopes(H, D) are determined and discussed. This includes in particular also the interplay be-tween intra- and inter-ELM induced W sources caused by the influx composition [16, 17]and energy distributions [17, 18] in these two plasma phases. The sputtering thresholdenergy and the spectroscopic composition analysis provide an insight in the dominatingspecies and plasma phases responsible for the W sputtering.• Section 3: The interplay between net and gross W erosion will be analysed consideringthe effects of prompt re-deposition, thus, the return of sputtered and ionized W to thesurface within one Larmor radius or gyration time [19], and of surface roughness, thus,the difference between smooth bulk-W and rough W-coated components [20]. Both effectsimpact on the balance equation of local W erosion and deposition as well as on surfacestates and morphologies found after tile extraction [21]. Optical emission spectroscopy(OES) provided the gross erosion rates and pattern and post-mortem analysis (PMA) thecorresponding net erosion and deposition pattern in the divertor. However, PMA coversthe net migration path over hours of different plasma operation including the transportof W to remote divertor areas [22] and to the main chamber.The experimental results will be brought in perspective to the expected W sources inJET-ILW in the DT phase and in ITER in the different phases of operation towards highperformance plasmas [24]. The particular role of intra- and inter-ELM erosion of W aswell as the gross and net erosion in both divertor legs in attached and detached divertorconditions will be reviewed in section 4.

2 Physical Sputtering of TungstenThe main mechanism for erosion of tungsten under steady-state or ELM-like particle loadsis physical sputtering which can be described by a binary collision approximation (BCA).The projectile is thereby an energetic atom or ion present in the plasma which hits the

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target material, the tungsten matrix, and transfers energy to overcome the surface bind-ing energy of individual W atoms. Fig. 1a) describes the sputtering yield of W atomsby different impinging plasma fuel and impurity ions under perpendicular impact angle.The threshold energies for the different ion species depend on the mass confirming theadvantage of the detached divertor regime with impact energies below the threshold for allconsidered intrinsic and extrinsic impurities. Fig. 1b) describes the shift of the energeticthreshold for the three hydrogenic isotopes as well as the increase in magnitude with massincrease. W sputtering by hydrogen isotopes occurs only at high impact energies as e.g.present during Edge Localise Modes (ELMs)- so-called intra-ELM sputtering. However,steady-state operation at electron temperatures Te above 80eV in the near scrape-off layer(SOL), reached e.g. in hybrid H-mode plasmas, results in impact energies Ein of about400eV which is sufficient to sputter W significantly by deuterons, too. In the case of tri-tons, the equivalent Te to observe significantly W sputtering drops to about 50eV whereasfor protons no W sputtering in the steady-state phase will occur as the required Te in thenear-SOL would be around 200eV .The situation is different in baseline H-mode plasmas in JET-ILW operating in D andH. The applied plasma fuelling is usually leading to lower Te-values in the near-SOL incomparison with hybrid plasmas. Consequently, W sputtering by protons and deuteronsis negligible in the phases between ELMs (inter-ELM sputtering), but corresponding plas-mas operating with T as fuel species will lead to a significant inter-ELM contribution inthe W sputtering by triton impact. However, these theoretical sputtering yields are cal-culated under the assumption of a monoenergetic impact by a single ionic species on asmooth surface and represent gross erosion yields without any redeposition. Transfer toexperimental conditions in JET need to consider the energy distribution of impinging ions(Maxwellian distribution for L-mode or between ELMs) and - apart from hydrogenic ions- also the mixture of different ionisation stages. Fig. 1c) shows measurements of gross

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FIG. 1: a) Physical sputtering yield of W hit by fusion-relevant ions. b) Physical sputter-ing of W by energetic hydrogen isotope ions. c) Measurement of the W sputtering yieldin the outer divertor of JET in ICRH-heated L-mode discharges in D and H plasmas.

erosion yields of W in JET-ILW L-mode plasmas in front of the bulk W outer divertorfor hydrogen and deuterium. The threshold energy for both cases is within the errorbars identical and lays between Te = 8eV and Te = 10eV . This confirms that indeed atthese low impact energies impurities are responsible for the W sputtering and not ions ofhydrogen isotopes. Considering the impurity influx composition in JET-ILW, solely theimpact of Be ions has to be taken into account as C and O concentrations are at least oneorder of magnitude lower in the impinging ion flux than Be [9]. The impurity levels have

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been determined in-situ by optical emission spectroscopy to amount between 0.5% and1.0%. The sputtering behaviour is also representative for unseeded intra-ELM conditionsof baseline H-mode conditions. In the case of seeded species, additional sputtering of theseeding species, at JET-ILW typically Ne or N ions, need to be considered. Both speciescan dominate the W sputtering until radiative cooling of the plasma due to the seed gas[25] leads to a reduction of the impact energy of the seed ions at the W target below thesputtering thresholds.The calculated physical sputtering yields in BCA exclude the recently observed channelvia chemically assisted physical sputtering (CAPS) and release of WD molecules [26].The appearance of this channel depends on the fuel content in the near W surface, whichresults in a surface temperature dependence, and the hydrogenic ion flux to the W targetplate. The parameter space in ASDEX Upgrade and JET, both with inertially cooled WPFCs, is overlapping, thus, it can be expected that CAPS is present in JET-ILW at leastat surface temperatures up to 350◦C, too. CAPS might occur at a reduced activationand threshold energy for sputtering, but on the other hand it might also reduce the barephysical sputtering by dilution at the surface as it is likely concurrent process. Detailedstudies are foreseen to investigate CAPS further in H, D, and T JET-ILW plasmas.For the interpretation of experimental erosion yields as done e.g. by the ERO code, onemust consider the angular dependence of the physical sputtering yield as well as sheatheffects in the strong magnetised edge plasmas. Typically for the JET-ILW divertor is anaveraged impact angle of about 60◦ at a toroidal magnetic pitch angle of 1◦ − 3◦ onto thesurface. Both effects lead in the case of Be ion impact on W to an increase of the erosionyield by e.g. a factor 1.7 at Ein = 200eV in comparison with the corresponding monoen-ergetic impact case under normal incidence. Further details are described in [19] for abenchmark experiment on the bulk W target tile including also the Maxwellian energydistribution of the impinging Be ions.

Earlier experiments in ASDEX Upgrade [13] and JET-ILW [16] studied the variation

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FIG. 2: a) Variation of the inter- and intra-ELM sputtering of W in JET-ILW baselineplasmas [16] b) Variation of the contribution of Be ions to the intra-ELM W sputtering inD plasmas. c) Variation of the intra-ELM W sputtering with impinging hydrogen isotope.

of inter-ELM and intra-ELM contributions to the gross W erosion in the divertor. Inthe case of cold divertor conditions with impact energies close to or below the sputteringthreshold for W sputtering, solely the intra-ELM phase dominates the W source as theinter-ELM contribution is switched off [9]. In the case of hot and strongly attached diver-tor conditions is the situation more complex as shown in fig. 2a). Fig. 2a) is describingthe fraction of intra-ELM sputtering to the total W source in the outer divertor of JET-

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ILW in deuterium baseline H-mode plasmas. The variation in composition depends onthe actual impinging ion flux distribution, impact energies, and the ELM frequency. Thelatter limits usually the spectroscopic analysis as the time resolution is often insufficientto separate the intra- and inter-ELM phases due to high ELM frequencies and averagedsignals are used for analysis. However, de Harder et al. [16] could separate both con-tributions and found up to 80% intra-ELM sputtering under attached conditions in theJET-ILW operational space on the bulk W outer divertor target.Further insight provides an analytical model introduced by Borodkina et al. [17] whichdescribes the intra-ELM sputtering source as function of the pedestal temperature (Tped),which determines the impact energy of ions assuming a free-streaming transport dur-ing the ELM crash [18], the impinging species composition, and the magnetic field (Bt).Fig. 2b) shows the change of the W erosion per ELM impact as function of the Be ion(Be2+) fraction in the impinging ion flux to the target in D plasmas derived from theanalytical model considering Bt = 3.0T and ne,ped = 1 × 1020m−3 as further input pa-rameter. With rise of Tped thus indirectly with the monoenergetic projectile energy Ein

during the ELM crash, an increase of the W erosion per ELM occurs. The addition ofe.g. 1.0% Be2+ leads to an increase of up to 40% in the total erosion with respect tothe pure D case. The exchange of the hydrogen isotope ion in the model, as shown infig- 2c), reveals a strong isotope dependence of the W erosion per ELM impact with twiceas high erosion by tritions in comparison with deuterons at the same initial pedestal con-ditions. The fraction of Be ions was kept constant in this study whereas it might rise inaddition during T plasma operation due to higher sputtering of Be from the main walldue to charge-exchange neutrals [9]. Please note, that the observations in D plasmas areconsistent with recent studies in DIII-D [23] where the main impurity (carbon) fractionin the flux to the target plate dominates the W sputtering in the intra-ELM phase overthe impinging deuterons.

3 W erosion in quasi-steady-state plasma conditionsThe critical question to address is: How can the in-situ observed gross erosion rates de-termined by OES be related to net erosion rates and where does the deposition take placefor a specific plasma condition. PMA provides the distribution where net erosion and netdeposition takes place, however, this is integrated over a typical campaign which last inJET about 20 plasma hours and consists of mixtures of different magnetic configurationsand plasma conditions. General trends can be obtained by sorting along magnetic con-figurations as described in [27], but it is challenging to connect this in general to a singleplasma condition which can be modelled as the overall net erosion of W is very small.At the end of the first year of operation, a series (C30C) of 151 identical D discharges inH-mode were executed (JPN#83261−83791: magnetic field, Bt = 2.0T , plasma current:Ip = 2.0MA, purity: Zeff = 1.2, additional power Paux = 12.0MW NBI [6]) with staticmagnetic configuration (fig. 3a) over the whole divertor phase of the plasma. This seriesof identical unseeded discharges had an integral exposition time in the H-mode phase ofmore than 900s in attached conditions for both divertor legs with more than 30 000 com-parable ELMs (ELM duration 2ms) and in total 2500s in divertor configuration at muchlower impinging flux. The inboard strike-line (ISP: Te = 7eV and ne = 2.5 × 1020m−3)was located on tile 3 at a location often used in the campaign and which still representeda clean W-coated CFC surface without Be deposition as OES indicated. The outer strike-

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line (OSP: Te = 35eV and ne = 6×1019m−3) was located on a part of the bulk-W divertor(tile 5, stack C) which could be correlated to the exposure in this period of plasma op-eration before tile removal. Fig. 3b) shows the heat load footprint on the target plate,

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FIG. 3: a) Magnetic configuration used (tile 3/5) and compared to corner (tile 4/6). b)Averaged temperature distribution at the OSP. c) Averaged spatio-temporal evolution ofthe temperature during an ELM. d) Spectroscopic footprint of the WI photon flux densityat the OSP averaged over inter and intra-ELM phases.

measured by infrared thermography, averaged over intra-ELM and inter-ELM phases andfig. 3c) depicts the footprint of a coherent-averaged ELM. The complex pattern due to thelamellae and the global shadowing is visible as well as the fact that the ELM-footprint(intra-ELM phase) is about 1.8 times wider than the averaged footprint which is de-termined by the inter-ELM phase. We assume a comparable footprint on the bulk Wdivertor also for the impinging ions. Fig. 3d) shows for one representative discharge thespatio-temporal evolution of the erosion flux measured by WI at λ = 400.9nm at theouter target plate. The spectroscopic system averages over inter and intra-ELM phasesresulting a comparable footprint to the IR thermography pattern. The integrated W

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FIG. 4: ELM averaging at the ISP: impinging deuteron flux, recycling flux, Be impurityflux, W sputtering flux. b) 3D view in the light of Dα and WI during an ELM event.

gross erosion from the outer target plate was deduced from this system considering thetotal exposition time in the experiment and applying inverse photon efficiencies for thegiven plasma parameter. However, a complementary multichannel OES system equippedwith interference filters providing high temporal resolution on the cost of spatial resolu-tion (3cm spots) was used to resolve the intra-ELM phase and permit the comparison ofinter- and intra-ELM distributions for both divertor legs. Figure. 4a) shows for the innerdivertor leg the statistical analysis of BeII photon flux, representative for the impingingBe flux, the WI photon flux, representative for the W erosion flux, as well as the Dα

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photon flux which reflects a combination of recycling flux prior to the ELM impact andrecombination due to ougassing after the ELM impact [6]. The inner strike line priorthe ELM is close to semi-detachment (Te = 7eV ) resulting in an impact energy of theimpinging ions below the physical sputtering threshold of Be on W as described in fig. 1c),thus, the W sputtering in the inner leg is solely determined by the intra-ELM phase. Thesituation is different in the outer leg, where Te = 35eV at the OSP is sufficient to haveinter-ELM sputtering by impinging the Be ions which counts for about 30% of the grossW erosion; this is in-line with the statistical analysis in fig. 2a). Thus, 70% of the grossW sputtering in the outer leg occurs in the intra-ELM phase considering different particleinteraction areas on the target for both phases.A complete poloidal set of PFCs was extracted and analysed post-mortem which includedW-coated CFC tiles at the ISP (tile 3) and bulk W lamella at the OSP (tile 5). A few Wlamellas where coated prior installation with a thin 3µm W and 3µm Mo double layer aserosion marker. PMA revealed that the top W layer was completely removed at the loca-tion of the OSP [21] and half of the erosion could be attributed to the 900s H-mode phasein C30C; the rest is attribute to comparable other H-mode plasmas and L-mode phaseswhich have been summed up over the complete first year of operation at this location.Comparison of the W source spectroscopy in the intra- and inter-ELM phases with thepost-mortem analysis provides a pair of gross and net W erosion: OES determines the Wgross erosion to 40− 60g and PMA the W net erosion to 2.4− 4.8g over the 900s consid-ering the interaction area in the circumference of the outer divertor. This corresponds toa high re-deposition fraction of more than 94% averaged over both phases.The plasma-material interaction and transport code ERO coupled with improved PICmodelling for the complex re-deposition in both phases was applied to simulate a com-parable experimental case [19] in identical magnetic configuration with slightly differentlocal plasma conditions at the OSP with Te = 30eV and ne = 5 × 1019m−3 instead ofTe = 35eV and ne = 5× 1019m−3. Fig. 4b) shows the erosion and deposition distributionalong the outer target plate. Essentially, ERO can reproduce the large gross erosion, thelow net erosion, and thus the high local re-deposition on tile 5 with more than 94% in av-erage and about 99% for the sputtering dominating intra-ELM phase. ERO also includedthe process of W self sputtering in the present simulations which was not considered inthe experimental analysis. The overall divertor screening of the gross W erosion sourcein this open divertor geometry and configuration is more than a factor 100 and largelydetermined by the prompt re-deposition of W. The residual W escaping results in coreconcentration of cW = 5× 10−5. Usage of the so-called corner configuration is even morepreferable from the point of W screening as residual W atoms escaping the prompt re-deposition cycle are geometrically screened and W is transported deeper into the divertorpump duct. Thin W deposition was found in the recessed areas of the pump duct whichhave no direct lines-of-sight to the plasma [27].

4 ConclusionAnalysis of the W gross and net erosion in the JET-ILW by means of OES and PMAafter a quasi-steady-state campaign revealed a large W re-deposition factor of more than94% which can be reproduced by the ERO code for the given experimental conditions.Gross W erosion is driven by the intra-ELM sputtering whereas inter-ELM sputteringby Be ions is either completely absence (ISP) or low as 30% (OSP). Extrapolation to T

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operation in JET-ILW would lead to a substantial higher gross W erosion mainly causedby the larger intra-ELM contribution, but colder divertor operation might be required toinhibit a substantial inter-ELM sputtering due to tritons.The quasi-steady-state plasma operation in the JET-ILW with 900s of H-mode is done

JET-ILW (C30C D) ITER (FPO DT base) ITER (PFPO H case)

Plasma !me 900 s (H-mode) 400 s (H-mode) 200 s

Number of pulses 151 1 1

Input power 12 MW 150 MW 20 MW

Energy input 7.2 GJ 60 GJ 4 GJ

Divertor ion fluence ~2.0x1026 D/m2 ~2.5x1027 D/m2 ~2x1026 D/m2

Divertor ion flux ~2.5x1023 D/sm2 ~6.3x1023 D/sm2 ~1x1023 D/sm2

We# ed area ~1 m2 ~2.5 m2 ~2.5 m2

ELM frequency 30 Hz ~30 Hz (pacing) -/tbs

Number of ELMs 30 000 12 000 -/tbs

FIG. 5: Comparison of the quasi-steady-state campaign in JET-ILW with ITER opera-tional phases.

at particle loads, ion fluxes, and fluence comparable to one discharges in the pre fusionplasma operation (PFPO) in ITER (fig. 5). The plasma conditions at the inner divertorleg of JET-ILW are close to the required semi-detached operation in ITER. Thus, theimpact energy of Be ions at the vertical target plates in ITER will not cause W erosionin the intra-ELM phase, but inter-ELM sputtering will solely determine the W grosserosion. The high prompt re-deposition factor will help to minimise the net W erosionsource assuming the ELMs are controlled and reduced in strength. The ERO code verifiedin this JET-ILW experiment can be applied to extrapolate to the plasma conditions in thePFPO as well as to those in the fusion plasma operation (FPO). However, the lifetime ofthe W divertor would be greatly improved as well as the residual W flux into the confinedplasma reduced if full ELM suppression in ITER would be achieved.Acknowledgements: This work has been carried out within the framework of the EUROfu-sion Consortium and has received funding from the Euratom research and training programme2014-2018 under grant agreement No 633053. The views and opinions expressed herein do notnecessarily reflect those of the European Commission.

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