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Tritium dating of dripwater from Villars Cave (SW-France)

P. Jean-Baptiste, D. Genty, E. Fourré, E. Régnier

To cite this version:

P. Jean-Baptiste, D. Genty, E. Fourré, E. Régnier. Tritium dating of dripwater from Villars Cave (SW- France). Applied Geochemistry, Elsevier, 2019, 107, pp.152-158. �10.1016/j.apgeochem.2019.06.005�.

�hal-02393604�

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Tritium dating of dripwater from Villars Cave (SW-France)

1 2 3

P. Jean-Baptiste1, D. Genty1, E. Fourré1, E. Régnier1

4 5

1 Laboratoire des Sciences du Climat et de l'Environnement, CEA-CNRS-UVSQ, CEA- 6

Saclay, 91191 Gif-sur-Yvette, France.

7 8

Corresponding author : Philippe Jean-Baptiste (pjb@lsce.ipsl.fr) 9

10

Abstract.

11 12

The tritium content of rainwaters and dripwaters was monitored from 2008 to 2016 to 13

determine the age of the dripwaters in Villars Cave, SW-France. Dripwater was collected at 14

two stations, one in the upper gallery and the other in the lower gallery of the cave. Stable 15

isotopes have been monitored at these two stations since 1997.

16

The infiltration time of the rainwater between the surface and the cave galleries was 17

determined using a simple one-dimensional model of the infiltration of recharge waters. The 18

model was forced by monthly precipitation and the concentration of tritium in precipitation 19

reconstructed from the IAEA isotope network and our own measurements in rainwater 20

collected at the Villars site. The age of the dripwaters is 7.0±0.5 years for the upper gallery 21

(10 m deep) and 11.1±0.5 years for the lower gallery (25 m deep). For the upper gallery 22

where 14C measurements from a modern stalagmite are available, the tritium age is in 23

excellent agreement with the time lag between the start of the bomb 14C peak in the 24

atmosphere and in the stalagmite carbonate.

25

In spite of the shallow depth of Villars Cave, the infiltration time is relatively high, 26

resulting in a substantial dampening of the seasonal to annual isotopic variations. As a 27

consequence, Villars Cave speleothems will archive climate variability at the multi-decadal to 28

centennial and millennial scale.

29 30 31

Keywords: karst hydrology, groundwater dating, tritium, δ18O.

32 33 34

© 2019 published by Elsevier. This manuscript is made available under the Elsevier user license https://www.elsevier.com/open-access/userlicense/1.0/

Version of Record: https://www.sciencedirect.com/science/article/pii/S0883292719301568 Manuscript_a1fbdb8dcc6a74f452a947b4d0f5dc91

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1. Introduction 35

36

Calcite speleothems precipitated in caves contain valuable proxy records of past climatic 37

and environmental conditions. Among those proxies, δ18O is a key parameter. It allows us to 38

study past changes in temperature, precipitation and past atmospheric circulation (i.e.

39

McDermott, 2004 ; Harmon et al., 2004 ; Fairchild and Baker, 2012 ; Mischel et al., 2015 ; 40

Cheng et al., 2016). However, if one wants to use speleothems quantitatively as paleoclimate 41

archives and in particular to correctly interpret the high resolution signals available in some 42

speleothems, it is very important to first investigate the link between rainfall and seepage 43

water. Long-term δ18O time series of rainwater and dripwater allow the comparison of the 44

isotopic signal with meteorological measurements and therefore the calibration of proxy 45

records. Such a study was undertaken at Villars Cave (SW-France) from a long time-series 46

of monthly δ18O in rainwater and dripwater at two different levels in the cave. The study was 47

initiated in 1997 (Genty et al., 2014) and the monthly monitoring, which is still going on, 48

started in 2000. In order to explain their results, the authors showed that it is necessary to 49

integrate weighted rainfall δ18O over long periods, implying an apparent residence time of up 50

to several years, in spite of the shallow depth of the cave (10-25 m). This surprising result 51

calls for a better understanding of the water percolation through the limestone formation 52

above the cave and a precise evaluation of the residence time of the seepage waters.

53

Among the various methods that have been applied to constrain groundwater ages, 54

tritium dating is one of the most popular (Clark and Fritz, 1997; Aeschbach-Hertig et al., 55

1998 ; Solomon and Cook, 2000 ; Price et al., 2003 ; Larsen et al., 2003 ; Solomon et al., 56

2015 ; Battle-Aguilar et al., 2017 ; George et al., 2018 ; Vrzel et al., 2018 ; Sundal et al., 57

2019) ; although a few examples only deal with cave dripwaters (Kaufman et al., 2003 ; 58

Kluge et al., 2010 ; Gasiorowski et al., 2015). During the 1950s and 1960s, atmospheric 59

nuclear testing released substantial quantities of tritium into the atmosphere in the form of 60

tritiated water molecules (HTO). By the time the test ban treaty negotiated by the USSR and 61

the USA came into force in 1963, the atmospheric content of tritium had reached a peak up 62

to 5000 TU in the Northern Hemisphere, corresponding to more than five hundred times the 63

natural tritium background (1 TU corresponds to a T/H ratio of 10-18). This initial atmospheric 64

stock of bomb-tritium gradually diminished due to the relatively short radioactive half-life for 65

tritium (12.3 yr) and to the strong dilution of the tritiated water molecules by the hydrosphere.

66

By 2010, these levels had practically returned to their naturally occurring atmospheric 67

concentrations, corresponding, at the latitude of France (43°N – 50°N), to rainwater tritium 68

concentrations lower than 10 TU (Cauquoin et al., 2015, 2016). In the early days of the use 69

of the tritium dating method, the pronounced ‘‘bomb-peak” produced by thermonuclear bomb 70

tests provided a strong marker. However, nowadays, inter-annual variations are small 71

(4)

although pronounced seasonal variations still occur. The method thus requires a precise 72

comparison of tritium values measured in groundwater with the regional input function of 73

tritium in precipitation and therefore a good knowledge of the past history of rainwater tritium 74

concentration in the study area.

75

This study presents the results and interpretation of monitoring tritium from 2009 to 2016 76

in precipitation at the Villars site and at two drip collection sites in Villars Cave, already 77

monitored for δ18O since the year 2000 (Genty et al., 2014) : one in the upper gallery (10 m 78

deep) and one in the lower gallery (25 m deep). The objective of the study was to determine 79

the infiltration time of the rainwater using a simple one-dimensional model of the infiltration of 80

recharge waters which might fit both our present tritium data and the δ18O monitoring results 81

(Genty et al. ,2014 and ongoing monitoring results).

82 83

2. Villars site climatic and geological settings 84

85

The Villars site is located at about 150 km from the Atlantic coast (Fig. 1) in south-west 86

France (45°.30’N, 0°50’E, 175 m altitude). Its has a temperate maritime climate with mild 87

winters and relatively humid summers. Average temperatures for December /January/

88

February and June/July/August are 5.2°C and 19.3°C respectively, with corresponding 89

average monthly rainfalls of 83 mm and 64 mm, respectively. Annual rainfall is 945 mm 90

(average of the period 2000-2016) but displays a substantial interannual variability (standard 91

deviation = ±160 mm).

92

Villars Cave has developed in middle Jurassic limestone, in an area of hilly terrain 93

covered by a deciduous forest. The cave is relatively close to the surface, with two main 94

networks of galleries located 10 meters and 25 meters below the ground, respectively 95

(Genty, 2008). These galleries are interspaced by some larger chambers. The temperature in 96

the upper galleries, 12.4 ± 0.4°C, is characterised by small seasonal oscillations lagging the 97

outside temperature by about one month. The temperature in the lower galleries do not show 98

any seasonal variation, with a stable temperature of 11.6 °C. Stalactite drip rates slow down 99

markedly during the fall (the driest season), but never stops completely, showing that 100

infiltration persists throughout the year (Genty et al., 2014).

101 102

3. Water sampling and tritium measurements 103

104

Rainwater was collected in a rain-gauge according to the procedure recommended by 105

the IAEA for the Global Network of Isotopes in Precipitation (at https://nucleus.iaea.org/wiser 106

/gnip.php). The rainwater samples were collected in 125 mL Pyrex bottles previously baked 107

and filled with argon. Tritium was monitored at two drip stations already used for collecting 108

stable isotope data : station #10A located in the upper level and station #1A located in the 109

(5)

lower level of the cave (Genty, 2008 ; Genty et al., 2014). Each drip station consists of a thin 110

stalactite (3–5 cm in length, 1 cm diameter) directly connected to the gallery roof. Dripwater 111

was also collected in 125 mL Pyrex bottles placed under each stalactite. The time needed to 112

collect the 50 grams of dripwater needed for the tritium analysis was from a few minutes to a 113

few hours depending on the drip rate.

114

Tritium was measured in our Saclay laboratory by 3He mass spectrometry (Jean- 115

Baptiste et al., 2010) with a typical uncertainty of ± 0.2 TU.

116 117

4. Results 118

119

4.1. Tritium in rainwater 120

121

The tritium content of rainwater at the Villars site was monitored from November 2008 to 122

March 2011 and again from July 2014 to February 2016 (Table 1). Tritium concentrations 123

measured during these two periods show a marked seasonal variability, with values ranging 124

between 2.1 TU and 8.9 TU. This seasonal pattern is similar to the one observed by the 125

IAEA tritium monitoring station in Orléans, located some 300 km to the north of the Villars 126

site (see Fig. 1), and can be described by a sine function with a weak long-term decreasing 127

trend (Fig. 2).

128 129

4.2. Reconstruction of the past history of tritium in rainwater at Villars Cave 130

131

The past history of tritium concentration in precipitation at the Villars site was 132

constructed from the IAEA Global Network of Isotopes in Precipitation database (at 133

https://nucleus.iaea.org/wiser/gnip.php). When it was available we used the nearest IAEA 134

station located in Orléans; however data from Orléans are discontinuous, with a first monthly 135

time-series from 1967 to 1979 and a second one covering the period 1996-2003. For these 136

two periods however the comparison with the results from the Thonon-les-Bains station, 137

located further east on Lake Geneva (see Fig. 1), is quite satisfactory (Fig. 3). Therefore, the 138

Thonon results were used before 1967 and to fill the gap between the two Orléans time- 139

series. Beyond 2003, the reconstruction of the tritium concentration in rainwater was based 140

on our own monitoring at the Villars site (2008-2011 and 2014-2016), with gaps in the data 141

being filled by interpolation using the sine function shown in Fig. 2. This sine function was 142

fitted to the data of Fig. 2 by simple visual agreement. It is the sum of two components (see 143

equation below) : the first one represents the exponential decrease of the mean value of 144

tritium in precipitation through time; the second one describes the annual (sinusoidal) 145

variability of tritium in precipitation, the amplitude of which also decreases with time, leading 146

to the following equation : 147

148

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TU = 9.0 exp[-0.035×(t-1996)] + [6.0 - 0.113 (t-1996)] sin[2π(t-1996.2)] exp[-0.02×(t-1996)]

149 150

4.3. Tritium in dripwater 151

152

The tritium concentrations of the two sampled drip sites are reported in Table 2. Tritium 153

values in the upper gallery (station #10A) are between 3.2 TU and 5.1 TU (average value : 154

4.2 TU). At station #1A located in the lower gallery, tritium values are 1 TU lower (average 155

value : 3.3 TU), ranging between 2.7 TU and 4.3 TU. As shown in Fig. 4, the variability of 156

tritium in dripwater is much less than in rainwater, showing that the karstic porous medium 157

through which rainwater percolates essentially acts as a low-pass filter. This is in agreement 158

with the stable isotope results of Genty et al. (2014) for the same drip sites, which also show 159

that the δ18O seasonal isotopic signal is strongly dampened during the infiltration process.

160 161

4.4. δ18O data and model input 162

δ18O in dripwater data are taken from Genty et al. (2014) and ongoing monitoring. After 163

2000, δ18O in precipitation data used in the model are also taken from the work of Genty et 164

al. (2014). Prior to the start of the monitoring of precipitation at the Villars site in 2000, the 165

δ18O of rainwater and monthly precipitation rate are taken as being the same as during the 166

decade 2000-2010 (see discussion at the end of §5).

167 168

In the following, we construct a simple one-dimensional model of the infiltration of 169

recharge waters forced by monthly precipitation and constrained by tritium and δ18O data, to 170

determine the infiltration time of the rainwater.

171 172

5. Description of the infiltration model 173

174

The complex permeability structure of karstic formations can result in infiltration times 175

between the surface and the drip site being highly variable: diffuse flow through micro- 176

fractures and interconnected porosity will lead to dampened seasonal variations while 177

preferential flow through larger fractures will be more sensitive to rainfall events and seasons 178

(Ford and Williams, 2007 ; Fairchild and Baker, 2012). Because of the high heterogeneity of 179

karstic systems, several types of water flow can coexist and interact. Describing water 180

movement through this heterogeneous medium is a complex problem. Our approach here is 181

to envision the simplest possible physical model that might explain the measured tritium 182

concentrations at the drip sites #10A and #1A, as well as the results of the still ongoing δ18O 183

monitoring at the same locations.

184

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δ18O has been monitored in Villars Cave (Genty et al., 2014) at four points : #10A and 185

#10B in the upper gallery, and #1A and #1B in the lower gallery. Among the many results 186

based on this monitoring (Baker et al., 2000 ; Genty, 2008 ; Genty et al., 2014), three 187

observations are particularly important for the model design : 188

1) All four stations display a quite stable δ18O composition, with a substantial dampening 189

of the seasonal variations. This suggests that the residence time and mixing of the water 190

feeding the dripping stalactites are high enough to filter out high frequency (seasonal) 191

signals.

192

2) The lower gallery has a mean δ18O value 0.2 permil lower than that of the upper 193

gallery. A first hypothesis put forward by Genty et al . (2014) is that this difference could be 194

due to the contribution of an older reservoir consisting of rainwater that precipitated several 195

decades ago when the averaged outside temperature was lower (by about 2–3 °C) yielding a 196

lower precipitation δ18O. However, the tritium value of this old water reservoir would likely be 197

higher than in present-day precipitation due to the large bomb-tritium peak found in earlier 198

decades ; this is inconsistent with the tritium values at #1A which are low. Therefore, a 199

second more likely explanation put forward by Genty et al. (2014), is that during the high 200

winter recharge periods, when the rainfall δ18O is lower, water from the upper level overflows 201

to the lower level. This second hypothesis is that retained for the construction of our model.

202

3) Although upper gallery stations #10A and #10B are only a few meters apart, their 203

hydraulic behavior is different : station #10A shows a higher sensitivity of the dripping rate to 204

rainfall events than #10B and also displays a more variable δ18O isotopic composition (Genty 205

et al., 2014) and chemical and luminescent properties (Baker et al., 2000). This is likely the 206

consequence of the heterogeneity of the fissure network superimposed on the bulk 207

percolation. These fissures act as a by-pass connecting some dripping stalactites more 208

directly to the surface.

209

Based on the above observations, our model consists of two reservoirs : a small (10 210

meters) reservoir extending from the surface to the upper gallery and a larger reservoir (25 211

meters) extending from the surface down to the lower level (Fig. 5). The upper parts of the 212

two reservoirs are connected to allow water to overflow from the small upper gallery reservoir 213

to the second larger one during high recharge periods (see above point 2). The cut-off value 214

(i.e. the value above which the overflow from the upper reservoir to the lower reservoir is 215

allowed to occur) is tuned as to obtain the right value for the δ18O of dripwater in the lower 216

gallery (see §6 below). Both reservoirs consist of a network of interconnected pores (void 217

fraction = ω) through which rainwater can percolate. The downward advection rate is defined 218

by the fraction β of the rainfall rate R which percolates through the reservoir. The remaining 219

fraction, (1-β) is considered either as surface runoff or water which drains through large 220

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fissures and does not participate in the dripping system. In addition, each drip site has a 221

direct connection to the surface to allow a small fraction of rainwater to mix with the dripwater 222

exiting from each reservoir (see above point 3). These direct contributions to dripwaters of 223

the upper and lower galleries are determined as to fit their observed δ18O variability (see §6 224

below).

225

The time-evolution of the tritium and 18O vertical distributions across each reservoir is 226

described by the following classic mass balance equation (1), which is solved numerically 227

with vertical steps z = 1 m and using a time step t = 1 month : 228

C(z,t+t) = (C(z,t) + R(β/ω)(t/z) [C(z-z,t)- C(z,t)] ) exp(-λt) (1) 229

where C(z,t) is the concentration (in mol.m-3) of tritium : C=(106/18)×2×TU×10-18 (with the 230

decay constant λ=0.0563 s-1) or 18O : C= (106/18)×(2000×10-6)×(1+δ18O/1000.) (with λ=0) at 231

depth z and time t and R is the monthly precipitation rate. Since the above numerical scheme 232

is implicitly diffusive, no additional explicit diffusion is considered here (see section 6 below).

233

Although the parameters β and ω are not known, they only appear as their ratio, as 234

shown in equation (1). As a consequence, the void fraction ω is set arbitrarily to a plausible 235

value of 0.3 and the value of β is optimized to obtain the best fit between the tritium data and 236

the model simulation.

237

The simulation starts in 1965. As indicated in §4.4, after 2000 δ18O in precipitation data 238

used in the model are taken from the work of Genty et al. (2014) and ongoing monthly 239

monitoring. Prior to the start of the monitoring of precipitation at the Villars site in 2000, the 240

δ18O of rainwater and monthly precipitation rate are taken as being the same as during the 241

decade 2000-2010. This is an approximation since in the δ18O of rainwater in the past may 242

have been slighty lower due to the somewhat colder climate in the 60’s and 70’s (Genty et 243

al., 2014). However, based on our tritium results, the model shows that the transit time of the 244

dripping water is on the order of 10 years (see below). Therefore the uncertainty in the δ18O 245

composition of rainwater in the past decades (1965 –1990) has no influence on the simulated 246

δ18O in dripwater after 2000.

247 248

6. Model results and discussion 249

250

The results of the simulation for the upper and lower galleries are shown in Fig. 6a and 251

Fig. 6b, respectively.

252

Because z is not infinitesimally small, the numerical scheme used in the simulation 253

(see equation 1) is implicitly diffusive since at each time step the concentration in each layer 254

z is well mixed. Using a spike of numerical tracer, we infer an implicit hydrodynamic 255

dispersion coefficient DL= 2.5×10-8 m2 s-1 by comparing the actual widening of the spike at 256

(9)

the exit of the reservoir with what would be obtained from a purely diffusive process (Ferziger 257

and Peric, 2002). For a pore water velocity βR/ω 5×10-8 m.s-1, this corresponds to a 258

longitudinal dispersivity (i.e., in the direction of the flow) αL DL/v = 0.5 m (Fried and 259

Combarnous, 1971 ; Sahimi, 1995). This value is well within the range of typical longitudinal 260

dispersivities observed for porous media and fractured rocks (Gelhar et al., 1992; Schulze- 261

Makuch, 2005). Therefore, no additional explicit diffusion was considered here.

262

The agreement with the data is quite satisfactory considering the simplicity of the model 263

physics, the uncertainties in the precipitation rate and δ18O of rainwater prior to 2000 (see 264

above), and the uncertainty in the reconstruction of the tritium input function. The main 265

contribution of the tritium data is to allow us to determine the fraction β of the rainwater that 266

actually infiltrates through the karstic formation, which in turn determines the transit time of 267

the water. On the other hand, δ18O data are most useful to determine the value above which 268

the overflow from the upper reservoir to the lower reservoir is allowed to occur (cut-off value) 269

as well as the direct contributions of rainwater to the dripwater in the upper and lower 270

galleries.

271

With a cut-off value of 150 mm per month (i.e. the value above which the overflow from 272

the upper reservoir to the lower reservoir is allowed to occur), the model reproduces well the 273

average δ18O values observed both in the upper and the lower galleries (note, however, that, 274

in the range 130-170 mm, the fit is rather insensitive to the choice of this cut-off value). For 275

the upper gallery (drip station #10A), a direct contribution of surface rainwater to the 276

dripwater of 15% is necessary to account for the observed variability in the δ18O data 277

(Fig. 6a). For the lower gallery (station #1A), this direct contribution is less than 5% (Fig. 6b).

278

The amount of rainwater that percolates through both reservoirs is about half the total 279

precipitation (β=40% for the upper reservoir and β=60% for the lower one). This β parameter, 280

adjusted as to fit the tritium data, is the one that sets the transit time of the infiltrating waters 281

between the surface and the drip sites.

282 283

This transit time, determined using of a spike of numerical tracer, is 7.0 years for the 284

upper gallery and 11.1 years for the lower gallery. The estimated uncertainty on the age 285

determination is ±0.5 yr. For the upper gallery, the transit time of 7.0 years is in excellent 286

agreement with 14C measurements in a young stalagmite which indicate that the time lag 287

between the start of the bomb 14C peak in the atmosphere and in the stalagmite carbonate is 288

7.0±0.5 years (see Fig. 23 in Genty, 2008).

289

Our results complement and precise the previous findings of Genty et al. (2014) based 290

on the study of δ18O only : 291

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- Our model shows that the hypothesis of an overflow from the upper to the lower 292

reservoir explains well the observed δ18O shift of -0.2 permil between the upper and lower 293

galleries.

294

- The observation that the isotopic variability of cave dripwaters was substantiallly 295

dampened compared to that of monthly precipitation led Genty et al. (2014) to suggest that 296

Villars cave drip waters were a mixing of rainwaters corresponding to an integratetion of 297

weighed rainfalls over several years. This "mixing time" has to be clearly distinguished from 298

the transit time of the dripwaters across the karstic formation inferred from tritium data in the 299

present study. The mixing time deduced from studies using only δ18O data (Genty et al., 300

2014 ; Mischel et al., 2015) relies on the oversimplified assumption of a well-mixed reservoir.

301

In our piston flow-type model on the contrary, the reservoir is not well-mixed but during its 302

transit time through the karstic formation, water get mixed on its way down due to 303

hydrodynamic dispersion, thus explaining the substantial dampening of the initial isotopic 304

variability. Therefore, the relationship between the two notions of "mixing time" and "transit 305

time" is not straightforward because the initial hypothesis concerning the structure of the 306

reservoir are chiefly different.

307

Tracer studies reported in the literature (Yonge et al., 1985; Chapman et al., 1992;

308

Kaufman et al., 2003; Kluge et al., 2010; Oster et al., 2012 ; Gasiorowski et al., 2015) show 309

that the delay between rainfall and the discharge of the dripwater is extremely variable from 310

one cave to another, ranging from weeks to years and even decades. At sites with rather fast 311

percolation, seasonal variations and meteorological events such as droughts may be 312

recorded in speleothems. At the Villars site, in spite of the shallow depth of the cave, the 313

infiltration time is relatively long. Therefore, because of the resulting strong dampening of the 314

seasonal to multi-annual variations, the Villars Cave speleothems will likely archive climate 315

variability on the multi-decadal to millennial scale, as illustrated by the study of millennial 316

climatic variability during the paleoclimatic stages OIS3 and OIS4 (Genty et al., 2003 ; 2010) 317

and longer climatic cycles (Wainer et al., 2011).

318 319

7. Conclusion 320

321

We have monitored the tritium content of rainwaters and dripwaters at the Villars site 322

from November 2008 to March 2011 and again from July 2014 to February 2016 in order to 323

determine the transit time of the infiltrating waters between the surface and the drip 324

observation sites. Two drip stations, already used for the monitoring of stable isotopes, were 325

selected : one station located in the upper gallery (10 m deep)and one station located in 326

the lower gallery (25 m deep). The main results of our study are as follows : 327

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Tritium concentration in rainwater shows a marked seasonal variability, with values 328

ranging between 2.1 TU and 8.9 TU. This seasonal pattern is similar to the one observed at 329

the IAEA tritium monitoring station in Orléans, located some 300 km to the north of the Villars 330

site.

331

Tritium values in the upper gallery are between 3.2 TU and 5.1 TU (average value : 332

4.2 TU) while in the lower gallery they are on average ∼1 TU lower (average value : 3.3 TU).

333

The seasonal variability of tritium in dripwater is almost completely dampened compared to 334

that in rainwater, showing that the karstic porous medium through which the rainwater 335

percolates essentially acts as a low-pass filter, in agreement with the stable isotope results of 336

Genty et al. (2014) for the same drip sites.

337

The infiltration time of the rainwater was determined using a simple one-dimensional 338

model of the infiltration of recharge waters, forced by monthly precipitation and tritium 339

concentrations in precipitation reconstructed from the IAEA isotope network and our own 340

measurements in rainwater at the Villars site. The transit time of the dripwater across the 341

karstic formation was found to be 7.0 years for the upper gallery and 11.1 years for the lower 342

gallery, with an uncertainty estimated at ±0.5 yr.

343

For the upper gallery where 14C measurements in a young stalagmite are available, the 344

transit time determined using tritium is in excellent agreement with the time lag between the 345

start of the bomb 14C peak in the atmosphere and in the stalagmite carbonate.

346 347

Acknowledgments 348

349

This research was funded by the french CNRS (Centre National de la Recherche 350

Scientifique).

351 352

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Figure captions 456

Fig. 1 : Villars Cave location.

457

Fig. 2 : Decreasing sine function used to interpolate between the IAEA tritium data (Orléans 458

station, in red) and our own measurements at the Villars site (in blue).

459

Fig. 3 : Comparison of the IAEA rainwater tritium time-series in Thonon-les-Bains (in black) 460

and Orléans (in red).

461

Fig. 4: Tritium measurements in Villars Cave. Blue squares and red circles correspond to the 462

upper gallery (drip station #10A) and lower gallery (drip station #1A), respectively. The black 463

curve is the reconstructed tritium concentration in precipitation at the Villars site.

464

Fig. 5 : Sketch of the model (see §5 for details).

465

Fig. 6a : Comparison between model simulation and δ18O and tritium data at drip station 466

#10A (upper gallery). The smooth curves represent the model result without the additional 467

direct contribution from surface waters. δ18O data come from the ongoing monitoring of stable 468

isotopes in Villars Cave (Genty et al., 2014).

469

Fig. 6b : Comparison between model simulation and δ18O and tritium data at drip station #1A 470

(lower gallery). The smooth curves represent the model result without the additional direct 471

contribution from surface waters. δ18O data come from the ongoing monitoring of stable 472

isotopes in Villars Cave (Genty et al., 2014).

473 474 475

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Table captions 476

Table 1 : Tritium results for rainwater at the Villars site.

477

Table 2 : Tritium results for dripwater in Villars Cave.

478

(18)

Orléans

Villars cave

Thonon- Les-Bains ATLANTIC

OCEAN

Figure 1

100 km

(19)

YEAR

TRITIUM IN RAIN WATER (TU)

Fig. 2

2000 2005 2010 2015

0 4 8 12 16

(20)

1960 1970 1980 1990 2000 2010 1

10 100 1000 10000

YEAR

TRITIUM IN RAIN WATER (TU)

Fig. 3

(21)

2000 2004 2008 2012 2016 2020 0

5 10 15

YEAR

TRITIUM (TU)

Fig. 4

(22)

Overflow R(1-β2) R = Monthly precipitation rate

R(1-β1) Rβ1

Rβ2

Upper gallery drip site

Lower gallery drip site

Direct contribution from rainwater

Direct contribution from rainwater

Figure 5

(23)

YEAR TRITIUM (TU)δ18 O (permil)

Fig.6a

-7 -6 -5

2000 2004 2008 2012 2016 2020

2

4

6

8

10

(24)

YEAR TRITIUM (TU)δ18 O (permil)

Fig.6b

-7 -6 -5

2000 2004 2008 2012 2016 2020

2

4

6

8

10

(25)

Sampling date Tritium (TU) 19/10/2008 - 28/11/2008 3,93 20/03/2009 - 24/05/2009 6,02 24/05/2009 - 16/06/2009 7,65 16/06/2009 - 17/07/2009 5,09 17/07/2009 - 04/08/2009 5,36 04/08/2009 - 07/09/2009 7,04 07/09/2009 - 21/10/2009 4,53 21/10/2009 - 04/11/2009 2,12 04/11/2009 - 17/11/2009 2,51 17/11/2009 - 27/11/2009 2,33 27/11/2009 - 14/01/2010 3,47 14/01/2010 - 19/01/2010 3,57 19/01/2010 - 22/02/2010 3,50 22/02/2010 - 04/03/2010 4,48 04/03/2010 - 13/04/2010 5,77 13/04/2010 - 26/04/2010 8,91 26/04/2010 - 04/06/2010 5,29 27/09/2010 - 03/11/2010 3,36 03/11/2010 - 30/11/2010 2,16 30/11/2010 - 27/01/2011 3,87 27/01/2011 - 31/01/2011 5,72 31/01/2011 - 22/02/2011 3,27 22/02/2011 - 02/03/2011 3,49 21/05/2014 - 02/07/2014 6,91 16/08/2014 - 10/10/2014 2,99 10/10/2014 - 29/10/2014 2,97 23/11/2014 - 27/01/2015 3,56 27/03/2015 - 29/04/2015 3,62 29/04/2015 - 03/06/2015 2,81 03/06/2015 - 27/07/2015 6,90 27/07/2015 - 10/09/2015 5,33 10/09/2015 - 05/10/2015 3,69 05/10/2015 - 23/11/2015 2,28 21/01/2016 - 25/02/2016 2,51

Table 1

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Villars 10#A Villars 1#A

Sampling date Tritium (TU) Sampling date Tritium (TU)

29/01/2009 4,38 29/01/2009 3,92

19/03/2009 4,67 19/03/2009 4,16

22/06/2009 4,36 29/11/2010 4,30

02/07/2009 4,37 30/11/2010 4,22

17/07/2009 4,15 26/01/2011 3,88

01/08/2009 4,38 15/03/2011 3,77

17/08/2009 4,18 01/07/2014 3,44

09/09/2009 4,40 10/10/2014 3,53

22/09/2009 4,67 29/10/2014 3,80

25/10/2009 4,74 27/01/2015 3,39

03/11/2009 4,40 27/01/2015 3,35

18/11/2009 4,55 28/03/2015 3,17

29/11/2009 4,54 29/04/2015 3,15

11/01/2010 4,10 03/06/2015 3,26

19/01/2010 4,25 03/06/2015 3,03

02/02/2010 4,21 27/07/2015 2,96

22/02/2010 4,29 10/09/2015 3,02

04/03/2010 4,34 05/10/2015 2,76

13/04/2010 4,03 19/01/2016 2,88

26/04/2010 4,22 25/02/2016 2,79

11/05/2010 4,32 18/03/2016 2,68

31/05/2010 4,23 23/06/2016 2,70

05/07/2010 4,42 23/09/2016 2,93

30/08/2010 4,29 12/09/2010 4,23 15/09/2010 4,17 04/10/2010 4,24 19/10/2010 4,53 03/11/2010 5,06 29/11/2010 4,14 23/01/2011 3,98 26/01/2011 4,33 31/01/2011 4,23 15/03/2011 4,17 01/07/2014 3,83 27/01/2015 4,28 05/10/2015 3,84 19/01/2016 3,44 25/02/2016 3,57 23/06/2016 3,83 23/09/2016 3,21

Table 2

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