Introduction

The distribution and geochemical behavior of uranium (U) in aquatic environments have been investigated by many researchers. The interest in this subject is primarily attributable to the geoscientific significance of U as a tracer for dating various oceanographic processes (e.g., Broecker and Peng 1982) and estimating the sources of dissolved solutes in river basins (Chabaux et al. 2001, 2008; Ryu et al. 2009). In addition, investigations of naturally occurring U behavior within the hydrosphere, particularly in limnetic areas, have become more important recently because naturally occurring U can be useful as an analogue for predicting the transport and fate of anthropogenic U in natural waters following its release from nuclear materials and wastes.

U in oxygenated natural waters usually takes the form of a uranyl ion (UO2 2+), which forms carbonate complexes such as UO2(CO3) 2−2 and UO2(CO3) 4−3 within a neutral or alkaline pH range (Langmuir 1978). Dissolved U shows vertically uniform distribution in oxygenated seawater (Ku et al. 1977; Delanghe et al. 2002) and lake water (Falkner et al. 1991) due to the good solubility of these complexes. In addition, the formation of calcium–uranyl-carbonate complexes [CaUO2(CO3) 2−3 and Ca2UO2(CO3) 03 (aq)] has also been suggested recently (Kalmykov and Choppin 2000; Bernhard et al. 2001). Thermodynamic calculations suggest that the Ca2UO2(CO3) 03 (aq) complex may be the predominant aqueous species of dissolved U (IV) (Bernhard et al. 2001; Dong et al. 2005). Dong and Brooks (2006) found that not only calcium but also other alkaline earth metals (magnesium, strontium, and barium) form complexes with uranyl and carbonate ions. Those studies indicate that complexation with carbonate and alkaline earth metal ions, particularly calcium ions, is an important factor controlling the geochemical behavior of U in natural aquatic environments.

The geochemical behavior of U is also controlled by the redox condition of the water. Under strongly anoxic conditions, U (VI) can be reduced to U (IV). Since U (IV) tends to precipitate as insoluble species such as UO2 (Langmuir 1978), a decrease of dissolved U concentration with depth can be observed in strongly reducing environments, such as the anoxic bottom water of the Black Sea (Anderson et al. 1989), the brine in the Mediterranean Sea (Van der Weijden et al. 1990), and pore water in oceanic littoral sediment (Klinkhammer and Palmer 1991).

An interesting distribution of dissolved U has been observed in the well-oxygenated, monomictic Lake Biwa in Japan. Dissolved U concentration in surface water during summer was approximately double that observed in bottom water (Takaku et al. 2003; Sakamoto et al. 2004). To the best of our knowledge, such an epilimnion-dominated distribution of dissolved U differs from the vertically homogeneous profiles observed in seawater (Ku et al. 1977; Delanghe et al. 2002) and lake water (Falkner et al. 1991), and has not been reported previously in oxygenated natural waters. The epilimnion-dominated distribution of dissolved U concentration can be interpreted as indicating either the removal of U from the bottom layer or supply to the surface layer (Sakamoto et al. 2004). However, the detailed mechanisms of such distribution are unknown, because U distribution throughout the year, and its mass balance in the lake, have not been established.

We previously reported the characteristic distribution of dissolved vanadium and tungsten in Japanese lakes including Lake Biwa (Sugiyama 1989; Harita et al. 2005). Similar to U, these elements also showed epilimnion-dominated distribution in summer, which was attributed to the desorptive/adsorptive processes between water/littoral sediment induced by the variation in lake water pH (Harita et al. 2005). Therefore, it is expected that the characteristic distribution of U in Lake Biwa results from a similar mechanism.

The present study found unexpected vertical profiles and seasonal variations of dissolved U concentration in Lake Biwa. In order to elucidate the mechanisms for this seasonal variation, we measured U concentration in the watershed of the lake and calculated its mass balance in the lake using our concentration data in combination with previously reported hydrological data. In addition, we investigated empirically the behavior of U between water and sediment. From these results, we propose desorption/adsorption of U from/onto the solid phase (i.e., sediment and suspended particulate matter) in response to variations in water pH as a likely mechanism for the seasonal variation in U concentration.

Studied lake

The characteristics of the study site are as follows (Somiya 2000). Lake Biwa is the largest lake in Japan, and is located at 35°15′N, 136°05′E. Geographically, it consists of northern and southern basins. The northern basin is the main basin and has a surface area of 616 km2 and a capacity of 27.3 km3. Its average and maximum depths are 43 and 104 m, respectively. In this basin, thermal stratification usually occurs from late April to early January (stagnation period), and vertical mixing of the lake water occurs regularly from late January to early April (circulation period). Although approximately 110 rivers flow into the northern basin, it has no direct outflow river; instead, water from the northern basin passes first into the southern basin.

The southern basin has a surface area of 58 km2 and capacity of 0.2 km3, with average and maximum depths of 3.5 and 8 m, respectively. Water in the southern basin outflows via one river (Seta River) and three channels (two Biwako-Sosui canals and Uji power plant canal) located in the basin.

Materials and methods

Sampling

We carried out monthly observations at Lake Biwa from February 2011 to February 2013. The sampling station was Ie-1 (73 m depth, 35°13′N, 136°00′E), located in the northern basin (Fig. 1). We collected water samples vertically using a Niskin water sampler. The samples were immediately filtered aboard the research vessel, using a 0.45-µm polyvinylidene fluoride filter Millex® (Millipore) attached to a polypropylene (PP) syringe. We washed the filter with the water sample before filtrating. We have confirmed that this filtration process does not contaminate filtrates. The filtrates were stored in low-density polyethylene (LDPE) bottles (Nalgene) and were acidified to pH 2 by adding ultrapure nitric acid (60 %, Kanto Kagaku). We measured WT and dissolved oxygen (DO) concentration using a multi-water quality profiler, ASTD-101 (JFE ALEC), and measured pH via the colorimetric method.

Fig. 1
figure 1

Location of sampling stations. 1 Yasu River, 2 Hino River, 3 Echi River, 4 Uso River, 5 Inukami River, 6 Seri River, 7 Amano River, 8 Ane River, 9 Yogo River, 10 Ohura River, 11 Chinai River, 12 Ishida River, 13 Ado River, 14 Kamo River, 15 Ukawa River, 16 Wani River, 17 Wakamiya Spring, 18 Oe Spring, 19 Sansyaku Spring, 20 Kyoto University

In order to estimate the input of U from the watershed, we sampled river, spring, and rain waters in or near the watershed of Lake Biwa. We sampled river waters flowing into the northern basin in May 2012 (14 rivers) and May 2013 (11 rivers). Based on the discharge data from Kunimatsu (1981), the sum of the discharge of the rivers sampled in respective years accounts for 64 and 56 % of total riverine inflow to the northern basin. We also collected spring waters around the lake in May 2012 (1 spring) and May 2013 (3 springs). We assumed that the quality of water from these springs was the same as the groundwater flowing directly into the lake. Moreover, we collected rainwater twice during July 2012. We fixed a funnel to an LDPE bottle and placed it on the roof of a 30-m tall building (Kyoto University) located 7 km southwest of the lake. The amount of precipitation was calculated by the volume of the collected rainwater and the area of the funnel mouth. These water samples were filtered and acidified in the same way as the lake water. All the sampling sites are shown in Fig. 1.

All the equipment and vessels used for sampling, filtration, and storage (except for the Millex® filter) were previously cleaned by soaking them in 10 % Scat detergent (Nacalai Tesque) and 4 mol l−1 HNO3 (Nacalai Tesque), followed by rinsing with purified water from a Milli-Q (Millipore) system (hereafter, MQW).

Analytical methods

The concentration of dissolved U in lake, river, spring, and rain waters was determined by inductively coupled plasma mass spectrometry (ICP–MS), using bismuth as an internal standard element (Mochizuki and Sugiyama 2012). Into a polyethylene centrifuge tube contained 10 ml of either the sample or standard solution, 100 μl of bismuth stock solution and 100 µl of ultrapure nitric acid (60 %) were spiked.

The standard solution of U was prepared by diluting an ICP–MS multi-element standard of 10 mg-U l−1 (ICP–MS Quality Control Sample 2, Merck) to the desired concentration with the MQW. The internal standard bismuth stock solution was prepared by diluting a bismuth standard solution of 1 g l−1 (Wako Junyaku Kogyo) to 1 mg l−1 (4.8 µmol l−1) with the MQW. We obtained the concentration of U in a sample solution using the ionic count ratio of 238U/209Bi, established via ICP–MS (Element 2, Thermo Fisher Scientific).

We evaluated the detection limit, accuracy, and precision of our method (Mochizuki and Sugiyama 2012). The detection limit of U was 1.6 pmol l−1 (n = 10, signal/noise ratio was 3.28). The U concentration in a certified reference material of river water (JSAC 0302-3, The Japan Society for Analytical Chemistry) was 13 ± 0.5 pmol l−1 (n = 10), which agreed with the certified value of 13 ± 0.4 pmol l−1 (3.1 ± 0.1 ng l−1). The relative standard deviation for the measurement of 126 pmol l−1 (30.0 ng l−1) U standard solution was 1.03 % (n = 10). We therefore concluded that our analytical method is reliable.

For the calculation of dissolved U speciation in the lake water, the concentrations of major cations (Na+, K+, Mg2+, and Ca2+) and major anions (Cl, SO4 2−, and alkalinity) were also determined. Major cations were determined in lake water samples collected from February 2011 to December 2012. The concentrations of Na+ and K+ were determined via atomic adsorption spectrometry (AA-845, Japan Jarrel Ash), and those of Mg2+ and Ca2+ via inductively coupled plasma atomic emission spectrometry (Optima 5300DV, PerkinElmer). Since we rarely collected samples for anion determination (without acid addition), major anions were determined in lake water samples collected in May 2010 (only alkalinity), November 2011, May 2013 (only Cl and SO4 2−), September 2013, and July 2014. The concentrations of Cl and SO4 2− were determined via ion chromatography (L-7000 series, Hitachi and TSKgel IC-Anion-PW column, Tosoh), and alkalinity by acid titration (0.05 mol l−1 H2SO4) to pH 4.8 (Stumm and Morgan 1996).

Laboratory experiment

A laboratory experiment was conducted to investigate the effect of pH variation on the distribution of dissolved U between lake water and sediment. A schematic of the experimental system is shown in Fig. 2. The system consisted of two parts: a water tank and gas controller. The tank (24 cm width, 16 cm depth, 28 cm height) contained approximately 1000 cm3 of sediment collected on the boundary of the two lake basins (7 m depth). Ten liters of lake water collected from a depth of 40 m at Ie-1 was filtered through a 0.4-µm Nuclepore® filter (Whatman) and 0.1 mol sodium azide (NaN3) was added to prevent biological activity. The water was then gently poured onto the sediment. The tank was kept in darkness at a constant temperature (25 °C). The pH of the lake water was controlled by bubbling carbon dioxide (CO2) gas and CO2-free air. The CO2 gas was supplied by a cylinder and the CO2-free air was prepared by passing natural air through 3 mol l−1 potassium hydroxide (KOH) solution and MQW. The pH value of the lake water was varied by controlling CO2 pressure.

Fig. 2
figure 2

Schematic of experimental setup for the behavior of uranium between water and sediment

The experimental period (13 days) was divided into three sub-periods. In the first period (period 1; 0.0–4.0 days), the pH of lake water was maintained at approximately 7.0 (the value usually observed throughout the water column during the circulation period) by bubbling of CO2 gas (5 ml min−1) and CO2-free air (1.5 l min−1). In the second period (period 2; 4.0–10.2 days), pH was raised to around 8.5 (usually observed value in the epilimnion during summer) by bubbling CO2-free air (1.5 l min−1). In the third period (period 3; 10.2–13.0 days), the pH was decreased and maintained at 7.0 as in period 1. In each period, samples were collected 6, 12, and 6 times, respectively. In each sampling time, two aliquots of 25 ml sample water were taken from the tank by a PP syringe. The samples were immediately filtered using Millex® filters, and nitric acid was added to the filtrates. The concentrations of dissolved U in the samples were determined by the method described above.

Model calculation

In order to elucidate the mechanism for seasonal variation of U concentration in Lake Biwa, we calculated the daily mass balance of U in the lake during the stagnation periods. The model was applied only to the epilimnion of the northern basin and the following were assumed: (1) water from the watershed flows into the epilimnion but never directly into the hypolimnion, and outflow of lake water from the northern to the southern basin comes from the epilimnion of the northern basin alone; (2) lake water in the epilimnion and the hypolimnion are mixed by the daily change in depth of the thermocline during the stagnation period, but the water and chemical components do not diffuse across the thermocline; (3) dissolved U concentration is constant in the epilimnion within a given day, because the change in U mass in the epilimnion is homogenized quickly throughout the entire water layer.

Prior to estimating the U mass balance, we calculated the monthly balance of water flow. The balance throughout the entire lake (northern and southern basins) is represented as follows:

$$ Q_{\text{WR}} + Q_{\text{WG}} + Q_{\text{WP}} = Q_{\text{WO}} + Q_{\text{WE}} + \Delta V_{\text{W}} , $$
(1)

where Q WR, Q WG, and Q WP represent the monthly inflow to the entire lake system from rivers, groundwater, and precipitation, respectively; Q WO is the monthly discharge from the southern basin to the Seta River and three canals; Q WE is the monthly evaporation rate; and ΔV W is the monthly volume change of the lake water. The discharge to the Seta River, precipitation to the entire lake, and variation in water level for the entire lake are recorded daily by the Ministry of Land, Infrastructure, Transport, and Tourism (Biwako Office, Kinki Regional Development Bureau). In addition, average annual discharge from the three canals and average annual evaporation rate (Somiya 2000) and its monthly variation (Okamoto 1992) have been reported previously. Using these data together with the surface area of Lake Biwa (674 km2), monthly values were calculated for Q WP, Q WO, Q WE, and ΔV W. By substituting these values in Eq. (1), we obtained monthly values for Q WR and Q WG in combination. From this total, the respective values for Q WR and Q WG were presumed to be proportional to their annual average flow rates (11.5:1.0; Somiya 2000).

Since our mass balance calculation is focused on the northern basin, the flow rates into the entire lake should be apportioned between the northern and southern basins. The monthly precipitation rate to the northern basin (Q P), the monthly evaporation rate from the northern basin (Q E), and the monthly change of lake water volume in the northern basin (ΔV) were obtained via the surface area of the northern basin proportional to the entire lake (0.941) and the respective values of Q WP, Q WE, and ΔV W. The monthly inflows to the northern basin via rivers (Q R) and groundwater (Q G) were calculated similarly, using the riverine flow rate into the northern basin relative to the entire lake (0.914) obtained by Kunimatsu (1981) and the respective values of Q WR and Q WG. The monthly transfer from the northern to the southern basin (Q O) was calculated by substituting the above values into a water flow rate equation for the northern basin, represented as follows:

$$ Q_{\text{R}} + Q_{\text{G}} + Q_{\text{P}} = Q_{\text{O}} + Q_{\text{E}} + \Delta V. $$
(2)

Finally, each term in Eq. (2) was divided by the number of days in each month to obtain daily values. The daily inflow rate of river waters (Q R′), groundwater (Q G′) and precipitation (Q P′), the daily outflow rate (Q O′), and the daily evaporation rate (Q E′) are listed in Table 1.

Table 1 Daily inflow rate via river (Q R′), groundwater (Q G′), and precipitation (Q P′); daily riverine outflow rate (Q O′); and evaporation rate (Q E′) for the epilimnion of the northern basin during each month (×109 l day−1)

Using these rates and observed U concentrations, we simulated the U concentration change in the epilimnion during the stagnation period, from May to the following January, in 2011 and 2012. As shown in Fig. 3, daily change in the mass of dissolved U t days after the beginning of the calculation (ΔU t ; t represents natural numbers) is balanced to U input from riverine (UR), groundwater (UG), and precipitation inflow (UP), U supply from the hypolimnion (UH; UH ≤ 0 indicates the removal of U from the epilimnion to the hypolimnion), U supply from sediment in contact with the epilimnion (US; US ≤ 0 indicates the removal of U from the lake water to the sediment), and U output to the southern basin (UO). Therefore, the daily mass balance of U in the epilimnion during the stagnation period can be represented by the following:

$$ \Delta {\text{U}}_{t} = {\text{U}}_{\text{R}} + {\text{U}}_{\text{G}} + {\text{U}}_{\text{P}} + {\text{U}}_{\text{H}} + {\text{U}}_{\text{S}} - {\text{U}}_{\text{O}} . $$
(3)

In Eq. (3), ΔUt is transformed as follows:

$$ \Delta {\text{U}}_{t} = \left[ {\text{U}} \right]_{t} \times V_{{{\text{E}}t}} - [{\text{U}}]_{t - 1} \times V_{{{\text{E}}(t - 1)}} , $$
(4)

where [U] t and VEt represent the simulated concentration of dissolved U and the calculated volume of the epilimnion of the northern basin t days after the beginning of the calculation, respectively. The U concentrations on the first day of the modeling ([U]0) were assumed to be 76 pmol l−1 on 12 May 2011 and 99 pmol l−1 on 16 May 2012, based on the observed concentrations at 0 m depth. We also assumed that the thickness of the epilimnion varied linearly from day to day according to the monthly observed values, and V Et was obtained daily based on the thickness of the epilimnion and a depth–volume diagram of Lake Biwa produced by Okamoto (1992). The thickness and volume of the epilimnion on the observation days are shown in Table 2. Similarly, UR, UG, and UP in Eq. (3) can be transformed as follows:

$$ {\text{U}}_{\text{R}} = \left[ {\text{U}} \right]_{\text{R}} \times Q_{\text{R}}^{\prime } $$
(5)
$$ {\text{U}}_{\text{G}} = \left[ {\text{U}} \right]_{\text{G}} \times Q_{\text{G}}^{\prime } $$
(6)
$$ {\text{U}}_{\text{P}} = \left[ {\text{U}} \right]_{\text{P}} \times Q_{\text{P}}^{\prime } , $$
(7)

where [U]R, [U]G, and [U]P represent the average U concentration in river water, groundwater, and precipitation flowing into the northern basin, respectively (calculated in the following section). UH in Eq. (3) can be transformed in two ways according to the daily volume change of the epilimnion. When the volume of the epilimnion increases (V Et  > V E(t−1); Fig. 3a), it can be transformed as follows:

$$ {\text{U}}_{\text{H}} = \left[ {\text{U}} \right]_{\text{H}} \times (V_{{{\text{E}}t}} {-}V_{{{\text{E}}\left( {t - 1} \right)}} ), $$
(8)

where [U]H represents the U concentration in the hypolimnion. We assumed that [U]H from 12 May 2011 to 25 January 2012 was the same as the average U concentration in the hypolimnion on 12 May 2011 (69 pmol l−1), and that from 16 May 2012 to 16 January 2013 it was the same as that on 16 May 2012 (80 pmol l−1). Conversely, when the volume of the epilimnion decreases (V Et  < V E(t−1); Fig. 3b), UH can be transformed as follows:

$$ {\text{U}}_{\text{H}} = \left[ {\text{U}} \right]_{t - 1} \times (V_{{{\text{E}}t}} {-}V_{{{\text{E}}\left( {t - 1} \right)}} ). $$
(9)

The value of US in Eq. (3) will be discussed in the following section. Finally, UO in Eq. (3) is transformed as follows:

$$ {\text{U}}_{\text{O}} = \left[ {\text{U}} \right]_{t - 1} \times Q_{\text{O}}^{\prime } $$
(10)

When the thickness of the epilimnion increases, Eq. (3) can be transformed by using Eqs. (410) as follows:

$$ [{\text{U}}]_{t} = \frac{{[{\text{U}}]_{\text{R}} + Q_{\text{R}}^{\prime } + [{\text{U}}]_{\text{G}} \times Q_{\text{G}}^{\prime } + [{\text{U}}]_{\text{P}} \times Q_{\text{P}}^{\prime } + [{\text{U}}]_{\text{H}} \times (V_{{{\text{E}}t}} - V_{{{\text{E}}(t - 1)}} ) + {\text{U}}_{\text{S}} - [{\text{U}}]_{t - 1} \times Q_{\text{Q}}^{\prime } + [{\text{U}}]_{t - 1} \times V_{{{\text{E}}(t - 1)}} }}{{V_{{{\text{E}}t}} }} $$
(11)

Conversely, when the thickness of the epilimnion decreases, Eq. (3) can be transformed as follows:

$$ [{\text{U}}]_{t} = \frac{{[{\text{U}}]_{\text{R}} + Q_{\text{R}}^{\prime } + [{\text{U}}]_{\text{G}} \times Q_{\text{G}}^{\prime } + [{\text{U}}]_{\text{P}} \times Q_{\text{P}}^{\prime } + [{\text{U}}]_{t - 1} \times V_{{{\text{E}}t}} + {\text{U}}_{\text{S}} - [{\text{U}}]_{t - 1} \times Q_{\text{O}}^{\prime } }}{{V_{{{\text{E}}t}} }} $$
(12)

Using Eqs. (11) and (12), the daily values were calculated for [U] t during the stagnation period and compared with the U concentration measured at 0 m depth.

Fig. 3
figure 3

Schematic of uranium mass balance calculation for a stagnation period with increasing epilimnion volume and b stagnation period with decreasing epilimnion volume. ΔU t daily change in mass of dissolved uranium t days after the beginning of the calculation, U R uranium input from rivers, U G uranium input from groundwater, U P uranium input from precipitation, U S uranium input to/output from the sediment, U O uranium output to the southern basin, U H uranium input to/output from the hypolimnion

Table 2 Thickness and volume of epilimnion at Ie-1 on observation days

Results

Seasonal variations and vertical profiles in Lake Biwa

Seasonal variations in dissolved U concentrations at 0, 40, and 70 m depths at station Ie-1 are shown in Fig. 4. The data indicate that dissolved U concentration in the epilimnion of the northern basin shows a periodic variation: at 0 m depth, U concentration started to increase in spring, peaked in summer, and then decreased in autumn and winter. The minimum and maximum concentrations of U in 2011 were observed in February (65 pmol l−1) and September (139 pmol l−1), while those in 2012 were observed in February (75 pmol l−1) and August (152 pmol l−1), respectively. In contrast, dissolved U concentration at 40 m depth remained almost constant during the stagnation period and abruptly increased in January in both years, whereas that at 70 m depth gradually decreased during the stagnation period and showed an increase in February 2012 and January 2013. In general, U concentration at 40 m depth was greater than that at 70 m depth throughout the observation period.

Fig. 4
figure 4

Seasonal variation in dissolved uranium concentration at Ie-1 from February 2011 to February 2013

WT, pH, and DO concentrations observed at 0 m and 70 m depth are listed in Table 3, together with dissolved U concentrations. Similar to the U concentration, WT and pH at 0 m depth showed an increase from spring to summer and a decrease from autumn to winter. The pH values at 0 m depth during summer were considerably higher in 2012 than in 2011. The values of WT at 70 m depth were almost constant throughout the 2 years, while those of DO concentration and pH decreased during the stagnation period and then increased in the following January or February. At 70 m depth, the minimum DO concentration and saturation ratio during the observation period were recorded in January 2012 (135 µmol l−1 and 36 % saturation, respectively).

Table 3 Water temperature, pH, dissolved oxygen, and U concentrations at Ie-1

Vertical profiles for WT, pH, DO concentration, and dissolved U concentration in February, May, September, and November 2011 are shown in Fig. 5. All four variables showed vertically uniform distributions in February 2011 (Fig. 5a, e, i, m). The profiles of these variables were also vertically constant in March and April 2011, February and March 2012, and January and February 2013 (data not shown). As also shown in Fig. 4 and Table 3, WT, pH, and dissolved U concentration in the epilimnion were greater than those in the hypolimnion during May, September, and November 2011 (Fig. 5b–d, f–h, n–p). In addition, it is apparent from Fig. 5 that the remarkable changes in U concentration, WT, and pH occurred at the depth of the thermocline. The DO concentration during the stagnation period showed a completely different distribution pattern from those for the other three variables: it decreased near the thermocline and at the bottom, particularly in September and November (Fig. 5k, l).

Fig. 5
figure 5

Vertical profiles of water temperature (a, b, c, d), pH (e, f, g, h), dissolved oxygen concentration (i, j, k, l), and dissolved uranium concentration (m, n, o, p) at Ie-1 in February (a, e, i, m), May (b, f, j, n), September (c, g, k, o), and November (d, h, l, p) 2011

U concentrations in the watershed of Lake Biwa

U concentrations in river, spring, and rain waters in the Lake Biwa watershed are shown in Table 4. The concentration in river waters ranged from 13 pmol l−1 (Ishida River) to 952 pmol l−1 (Ukawa River). The water-discharge-weighted average concentration of U for river water ([U]R) was calculated as 184 pmol l−1 using the U concentrations determined in this study and water discharge data reported for each river (Kunimatsu 1981). Mito et al. (2004) determined U concentration in 14 rivers flowing into the northern basin from April 1996 to June 1998. They reported the water-discharge-weighted average concentration as 152 pmol l−1, which was broadly similar to our result. Sakamoto et al. (2004) also determined U concentration in 13 rivers in May, July, and November 2001. On the basis of their concentration data and the discharge data of Kunimatsu (1981), we calculated the water-discharge-weighted average values in the respective months as 106, 104, and 89 pmol l−1, which did not show clear seasonal variation.

Table 4 Uranium concentrations in river waters, spring waters, and rain waters in the Lake Biwa watershed (pmol l−1)

U concentrations in three spring waters were 3 pmol l−1 (Wakamiya Spring; the average of two samples collected in 2012 and 2013), 6 pmol l−1 (Oe Spring), and 2 pmol l−1 (Sansyaku Spring). The arithmetic average concentration of these spring waters ([U]G) was 4 ± 2 pmol l−1.

The concentrations in rainwater samples were 5 pmol l−1 (16 July 2012; precipitation was 3.8 mm) and 3 pmol l−1 (20 July 2012; precipitation was 3.1 mm). The precipitation-weighted average concentration of U in rain waters ([U]P) was 4 pmol l−1.

Experimental variation in U concentration

A laboratory experiment was conducted to examine the effects of pH on U distribution between water and sediment, using the setup shown in Fig. 2. The variation in pH observed in the experiment is shown in Fig. 6a, and the average U concentration of two samples collected simultaneously is shown with an error bar (standard deviation) in Fig. 6b. These results show that dissolved U concentration varied according to water pH. During period 1, the dissolved U concentration was almost constant (77 ± 12 pmol l−1); during period 2, it increased in response to the higher pH; and during period 3, pH decreased to 7.0 and dissolved U concentration also decreased. In addition, it appears that the changes in U concentration lagged behind the changes in pH.

Fig. 6
figure 6

Changes in a pH and b dissolved uranium concentration in lake water during the laboratory experiment. The error bars in b represent one standard deviation of the concentrations for two samples collected at the same time

Using the U concentrations, the water volume, and the bottom area of the water tank (384 cm2) in the experiment, the rates of U release (4.0–6.1 days) and assimilation (10.2–11.9 days) were calculated as 1.86 × 104 and 2.76 × 104 pmol m−2 day−1, respectively.

Discussion

In the northern basin of Lake Biwa, the dissolved U concentration at 0 m depth increased from spring to summer and decreased from autumn to winter (Fig. 4). In addition, Fig. 5 indicates that such seasonal variation in U concentration is restricted to the epilimnion. It is inferred from these results that U is supplied to the epilimnion from spring to summer, but is removed from autumn to winter. In contrast, U concentration at 40 m depth was almost constant during the stagnation period, whereas the concentration at 70 m depth decreased during the stagnation period in 2011 and from May to August in 2012. These findings suggest a process of removal of dissolved U at the bottom of the water column during the stagnation period. However, it is likely that the seasonal variation in U concentration within the epilimnion during the stagnation period is independent of such removal processes operating at the bottom. Therefore, in this paper, we will focus our discussion on the behavior of U in the epilimnion, and mechanisms for the removal processes at the bottom will be addressed in future studies.

Speciation of dissolved U in the lake water

In order to discuss the geochemical behavior of dissolved U in the lake, the chemical species of the U in the lake water was estimated using chemical thermodynamic computation software MINEQL+ (ver. 4.6; Schecher and McAvoy 2006) and its database. The calcium–uranyl-carbonate species [CaUO2(CO3) 2−3 and Ca2UO2(CO3) 03 (aq)] and the magnesium–uranyl-carbonate species [MgUO2(CO3) 2−3 ] were also included into the estimation using the formation constants of these species [shown in reactions (13–15)] by Dong and Brooks (2006).

$$ {\text{Ca}}^{ 2+ } + {\text{UO}}_{ 2}^{ 2+ } + 3 {\text{CO}}_{ 3}^{ 2- } \rightleftharpoons {\text{CaUO}}_{ 2} \left( {{\text{CO}}_{ 3} } \right)_{ 3}^{ 2- }\, { \log }K = 2 7. 1 8 $$
(13)
$$ 2 {\text{Ca}}^{ 2+ } + {\text{UO}}_{ 2}^{ 2+ } + 3 {\text{CO}}_{ 3}^{ 2- } \rightleftharpoons {\text{Ca}}_{ 2} {\text{UO}}_{ 2} \left( {{\text{CO}}_{ 3} } \right)_{ 3}^{0} \left( {\text{aq}} \right)\,{ \log }K = 30. 70 $$
(14)
$$ {\text{Mg}}^{ 2+ } + {\text{UO}}_{ 2}^{ 2+ } + 3 {\text{CO}}_{ 3}^{ 2- } \rightleftharpoons {\text{MgUO}}_{ 2} \left( {{\text{CO}}_{ 3} } \right)_{ 3}^{ 2- } \,{ \log }K = 2 6. 1 1 $$
(15)

For the calculation of U speciation in the lake, the concentrations of major ions at 0 m depth were determined. The minimum, maximum, and mean values and the relative standard deviations are shown in Table 5. Although the number of samples for major anions (n = 4) is smaller than that of cations (n = 23), the concentration ranges were narrow and the relative standard deviations were small (at most 5.5 %) for all major ions, which indicates that their concentration was almost constant throughout the year. The constancy of major ion concentrations in the lake has also been reported by Fujinaga and Hori (1982), Mito et al. (2004), and Sugiyama et al. (2005). Therefore, we assumed that the values in Table 5 are representative of the average concentrations of major ions in the lake. Using these values and the average U concentration at 0 m depth (103 pmol l−1), the relationship between the water pH and U species was calculated.

Table 5 Major ion concentrations in Lake Biwa at 0 m depth

The result of this calculation is shown in Fig. 7. Within the pH range of 7–10, the predominant U species is CaUO2(CO3) 2−3 . At pH 7.0 both Ca2UO2(CO3) 03 (aq) and UO2(CO3) 2−2 are also major species, but with pH increase, the percentage of Ca2UO2(CO3) 03 (aq) increases while that of UO2(CO3) 2−2 decreases. Precipitation of calcite occurs at pH 8.7, and the predominance of CaUO2(CO3) 2−3 over other U species becomes greater at pH > 8.7. The formation of UO2CO 03 (aq) is negligible, and UO2(CO3) 4−3 and MgUO2(CO3) 2−3 are minor species within the pH range.

Fig. 7
figure 7

Aqueous uranium speciation as a function of pH within a pH 7.0–10.0 and b pH 8.5–10.0. Average of uranium concentration (103 pmol l−1) and major ion concentrations shown in Table 5 were used for the calculation

Since the changes in enthalpy and entropy of the formation of the calcium–uranyl-carbonate complexes are not known, the formation constants of these complexes at other temperatures cannot be estimated accurately. However, during summer and autumn, when water temperature is around 25 °C, the effect of water temperature on U speciation is small and therefore the predominant species is probably CaUO2(CO3) 2−3 . In addition, Wang et al. (2004) expected that the lowering of water temperature from 25 to 0 °C and subsequent changes in the formation constants of U species would not change the order of their percent distribution. Therefore, in the following section we assumed that the predominant aqueous U species was CaUO2(CO3) 2−3 .

Effect of water flow and epilimnion volume on U concentration

It was presumed that the major input of U to the epilimnion of the northern basin was the water flow from its watershed, particularly from rivers. In Lake Biwa and its surrounding area, the average U concentration in river waters ([U]R; 184 pmol l−1) is much higher than that in groundwater ([U]G; 4 pmol l−1), rain water ([U]P; 4 pmol l−1), and even than the concentration in lake waters at 0 m depth during the circulation periods (65–94 pmol l−1; Table 3). In addition, it has been reported that the annual discharge of rivers into the lake is approximately 10 times more than that from groundwater and twice that of direct precipitation (Somiya 2000). On the basis of these findings, it was inferred that the input from river waters to the epilimnion increases the concentration of U in Lake Biwa from spring to summer. In contrast, from autumn to winter, deepening of the thermocline and subsequent increased volume of the epilimnion can dilute the U concentration in the epilimnion. Thus, we estimate the effect of water inflow as well as the water volume of the epilimnion on the U concentration in the epilimnion of the northern basin during the stagnation periods, using mass balance Eqs. (11) and (12). In this model (model A), we set the value of US (Eqs. (11, 12)) as 0 in order to isolate the effects of water inflow and water volume on U concentration.

The results obtained via model A are shown by dotted lines in Fig. 8, together with the measured U concentrations at 0 m depth. The simulated U concentrations cannot account for the observed concentration changes during the stagnation periods. These results suggest that the inflow of dissolved U from the watershed and the volume change of the epilimnion are not the major mechanism for the seasonal variation of U concentration in the epilimnion. Therefore, it is inferred that the epilimnion is subject to other major inputs of U from spring to summer and outputs from autumn to winter.

Fig. 8
figure 8

Time series (2011–2013) of dissolved uranium concentration measured at 0 m depth and concentrations in the epilimnion estimated by models A and B

Effect of pH on the distribution of U between water and sediment

It is remarkable that dissolved U concentration in the epilimnion of the northern basin varies in response to changes in pH (Table 3). In addition, the vertical profiles of U concentration are similar to those of pH (Fig. 5). From these results, a relationship is suggested between the lake water pH and U concentration.

Various experimental studies have revealed the adsorptive behavior of uranyl-carbonate species between water and solids (Ishibashi et al. 1967; Hsi and Langmuir 1985; Ho and Miller 1986; Waite et al. 1994; Pabalan and Turner 1997; Barnett et al. 2002), and recently that of calcium–uranyl-carbonate species has also been discussed (Fox et al. 2006; Stewart et al. 2010). Most of these studies exhibited the desorption of U from ferric (oxy)hydroxides, aluminosilicates, or clay minerals from neutral to alkaline pH region. Such desorption of U can be explained by the formation of highly soluble uranyl-carbonate and calcium–uranyl-carbonate species, which results from the increase in water pH and subsequent increase in carbonate ion concentration. In Lake Biwa, a large fraction of sediments contain oxides and hydroxides of iron (3.3–5.2 % as iron content in the upper 2-cm layer; Takamatsu et al. 1985) and aluminosilicates or clay minerals (26.2 % as silicon content and 7.4 % as aluminum content in the upper 5-cm layer; Somiya 2000). Therefore, it is possible that the variation in lake pH from neutral to alkaline affects U speciation and its distribution between the lake water and the solid phase, resulting in the seasonal variation in dissolved U concentration.

We investigated this possibility experimentally, using the lake water and sediments (Fig. 2). The results (Fig. 6) showed that the U concentration in water increased with pH from 7.0 to 8.5, which is in agreement with the findings of previous experimental studies mentioned above. In addition, the result also indicates that the reaction of U in response to pH change is reversible: its concentration decreased with pH from 8.5 to 7.0 (Fig. 6). In this experiment, biological activity and change in WT had negligible effect on U concentration, because we filtered the lake water, added NaN3 to it, and kept the tank in darkness at a constant temperature. The change in U concentration observed in our experiment is also evidently a result of chemical reactions between water and sediment in response to pH change. A similar reaction is expected to occur in the epilimnion of the lake, resulting in the seasonal variation in dissolved U concentration.

From the above results, we propose a likely mechanism for the seasonal variation in dissolved U concentration (Fig. 9), as follows. During the circulation period, U is adsorbed onto minerals contained in the solid phase within a neutral pH range. As pH in the epilimnion increases due to biological activity from spring to summer, U is desorbed from the surface of sediment in contact with the epilimnetic lake water (defined as “littoral sediment”) and suspended particulate matter in the epilimnion, thereby becoming concentrated within the epilimnion (Fig. 9a). Conversely, as pH in the epilimnion decreases due to the decline in biological activity in autumn, U in the epilimnion is adsorbed onto the surface of the solid phase in the epilimnion, and its concentration decreases (Fig. 9b).

Fig. 9
figure 9

Likely mechanism for a increase and b decrease of dissolved uranium concentration in the epilimnion

In order to evaluate the possibility of this mechanism, we calculated the mass balance of U in the epilimnion of the northern basin, including the desorption/adsorption of U from/onto sediment (model B, Us ≠ 0 in Eqs. 11 and 12). We assumed that U was desorbed from the littoral sediment from 13 May to 15 September in 2011 and from 17 May to 12 September in 2012, along with the pH increase from spring to summer (Table 3). The daily value of US in these periods was obtained by multiplying the surface area of sediment in contact with the epilimnion by the desorption rate of U. The surface area of sediment was calculated daily using the thickness of the epilimnion and the depth–bathymetric area diagram of Lake Biwa from Horie (1961). The desorption rate was estimated in such a way that the simulated U concentration fits to the measured concentrations at 0 m depth on 15 September 2011 and 12 September 2012, respectively. We assumed that the desorption rates in 2011 and 2012 were independent of each other, but that each of them was constant throughout the respective period.

Conversely, we inferred that U in the epilimnion was adsorbed onto sediment from 16 September 2011 to 25 January 2012 and from 13 September 2012 to 16 January 2013, along with the pH decrease from autumn to winter (Table 3). The daily value of US was determined by the surface area of sediment and the adsorption rate. The surface area of sediment was determined in the same way as described above, and the adsorption rate was estimated in such a way that the simulated U concentration fits to the measured concentrations at 0 m depth on 25 January 2012 and 16 January 2013, respectively.

The results (Fig. 8) show that the U concentration simulated by model B is in good agreement with the measured value from spring to summer, but is slightly lower from autumn to winter. The estimated desorption rate from May to September was 2.50 × 104 pmol m−2 day−1 in 2011 and 4.80 × 104 pmol m−2 day−1 in 2012, and the estimated adsorption rates from September to the following January were 6.00 × 103 pmol m−2 day−1 in 2011 and 1.10 × 104 pmol m−2 day−1 in 2012. Although the adsorption rate in 2011 is slightly lower, these values are of the same order of magnitude as the rates of U release and assimilation observed experimentally (1.86 × 104 and 2.76 × 104 pmol m−2 day−1, respectively; Fig. 6). Therefore, we conclude that the seasonal variation in dissolved U concentration in the epilimnion mainly results from the desorption/adsorption of U from/onto the littoral sediment in response to variation in water pH, as shown experimentally.

Both of the estimated desorption and adsorption rates in 2012 are approximately 1.9 times greater than those in 2011. Since the pH during summer was much higher in 2012 (maximum: 9.6) than in 2011 (maximum: 8.0), the amount of U desorbed from the solid phase in response to the pH increase was possibly greater in 2012. Similarly, the amount of U adsorbed onto the solid phase from autumn to winter was greater in 2012 because the pH decreased more significantly in that year (Table 3).

The simulated U concentrations were slightly lower than the measured values in autumn (Fig. 8), suggesting that there are some additional inputs of U to the lake water during these periods. A possible source of these inputs is the release of U from the sediment at approximately 5–30 m depths. As the thermocline becomes deeper during autumn, the upper part of the hypolimnion is taken into the epilimnion and the pH of that layer increases. For example, the pH at 25 m depth increased from 6.9 in September to 7.2 in December 2012 (data not shown). In response to such pH increase, U is expected to be desorbed from the sediment in contact with the water layer newly taken from the hypolimnion into the epilimnion. However, it is difficult to incorporate such U desorption into the model, because it is almost impossible to predict the area and the period in which U is desorbed from the sediment newly contacting the epilimnion.

Another possible source is suspended particulate matter, which is supplied abundantly from the watershed to the lake in autumn as a result of typhoons. For example, very high concentrations of suspended particulate matter of 10.4 and 10.0 mg l−1 were observed in the epilimnion of the northern basin in September 2011 and 2012, respectively, compared to its usual concentrations of around 1 mg l−1 in summer and winter (Shiga Prefecture 2012, 2013). Therefore, it is inferred that much U was released from this suspended particulate matter in autumn.

Conclusions and implications

Our study revealed seasonal variation in dissolved U concentration in the well-oxygenated epilimnion of Lake Biwa; it started to increase in spring, peaked in summer, and decreased from autumn to winter. Such behavior differs from the commonly accepted view that U shows conservative behavior in oxygenated seas (Ku et al. 1977; Delanghe et al. 2002) and lakes (Falkner et al. 1991). In addition, our results show that the solid phase behaves as both source and sink of U, according to variation in water pH. Although a number of experimental studies have revealed the adsorptive properties of (calcium–)uranyl-carbonate complexes onto the solid phase, to our knowledge this is the first study to report that such adsorptive behavior of U in response to pH variation controls the geochemical dynamics of U in natural waters. The present findings suggest that U in natural waters shows more complicated behavior than anticipated, and therefore further investigations will help to improve the understanding of U geochemistry.

Our findings also have implications for understanding the transport and distribution of anthropogenic U in aquatic environments, particularly in limnetic areas. If natural water in a slightly acidic or neutral pH range is contaminated by anthropogenic U, for example, a large proportion of the U is expected to be retained in the solid phase. However, our findings suggest that the adsorbed U is desorbed from the solid phase in response increase in pH to the alkaline range, resulting in increased concentration of dissolved U. This seems to occur in the epilimnion of mesotrophic or eutrophic lakes and in oxygenated estuaries, where river water mixes with seawater of higher pH and alkalinity.