Geochimica et Cosmochimica Acta, Vol. 67, No. 11, pp. 1955–1972, 2003 Copyright © 2003 Elsevier Science Ltd Printed in the USA. All rights reserved 0016-7037/03 $30.00 ⫹ .00 Pergamon doi:10.1016/S0016-7037(02)01341-8 The transport of U- and Th-series nuclides in sandy confined aquifers B. C. REYNOLDS,1,2,* G. J. WASSERBURG,1 and M. BASKARAN3 1 The Lunatic Asylum of the Charles Arms Laboratory, Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA 91125 USA 2 Open University, Department of Earth Sciences, Walton Hall, Milton Keynes, Buckinghamshire MK7 6BT, UK 3 Department of Geology, Wayne State University, Detroit, MI 48202, USA (Received June 6, 2002; revised 13 November 2002; accepted in revised form November 13, 2002) Abstract—Abundances of 238U, 234U, 232Th, 226Ra, 228Ra, 224Ra, and 222Rn were measured in groundwaters of the Ojo Alamo aquifer in northwest New Mexico. This is an arid area with annual precipitation of ⬃22 cm. The purpose was to investigate the transport of U-Th series nuclides and their daughter products in an old, slow-moving groundwater mass as a means of understanding water-rock interactions and to compare the results with a temperate zone aquifer. It was found that 232Th is approximately at saturation and supports the view of Tricca et al. (2001) that Th is precipitated irreversibly upon weathering, leaving surface coatings of 232 Th and 230Th on aquifer grains. Uranium in the aquifer waters has very high [234U/238U] ⬃ 9 and low 238U concentrations. These levels can be explained by low weathering rates in the aquifer (w238U ⬃ 2 ⫻ 10⫺18 to 2 ⫻ 10⫺17s⫺1) using a continuous flow, water-rock interaction model. The Ra isotopes are roughly in secular equilibrium despite their very different mean lifetimes. The 222Rn and 228Ra isotopes in the aquifer correspond to ⬃10% of the net production rate of the bulk rock. This is interpreted to reflect an earlier formed irreversible surface coating of Th that provides Ra and Rn to the aquifer waters. The surface waters that appear to be feeding the aquifer have low [234U/238U] and high 238U concentrations. The flow model shows that it is not possible to obtain the high [234U/238U] and low [238U] values in the aquifer from a source like the present vadose zone input. It follows that the old aquifer waters studied cannot be fed by the present vadose zone input unless they are greatly diluted with waters with very low U concentrations. If the present sampling of vadose zone sources is representative of the present input, then this requires that there was a major change in water input with much larger rainfall some several thousand years ago. This may represent a climatic change in the Southwest. Copyright © 2003 Elsevier Science Ltd lematic. We here consider the flow through sandstone. We note that studies of the geochemistry of the groundwater from carbonate terrains (Banner et al., 1990) show it to be quite different. This is due to the dominant questions involving carbonate solubility. Several studies have considered the aquifer transport of U-Th series nuclides in sandy aquifers, but the interpretations of field data using theoretical models are limited (Ku et al., 1992), and research has mainly focused on the interpretations of 234U/238U activity ratios in groundwaters without considering the whole decay series (Dickson and Davidson, 1985; Frohlich and Gellermann, 1987) or the amounts of various species of radon (Rn) released from the rocks to water during the groundwater transport. A general problem that has long been recognized is the high 222Rn content (far higher than the content of its parent 226Ra) of groundwaters, which requires that the products of ⬃5 to 10% of the total Rn production rate in the host aquifer rocks must be accessible to the water. This requires very small grains with very large surface area geometries (Semkow, 1990) or the possible existence of small microfissures or nanopores in the crystals to provide a leakage path (Rama and Moore, 1984). However, these hypothesized leakage paths are not evident from the low loss of argon from irradiated samples (Krishnaswami and Seidemann, 1988). Krishnaswami et al. (1982) calculated sorption reaction rate constants and residence times of daughter nuclides by deducing recoil inputs from 222Rn for a static system but did not consider the transport and the effects of precipitation. This study uses a transport model (Tricca et al., 2000, 2001) to discuss the natural abundances of U, Th, Ra, and Rn nuclides 1. INTRODUCTION The distribution of naturally occurring radionuclides can provide important insights into the mobility of pollutant nuclides and the rates of natural geochemical processes. Modeling of local mass balance can provide quantitative estimates of transport rates and their retardation by physico-chemical processes (adsorption-desorption and dissolution-precipitation). Processes occurring during water-rock interactions induce significant elemental and isotopic shifts between parent-daughter activity ratios of the uranium (U) and thorium (Th) isotope decay series, with half-lives as indicated: 238 U(4.5Ga) ␣3 234Th(24d) 3 234U(0.25Ma) ␣3 230Th(75ka) ␣ 226 3 Ra(1.6ka) ␣3 222Rn(3.8d) 232 ␣ 228 Th 共14Ga兲 3 Ra(5.8a) 3 228Th(1.9a) ␣3 224Ra(3.7d) The disequilibrium of the decay series are well suited to the study of transport and physico-chemical processes because of the diverse chemical properties of the elements and a wide range of decay constants within each series. Although the thermodynamic properties of U and Th have been extensively studied in aqueous solutions (Langmuir, 1978; Langmuir and Herman, 1980), the complex chemical compositions of natural waters make the prediction of elemental behavior more prob- * Author to whom correspondence ([email protected]). should be addressed 1955 1956 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran in a large aquifer from an arid region to estimate the influences of weathering, ␣-recoil, solubility, and surface reactivity (adsorption-desorption). This one-dimensional model considers three phases: groundwater advecting along a flowline (without dispersion), host rock comprised of typical arkose sandstone mineralogy, and a surface layer coating some fraction of the grains where reversible sorption and irreversible precipitation takes place. The evolution of the nuclide activities along the flow and aging of the water can be modeled and evaluated for each nuclide using the measured activities in the aquifer. The model predicts the relationship between the 238U content and the supply rate of species “i” by weathering (wi) and the 234U content and the fraction of nuclides ejected or leached into the water after ␣ recoil in the rock for each species i (the recoil fraction i) and the evolution as a function of the flow path. This model (Tricca et al., 2001) and the corresponding reference is subsequently be referred to as TWPB. The model was previously applied to a relatively small, unconfined aquifer at the Brookhaven National Laboratory (BNL) on Long Island, USA (a temperate region), where activities in the groundwater were found to be dominated by processes occurring in the vadose zone above the aquifer (TWPB). These workers showed that Th is saturated in the neutral pH waters at the BNL site. This saturation condition fed by continuous precipitation of Th by an earlier phase of ongoing weathering is hypothesized to have precipitated Th onto surface layers of mineral grains within the aquifer on nonexchangeable sites. The model predicts that the 230Th activity in the surface layer will reach a steady-state value after ⬃1 Myr but that the 232Th activity in the surface layer grows linearly with time for the duration of the aquifer as long as the saturation condition obtains. The accumulation of 232Th and 230Th onto mineral surfaces from such an earlier weathering episode can provide the source for the high Rn contents typically found in aquifer waters. According to the model, it is the Rn loss from accumulated 230Th and 232Th on thin surface layers that may typically provide a source for high Rn emanation and Ra in rocks with high weathering rates. The direct observation of this surface layer has not been made. It is considered that nanometer-sized pores in the radioactive minerals of the host rock are not the source of the Rn as shown by Krishnaswami and Seidemann (1988). The source of the Ra is considered to be produced by decay of 230Th and 232Th in the precipitated surface layer. In this study we will test the model in a distinct environment where the climate is arid. The retention of Th during weathering has been recently recognized in the study of weathering products in riverwaters. In contrast, uranium and radium have higher solubilities and are considered to be much more easily leached and transported relative to thorium during the chemical weathering of rocks (Vigier et al., 2001). In the work by TWPB, it was shown that the low Th concentration in the waters, if simply attributed to weathering, would require 232Th weathering rates two or more orders of magnitude lower than that of U. However, if the low Th weathering rate is the result of a two-stage process of weathering followed by irreversible precipitation on surfaces, then the observations could be explained without a gross discrepancy in weathering rates. This is distinctive from the onestep, first-order kinetic leaching process used by others (Vigier et al., 2001). The present study was directed at water-rock interactions in an arid environment to explore the applicability of the theoretical model under conditions of low groundwater flow. The Ojo Alamo Aquifer of the San Juan Basin, near Farmington, New Mexico, was selected for the study since the hydraulics of the aquifer had been previously studied and groundwater ages had been established using 14C dating, which was used to construct a numerical flow model for the aquifer (Brimhall, 1973; Tansey, 1984; Phillips et al., 1986, 1989). Data is, in general, given in activity units (e.g., [234U]) or in activity ratios (e.g., [234U/238U] ⫽ [234U]/[238U]). In some cases, we use the notation ␦234U ⫽ ([234U/238U] ⫺ 1) ⫻ 103. 2. SAMPLING AND ANALYTICAL PROCEDURES This study focuses on the partially-confined Ojo Alamo Aquifer of the San Juan Basin of northwestern New Mexico (Fig. 1). The region has a continental, semiarid climate with annual precipitation of ⬃22 cm, which is divided approximately between winter frontal storms from the Pacific and summer monsoonal storms from the Gulf of Mexico. The evapotranspiration yields a net input of 0.7 cm per year into the groundwater. The land is sparsely populated and not cultivated, with a vegetation cover type of north desert shrub. The mean monthly temperature varies from 1 to 20 °C. The sampled aquifer consists of an average 55-m thickness of fine- to coarsegrained alluvial arkosic sandstone deposited in the early Cenozoic and unconformably overlying the Cretaceous aquitard of the Fruitland Formation and Kirtland Shale. It outcrops to the south and west (see Fig. 1), and from this recharge area dips gently northward. Toward the northeast, it is confined by the conformably overlying Nacimiento Formation of shale and siltstone, with thin interbedded sandstones. An extensive hydraulic study of the groundwater by Phillips et al. (1986, 1989) has demonstrated that recharge is principally by water infiltration through the outcrop area and the subsequent water flow northward is slow, typically at velocities of 1 m/yr (Brimhall, 1973; Phillips et al., 1989). The aquifer has porosity values on the order of 20% and transmissivities in the range 0.5 to 8 ⫻ 10⫺4 m2 s⫺1 (Brimhall, 1973; Phillips et al., 1989). Further numerical modeling of the groundwater flow using hydraulic heads and 14C activities enabled flow patterns within the aquifer to be estimated (Phillips et al., 1989), although variations from those predicted by a simple piston flow model through the aquifer were only slight (Tansey, 1984). Other studies of the Ojo Alamo aquifer include measurements of the dissolved noble gas concentrations for paleotemperature reconstructions and deriving groundwater age constraints from excess 4He accumulation (Phillips et al., 1986; Stute et al., 1995; Castro et al., 2000). The groundwater ages derived from excess 4He were made comparable to 14C ages using a model with exponential decrease in the water velocity from 2 to 0.3 m/yr (Castro et al., 2000) and a flow field that is not perpendicular to the measured hydraulic head. From simple conservation of water, the modeled decrease in velocity would mean a large vertical flux of water into the overlying Nacimento formation that has not been demonstrated by field measurements. The groundwater ages used in this study have been calculated using a constant velocity of 1.33 m/yr in the aquifer and estimating the flow distance from the wellhead to the inferred recharge area where the Ojo U, Th series in an aquifer or transport of U, Th series in an aquifer Fig. 1. (A) Area of study showing the location of the sample sites. Inset shows location of study area (shaded) and the main drainage pattern from the San Juan Mountains and continental divide feeding into the San Juan River. Major figure shows sampling sites (open circles) with the location of the wells (W1–W10). Numbering is based on their distance from the nearest southern outcrop of the Ojo Alamo sandstone (shaded), springs (Ojo Spring and Pete Spring), rock samples (R1–R3), and the soil profile (Soil). River sample taken in Farmington. Seasonal river washes are shown as dashed lines flowing to the San Juan River (solid line). The 6000-foot contour interval is shown (thin grey line) as well as the major roads in the area (solid black lines). Estimated input source to sampled wells (by number) in the shaded outcrop of the Ojo Alamo for samples indicated by X. The order of the outcrops from left to right correspond to well 2, Pete Springs wells 8, 6, 5, 9, 1, 4, 7, 3, and 10, respectively. (B) Cross section showing the Ojo Alamo aquifer from Phillips et al. (1989). 1957 1958 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran Alamo sandstone outcrops. We use 14C ages as a function of flow path from Figure 13 in Phillips et al. (1989). Distances were measured along mapped-out flowlines perpendicular to the estimated hydraulic head (Tansey, 1984). Groundwaters from the Ojo Alamo aquifer were collected in February and June 2001 (12 samples). Sites were chosen to cover the area to obtain waters from different recharge areas and flow ages. The wells were equipped with large submersible pumps able to draw several gallons per minute, except for the springs and windmills (wells 1 and 2). Access to the wellheads and help with the collection of several samples were given by the Navajo Tribal Utility Authority (wells 3, 6, 7, and 8). Help and access to submersible pumps was also given by the Carson School (well 5), the Navajo Agricultural Products Industry (NAPI) Feedyard (well 9), and a publicly available well at the Brethren of Christ Mission School (well 4). Well 10 consisted of a continuously flowing pumped well. The drawing up of the water by the windmills may have affected the chemistry of the waters, as equilibrium conditions of continuous flow might not have been reached and gas-exchange may have taken place. A riverwater sample was obtained from the San Juan River in Farmington. Rock samples were taken from three places (see Fig. 1): two in the recharge area (Rock #1 and 2) and one from the cliffs near Farmington in the north (Rock #3). To investigate the vadose zone, a 1.5-m soil profile was taken from the sides of a deeply cut aqueduct runoff channel (SP #1). Help in the selection of a suitable site (Fig. 1) and access to the locality was given by the Navajo Indian Irrigation Project (NIIP). The pH and dissolved oxygen content were determined in the field using a multiprobe flowcell setup, allowing for equilibrium to ensure that the measurements truly represented the groundwater values. Only samples well 1 and 10 had visible suspended particle loads, and all samples appeared colorless and odorless. The concentrations of anions and cations in filtered water samples (⬍ 0.45 microns) were determined shortly after collection by Inner Mountain Labs, Farmington, New Mexico. For analysis of long-lived isotopes (238U, 234U, 232 Th, and 230Th), both unfiltered and filtered water samples were collected and were acidified (to pH ⫽ 2) in the field. The filters used were 0.45-m cellulose filter cartridges that were precleaned in 2 N HCl acid. Aliquots of each sample were spiked with 236U, 233U, and 229Th tracers and left for 1 week to allow thorough mixing of the spikes before carrying out extractions using iron coprecipitation. Uranium and thorium were separated and measured by mass spectrometry following standard procedures (Chen et al., 1986). For analysis of short-lived Ra and Th isotopes, 100-L samples were passed on line through 0.45-m prefilters and then through MnO-coated polypropylene filters. The MnO filters were ashed and measured using a high-purity Ge Well gamma ray detector coupled to InSpector at Wayne State University (Baskaran et al., 1993). Absolute 226 Ra activities were determined from 20 L of 0.45-m filtered water, and passed through MnO-impregnated acrylic fibers that have high Ra adsorption efficiency (Reid et al., 1979). The 222 Rn content of the waters was determined by a gas extraction procedure. All separations and analyses for 222Rn were completed in the field. The Rn activities were measured by ␣ scintillation counting within a few hours after sample collection. The efficiency of the extraction was determined for the procedure in the laboratory using a known 226Ra standard (76%). The three rock samples were analyzed for long-lived isotopes following crushing and powdering. Complete dissolution of the rock minerals was achieved using combined HF, HClO4 acids and hot HNO3. U and Th were separated and measured using the same methods as for the water samples. A total of ⬃800 g of powdered material from the soil profile was used for a water-leaching experiment. This consisted of a combined sample of roughly 200 g of material for each of the first 4 feet of the profile observed. This soil and rock sample was mixed with ⬃500 g of ultrapure water and left for 24 h. The water wash was filtered at 0.45 m before analysis of U and Th were made using the same method as for water samples. The pH of the solution after leaching was unfortunately not measured. 3. RESULTS General chemical compositions of the water samples are shown in Table 1. The suspended load (SPL) was determined by weighing the dried filter before and after filtration. Total dissolved solids were calculated from the chemical composition of the filtered waters. The cation/anion ratios varied between 0.96 and 1.06. The dominant ions in the groundwater are generally Na⫹ and either HCO3⫺ or SO4⫺, with no systematic relationship to each other. There is a relatively constant and high level of total dissolved solids (TDS) throughout the aquifer (450 –770 mg/L corresponding to ions of 16 –25 meq/L). The waters are slightly alkaline (measured pH varied between 7.1 and 9). Generally, major element data for unfiltered waters (not shown) were indistinguishable from those of the corresponding 0.45-m filtered samples. The major ion chemistry is principally derived from the dissolution of gypsum and Na⫹/Ca2⫹ ion exchange that drives calcite into dissolution. The low Cl⫺ concentrations and high pH exclude significant NaCl or sulfide dissolution as a source of the ions. The TDS appears to be roughly constant without any correlation with distance. Comparison of the hydrochemical data from the same sample localities from previous work spanning back over the last 20 yr indicates only slight variations in the major ion concentrations, although there may be significant variations in the trace element composition of the groundwater (Tansey, 1984; Stute et al., 1995). There is also good agreement in the major ion composition within the aquifer from the closest two wells (5 and 6). Thus there appears to be relatively low temporal and spatial variations in the major ion chemistry. Generally, chloride is introduced into groundwaters through the seepage of rainwater, and there are no recognized sources for chloride in the aquifer. We consider Cl to behave conservatively and that the chloride concentration in the aquifer reflects the amount of evaporation that has taken place in the upper part of the vadose zone. The Cl⫺ concentrations in rainwater in New Mexico are ⬃0.25 mg/L (0.0076 meq/L), while general Cl⫺ concentrations in the groundwater are around 8 mg/L (0.23 meq/L), which indicates that ⬃97% of the rainwater evaporates before reaching the water table. The Cl concentrations for the rainwater were generously provided by F. M. Phillips based on a 5-yr monitoring of the Long Term Ecological Research Site at the Sevilleta Wildlife Refuge. Thus, the annual groundwater Table 1. General Characteristics of groundwater samples. Well Bottom Altitude m Proposed Flow1 Age ka TDS2 mg/l Ojo Spring Pete Spring River Well #1 Well #2 Well #3 Well #4 Well #5 Well #6 Well #7 Well #8 Well #9 Well #10 2000 1805 1615 1893 1850 2009 1913 1855 1885 1920 1734 1729 1850 2000 1790 1615 1849 1812 1810 1839 1734 1748 1719 1643 1609 1792 0 0? n/a 4.3 6.4 7.5 9.4 11.3 11.3 14.1 20.1 24.9 28.1 470 1150 200 630 650 770 580 530 550 450 590 — 470 1 Major Cations pH 8.8 8.7 8.1 9.3 7.7 7.7 8.9 Major Anions SPL3 mg/l O24 mg/l Na⫹ meq/l K⫹ meq/l Mg2⫹ meq/l Ca2⫹ meq/l HCO⫺ 3 meq/l CO2⫺ 3 meq/l Cl⫺ meq/1 SO 2⫺ 4 meq/l Sr ppb 4.34 0.10 (3.93) (2.11) 8.56 1.13 0.47 0.10 0.18 0.18 0.54 0.18 — 10.01 (3.12) (3.16) 0.03 (3.22) 0.04 ⬍0.01 0.01 0.04 — ⬍0.01 1.60 16.97 0.56 10.80 10.39 11.02 9.89 9.56 9.26 7.86 9.25 14.30 8.44 0.05 0.02 0.04 0.01 0.01 0.04 0.01 0.01 0.01 0.01 0.02 0.07 0.01 0.47 0.45 0.55 ⬍0.01 ⬍0.01 0.13 ⬍0.01 ⬍0.01 ⬍0.01 ⬍0.01 0.02 0.08 ⬍0.01 5.36 1.29 2.38 0.05 0.04 1.00 0.04 0.02 0.04 0.03 0.36 1.55 0.03 2.56 6.95 1.6 4.57 3.11 6.59 5.12 4.88 3.84 3.29 4.94 — 4.58 ⬍0.01 ⬍0.01 ⬍0.01 2.20 1.83 ⬍0.01 1.10 1.76 2.20 2.20 ⬍0.01 — 1.46 0.39 2.15 0.36 0.24 0.22 0.17 0.21 0.36 0.27 0.18 0.22 — 0.16 4.66 9.20 1.36 3.58 5.25 5.96 3.23 2.50 2.67 1.99 4.42 — 1.93 986 915 531 24 28 302 24 36 55 33 214 7115 28 87 Sr/86Sr 0.70829 ⫾ 4 0.70918 ⫾ 7 0.70957 ⫾ 6 0.70857 ⫾ 9 0.70887 ⫾ 6 0.70847 ⫾ 4 0.70890 ⫾ 6 0.70887 ⫾ 4 0.70871 ⫾ 8 0.71000 ⫾ 5 0.70883 ⫾ 5 0.70899 ⫾ 4 0.70930 ⫾ 5 Conc. Factor5 55 303 51 34 31 24 30 51 38 25 31 23 Estimated flow distance is based on hyraulic flow lines from recharge area to well head from Tansey (1984). TDS ⫽ Total Dissolved Solids. SPL ⫽ Suspended Particulate Load (dry weight of particulates per liter ⬎0.45 m). 4 O2 ⫽ measured dissolved oxygen concentrations. Parentheses indicate oxygen levels not measured from flowing well head. Major ions given in milk-equivalents per liter. Strontium (Sr) concentrations given in ppb (g/l). 5 Concentraton factor is calculated as ratio of the measured Cl⫺ concentrations to the estimated rainfall concentration of 0.0071 meq/L. 2 3 U, Th series in an aquifer or transport of U, Th series in an aquifer Location Water level m 1959 1960 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran Table 2. Activities in the rock and soil profile. [238U] [232Th] Location ppm dpm/kg [234U] dpm/kg ␦234U [230Th] dpm/kg ppm dpm/kg [230Th/234U] [230Th/232Th] Rock 1 - Recharge area Rock 2 - Recharge area Rock 3 - Northern edge Soil Profile Leachate Water ⬍0.45 m 2.91 2172 ⫾ 13 2373 ⫾ 51 93 ⫾ 23 2651 ⫾ 27 8.04 1962 ⫾ 2 1.117 ⫾ 21 1.352 ⫾ 8 3.53 2631 ⫾ 5 2732 ⫾ 11 38 ⫾ 4 0.99 741 ⫾ 2 708 ⫾ 6 ⫺45 ⫾ 8 1099 ⫾ 13 7.31 1785 ⫾ 1 1.553 ⫾ 9 0.616 ⫾ 19 0.04 0.316 0.439 392 ⫾ 5 0.01079 0.05 0.01231 ⫾ 2 0.0246 0.876 ⫾ 19 ␦234U is the isotopic shift in permil deviation from secular equilibrium. ␦234U ⫽ ([234U/238U] ⫺ 1) ⫻ 103. [234U] and [238U] are the activities of U and 238U in the water. 234 recharge is ⬃0.7-cm yr⫺1. This value corrects our original erroneous estimate, which was much higher. This input can supply the calculated subhorizontal groundwater flow of 133 cm/yr, given the 20% porosity and geometry of the aquifer compared to the recharge area (F. M. Phillips, pers. comm.). The local very high Cl⫺ concentrations from Pete Spring (76 mg/L) indicate that very large amounts of evaporation have taken place in the input to the storage tank or from the water tank before water collection (over 99% of the rainwater evaporated). The dissolved oxygen concentrations pumped into the flowcell, excluding well 4, were very low (⬍ 0.08 mg/L or 1% saturation), and so waters are strongly anoxic. Near-surface waters from Ojo Spring and Pete’s Spring have dissolved oxygen contents 30% above saturation. Elevated dissolved oxygen concentrations in the samples from the windmills (⬃45%) probably demonstrate that waters were not closed to gas exchange whilst being drawn up and are indicated by parentheses in Table 1. The Sr concentrations of the groundwaters were highly variable from 24 ppb to 7.1 ppm but do not correlate with the variations in the 87Sr/86Sr ratios, which varied from 0.7087 to 0.7100. Generally lower 87Sr/86Sr ratios correlate with higher Ca/Sr ratios, which may be associated with gypsum dissolution. The Sr concentrations of riverwater and springwater samples are typically much higher than groundwater. The 87Sr/86Sr of springwater is indistinguishable from the range of values we found in groundwaters and in the riverwater. The U and Th content of the rock samples is shown in Table 2. Previously measured U and Th concentrations are between 1.3 and 5 ppm and 2.4 and 6 ppm, respectively (Castro et al., 2000). Both rock samples 1 and 2 are from the recharge zone that shows heavy Fe-Mn staining. They have high U and Th concentrations with activities of ⬃1800 to 2600 dpm/kg. Unless indicated otherwise, all data on radioactive nuclides are given in activity units (dpm/kg). This is indicated by square brackets. Rock sample 1 has daughter activities for both 234U and 230Th in excess of unity with [234U/238U] and [230Th/234U] of 1.093 and 1.117, respectively. However, for rock sample 3, which is not from the recharge area and does not have heavy mineral staining, the U concentration is much lower and the [234U/238U] ⫽ 0.955. This corresponds to ␦234U ⫽ ⫺45‰. Thus, the rock is deficient in 234U compared to 238U, suggesting significant enhanced 234U removal. This rock has Th con- centrations similar to rocks 1 and 2, but the [230Th/232Th] ratio is less than unity, roughly reflecting the low 238U/232Th ratio. The high value of [230Th/234U] ⫽ 1.55 and [234U/238U] ⫽ 0.955 in rock #3 can only be generated by an inherited 230Th from precipitation of Th during weathering and some enhanced loss of 234U. Isotopic and abundance data for U and Th are given in Table 3. Measured 238U activities in both unfiltered and filtered samples (⬍ 0.45 m) from the aquifer vary from 15 ⫻ 10⫺3 to 156 ⫻ 10⫺3 dpm/kg (20 –210 ng/kg). Generally [238U] in the unfiltered and filtered samples are the same within error; however, for wells 2, 9, and 10, [238U] in the unfiltered water is somewhat higher compared to the filtered water. These wells have higher suspended particulate concentrations and demonstrate that there must be U in the suspended particles of the unfiltered samples. The [234U/238U] in the aquifer vary from 5.7 to 11.9 and so are all highly enriched in 234U. Generally, [234U/238U] in the unfiltered and filtered samples are the same, although well 9 has a significantly higher [234U/238U] in the dissolved fraction. Given that there are variations in the 238U activity by over an order of magnitude it is significant that the [234U/238U] varies by less than a factor of 2 (see Fig. 2). In all wells, [238U] does not increase with the TDS or correlate with distance from the recharge area, as shown in Fig. 3. The 232Th activities in the filtered fractions of the riverwaters, springwaters, and groundwaters lie between 4 ⫻ 10⫺6 to 9 ⫻ 10⫺5 dpm/kg (14 –300 pg/kg) (Table 3). The [232Th] in the unfiltered water samples are all higher, especially in well 10 and the riverwater, with activities between 7 ⫻ 10⫺5 and 7 ⫻ 10⫺3 dpm/kg (0.3–30 ng/kg), as shown in Fig. 4. The estimated solubility of Th in pure water is only ⬃10 pg/kg (2.4 ⫻ 10⫺6 dpm/kg) (Langmuir and Herman, 1980), although Th solubilities in natural waters can be increased greatly up to pH ⬃8 by complexes with organic colloids and inorganic ligands such as phosphate. Thorium forms a strong complex with CO32⫺ and HCO3⫺. The residence time of thorium in Mono Lake was found to be an order of magnitude higher than those in other lakes and ocean water systems. Elements like Th have considerably enhanced solubility due to complexing with carbonate and bicarbonate (Anderson et al., 1982). However, at pH values much above 8, complexation should have little effect, as all present Th4⫹ ions will be complexed by hydroxyl ions. The measured [232Th] in the filtered waters are around the solubility limit for thorianite with some enhancement presumably due to U, Th series in an aquifer or transport of U, Th series in an aquifer 1961 Table 3. Activities of long-lived nuclides in the water samples. Location Ojo Spring-unfiltered ⬍0.45 m Pete Springunfiltered ⬍0.45 m River unfiltered ⬍0.45 m Well #1 unfiltered ⬍0.45 m Well #2 unfiltered ⬍0.45 m Well #3 unfiltered ⬍0.45 m Well #4 unfiltered ⬍0.45 m Well #5 unfiltered 0.45 m Well #6 unfiltered ⬍0.45 m Well #7 unfiltered 0.45 m Well #8 unfiltered ⬍0.45 m Well #9 unfiltered ⬍0.45 m Well #10 unfiltered ⬍0.45 m Water Age* ka 0.0 0? 4.3 6.4 7.5 9.4 11.3 11.3 14.1 20.1 24.9 28.1 [238U] 10⫺3 dpm/kg [234U/238U] Excessa [234U] 10⫺3 dpm/kg 509 ⫾ 1 531 ⫾ 2 8500 ⫾ 150 1.703 ⫾ 2 1.709 ⫾ 2 1.534 ⫾ 7 357 ⫾ 2 377 ⫾ 3 4537 ⫾ 180 32.1 ⫾ 0.4 9.1 ⫾ 0.1 3.0 ⫾ 0.01 9055 ⫾ 192 650.4 ⫾ 1.4 634.0 ⫾ 4.1 76.2 ⫾ 0.2 73.7 ⫾ 0.2 42.7 ⫾ 0.1 37.6 ⫾ 0.1 15.3 ⫾ 0.1 14.9 ⫾ 0.1 156.3 ⫾ 4.9 154.4 ⫾ 0.5 107.6 ⫾ 0.8 108.1 ⫾ 0.4 — 121.6 ⫾ 0.5 14.6 ⫾ 0.1 14.7 ⫾ 0.1 77.1 ⫾ 0.1 77.6 ⫾ 1.0 30.4 ⫾ 0.1 21.4 ⫾ 0.1 84.0 ⫾ 1.0 79.8 ⫾ 0.5 1.511 ⫾ 5 1.479 ⫾ 1 1.503 ⫾ 2 8.011 ⫾ 17 7.999 ⫾ 22 8.881 ⫾ 29 8.899 ⫾ 18 7.269 ⫾ 104 7.456 ⫾ 24 7.290 ⫾ 34 7.210 ⫾ 15 — 10.695 ⫾ 18 — 9.839 ⫾ 20 11.772 ⫾ 65 11.874 ⫾ 55 8.405 ⫾ 22 8.390 ⫾ 51 5.735 ⫾ 35 5.922 ⫾ 23 10.291 ⫾ 627 10.687 ⫾ 133 4627 ⫾ 208 312 ⫾ 2 319 ⫾ 4 534 ⫾ 3 516 ⫾ 4 336 ⫾ 3 297 ⫾ 2 96 ⫾ 2 96 ⫾ 1 983 ⫾ 63 959 ⫾ 7 — 1048 ⫾ 8 — 1075 ⫾ 10 157 ⫾ 2 160 ⫾ 2 571 ⫾ 3 573 ⫾ 16 144 ⫾ 2 105 ⫾ 1 780 ⫾ 62 773 ⫾ 16 — 650 ⫾ 72 1.66 ⫾ 0.01 107.7 ⫾ 0.4 4.43 ⫾ 0.02 12.89 ⫾ 0.03 5.12 ⫾ 0.03 86.6 ⫾ 2.0 1.82 ⫾ 0.01 26.5 ⫾ 0.1 2.16 ⫾ 0.01 70.3 ⫾ 0.5 7.18 ⫾ 0.06 7.3 ⫾ 0.1 — 15.3 ⫾ 0.1 — 8.5 ⫾ 0.1 0.35 ⫾ 0.01 305.5 ⫾ 0.8 — 659.3 ⫾ 11.4 3.10 ⫾ 0.04 232 Th 10⫺5 dpm/kg * Water ages calculated from the proposed flow distance using a constant flow velocity of 1.33 m/yr (4 ⫻ 10⫺6 cm/s). Excess [234U] ⫻ {[234U/238U] ⫺ 1}[238U] a ligands. We conclude that the Th concentrations appear to be controlled by the local solubility limit in each well. The Th observations at this site are in full agreement with those found by TWPB for groundwaters in the BNL site (see Fig. 4). We have calculated the maximum concentration of 232Th in the suspended load from the difference between the concentration of unfiltered and filtered values and used the weights of SPL in Table 1. In two cases the calculated concentrations are equal to the values for the rocks (Table 3). Most of the values are a factor of 10 or more below this. It follows that the excess 232Th can easily be accounted for if some fraction (5% to 10% of the SPL) was just transported soil particles. This suggests that there is no great enhancement of Th precipitates (e.g., thorite) on particles in the SPL. However, it is possible that soil/rock particles are only a very small fraction of the SPL. In this case, it might be argued that precipitated thorite is in the SPL. As it is not possible to estimate the 238U concentrations, no arguments can be made for intrinsic Th enhancement relative to U, which might be diagnostic of thorite precipitation. Measured [232Th] in filtered water above ⬃10⫺5 dpm/kg (40pg/kg) are explained by low pH, elevated ligand complexation, or poor filtration of fine suspended particulate thorianite. Previously, TWPB reported Th activities above 20 ⫻ 10⫺3 dpm/kg in filtered waters (88ng/kg) and even higher activities in the unfiltered waters from the Magothy aquifer, which underlies the main glacial aquifer. This sample had very high Fe and Mn concentrations and low O2. Tricca et al. (2001) inferred that the high degree of mobilization of “insoluble” elements was related to the low O2 content. This may be related to Th adsorption onto suspended Fe-Mn colloids (⬍ 0.45 m). There is no evidence of enhanced Th concentration in the low O2 waters studied here. To determine the availability of labile U and Th, a wash of the soil profile sample was carried out. This released relatively high amounts of U and Th into the water (see Table 2), and the measured activities were over 0.3 dpm/kg for 238U and above 0.012 dpm/kg for 232Th. The measured [234U] and [238U] are quite similar to vadose zone water samples and had a ␦234U ⫽ ⬃400‰. The 232Th concentrations are much higher than the estimated solubility limit in all of the samples of waters collected in the field. This must reflect a large amount of Th adsorbed onto a colloidal fraction. The [230Th/232Th] ratio in this sample was ⬃0.88, which could reflect the activity ratio in the bulk rock. The very low [230Th/234U] of ⬃0.025 indicates there is substantial fractionation of U from Th isotopes, with U being much more soluble. Due to the higher solubility of U in natural waters, the 234U atom produced by 234Th recoil could be leached with the water wash as opposed to the recoiled 230 Th atom, as thorium is less soluble in natural waters. This is the same factor by which the 232Th/238U is decreased in the leach over the value in the rock. For the typical concentration in the rocks in the vadose zone (1000 dpm/kg), we find that a relatively large fraction of the U (0.02%) and Th (0.001%) can readily be dissolved in water. The U concentration and isotopic composition of the leach is remarkably similar to the values found for the riverwater and Ojo Spring samples. All Ra isotopes are from the decay of parent Th isotopes. Ra activities were only determined on the filtered (0.45 m) frac- 1962 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran Fig. 2. Measured ␦234U and 238U activities for (A) the aquifer (filtered groundwater), river, and spring samples. Springwaters are shown as diamonds and the riverwater as a triangle. For the groundwater, unfiltered samples are shown as squares, and 0.45-m filtered water samples are shown as circles. Note that the aquifer samples are restricted to very low 238 U and very high ␦234U. Springs have high 238U and low ␦234U. (B) Data on filtered and unfiltered groundwaters only. This corresponds to the extreme left-hand side of Fig. 2a. tion due to the sampling method. Previous ultrafiltration studies by TWPB demonstrated that Ra is carried mainly on colloids as is expected for a surface-reactive element. Ra activities in the sampled wells range from 0.12 to 2.3 dpm/kg for 228Ra, from 0.04 to 0.54 dpm/kg for 226Ra, and from 0.17 to 2.86 dpm/kg for 224Ra (see Table 4). Despite the large variations in activity, the [228Ra/226Ra] ratios are all between 1.7 and 4.0, and for the daughter-parent [224Ra/228Ra] ratio (ignoring 228Th), the values are between 0.77 to 1.65 (see Table 4). The variations in the activity do not correlate with uranium activities or TDS but U, Th series in an aquifer or transport of U, Th series in an aquifer 1963 Fig. 3. Measured activities in the aquifer waters vs. the estimated age for (A) 238U and (B) ␦234U. Unfiltered samples are shown as squares, and 0.45-m filtered water samples are shown as circles. Well numbers as labeled. appears to correlate with the concentration of Ca ions in the groundwater (see Fig. 5). The samples with the higher Ra activities are also the samples with the higher [224Ra/228Ra] (see Fig. 6). In contrast to the behavior of [228Ra/226Ra] and [224Ra/226Ra] in the well waters, the ratio [226Ra/234U] ranges from 0.04 to 4.85. The ratio of [228Ra/232Th] ranges from 2.3 ⫻ 103 to 1.7 ⫻ 104 for the filtered samples. For the unfiltered samples, 1964 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran Fig. 4. Measured 232Th activities (on a logarithmic scale) vs. the groundwater age for groundwaters (unfiltered squares and filtered circles). Also shown are filtered (dark grey) and unfiltered (light grey) Ojo Spring waters (diamonds) and riverwater (triangles). Data for the filtered groundwater from the glacial aquifer from Tricca et al. (2001) are shown as X for comparison. It can be seen that the Th concentrations are at a very low level. The highest [232Th] for a filtered sample is 10⫺4 dpm/kg or 0.4 ppt. the range in [228Ra/232Th] is 18.4 to 1.8 ⫻ 104. These results are shown in Fig. 7. Note that 232Th decays directly to 228Ra, while 234U 3 230Th 3 226Ra. It can be seen from Fig. 7 that relative to the production rate in the water and suspended particles, [226Ra/234U] is much lower than the production ratio for six samples and is much greater for two samples. This requires efficient 226Ra removal for the low ratios and an additional source for 226Ra for the one high ratio. The [228Ra/232Th] and [224Ra/232Th] are all in great excess of the production ratio in the water. Note that the half-life of 224Ra is only 3.66 d and that the observed 224Ra/228Ra ⬇ 1 for all samples. 228Ra/224Ra and 224Ra/226Ra are approximately in secular equilibrium (for normal Th/U ratios) and cannot be provided by U or Th from the solution. This requires sites with either rapid exchange rates for the radium isotopes or sites that provide the Ra in the solution at or near the equilibrium value. These results show that the Ra isotopes are far in excess of the in situ production in the water. The measured Rn activities vary from 55 to 485 dpm/kg as shown in Table 4. These Rn activities are far higher than the measured activities of other isotopes in the decay series, as was observed by many previous workers. The lowest Rn activities are from samples that have high dissolved oxygen concentrations, which suggests that there has been gas exchange with the Table 4. Activities of short-lived nuclides in filtered groundwater (⬍0.45 m). Location Well Well Well Well Well Well Well Well Well #1 #2 #3 #4 #5 #6 #7 #8 #10 Water Age ka [222Rn]* dpm/kg [226Ra] 10 dpm/kg [228Ra] 10 dpm/kg [224Ra] 10 dpm/kg 冤 4.3 6.4 7.5 9.4 11.3 11.3 14.1 20.1 28.1 (73) (76) 309 (55) 485 103 282 365 381 41 ⫾ 14 538 ⫾ 26 210 ⫾ 7 43 ⫾ 6 74 ⫾ 15 330 ⫾ 22 388 ⫾ 27 80 ⫾ 8 115 ⫾ 50 2287 ⫾ 29 357 ⫾ 11 178 ⫾ 17 241 ⫾ 14 693 ⫾ 36 1536 ⫾ 22 121 ⫾ 32 — 2863 ⫾ 148 399 ⫾ 16 197 ⫾ 34 186 ⫾ 38 734 ⫾ 37 2534 ⫾ 151 165 ⫾ 16 — 1.25 ⫾ 0.07 1.12 ⫾ 0.06 1.11 ⫾ 0.22 0.77 ⫾ 0.16 1.06 ⫾ 0.08 1.65 ⫾ 0.10 1.36 ⫾ 0.38 ⫺3 * Numbers in parentheses are likely lower limit of 222 ⫺3 ⫺3 224 228 Ra Ra 冥 冤 226 228 Ra Ra 冥 0.36 0.24 0.59 0.24 0.31 0.48 0.25 0.66 Rn as possibly due to water/gas exchange and loss of Rn while drawing the water sample. U, Th series in an aquifer or transport of U, Th series in an aquifer 1965 Fig. 5. Activities of 224Ra (diamonds) and 228Ra (triangles) in aquifer waters plotted against Ca concentration. Note that at high Ca levels, the Ra is also high. air and hence loss of Rn gas while drawing the water. The supposed air incorporation and Rn loss in well 4 is surprising, as the water should have been pumped directly to the outlet. Excluding the samples with possible loss of Rn gas (shown by parentheses in Table 4, the Rn activities in all the samples lie in a relatively narrow range of 103 to 485 dpm/kg. Since the measured parent-daughter [226Ra/222Rn] in the water varies from 1.7 ⫻ 10⫺3 to 8.9 ⫻ 10⫺5, this confirms that the Ra in the water cannot be a significant source of Rn activity. If we consider ⬃103 times the Ra in the water was adsorbed on surfaces, then this would support the 222Rn. However, these sources of Ra and Rn would correspond approximately to over 5% of the decay rate of U per kg of aquifer rock. This has been the dilemma found by other workers from Rn and Ra studies. 4. MODELING GROUNDWATER ACTIVITIES We will follow the model of TWPB for the radionuclide transport model and will use exactly the same notation. The reader is referred to that study for a full treatment of the problem. The one-dimensional steady-state model is shown schematically in Fig. 4 TWPB, and the model parameters defined in Table 5 of that work. In the following, we use the activity of species “i” as iAw. This is to distinguish the theoretical model parameters from the measured activities. In the numerical calculations, we substitute the measured values [i] for iAw. 4.1. The Vadose Zone The activity of 238U in the water at depth x is from the weathering of the host rock, while the 234U activity is the sum of weathering and the ␣-recoil of 234Th from the rocks. Parameters in the vadose zone are indicated by primes. The activity in the vadose water of species i is given by 共i A⬘w 兲 . For 238U, this may be written: 238U A⬘w ⫽ r238UA⬘r w⬘238U x s⬘ w q v⬘ (1) and for the ratio of the specific activities of 234U to 238U, according to the model in the aquifer water may be written: 共 234UA⬘w/ 238UA⬘w兲 ⫽ 共w⬘234U ⫹ ⬘234Th 234U兲/w⬘238U (2) Here w⬘i is the supply rate weathering of species i, v is the water velocity in the vadose zone, q ⬅ n⬘/(1⫺n⬘), where n⬘ is the porosity and s is the saturation index. r and w are densities of rock and water, respectively, and x is the distance along the macroscopic flowline. The recoil fraction is ⬘i, and i is the decay constant of species i. The excess activity in per mil units is thus: 1966 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran Fig. 6. 224Ra vs. its parent 228Ra for aquifer samples. Note that five of the datapoints lie on a slope-1 line. However, samples #3 and #8 show clear excesses of 224Ra above the equilibrium values. 冉 冊 234U 䡠 ⬘234Th 关 U/ U兴 ⫺ 1 ⫽ ⫽ ␦ 234U ⫻ 10 ⫺3 w⬘238U 234 238 (3) To estimate the weathering rate of U in the vadose zone, we use Eqn. 3 and the value of [234U/238U] in Ojo Spring, [234U/238U] ⫽ 1.709. This gives w⬘238U/⬘234Th ⫽ 1.3 ⫻ 10⫺13 s⫺1, which is essentially the same for the river and Ojo Spring samples. For a recoil fraction ⬘234Th ⬃ 10⫺2, this would correspond to a weathering rate w⬘238U ⬃ 1.3 ⫻ 10⫺15s⫺1. Now consider the 238U activity directly to determine w⬘238U using Eqn. 1. The 238U activity of Ojo Spring water is 0.53 dpm/kg and that of the rock in the vadose zone is ⬃2600 dpm/kg. For a vadose zone thickness of 103 cm, this requires 0.53⫽ (2(1⫺n⬘)/n⬘sv⬘)w⬘238U2.6⫻103⫻103, where we have taken r / w • 2. For a porosity n ⬃ 0.2, we have w⬘238U ⬃ 1.3 ⫻ 10⫺7n⬘sv⬘. To estimate n⬘sv⬘, we consider that total water input per unit area into the aquifer is 0.7 cm per year (see “Sampling and Analytical Procedures”) so that at steady state, n⬘sv⬘ ⫽ 0.7 cm y⫺1 ⫽ 2.2 ⫻ 10⫺8cm s⫺1. Substituting this in the above equation for wi yields w⬘238U ⫽ 2.9 ⫻ 10⫺15s⫺1. The value of 103 cm for the depth of Ojo Spring is certainly high. There is thus remarkable agreement in the estimates of w⬘238U from the 238U concentrations and [234U/238U] if the recoil fraction is ⬃ 10⫺2. The ready availability of both 238U and high [234U/238U] in the vadose zone is evident both in the riverwater and in the waterleaching experiment. These atoms then become available for transport when flowing porewater is available. From the recoil fraction it can be estimated that the effective grain size of U-rich phases in the vadose zone is ⬃6 m. However, there is no evidence for ultrafine particles providing U in the vadose zone. The readily soluble U atoms in the vadose zone were most likely precipitated out of solution after weathering and are left on the surfaces due to evaporative losses. The estimated weathering rate derived above from Eqn. 1 may be compared to estimates from solutes in rivers. Typical chemical exhumation rates have been reported that are ⬃1 mm/kyr (Gaillardet et al., 1999), which corresponds to a weathering removal rate of 3 ⫻ 10⫺14 ms⫺1. If this is provided by weathering of a zone of 1-m thickness, this corresponds to w ⬃ 3 ⫻ 10⫺14s⫺1, for a 10-cm zone, w ⬃3 ⫻ 10⫺13s⫺1. It is not evident what surface zone thickness provides the runoff or how directly the weathering rate of U and Th, which are contained in accessory minerals, may be related to bulk weathering (cf. Morton and Hawsworth, 1999). The agreement is quite good for these very independent methods. As noted by the reviewers, it appears that U U, Th series in an aquifer or transport of U, Th series in an aquifer 1967 Fig. 7. [226Ra/234U] vs. [228Ra/232Th] for filtered (circles) and unfiltered (squares) aquifer water samples (NB logarithmic scales). Well numbers are labeled. If these two daughter-parent systems were in equilibrium, the values would be unity. The [226Ra/234U] values are not in equilibrium but only range from ⬃5 ⫻ 10⫺2 to 10. The [228Ra/232Th] range from ⬃10 to 106. may be more effectively removed than Na. It is certainly not to be expected that the “global” weathering rate should apply here. 4.2. U in the Groundwater The evolution of the U activities in the groundwater must consider the initial input of U from the vadose zone. However, a comparison of the 238U concentration and [234U/238U] values for the aquifer samples with the springwater and riverwater studied shows marked differences. The aquifer waters typically have 238U concentrations of about an order of magnitude less than that of either Ojo Spring or the riverwater. Further, the [234U/238U] values of the aquifer waters are an order of magnitude greater than that of the springwater and riverwater (see Fig. 2). As all data indicate that U is rather soluble and not strongly surface reactive, it is not possible to consider that the groundwaters are the result of the present vadose zone input unless there is a funneling mechanism that feeds vadose zone input into the aquifer with enormous dilution by U-free water or a mechanism of U precipitation before entering the aquifer. Further, to achieve the high [234U/238U] values in the aquifer, the original vadose zone input to the present aquifer must have been at much lower 238U concentrations (10⫺1 or less) than the current vadose zone values. This follows the inverse relation- ship between [234U/238U] (or ␦234U) and 238UAw, which has been extensively discussed by TWPB. The [234U/238U] values do not show any regular increase with age but are all at high values, the lowest being at [234U/238U] ⫽ 5.922. If we consider all of the [234U/238U] values for the aquifer samples and assume that they are not affected by any vadose input, then the values of w/234Th are found to lie between 9.4 ⫻ 10⫺15 and 1.8 ⫻ 10⫺14s⫺1. For a rather high value ⬃ 10⫺2, this implies w ⬃ 10⫺16s⫺1 and hence low weathering rates throughout the aquifer. The 238U activity in the waters is not correlated with the groundwater age. Here, the age was calculated assuming a flow velocity of 1.33m/yr over the distance from the well to the aquifer input. From consideration of the U concentrations, it is evident that the samples studied do not represent sampling along welldefined flow lines. The activity of 238U in the groundwaters according to Tricca et al. (2001) should be governed by the equation: 238U Aw ⫽ rA rw 234U共1 ⫺ n兲 x ⫹ 238UA w0 wnv (4) where 238UAw0 is the input from the vadose zone, and all other parameters refer to the aquifer rock. We next estimate the weathering rate from Eqn. 4 for U assuming the flow model using the U concentration and then 1968 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran consider the vadose zone input that originally provided the present aquifer water to be negligible. We take the two extremes with the highest and lowest U concentrations. This gives w ⫽ 2.3 ⫻ 10⫺17s⫺1 and 1.5 ⫻ 10⫺18 s⫺1 for wells 4 and 7, respectively. It can be seen that the inferred weathering rates are very low. Using the typical value of w/234Th ⬃ 10⫺14 s⫺1 found from the ␦234U results for the aquifer waters and the above weathering rates determined from the U concentration, we find 234Th ⫽ 2 ⫻ 10⫺4 to 2 ⫻ 10⫺3. It follows that within the aquifer, the weathering rates are very low and the recoil fraction is low and typical for grain sizes of U-containing minerals of ⬃30 to 100 m. 4.3. Application of the Model to Thorium Activities As shown in Fig. 4, the 232Th concentration is approximately that which would be estimated from thorite saturation with some relatively small enhancement. As the 232Th activities in the filtered waters are close to the estimated solubility limit, we conclude that 232Th is controlled by precipitation. The ratio [232Th/238U] in the waters is typically ⬃10⫺4 for the filtered samples and ⬃10⫺3 for unfiltered samples. The activity of 238U and 232Th in the host rocks is approximately equal, so if the chemical weathering rates of these two elements are roughly similar (w238U ⬃ w232Th), the gross differences in their activities in the water must be generated by adsorption-precipitation reactions. If the Th is precipitated out irreversibly at the solubility limit, then Th will build up on surface coatings. Application of this model requires the Th activity in the surface coating (due to precipitation) to grow over time with the continuous weathering of the host rocks in the aquifer. For the total amount of 232Th deposited on such a surface coating, it was shown by TWPB that: sc232ThA scS ⫽ rw 232Th232ThA rt (5) where 232ThAsc is the specific activity of the surface coating, S is the volume of surface coating per unit mass of aquifer rock, sc is the density of the surface coating, and t is the time required to build up the deposited 232Th. To store the equivalent of ⬃10% of the 232Th activity in the rock in the surface coating gives w232Tht ⫽ 10⫺1. For a weathering rate of w232Th ⬃ 10⫺13s⫺1, this requires a time of 3 ⫻ 104 years. The decay product of 232Th is 228Ra, which then decays to 228Th. We consider that the Ra is in solution and on the surface coating but in exchangeable sites. This is distinct from the behavior of Th isotopes, which are virtually all in the surface coating and not in exchangeable sites. The daughter of 228Ra is 228Th (1/2 ⫽ 1.9a), which will also be co-precipitated with the other Th. The surface coating should thus have an inventory of 234Th in steady state following the equation: 234Th sc234ThA sc ⫽ r共w 234Th ⫹ 234Th 234Th兲 234ThA r (6) The case for 230Th is different, as it will not be in steady state due to its long mean life. The governing equation is: sc230ThA scS ⫽ r共w 230Th ⫹ 230Th 230Th兲 238UAr•t. The ratio of 230Th to Eqn. 5 and 7: 232 (7) Th in the surface coating is thus from 230Th A sc/ 232ThA sc ⫽ 共w 230Th ⫹ 230Th 230Th兲 238UA r w 232Th232ThA r (8) For high weathering rates (w230Th ⱖ 3 ⫻ 10⫺15s⫺1), 230Th230Th ⬍⬍ w230Th, it follows that the ratio of 230Th/232Th in the surface coating should be: 230Th A sc/ 232ThA sc ⬇ w 230Th/w 232Th238UA r/ 232ThA r (9) As the ratios on the right hand side are approximately unity, the activity in the surface coating for these long-lived isotopes of Th should be approximately equal for this case. This follows the more detailed arguments presented by TWPB (see “Discussion and Conclusions”). Note, however, that for low weathering rates, the recoil contribution for 230Th in Eqn. 8 may overwhelm the weathering term. We use these relationships in discussing Ra and Rn in the following sections. 4.4. Application of the Model to Ra Activities In the arguments given for Th, it was shown that 230Th is precipitated out into non-exchangeable sites. The radium species as seen from the similar activities must certainly be on exchangeable-reactive sites. As shown by several other workers, most of the Ra is on these sites and not in solution. We can easily see this by first treating the problem without including the Th in non-exchangeable sites. The equilibrium 226Ra activity according to the model (equation 24 TWPB) without Th precipitation is: 226Ra A w⬁ ⫽ r共1 ⫺ n兲 共 226Ra ⫹ 0.5 230Th兲 230Th Ar wn 226Ra (10) where the term 226Ra is the ratio of the number of 226Ra atoms in the surface coating divided by the number of atoms in the water per unit volume of aquifer rock. Here, iAj is the activity of species i in phase j (j ⫽ rock, water). The term i is the fraction of “i” nuclei that recoil from grains or surfaces into the solution. For 230ThAr ⬃ 1800 dpm/kg, n ⬃ 0.2, r ⬃ 2, this yields: 226Ra A w⬁ ⬇ 2 ⫻ 0.8共 226Ra ⫹ 0.5 230Th兲 1.8 ⫻ 10 3 0.2 226Ra ⬇ 共 226Ra ⫹ 0.5 230Th兲 ⫻ 1.4 ⫻ 10 4 (11) 226Ra For the sum of the recoil terms, we roughly estimate ⬃10⫺2. Using a typical 226Ra concentration of ⬃10⫺1 dpm/kg, we obtain 226Ra ⬃ 1.4 ⫻ 103. Considering the estimated parameters, this is in reasonable agreement with the estimate by TWPB who give 226Ra ⬃ 700 for the exchangeable site model. These considerations also apply to the other Ra isotopes and confirm the well-established fact that Ra is highly surface reactive. It appears that most of the Ra is adsorbed on reactive surfaces. Note that this treatment does not include 226Rn sources from irreversible precipitates on the surface layer (e.g., 230 Th). We now consider the Ra isotopes using a model of irreversible Th precipitation with ⬃1/10 of the 232Th in the aquifer rock being stored on the surface layer, which requires w232Tht ⬃ 10⫺1. This is assumed to be from a first or earlier stage of U, Th series in an aquifer or transport of U, Th series in an aquifer 1969 Fig. 8. [226Ra/228Ra] vs. [224Ra/228Ra]. Dashed vertical line marks secular equilibrium for [224Ra/228Ra] ⫽ 1. Although Ra/228Ra are close to equilibrium and compatible with the model considering recoil effects (see section 4.4), the depressed values of [226Ra/228Ra] require special consideration. 224 more rapid weathering when the rock minerals are initially subject to chemical weathering. The weathering rate per second is w232Th ⬇ 3 ⫻ 10⫺12/tkas⫺1, where tka is the time scale in thousands of years. It follows from Eqn. 5 that 10 to 100 ka of weathering of the aquifer rock would be sufficient to provide this inventory (i.e., w232Th ⬃ 3 ⫻ 10⫺13 to 3 ⫻ 10⫺14s⫺1)). If we now consider that the inventory of Ra isotopes on the surface layer are mostly governed by the decay of 232Th, 230Th, and 228Th contained in the surface layer, then: Aw ⫽ sc 关 Rak̂ ⫺1 ⫹ f 228Ra 228Ra兴 232ThA *sc wRak̂ 1 (12) Aw ⫽ sc 关 Rak̂ ⫺1 ⫹ f 226Ra 226Ra兴 230ThA *sc wRak̂ 1 (13) Aw ⫽ sc 关 Rak̂ ⫺1 ⫹ f 224Ra 224Ra兴 232ThA *sc wRak̂ 1 (14) 228Ra 226Ra 224Ra We assume that 228Th and 232Th are in secular equilibrium. The terms Rak̂⫺1 and Rak̂1 are the rates of deposition (cm s⫺1) into solution and from solution onto the surface layer. The term fiRa is the fraction of iRa nuclides that are produced by decay of their parent in the surface coating and are directly lost by recoil to the water. The lifetime of 224Ra is much shorter than the other Ra isotopes, and this term may be significant compared with Rak̂⫺1. The terms f for both 228Ra and 224Ra are negligible due to their longer lifetimes. The term representing the ratio of atoms on the surface to those in solution (Ra) for this version of the model is different from the value calculated before without a precipitated Th source (cf. Eqn. 10) as the dominant source is taken to be in the surface coating. In the present case, we must now consider the precipitated Th isotopes as a source. This corresponds to Ra ⬃ 2 ⫻ 104 compared to the value as calculated before (i.e., Ra ⬃ 103). It is evident that the assumption of irreversible precipitation of Th isotopes in a surface coating by an earlier stage of weathering could provide the observed inventory of Rn and Ra. This still requires substantial loss of U and Th from the source that produced the surface layer, but it does not demand special leakage paths for both Ra and Rn. We consider this to be a plausible explanation of the observations. A detailed calculation of the parameters in this treatment could be done for every Ra-Rn datapoint. The particular choice of the amounts on the surface coatings and the parameters would change, but the general qualitative and quantitative agreement would not be altered. The observed ratios of 224Ra/228Ra and 226Ra/228Ra are informative (see Fig. 8). While four of the samples have 224 Ra/228Ra ⬇ 1, two of them have significantly higher values (well 1 is 1.25 ⫾ 0.02; well 8 is 1.65 ⫾ 0.01). These would require 共 f224Ra224Ra兲/Rak̂⫺1 ⬃ 0.2 to 0.7 (see Eqn. 15). This may be readily obtained with a plausible choice of values for the parameters (e.g., f ⬃ 10⫺2, ⬃ 10⫺4 cm, Rak̂⫺1 ⬃ 3 ⫻ 10⫺10s⫺1). A much more difficult problem relates to the ratio 1970 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran 226 Ra/228Ra. The 226Ra comes from the decay of 230Th in the U series, while 228Ra is from the direct decay of 232Th. As can be seen from Eqn. 13 and 14, 238 冊 (19) Ar ⬇ 10共w 230Th/ 230Th ⫹ 230Th兲 Ar (20) 230Th A sc ⫽ 共w 230Th/ 230Th ⫹ 230Th兲 ⫻ 10 232Th A sc 冉 238U Ar Ar 232Th It can be seen that: 关 Rak̂ ⫺1 ⫹ f 226Ra 226Ra兴 230Thsc 226 Raw/ 228Raw ⫽ Ra 关 k̂ ⫺1 ⫹ f 224Ra 224Ra兴 232Thsc 226 (15) 228 Since the decay constants for Ra and Ra are over two orders of magnitude smaller than that of 224Ra, it is not possible to expect the second terms in the numerator and denominator to be significant considering the estimate shown above for the corresponding terms for 224Ra. Thus we would expect the observed ratio to reflect 230Thsc/232Thsc ⬇ 238Ur/232Thr ⬇ 1. We can find no changes in parameters that would explain the low ratios observed (0.24 – 0.59). While we might appeal to an original source with [238U/232Th] ⬃ 1/4, there is no evidence in favor of such material in the aquifer rocks. If there is precipitation over sufficient time (⬎ 230Th), which is then stopped for 138 ka, then the 232Th is decreased by exp(⫺138 ka ⫻ 0.693). This will give a decrease in 230Th used in Eqn. 15 and will give a lower 226R/228Ra by that factor. A simple and intriguing solution to this problem might be that the original weathering that produced the surface coating of 230Th and 232Th ceased ⬃138 ka ago, which would give lower (230Th/232Th)sc. This would result in a decrease of the 230Th without affecting the 232 Th. The 230Th would have decayed since the cessation of Th precipitation and would match the observations. The remainder of the discussion presented above would be unaffected. An alternative model would be that the original weathering went on for a total time of ⬃28 ka and then stopped without the 230 Th reaching a steady-state value. This would also give a low 230 Th, as it would not be in secular equilibrium. The latter case cannot be in the regime of the present aquifer, which has very low weathering rates. This follows from Eqn. 8 because: 冉 共 230Th/ 232Th兲 sc ⫽ 1 ⫹ 冊 230Th 230Th 230 232 共 Th/ Th兲 r w 230Th (16) which would give 共230 Th/232 Th兲sc ⬃ 共3 to 30兲 230 232 ⫻ 共 Th/ Th兲R which would violate the observed 226 Ra/228Ra ratios and would require extremely long times to deposit the required amount of 230Th and 232Th. We infer that the Th coatings were either produced at an earlier stage of relatively rapid weathering (w ⬃ 10⫺13 to 10⫺14s⫺1), which ceased roughly 130 ka before the present aquifer developed or that the rapid weathering went on for 28 ka before the formation of the present aquifer waters. An alternative interpretation is found if the original condition of the surface coating of the aquifer had been at steady state with precipitation of Th. In that case, the following relationships apply: 冉 sc230ThA scS ⫽ r 230Th 232Th w 230Th ⫹ 230Th 230Th 冊 238U Ar A sc (w230Th/ 230Th ⫹ 230Th) 238U ⫽ Ar A sc w 232Th (17) (18) If we again assume that the surface coating contains ⬃10% of the total Th from the previous weathering, then: 冉 230Th 232Th 冊冒冉 冊 A sc A sc 238U 232Th For this ratio to be around unity requires that w230Th ⬃ 3 ⫻ 10⫺14s⫺1 (i.e., a very reasonable, normal weathering rate). To get a value of ((230ThA sc )/( 232ThA sc )) ⬃ 1/4 would correspond to weathering rate of 7 ⫻ 10⫺15s⫺1. Considering uncertainties, this is almost identical with the value of w⬘238U ⫽ 2 ⫻ 10⫺14s⫺1 found for the vadose zone from the 238U concentration. It follows that an alternative explanation for the low [224Ra/228Ra] values would be that the Th precipitation took place over long times (t ⬎⬎ 1/230Th) and reached steady state at a weathering rate of w ⬃ 7 ⫻ 10⫺15s⫺1. This would not change the results for the daughters of 232Th. In this case, the time restrictions on surficial weathering would be removed. However, the strong contrast between the present vadose waters and the old groundwater still requires input of low U waters into the aquifer. 5. DISCUSSION AND CONCLUSIONS The Ojo Alamo aquifer, which is in an arid region, represents a hydrologic system that is both old (up to 25 ka) and slow moving. The isotopic composition of U in the groundwater is highly enriched in 234U relative to the equilibrium value. The typical value in the aquifer is ␦234U ⬃ 6000‰. These groundwaters also exhibit low 238U concentrations as a result of low weathering rates within the aquifer. The U concentration is the same in both the filtered and unfiltered water samples and appears to be essentially completely in solution. The high ␦234U reflects the effects of a normal amount of 234Th recoil and low weathering rates following the relationship: ␦ 234U ⫽ 234U 234Th ⫻ 10 3 w 238U (21) where w238U ⬃ 2 ⫻ 10⫺18 to 2 ⫻ 10⫺17s⫺1 and 234Th ⬃ 2 ⫻ 10⫺4 to 2 ⫻ 10⫺3. In contrast to the aquifer waters, the present vadose zone waters, springwaters, and riverwater have relatively low ␦234U ⬃ 500‰ and high 238U concentrations. This is supported by laboratory leaches of vadose zone material with water. It is not possible to evolve the groundwaters from the present vadose zone input with high U concentrations unless there is an almost complete removal (⬃90%) of U before introduction into the aquifer. There is no evidence for such a process of removal and storage of U in this system. It follows that the present inventory of water in the Ojo Alamo aquifer had to be derived under very different conditions. This requires that the original vadose zone input responsible for providing the present aquifer had to have low U concentrations, at least one decade below the current vadose zone input. The temporal change inferred for the vadose zone cannot be attributed to anthropogenic processes, as the area has very little agricultural or industrial activity (including U mining), and ore processing is not associated with this area. If these assumptions are correct, then we must conclude that there has been a natural change that U, Th series in an aquifer or transport of U, Th series in an aquifer occurred several thousand years ago in the nature of the vadose waters. One possibility is that this difference is the result of a climatic change where before ⬃5 ka ago there was much less evapotranspiration and more rainfall. This could provide much lower 238U concentrations in the vadose waters. This earlier state would have had to persist for at least 10 ka to fill the aquifer. The extent to which this hypothesis is consistent with paleoclimatic records in the southwestern United States must be evaluated. The observed effects on the U concentration and [234U/238U] are clear. In recent papers, Polyak and Asmeron (2001) and Polyak et al. (2001) proposed a wetter and cooler late Holocene climate in the southwestern United States based on a study of mites preserved in stalagmites. There is thus some independent evidence for this proposal. However, we cannot argue that the current net precipitation rate is inadequate to provide the water in the Ojo Alamo over the past 104 years The 232Th concentrations in filtered waters were found to be approximately at the saturation level. This is in accord with the results of Tricca et al. (2001) on an aquifer at the BNL Long Island site. The precise value for saturation with ThO2 (Langmuir and Herman, 1980) depends on the concentration of other ligands. The observed ratio 232Th/238U in filtered waters is many orders of magnitude below the ratio in aquifer rocks. The 232 Th/238U ratio in unfiltered water samples is also far below that in the rocks. It was also found that the ratio [228Ra/232Th] in the waters is far below the ratio necessary to provide the [228Ra] in the waters, requiring a predominant source for 228Ra from the rock and surface coatings. These observations support the idea that the Th concentration in natural waters is most commonly in saturation equilibrium (TWPB). Any Th produced by weathering once the saturation condition is achieved and maintained will then be irreversibly precipitated. In that case, all models of transport are invalid if only surface coatings, which are in reversible equilibrium and with exchangeable sites for Th, are considered. The transport of Th and any of the daughter elements must therefore be modified to include the irreversible precipitation of Th isotopes. This greatly modifies the equations governing a large number of nuclides (see TWPB). The 232Th/238U ratio in waters is thus not simply related to the weathering rates but must also involve the saturation condition. If 232Th/238U in water is not the ratio of the weathering rates, then 关232 Th/238 U兴 ⫽ w232Th/w238U (see TWPB, section 5). The [232Th] in the water is simply the 232Th of a saturated solution. Changes in the chemical state of the aquifer (including fO 2 and the presence of complexing ligands) may, of course, drastically change the solubility limits and the role of irreversible precipitation to reversible exchange with the solution. If we first ignore the irreversible precipitation of Th and consider only exchangeable sites on surface coatings (i.e., ignoring Th precipitation), it is found that almost all (99.9%) of the Ra must reside in the coatings (i.e., Ra ⬃ 103). This calculation simply uses the flow model with weathering rates, recoil, and the bulk-rock activity (cf. Eqn. 10 and 11) with exchangeable sites for Ra. The Rn found in all aquifer water samples requires a source that is far in excess of what would be produced by recoil from and weathering of the aquifer rock. If one considers 222Rn, then it is found that in the filtered waters [222Rn/226Ra] ⬃ 10⫺3, which also requires that most of the Ra (⬃99.9%) is on surface reactive sites. This is in accord with 1971 box model calculations done by other workers (cf. Ku et al., 1992; Cowart and Burnett, 1994; Andrews et al., 1989; Krishnaswami et al., 1982). The radon isotopes, 228Ra and 224Ra, are found to be roughly in equilibrium with small effects from recoil enhancing 224Ra. The ratio [226Ra/228Ra] is low (⫻1/4) compared to what would be expected for a source with [238U/232Th] ⬃ 1. This requires that there be a shortfall in 226 Ra production (see below). Grossly, the Ra isotopes are essentially well behaved with regard to normal rock sources. The 222Rn and Ra concentrations each require sources corresponding to ⬃10% of the production in the bulk aquifer rock. This would require special leakage paths both for Rn and Ra. We now consider the results for 232Th and the conclusion that it is saturated in the water and, hence, the role of nonexchangeable surface sites for Th. If saturated, then the 232Th in a unit volume of aquifer is the amount in the rock plus the amount precipitated on the surface of the grains in that volume, the amount in the fluid being the saturation concentration times the mass of water in the pores. This amount is negligible. The amount of 232Th in the surface precipitate is proportional to the weathering rate and the time duration of weathering. The activity of Th in the surface is 共r w232Th 232ThAr)t. As 230Th will also be precipitated, then such a surface layer will contain both isotopes. As shown by TWPB, a surface layer resulting from an earlier stage of weathering could provide a source for both the Ra and Rn. It was noted above that [226Ra/228Ra] was below what was expected from rock sources with [238U/232Th] ⬃ 1. This could be achieved if the initial weathering that produced the precipitate Th stopped ⬃130 ka, allowing the 230Th (parent of 226Ra) to be depleted by a factor of 4. Alternatively, it could be the result of surficial weathering achieving steady-state deposition of 230Th with a high weathering rate of w232Th ⬃ 7 ⫻ 10⫺15s⫺1. In summary, this study shows that the transport of U,Th series nuclides in a slow-moving aquifer can be reasonably described by a simple flow and reaction model. Physical insights into the hydrologic-chemical dynamics may be gained by combining adequate datasets with consideration of theoretical models. Further studies in aquifers with more detailed knowledge of hydrologic flow from the vadose zone inputs through flow paths in the aquifer is required. Under the condition that roughly 10% of the original Th was weathered in an earlier weathering stage, then this would provide for the Ra and Rn in the aquifer waters and surface coatings. As the coatings must be very thin, a ready path for leakage of the rare gas Rn is available and the release of Ra isotopes into the water can easily take place. The near equilibrium of Ra isotopes is maintained despite their different lifetimes. The observations presented here are in strong support of this model. Acknowledgments—This work was supported by DOE DE-FG0388ER13851. Caltech Division Contribution No. 8775(1086). Instruction in the arts of U-Th chemistry and mass spectrometry was kindly given by Dr. J. Chen. We acknowledge the gracious aid in initial field support from Fred Phillips and Doug McGhee (New Mexico Institute of Technology) and Dale Worth from the Bureau of Land Management, Farmington. In particular, Fred Phillips made critical contributions to our understanding and to this report. Comments by the referees and the associate editor on both substance and style were very helpful. For kindly providing access and support, we thank members of the Navajo 1972 B. C. Reynolds, G. J. Wasserburg, and M. Baskaran Agricultural Products Industry (NAPI) Feedyard, The Carson School, the Navajo Indian Irrigation Project (NIIP), and especially the Navajo Tribal Utility Authority (Shiprock). Field assistance by Sarah Trimble of Wayne State University was of great help. Associate editor: G. Helz REFERENCES Anderson R. F., Bacon M. P., and Brewer P. G. (1982) Elevated concentrations of actinides in Mono Lake. Science 216, 514 –516. Andrews J. N., Ford D. J., Hussain N., Trivedi D., and Youngman M. J. (1989) Natural radioelement solution by circulating groundwaters in the stripa granite. Geochim. Cosmochim. Acta 53, 1791–1802. Banner J. L., Wasserburg G. J., Chen J. H., and Moore C. H. (1990) 234 U- 238U- 230Th- 232Th systematics in saline groundwaters from central Missouri. Earth Planet. Sci. Lett. 101, 296 –312. Baskaran M., Murphy D. J., Santschi P. H., Orr J. C., and Schink D. R. (1993) A method for rapid in-situ extraction and laboratory determination of Th, Pb, and Ra isotopes from large volumes of seawater. Deep Sea Res. 40, 849 – 864. Brimhall R. M. (1973) Groundwater hydrology of Tertiary rock of the San Juan Basin, New Mexico. In Cretaceous and Tertiary Rocks of the Southern Colorado Plateau, A Memoir of the Four Corners Geological Society (ed. J. E. Bassett), pp. 197–207, Four Corners Geological Society. Castro M. C., Stute M., and Schlosser P. (2000) Comparison of 4He ages and 14C ages in simple aquifer systems: Implications for groundwater flow and chronologies. Appl. Geochem. 15, 1137–1167. Chen J. H., Edwards R. L., and Wasserburg G. J. (1986) 238U, 234U and 232 Th in seawater. Earth Planet. Sci. Lett. 80, 241–251. Cowart J. B. and Burnett W. C. (1994) The distribution of uranium and thorium decay-series radionuclides in the environment: A Review. J. Environ. Qual. 23, 651– 662. Dickson B. L. and Davidson M. R. (1985) Interpretation of 234U/238U activity ratios in groundwaters. Chem. Geol. 58, 83– 88. Frohlich K. and Gellermann R. (1987) On the potential use of uranium isotopes for groundwater dating. Chem. Geol. 65, 67–77. Gaillardet J., Dupré B., Louvat P., and Allègre C. J. (1999) Global silicate weathering and CO2 consumption rates deduced from the chemistry of large rivers. Chem. Geol. 159, 3–30. Krishnaswami S. and Seidemann D. E. (1988) Comparative study of Rn, Ar, and Ar leakage from rocks and minerals: Implications for the role of nanopores in gas transport through natural silicates. Geochim. Cosmochim. Acta 52, 655– 658. Krishnaswami S., Graustein W. C., Turekian K. K., and Dowd J. F. (1982) Radium, thorium and radioactive lead isotopes in groundwaters: Application to the in situ determination of adsorption-desorption rate constants and retardation factors. Water Resour. Res. 18, 1633–1675. Ku T. L., Luo S. D., Leslie B. W., and Hammond D. E. (1992) Decay-series disequilibria applied to the study of rock-water interaction and geothermal systems. In Uranium Series Disequilibrium: Applications to Earth, Marine and Environmental Sciences (eds. M. Ivanovich and R. S. Harmon), pp. 209 –333. Oxford Science Publications, Oxford. Langmuir D. (1978) Uranium solution-mineral equilibria at low temperatures with applications to sedimentary ore deposits. Geochim. Cosmochim. Acta 42, 547–569. Langmuir D. and Herman J. S. (1980) The mobility of thorium in natural waters at low temperatures. Geochim. Cosmochim. Acta 44, 1753–1766. Moore W. S. (1976) Measurement of 228Ra in the deep ocean. Deep Sea Res. 23, 647– 651. Morton A. C. and Hawsworth C. R. (1999) Processes controlling the composition of heavy mineral assemblages in sandstones. Sediment. Geol. 124, 3–29. Phillips F. M., Peeters L. A., Tansey M. K., and Davis S. N. (1986) Paleoclimatic inferences from an isotopic investigation of groundwater in the central San Juan Basin, New Mexico. Quaternary Res 26, 179 –193. Phillips F. M., Tansey M. K., Peeters L. A., Cheng S. L., and Long A. (1989) An isotopic investigation of groundwater in the Central San Juan Basin, New-Mexico: 14C dating as a basis for numerical flow modeling. Water Resour. Res. 25, 2259 –2273. Polyak V. J. and Asmerom Y. (2001) Late Holocene climate and cultural changes in the southwestern United States. Science 294, 148 –151. Polyak V. J., Cokendolpher J. C., Norton R. A., and Asmerom Y. (2001) Wetter and cooler Late Holocene climate in the southwestern United States from mites preserved in stalagmites. Geology 29, 643– 646. Rama and Moore W. S. (1984) Mechanism of transport of U-Th series radioisotopes from solids into groundwater. Geochim. Cosmochim. Acta 48, 395–399. Reid D. F., Key R. M., et al. (1979) Radium, thorium and actinium extraction from seawater using a improved manganese oxide-coated fiber. Earth Planet. Sci. Lett. 43, 223–226. Semkow T. M. (1990) Recoil-emanation theory applied to radon release from mineral grains. Geochim. Cosmochim. Acta 54, 425– 440. Stute M., Clark J. F., Schlosser P., Broecker W. S., and Bonani G. (1995) A 30,000 yr continental paleotemperature record derived from noble-gases dissolved in groundwater from the San Juan Basin, New Mexico. Quaternary Res 43, 209 –220. Tansey M. K (1984) An integrated isotopic/physical approach to a numerical model of groundwater flow in the San Juan Basin. M.S. thesis, New Mexico Institute of Mining and Technology. Tricca A., Porcelli D., and Wasserburg G. J. (2000) Factors controlling the groundwater transport of U, Th, Ra, and Rn. P. Indian A.S.-Earth 109, 95–108. Tricca A., Wasserburg G. J., Porcelli D., and Baskaran M. (2001) The transport of U- and Th-series nuclides in a sandy unconfined aquifer. Geochim. Cosmochim. Acta 65, 1187–1210. Vigier N., Bourdon B., Turner S., and Allegre C. J. (2001) Erosion timescales derived from U-decay series measurements in rivers. Earth Planet. Sci. Lett. 193, 549 –563.
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