The study was conducted to investigate the hydrological system of ‘Mianwali’ area, which comprises an alluvium aquifer. Groundwater dynamics including groundwater direction, velocity and recharge mechanism were investigated to assess the groundwater sources conservation in the area. Hydrological samples were collected and analyzed for stable isotopes (18O and 2H); radioisotopes (3H), chloroflourocarbons (CFCs) and groundwater real and filtration velocities measured to understand the groundwater dynamics. Isotopic data suggested a variant recharge mechanism due to localize impacts of canals, lake and river. Groundwater residence time, using Tracer Lump Parameter Model (LPM), and CFCs data suggest a very young water in the range of 14–59 years old. The real and filtration velocities of groundwater found to be 22.2 cm/day and 10.94 cm/day, respectively, in south-west direction and in-situ effective porosity of the aquifer was 49.3%. The hydraulic conductivity of the aquifer was estimated using grain size analysis that varies from 48 to 278 m/day with average value of 139 m/day.

  • Groundwater recharge.

  • Groundwater direction.

  • Groundwater velocity.

  • Porosity of aquifer.

  • Hydraulic conductivity of aquifer.

Graphical Abstract

Graphical Abstract
Graphical Abstract

Increasing population and industrialization have put worldwide pressure on water resources, under natural and anthropogenic conditions. The structure, status, and processes of the groundwater system, which can only be acquired through scientific research efforts, are critical aspects of water resource management. In this regard, stable and radioactive isotope data provide essential tools in support of water resources management (Chen et al. 2019). Many of the present-day methodologies in water science have developed with limited data and data processing procedures. Due to the growth and improvement of modern technologies, a new generation of data has been made available to water resource management, which have a much higher spatial and temporal resolution (Peters et al. 2018). An application of this includes tracing the evolution of a water mass from its origin as precipitation, surface water through its recharge processes, and ending at its appearance in an aquifer. Besides this, isotopes used to determine the origin of specific solutes in groundwater. The inventory of isotopes, which has significant implications for water resource management, has grown in recent years (Shi et al. 2017). Some researchers are using models by applying isotope tools such as stable (16O, 17O, 18O, 1H, 2H) and radioactive (3H) isotopes in water to understand the hydrological processes (Polona & Zoltan 2020). Some researchers applied environmental isotopes along with hydro-chemical data as powerful tools for investigating groundwater flow conditions (Doveri & Mussi 2014; Zhong et al. 2019), including hydrogeological investigations of alluvial formations (Liu & Yamanaka 2012; Yoshioka et al. 2016). A multifaceted analysis using a suite of tracers (multi-tracer approach) can effectively be used to interpret complex groundwater flow conditions, which cannot be observed directly. Multivariate analysis methods, such as principal component analysis and factor analysis, which allow for the dimensionality of multiple hydro-chemical indicators to be reduced and features of groundwater flow conditions to be extracted, have been widely applied in hydrological system analysis (Valder et al. 2012). Understanding of groundwater recharge sources, and flow pathways and rates (dynamics) is key to sustainable management of aquifers including preservation of drinking water security and integrity of the aquifers and surface waters that receive inflows from groundwater. Three main modelling approaches to provide a statistical description of groundwater age (i.e. residence, transit or travel time) are described: (1) lumped parameter models (LPMs); (2) mixing cell models; and (3) direct age models. The mean of which can be combined with a flow path length to estimate a lateral groundwater flow velocity and flux across an interface (such as groundwater recharge or discharge) (Cook & Böhlke 2000). Tracer LPMs (used in present studies) have most commonly been used to estimate mean groundwater ages (i.e. mean residence times), which can be used to estimate fluxes when combined with a flow path length and a representative porosity value. The LPM approach uses a statistical description of the variability of groundwater age, which is represented by the weighting function used in convolution. Stable isotopes can be used in such models to determine the altitude of recharge, flow distances and the hydraulic gradient (Chris & Brian 2014).

Tracers such as isotopes and chlorofluorocarbons (CFCs) for tracing and dating groundwater are important tools in groundwater research and in sustainable management of groundwater resources. Important applications in shallow groundwater include estimation of groundwater recharge and evaluation of the fate of contaminants, because meaningful groundwater ages give the possibility to determine the residence time of groundwater and the dissolved contaminants (Cook et al. 1995; Johnston et al. 1998). Recently the use of CFC gases (CFC-11, CFC-12, and CFC-113) had a revival as age dating tools due to improved sampling and analysis techniques (Busenberg & Plummer 1992). This has led to a strong increase in the research on CFC-gases as tracers and age-dating tools in groundwater often in combination with isotopes (Hinsby et al. 1992; Dunkle et al. 1993; Ekwurzel et al. 1994; Oster et al. 1996).

Pakistan, like many other developing countries, is suffering from huge shortfall of drinking water. Conservation of groundwater resources managed by gathering the critical information about hydrological system of the area.

The study area is an important area as it has a Pakistani huge nuclear power plant complex comprising of five operational nuclear power plants (NPPs). Limited studies about understanding of groundwater dynamics and hydrological process in this area have carried out. Previous hydrological studies in this area have focused on spatio-temporal variations in the groundwater quality, groundwater nitrate dynamics (Akhtar et al. 2019; Lytton et al. 2021), and the groundwater quality mapping by using Electric Resistivity Survey (ERS) (Samreen 2011). Geochemical data of water to identify hydrological processes in the Mianwali area were gathered (Ghaffar & Naveed 2020), but how recharge sources influence the flow of groundwater in the aquifer is still unclear. There is not a single study carried out in the area to investigate the groundwater dynamics and hydrological processes by applying the advance isotopic tools (stable and radiotracer) and groundwater dating tools such as H-3 and CFCs. Therefore, further research is needed to provide information for hydrological processes in the area to enable sustainable use and conservation of groundwater sources.

This study is the first comprehensive research work in the Mianwali area to understand groundwater dynamics and hydrological processes. This hydrological investigation comprises identification of water recharge source, groundwater residence time and groundwater dynamics carried out in the area by applying stable isotopes, radiotracer studies and groundwater dating tools to estimate groundwater recharge sources, groundwater real velocity, filtration velocity and in-situ effective porosity. The analytical and experimental data and findings of this study will help to understand the hydrological system near NPP site and will provide basic information used to predict the fate of radioactive contaminants released into groundwater in case of an accident and/or during normal operations.

Study area

The area is located in the Mianwali District on the left bank of the river Indus, about 32 km south of Mianwali and 280 km south-west of Islamabad. The area has complex hydrological system as the river Indus and main canals such as ‘Thal canal’ and ‘Chashma-Jhelum Link (CJL) Canal’ flow through the project area. Geologically, the study area underlain by unconsolidated aeolian and alluvial deposits of quaternary age. The aeolian deposits in the study area are mainly composed of fine sands. These deposits overlie the alluvial sediments in the form of sand dunes. The exploratory boreholes (160–366 m), drilled by WAPDA (Water and Power Development Authority) and PAEC (Pakistan Atomic Energy Commission) in and around the study area bottomed in alluvium. Hence, no definite information is available regarding the total thickness of alluvial deposits. However, deep boreholes drilled by WAPDA in the Punjab reveal that unconsolidated sediments have deposited on semi-consolidated Tertiary rocks or on a basement of metamorphic and igneous rocks of Precambrian age and their thickness is generally more than 300 m (NESPAK 1992; IAD 2008). The climate of study site is about 200 m above mean sea level and its surroundings are generally arid and hot, with a long hot summer season and cold dry winters. The average annual rainfall in the area is about 385 mm. A location map of the study area and surface water channels/reservoirs is shown in Figure 1.
Figure 1

Location map of study area.

Figure 1

Location map of study area.

Close modal
Water samples collected from the surface bodies, hand pumps, boreholes and tube wells located in the area under investigation. Three sampling campaigns were launched, during March 2019 (Pre-monsoon), September 2019 (Post-monsoon) and December 2019 (transition period). Measurement of pH done using a digital pH meter (Adwa, Model AD1030). The EC and TDS of collected samples were measured with a portable conductivity meter (WTW-Model LF 95) calibrated with standard solutions from Hanna instruments (Italy). During sampling, SOPS followed to avoid isotope fractionation through evaporation or diffusive loss of water vapor, and/or isotope exchange with the surroundings as well as with the bottle material. Stable isotope (18O and 2H) analysis was carried out as per IAEA Standard Operating Procedure for the Liquid-Water Stable Isotope Analyzer. The co-ordinates of sampling points given in Table 1 and shown in Figure 2.
Table 1

Co-ordinates of samples

Sample IDSample typeLatitudeLongitudeSample IDSample typeLatitudeLongitude
CP-1 HP 32.45661 71.54375 CP-25 HP 32.40847 71.46541 
CP-2 HP 32.43036 71.52547 CP-26 HP 32.42730 71.46650 
CP-3 HP 32.44627 71.51025 CP-27 HP 32.37600 71.51247 
CP-4 HP 32.44891 71.48688 CP-28 HP 32.41188 71.48252 
CP-5 HP 32.41408 71.53527 CP-29 TW 32.33511 71.43411 
CP-6 HP 32.40300 71.536275 CP-30 River 32.36263 71.40225 
CP-7 HP 32.40316 71.49663 CP-32 Canal 32.38413 71.47727 
CP-8 HP 32.38066 71.47891 CP-33 HP 32.40638 71.43391 
CP-9 HP 32.36458 71.46977 CP-34 Outfall 32.40436 71.43083 
CP-10 HP 32.35708 71.47244 CP-35 HP 32.39811 71.44336 
CP-11 HP 32.31625 71.45625 CP-36 HP 32.38463 71.42961 
CP-12 HP 32.30513 71.43569 CP-37 Outfall 32.37241 71.42158 
CP-13 MP 32.29361 71.41627 CP-38 HP 32.37358 71.41497 
CP-14 HP 32.33638 71.39166 CP-39 MP 32.39152 71.45550 
CP-15 HP 32.36263 71.40225 CJL Canal 32.39541 71.46567 
CP-16 HP 32.36244 71.413 CP-17 TW 32.36713 71.42916 
CP-17 HP 32.36713 71.42916 CP-36 TW 32.38463 71.42961 
CP-18 HP 32.35961 71.4525 CP-39 TW 32.39152 71.45550 
CP-19 HP 32.33944 71.43072 CP-49 HP 32.32419 71.47894 
CP-20 HP 32.3505 71.40733 CP-50 HP 32.32808 71.52125 
CP-21 HP 32.35116 71.49183 CP-51 HP 32.28622 71.50683 
CP-22 HP 32.29986 71.46511 CP-52 TW 32.30638 71.39547 
CP-23 HP 32.30508 71.36880 CP-53 HP 32.28580 71.47016 
CP-24 HP 32.36555 71.53211 HP: Hand Pump; Tw: Tube well; MP: Motorized pump 
Sample IDSample typeLatitudeLongitudeSample IDSample typeLatitudeLongitude
CP-1 HP 32.45661 71.54375 CP-25 HP 32.40847 71.46541 
CP-2 HP 32.43036 71.52547 CP-26 HP 32.42730 71.46650 
CP-3 HP 32.44627 71.51025 CP-27 HP 32.37600 71.51247 
CP-4 HP 32.44891 71.48688 CP-28 HP 32.41188 71.48252 
CP-5 HP 32.41408 71.53527 CP-29 TW 32.33511 71.43411 
CP-6 HP 32.40300 71.536275 CP-30 River 32.36263 71.40225 
CP-7 HP 32.40316 71.49663 CP-32 Canal 32.38413 71.47727 
CP-8 HP 32.38066 71.47891 CP-33 HP 32.40638 71.43391 
CP-9 HP 32.36458 71.46977 CP-34 Outfall 32.40436 71.43083 
CP-10 HP 32.35708 71.47244 CP-35 HP 32.39811 71.44336 
CP-11 HP 32.31625 71.45625 CP-36 HP 32.38463 71.42961 
CP-12 HP 32.30513 71.43569 CP-37 Outfall 32.37241 71.42158 
CP-13 MP 32.29361 71.41627 CP-38 HP 32.37358 71.41497 
CP-14 HP 32.33638 71.39166 CP-39 MP 32.39152 71.45550 
CP-15 HP 32.36263 71.40225 CJL Canal 32.39541 71.46567 
CP-16 HP 32.36244 71.413 CP-17 TW 32.36713 71.42916 
CP-17 HP 32.36713 71.42916 CP-36 TW 32.38463 71.42961 
CP-18 HP 32.35961 71.4525 CP-39 TW 32.39152 71.45550 
CP-19 HP 32.33944 71.43072 CP-49 HP 32.32419 71.47894 
CP-20 HP 32.3505 71.40733 CP-50 HP 32.32808 71.52125 
CP-21 HP 32.35116 71.49183 CP-51 HP 32.28622 71.50683 
CP-22 HP 32.29986 71.46511 CP-52 TW 32.30638 71.39547 
CP-23 HP 32.30508 71.36880 CP-53 HP 32.28580 71.47016 
CP-24 HP 32.36555 71.53211 HP: Hand Pump; Tw: Tube well; MP: Motorized pump 
Figure 2

Sampling locations (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Figure 2

Sampling locations (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Close modal

The Los Gatos Research (LGR) Liquid Water Isotope Analyzer was used for stable isotope analysis. The LGR Liquid Water Isotope Analyzer provides measurements of δ18O, and δ2H of water in liquid with matchless performance.

Tritium analysis of water samples performed by Liquid Scintillation Counter (LSC), Quantulus-1220 followed by electrolytic enrichment. The uncertainty in measurement was about 0.8 TU. All the samples distilled on routine basis to remove impurities. About 01 g sodium peroxide added to 250 ml distillate and solution thus prepared transferred to electrolysis cells for electrolytic enrichment. All the 20 cells placed in a specially fabricated refrigerator and connected in series. A total charge of 700 AH was passed to get about 14–15 ml of enriched sample. The refrigerator is set to maintain a temperature of 0 ± 1 °C around the cells. Three spikes were included in each run of electrolysis to determine the degree of enrichment. The average enrichment factor is about 16.

On completion of electrolysis, the electrolyte was neutralized by adding 04 g lead chloride. The samples again distilled to recover the sample water. 8 ml of enriched sample was taken in 20 ml polyethylene vial and 12 ml scintillation cocktail (Ultima Gold LLT) was added to it. The contents of the vial were mixed up thoroughly by vigorous manual shaking. A batch of samples comprising 3 background samples, 3 standard samples, 3 enriched spikes, 3 un-enriched spikes and 17 enriched samples having unknown tritium concentration were placed in the LSC. Unquenched standards of tritium (Packard Instrument) were used to measure and optimize the counting efficiency of LSC. All the samples were counted for a preset time of 50 minutes and the whole batch cycled 10 times. Finally counting data was statistically evaluated and processed by excel template to calculate the tritium activity (TU). This template comprises the calculation of the mean background count rate, net count rate of enriched spike, net mean count rate of standard and net count rate of enriched unknown samples.

Groundwater samples were collected for CFCs during the sampling campaigns. The sampling bottle was purged according to the USGS National Field Manual. The bottle was placed into a 3 liter SS beaker and then inserted the end of the copper tubing from the pump all the way into the bottom of the sampling bottle. The sample was allowed to pass into the bottles and continued to overflow the bottle, while sitting in the outer beaker, until one liter of water was flushed through the bottle. The bottle was tapped to dislodge air bubbles and tightly capped while submerged in water.

The radon concentration of water samples collected around the NPPs and measured using RAD-7 to assess groundwater discharge phenomenon in the area. Twenty water samples were collected in 250-ml vials from different sources i.e. boreholes, tube wells, canals, hand pumps as well as the outfalls of power plants. CFC concentrations in groundwater samples were carried out using GC-EC equipped with a dedicated CFC sample preparation system. The sampling bottle purged according to the USGS national field manual to avoid any air bubble entrapped in sample.

Groundwater dynamics

Total 24 piezometers around NPPs site were constructed and investigated to monitor water table fluctuation on monthly basis over a period of one year and to determine the general groundwater flow direction in the study area. Portal elevations and horizontal coordinates of all the boreholes with reference to a benchmark were determined to correct the values of hydraulic heads accordingly. Water depths from the portal of each borehole measured using a depth meter. Measurements plotted on a map of the area and equipotential lines were drawn connecting points of equal elevation (Fetter 1980). Water table contour maps of the study area generated with respect to the temporal variation in static water level from which the major and minor flow directions delineated. After assessment of general flow direction a setup for groundwater real and filtration velocities was constructed at the central place between NPPs site and the river Indus (anticipated discharge area). The setup comprising a set of boreholes for multi-well technique and a borehole for point dilution technique to determine local groundwater flow direction and velocity. The setup for multi-well technique comprised of an injection borehole at the center and two semicircles of satellite boreholes at 200 and 500 cm, which used as detection boreholes. The semicircle pattern selected because of groundwater flow direction estimated from the water table contour map described as above. The inner semicircle comprises of 07 observation wells from T1 to T7, with each well located at 26° apart from one another, while the outer semi-circle has 09 monitoring wells from T8 to T16, 20° apart from each other as shown in Figure 3.
Figure 3

Schematic diagram of experimental setup for groundwater dynamics.

Figure 3

Schematic diagram of experimental setup for groundwater dynamics.

Close modal

About 280 mCi iodine-131 (131I) in the form of sodium iodide solution was injected in the injection well on 3rd November, 2019 at 16:45 hours. Background radiation in air and water measured well before the injection of radiotracer (131I). Monitoring of radioactivity in all the detection wells was initiated just after the injection of the tracer and continued until the count rate reached in the limit of three times the standard deviation (σ) in the detection wells. An additional borehole for point dilution technique (PDT) also constructed at 500 cm distance from central borehole in general groundwater flow direction in the rear (Northeast) direction of the setup. A rheometer probe equipped with multiple accessories such as control unit, data logger, computer, tracer injection system, homogenization system and a radiation detection system employed to determine the filtration velocity at specified location. The filtration velocity depends on two variables; the temporal response of the detector and the extent of distortion of the groundwater flow field caused by the presence of the well (Tazioli 1973; Udong 2007).

The concentration of the tracer injected in the measurement volume decreases exponentially with time. The filtration velocity ‘’ of groundwater (Equation (2)) derived from Equation (1).
(1)
(2)
where Q is discharge through the well, V is the measurement volume, F is cross-section of measurement volume, C0 and C is tracer concentration at t = 0 and at time t, respectively, is the convergence factor for water flow lines due to construction of borehole.
For a well screen of inner radius ‘R1’ and the measurement volume with a height of ‘h’, the values of V = π (R1)2 h and F = 2R1h substituted in Equation (2) (Ahuja et al. 1989).
(3)
The ratio of tracer concentration (C) at any time to the initial concentration (C0) versus time was plotted. A linear trend obtained, where slope (m) is equal to the factor ‘’. Filtration velocity ‘’ is calculated using Equation (4).
(4)
The value of ‘α’ is calculated (Gaspar 1987) and porosity, , of a porous medium is obtained (Klotz 1978) as:
The relationship between filtration and real velocity as:
The experimental setup constructed for groundwater flow direction and point dilution experiment employed to estimate effective porosity (Freez & Cherry 1979) as:

Hydraulic conductivity of aquifer

Soil samples from each borehole collected for grain size analysis. For estimation of hydraulic conductivity approach of Salarashayeri was adopted which incorporate entire particle distribution. (Salarashayeri & Siosemarde 2012).

Hydraulic conductivity or coefficient of permeability calculated using the simple Darcy's law for comparison purposes. Two boreholes on either sides of the experimental setup for filtration velocity in the direction of groundwater flow constructed for determination of hydraulic gradient and hydraulic conductivity was estimated using the Darcy formula:
where, K = hydraulic conductivity; = filtration velocity; I = hydraulic gradient.

Groundwater recharge mechanism

The control points to interpret the isotopic data of any area in terms of recharge mechanism are meteoric water line, rain index and river system index in the area under investigation. Extensive samplings over a long period are required to establish these control points or indices. The weighted average ‘δ18O: −3.62 ‰, δ2H: −19.14‰’ of Chashma rain data was taken as rain index while the average ‘δ18O: −11.38 ‰, δ2H: −75.31‰’ monthly isotopic data of same period of river system in the study area was taken as isotopic river index. The local meteoric water line (LMWL) shown in Figure 4 was established during 2005–2007 using actual slope and intercept of all rain samples (non-weighted) 7.58 and 6.97 respectively was taken as reference. The average isotopic signatures ‘δ18O: −11.9 ‰, δ2H: −83.4‰’ of the river Indus at Basham, 300 km upstream at altitude of 625 m were also included for reference to compare the isotopic values with some higher altitude location.

The isotopic data for the collected groundwater samples revealed the relative contribution of recharge sources such as rain, river and canal. During pre-monsoon season isotopic values for δ18O and δ2H in surface water samples varies from –11.07 to −11.31 ‰ and −71.9 to −72.93 ‰, in the shallow groundwater −6.84 to −12.03 ‰ and −42.66 to −79.9 ‰ and in the deep groundwater −10.91 to −11.73 ‰ and −73.93 to −77.29‰, respectively. During post-monsoon season, isotopic values of δ18O and δ2H in surface water samples range from −11.52 to −12.62 ‰ and −79.95 to −84.79 ‰, shallow groundwater varies −8.17 to −11.97 ‰ and −51.71 to −81.07 ‰ and in the deep groundwater −8.9 to −11.13 ‰ and −59.31 to −75.98 ‰, respectively. Whereas, transition period with relatively enriched isotopic values for δ18O and δ2H is characterized with surface water samples varies from –11.11 to −11.37 ‰ and −74.6 to −78.34 ‰, shallow groundwater ranges from −5.52 to −12.64 ‰ and −32.28 to −82.97 ‰ and the deep groundwater extends from −10.53 to −11.49 ‰ and −69.66 to −75.58 ‰, respectively. The δ18O Vs δ2H plots of three sampling campaigns shown in Figure 4. In all the three plots, most of the groundwater samples situated marginally above the LMWL and closer to the river index, which indicates that shallow groundwater, mainly recharged by the surface water sources. On the other hand, mixed recharge is associated to the samples located between the river and rain indices. Whereas, samples with depleted isotopic values are aligned nearer to the LMWL, indicating major contribution of river and canal water (Tsuchihara et al. 2020). A few deep groundwater samples show mixing of evaporated rains but most of them recharged predominantly by surface water (river and canals).
Figure 4

18O and 2H plot of water sample (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Figure 4

18O and 2H plot of water sample (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Close modal

Seasonal effect reveals that during pre-monsoon, the isotopes are enriched in comparison to the post-monsoon. This attributed to the enrichment of heavy isotopes in pre-monsoon season (Figure 4(a)) by two key factors: temperature effect and the amount effect. Temperature effect cause isotope fractionation, which may lead to the enrichment of surface water with respect to heavier isotopes (δ18O & δ2H) during pre-monsoon season. Secondly, the amount of effect does not contribute considerably for modification of isotopic values, owing to few rain events in pre-monsoon season. Conversely, depletion of isotopes (δ18O and δ2H) during post-monsoon season (Figure 4(b)) is primarily due to heavy rains and high tides condition in river Indus.

Additionally, depletion of isotopic values was ascribed to isotopically depleted snow/glacier melt coming from the high mountains of the Himalayas contributing to river Indus, a major recharge source for the study area. Similar trends for the transition period (Figure 4(c)) were observed, as the temperature is substantially low in the winter season, which results in higher fractionation of isotopes in both surface water and groundwater. Therefore, it concluded that river and canal water is the main recharge source for the study area.

Spatial variation of δ18O

The spatial distribution of δ18O (Figure 5) shows that δ18O varies with the distance between the sampling station and river/canal system indicating a considerable effect of canals on the groundwater. Furthermore, samples located near to river and canals exhibiting depleted isotopes signify that the possible source of groundwater replenishment is river/canals water.
Figure 5

Spatial distribution of δ18O (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Figure 5

Spatial distribution of δ18O (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Close modal

During the dry period, the river Indus near the study area behaves like a gaining stream. Only for a short period when the river flows at full swing, it contributes to nearby groundwater. Correlation of δ18O and δ2H and spatial distribution of δ18O (Figure 5) clearly indicate this phenomenon during different seasons.

Groundwater residence time

The mean residence time (MRT) of groundwater is a critical hydrological parameter required for the roundwater dynamics studies. Tritium, CFCs and noble gas isotope techniques were applied for determination of MRT. CFCs analysis of collected groundwater samples reveals that CFC-ll range from 0.02 to 12.96 pmol/kg, CFC-12 varies from 0.13 to 2.63 pmol/kg, and CFC-113 concentrations spans from 0.02 to 6.35 pmol/kg.

Tritium concentration in shallow groundwater during various seasons exhibits diverse range, extends from 2–20 TU. During pre-monsoon, post-monsoon and transition period, 72% (n = 29), 69% (n = 25) and 75% (n = 30) of the shallow groundwater samples range from 8–14 TU, respectively. Likewise, 17% (n = 05), 25% (n = 09) and 20% (n = 08) of pre-monsoon, post-monsoon, and transition period, respectively exhibits tritium concentration ranges from 2–6 TU. Whereas, only a few shallow groundwater lie in the range of 16–20 TU, with 10% (n = 03) of pre-monsoon, 8% (n = 03) of post-monsoon and 5% (n = 02) of transition period.

The Figure 6 shows frequency histogram of tritium content in water samples of different season over the year. The histogram from Figure 6(a)–6(c) represents the tritium variation during the pre-monsoon, post-monsoon and transition period in various categories of waters comprising shallow groundwater, deep groundwater, surface water and rainwater.
Figure 6

Frequency histograms of tritium (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Figure 6

Frequency histograms of tritium (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Close modal

Comparing histograms with the spatial distribution diagrams (Figure 6) it is observable that most the samples having similarity of tritium concentration with the surface waters lie near the water channels indicate quick recharge while a smaller population having lower tritium concentration are relatively farther from surface water resources have higher residence time. The stable isotope values and the groundwater direction depicted by water table contours also support this finding. Few samples having extraordinary higher tritium concentration may be attributed to the river Indus.

The temporal trend of tritium in deep samples depicts almost similar ranges as shallow groundwater samples. During pre-monsoon, samples generally have low tritium values varies from 2–7 TU (n = 03) indicate higher residence time. One location in post-monsoon and transition period having 14 TU and one location having 12 TU (200 ft depth) suggest few years of residence time and quick recharge. Tritium concentration in surface ranges from 8–10 TU (n = 04), 8–16 TU (n = 10) and 10–18 TU (n = 08) for pre-monsoon, post-monsoon and transition periods, respectively, whereas tritium in rain samples collected during post-monsoon and transition periods shows a value of 8 TU. The spatial distribution of tritium (Figure 7; Table 2) suggested that majority of the samples located near the CJL and Thal canals exhibits tritium values range from 7–12 TU, demonstrate their shorter mean residence time and indicative of their predominant recharge source is surface water. While, a few samples (1, 9, 17, 18, 21, 23) having tritium concentration from 1–6 TU, delineate mixed water, designating presence of some fraction of old groundwater with surface water.
Table 2

Isotopic data of samples

Sample IDStable Isotopes Data (Avg)
Tritium Conc. (Avg)
CFCs Conc. (Avg) (pmol/Kg)
Radon Mean Activity
δ18Oδ2H(TU)±CFCs 12CFCs 11CFCs 113(pci/l)S.D
CP-1 −11.34 −75.97 8.11 0.69 2.90 9.07 1.32 270 27.7 
CP-2 −10.69 −69.87 11.30 0.86 1.74 3.65 0.16 285 40.4 
CP-3 −9.96 −66.07 9.44 0.71 0.50 0.53 0.07 114 20.5 
CP-4 −7.25 −42.66 8.48 0.64 1.47 0.65 0.07 278 20.2 
CP-5 −12.75 −84.11 8.32 0.66 2.12 7.76 6.35 280 40.1 
CP-6 −11.7 −76.57 7.92 0.68 0.90 3.2 5.2 310 35.3 
CP-7 −9.78 −61.28 12.07 0.97 1.46 3.73 0.17 231 25.4 
CP-8 −12.34 −81.35 9.45 0.78 1.83 3.5 0.27 57.0 9.6 
CP-9 −12.07 −80.82 7.57 0.85 0.66 0.48 0.04 59.4 17.7 
CP-10 −10.78 −71.48 10.75 0.81 2.13 3.2 0.22 77.6 35.3 
CP-11 −12.23 −80.72 8.18 0.68 1.58 5.69 0.2 62.2 19.9 
CP-12 −11.86 −77.07 3.13 0.40 1.52 3.54 0.26 77.0 11.5 
CP-13 −10.49 −67.09 13.18 1.47 2.27 5.34 0.29 161 18.9 
CP-14 −10.65 −69.53 9.82 1.06 1.26 2.93 0.21 303 58.5 
CP-15 −10.32 −68.57 9.48 1.06 0.61 0.07 0.05 42.7 9.93 
CP-16 −10.36 −68.44 13.02 0.21 0.73 0.87 0.07 66.7 37.0 
CP-17 −10.76 −69.52 12.39 1.34 1.01 1.38 0.12 24.1 18.8 
CP-18 −10.76 −67.92 17.71 1.95 0.13 0.22 0.02 240 25.7 
CP-19 −11.07 −70.59 11.78 1.32 1.74 3.68 0.32 246 19.1 
CP-20 −10.85 −71.78 12.71 1.46 0.60 0.02 0.03 270 6.56 
CP-21 −11.45 −75.26 12.38 1.37 2.9 9.07 1.32 285 27.7 
CP-22 −9.09 −57.81 12.05 1.39 1.38 2.33 0.25 114 32.4 
CP-23 −10.88 −72.29 6.92 0.76 0.26 1.71 0.19 278 20.5 
CP-24 −11.23 −73.72 8.11 0.69 0.52 0.61 0.07 280 20.2 
CP-25 −10.51 −68.16 11.30 0.86 1.54 1.73 2.03 310 40.1 
CP-26 −9.54 −66.49 9.44 0.71 1.10 1.03 0.05 231 35.3 
CP-27 −8.75 −58.16 8.48 0.64 2.08 2.42 0.18 57.0 25.4 
CP-28 −9.47 −60.07 8.32 0.66 1.25 0.81 0.07 59.4 19.6 
CP-29 −11.44 −74.75 7.92 0.68 1.23 2.60 0.16 77.6 17.7 
CP-30 −11.27 −72.93 12.07 0.97 0.81 1.44 0.14 62.2 35.3 
CP-32 −11.28 −72.72 9.45 0.78 0.29 0.49 0.04 77.0 27.7 
CP-33 −11.64 −75.17 7.57 0.85 1.67 1.71 0.16 161 40.4 
CP-34 −11.31 −72.48 10.75 0.81 0.88 0.21 0.03 303 20.5 
CP-35 −12.03 −79.9 8.18 0.68 1.87 2.69 0.23 42.7 18.2 
CP-36 −10.78 −71.47 3.13 0.40 1.59 2.60 0.21 66.7 35.1 
CP-37 −11.18 −72.65 13.18 1.47 1.53 2.98 0.17 24.1 31.3 
CP-38 −8.36 −53.73 9.82 1.06 1.69 12.96 0.20 240 25.4 
CP-39 −6.84 −42.74 9.48 1.06 1.45 8.05 0.10 246 9.60 
CJL −11.07 −71.9 13.02 0.21 1.87 5.09 0.36 20.0 17.7 
CP-40 −11.82 −78.53 12.39 1.34 1.90 2.97 0.27 215 20.3 
CP-41 −10.72 −72.58 17.71 1.95 2.63 4.37 0.34 275 19.9 
CP-42 −9.84 −65.41 11.78 1.32 1.38 2.33 0.25 148 11.5 
CP-43 −9.87 −64.97 12.71 1.46 0.26 1.71 0.19 235 18.9 
CP-44 −12.04 −82.88 12.38 1.37 0.52 0.61 0.07 225 48.5 
CP-45 −11.52 −80.18 12.05 1.39 1.54 1.73 2.03 210 19.9 
CP-46 −11.58 −80.05 6.92 0.76 1.10 1.03 0.05 215 25.0 
CP-47 −11.68 −80.34 8.11 0.69 2.08 2.42 0.18 97.0 27.7 
CP-48 −11.71 −79.95 11.30 0.86 1.25 0.81 0.07 99.4 32.4 
CP-50 −10.94 −74.12 9.44 0.71 1.23 2.60 0.16 107.6 20.5 
CP-51 −11.20 −79.12 8.48 0.64 0.81 1.44 0.14 112.2 12.2 
CP-52 −10.85 −60.12 8.32 0.66 0.29 0.49 0.04 98.0 29.1 
C-53 −15.20 −65.80 7.92 0.68 1.67 1.71 0.16 141 35.3 
Rain −4.18 −25.86 12.07 0.97  
Sample IDStable Isotopes Data (Avg)
Tritium Conc. (Avg)
CFCs Conc. (Avg) (pmol/Kg)
Radon Mean Activity
δ18Oδ2H(TU)±CFCs 12CFCs 11CFCs 113(pci/l)S.D
CP-1 −11.34 −75.97 8.11 0.69 2.90 9.07 1.32 270 27.7 
CP-2 −10.69 −69.87 11.30 0.86 1.74 3.65 0.16 285 40.4 
CP-3 −9.96 −66.07 9.44 0.71 0.50 0.53 0.07 114 20.5 
CP-4 −7.25 −42.66 8.48 0.64 1.47 0.65 0.07 278 20.2 
CP-5 −12.75 −84.11 8.32 0.66 2.12 7.76 6.35 280 40.1 
CP-6 −11.7 −76.57 7.92 0.68 0.90 3.2 5.2 310 35.3 
CP-7 −9.78 −61.28 12.07 0.97 1.46 3.73 0.17 231 25.4 
CP-8 −12.34 −81.35 9.45 0.78 1.83 3.5 0.27 57.0 9.6 
CP-9 −12.07 −80.82 7.57 0.85 0.66 0.48 0.04 59.4 17.7 
CP-10 −10.78 −71.48 10.75 0.81 2.13 3.2 0.22 77.6 35.3 
CP-11 −12.23 −80.72 8.18 0.68 1.58 5.69 0.2 62.2 19.9 
CP-12 −11.86 −77.07 3.13 0.40 1.52 3.54 0.26 77.0 11.5 
CP-13 −10.49 −67.09 13.18 1.47 2.27 5.34 0.29 161 18.9 
CP-14 −10.65 −69.53 9.82 1.06 1.26 2.93 0.21 303 58.5 
CP-15 −10.32 −68.57 9.48 1.06 0.61 0.07 0.05 42.7 9.93 
CP-16 −10.36 −68.44 13.02 0.21 0.73 0.87 0.07 66.7 37.0 
CP-17 −10.76 −69.52 12.39 1.34 1.01 1.38 0.12 24.1 18.8 
CP-18 −10.76 −67.92 17.71 1.95 0.13 0.22 0.02 240 25.7 
CP-19 −11.07 −70.59 11.78 1.32 1.74 3.68 0.32 246 19.1 
CP-20 −10.85 −71.78 12.71 1.46 0.60 0.02 0.03 270 6.56 
CP-21 −11.45 −75.26 12.38 1.37 2.9 9.07 1.32 285 27.7 
CP-22 −9.09 −57.81 12.05 1.39 1.38 2.33 0.25 114 32.4 
CP-23 −10.88 −72.29 6.92 0.76 0.26 1.71 0.19 278 20.5 
CP-24 −11.23 −73.72 8.11 0.69 0.52 0.61 0.07 280 20.2 
CP-25 −10.51 −68.16 11.30 0.86 1.54 1.73 2.03 310 40.1 
CP-26 −9.54 −66.49 9.44 0.71 1.10 1.03 0.05 231 35.3 
CP-27 −8.75 −58.16 8.48 0.64 2.08 2.42 0.18 57.0 25.4 
CP-28 −9.47 −60.07 8.32 0.66 1.25 0.81 0.07 59.4 19.6 
CP-29 −11.44 −74.75 7.92 0.68 1.23 2.60 0.16 77.6 17.7 
CP-30 −11.27 −72.93 12.07 0.97 0.81 1.44 0.14 62.2 35.3 
CP-32 −11.28 −72.72 9.45 0.78 0.29 0.49 0.04 77.0 27.7 
CP-33 −11.64 −75.17 7.57 0.85 1.67 1.71 0.16 161 40.4 
CP-34 −11.31 −72.48 10.75 0.81 0.88 0.21 0.03 303 20.5 
CP-35 −12.03 −79.9 8.18 0.68 1.87 2.69 0.23 42.7 18.2 
CP-36 −10.78 −71.47 3.13 0.40 1.59 2.60 0.21 66.7 35.1 
CP-37 −11.18 −72.65 13.18 1.47 1.53 2.98 0.17 24.1 31.3 
CP-38 −8.36 −53.73 9.82 1.06 1.69 12.96 0.20 240 25.4 
CP-39 −6.84 −42.74 9.48 1.06 1.45 8.05 0.10 246 9.60 
CJL −11.07 −71.9 13.02 0.21 1.87 5.09 0.36 20.0 17.7 
CP-40 −11.82 −78.53 12.39 1.34 1.90 2.97 0.27 215 20.3 
CP-41 −10.72 −72.58 17.71 1.95 2.63 4.37 0.34 275 19.9 
CP-42 −9.84 −65.41 11.78 1.32 1.38 2.33 0.25 148 11.5 
CP-43 −9.87 −64.97 12.71 1.46 0.26 1.71 0.19 235 18.9 
CP-44 −12.04 −82.88 12.38 1.37 0.52 0.61 0.07 225 48.5 
CP-45 −11.52 −80.18 12.05 1.39 1.54 1.73 2.03 210 19.9 
CP-46 −11.58 −80.05 6.92 0.76 1.10 1.03 0.05 215 25.0 
CP-47 −11.68 −80.34 8.11 0.69 2.08 2.42 0.18 97.0 27.7 
CP-48 −11.71 −79.95 11.30 0.86 1.25 0.81 0.07 99.4 32.4 
CP-50 −10.94 −74.12 9.44 0.71 1.23 2.60 0.16 107.6 20.5 
CP-51 −11.20 −79.12 8.48 0.64 0.81 1.44 0.14 112.2 12.2 
CP-52 −10.85 −60.12 8.32 0.66 0.29 0.49 0.04 98.0 29.1 
C-53 −15.20 −65.80 7.92 0.68 1.67 1.71 0.16 141 35.3 
Rain −4.18 −25.86 12.07 0.97  
Figure 7

Spatial distribution of tritium (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Figure 7

Spatial distribution of tritium (a) Pre-monsoon, (b) Post-monsoon, (c) Transition period.

Close modal
CFCs offer exquisite capability to use them as tracer for dating young water (≤50 Years). The mechanism of groundwater age dating with CFCs is based on Henry's law of solubility by measuring concentration of the gas dissolved in water in equilibrium with air. The age dating using CFCs is subjective to recharge temperature, salinity, excess air in the water sample and altitude at location of recharge (Cox 2003). Transformation of groundwater age or MRT to ‘Modelled age’ needs a mathematical model. Thus, simple LPM (Tracer LPM) used to describe distributions of age in a more precise manner (Figure 8). Tracer LPM approach is very useful because it integrate CFCs data over large temporal and spatial scales. The groundwater ages predicted by incorporating the CFCs (CFC-11, CFC-12 and CFC-113) data of selected groundwater samples in conjunction with Tracer LPM. Figure 8 elucidate that Tracer LPM has estimated groundwater age from 22 to 59 years. However, the extent of age calculated by CFCs spans from 29 to 52 years. Overall, the results demonstrated comparable age ranges calculated by both CFCs and Tracer LPM, which confirms the application of Tracer LPM in groundwater age dating. The average CFC data of samples given in Table 2.
Figure 8

Groundwater mean residence time determined by CFCs and Tracer LPM model.

Figure 8

Groundwater mean residence time determined by CFCs and Tracer LPM model.

Close modal

Assessment of groundwater discharge

The activities of the radon gas by using RAD7 radon detector ranged from 20 pCi/l to 310 pCi/l with a mean value of 160 pCi/L (Figure 9). The variable trend of radon concentration can be attributed to location of individual sampling site. Radon concentration in all collected samples is generally within the prescribed safe limits (300–10,000 pCi/L) as proposed by the ICRP (ICRP 1990). Thus they pose no threat to the people of the locality. The radon data of measured surface and groundwater samples was plotted in the form of spatial plot and frequency histogram (Figure 9).
Figure 9

Spatial distribution and frequency histogram of radon concentration around NPPs.

Figure 9

Spatial distribution and frequency histogram of radon concentration around NPPs.

Close modal

A frequency histogram shows that radon concentration in surface water samples ranges from 50 to 100 pCi/L, while a broad range exist in groundwater samples extends from 100 to 350 pCi/L. The spatial plot of radon activity reveals that surface water in the form of canals and lake has influential impact on groundwater recharge of the study area, which is manifest by low radon concentrations in groundwater samples located near the surface water sources and approximately Chashma NPPs. However, samples located in the south-west quadrant of the spatial map indicate groundwater discharge to the river Indus, which characterized by relatively high radon values near the river.

Average concentration of radon in samples is given in Table 2.

Groundwater real velocity (Vr)

The tracer was first appeared in detection well (Figure 3) located in the southwest of injection well on November 12, 2019 at 16:30 hours. The breakthrough time calculated as 223:8 hours (9.32 days). The monitoring of radiotracer continued in and all other detection wells in the inner semicircle. The peak value was observed in on November 19, 2019 at 22:30 hours indicating transit time for maximum activity of 395.8 hours (16.5 days). The groundwater velocity for waterfront was calculated as 21.65 cm/day. After the breakthrough in all the wells in second semicircle also continuously monitored for tracer presence. Finally, the tracer appeared in detection well in the outer circle after 527.8 hours (21.99 days) of injection on November 25, 2019 at 10:30 hours, indicating breakthrough velocity of 22.74 cm/day in the same direction as determined by appearance of tracer in . The appearance of tracer in any other boreholes in second semicircle was not detected as the count rate remained within and three times the background count rate (Table 3).

Table 3

Summary of key events during real velocity experiment by multi-well technique (Injection: 11/3/2019 16:45 hrs)

Detection BHDistance (cm)Break ThroughTransit time
Velocity
HoursDays(cm/day)
T − 4 200 11/12/2019 16:30 hrs 223:8 9.32 21.65 
T − 12 500 11/25/2019 10:30 hrs 527:8 21.99 22.74 
Average Real Velocity 22.2 
Detection BHDistance (cm)Break ThroughTransit time
Velocity
HoursDays(cm/day)
T − 4 200 11/12/2019 16:30 hrs 223:8 9.32 21.65 
T − 12 500 11/25/2019 10:30 hrs 527:8 21.99 22.74 
Average Real Velocity 22.2 

Groundwater filtration velocity (Vf)

The value of convergence factor ‘α’ was mathematically estimated using two key factors, the construction type of the well and the nature of the porous medium using the equation of Klotz (Klotz 1978; Ahuja et al. 1989). The estimated value of ‘α‘ was 2.75. From the field results of tracer tests carried out in PDT well, was determined and plotted against time ‘t’ (Figure 10). The Slope of the best-fit lines (dilution lines) having a groundwater flow velocity term, which is represented by Equation (3) was determined. Groundwater filtration velocity was then calculated as 0.0076 cm/min (10.94 cm/day) using the parameters (i.e. α and ) of wells in Equation (4). Using filtration velocity and real velocity in-situ effective porosity is calculated as:
Figure 10

Plots of detector response and ln(C/Co) vs. time showing dilution rate in PDT well.

Figure 10

Plots of detector response and ln(C/Co) vs. time showing dilution rate in PDT well.

Close modal

This value is in good agreement with the porosity of medium to fine sand.

Hydraulic conductivity of the aquifer

Hydraulic conductivity of aquifer was estimated by grain size analysis adopting Salarashayeri and Siosemarde's formula (Salarashayeri & Siosemarde 2012) which incorporate entire range of grain size i.e. d10, d50 and d60. Spatial distribution of Hydraulic conductivity is presented in the form of contours (Figure 11). Hydraulic conductivity of the aquifer around the NPPs ranges from 48 to 278 m/day, indicating an increasing trend from North-East to South-West direction.
Figure 11

Spatial distribution of hydraulic conductivity in study area.

Figure 11

Spatial distribution of hydraulic conductivity in study area.

Close modal
Hydraulic conductivity or coefficient of permeability calculated using simple Darcy's law for comparison using Darcy formula!
where,

I = hydraulic gradient = (h1 − h2)/d = 1.01/1,506 = 0.000761

h1 = water table in BH-1 = 190.12 m

h2 = water table in BH-2 = 189.11 m

d = distance (BH-1 and BH-2) = 1,506 m

Filtration velocity = 10.94 cm/day = 0.1094 m/day

Hydraulic conductivity = K = 0.1094/0.000761 = 163 m/day

Thickness of alluvium = >300 m (NESPAK 1992)

Transmissivity (T) = K × Thickness of aquifer = 163 × 300 = 48,900 m2/day

The hydraulic conductivity estimated by both approaches is in good agreement.

The study was conducted to investigate hydrological processes and groundwater dynamics including groundwater recharge and discharge patterns, flow paths, surface water-groundwater interaction and velocities using conventional, common isotopic techniques and emerging techniques.

Groundwater age investigated by the Tracer LPM and CFCs suggests the groundwater age in the range of 14–59 years. Tritium concentration reveals that most of the groundwater samples have fresh recharge and classified as young water. Although, a few samples located near the river Indus exhibits relatively high tritium (15–19 TU), suggest major contribution of glacier melt with high tritium from Himalayas.

The water table contours and multiwell tracer experiment indicated that the groundwater generally flows towards river in south-west direction. The flow pattern in the aquifer system therefore suggested that the southwestern region of the study area is susceptible to groundwater contamination that may release from NPPs in case of any leakage.

A combination of point dilution and multiwall radioactive tracer technique suggest that the real and filtration velocity of groundwater in the area are 22.2 cm/day and 10.94 cm/day, respectively, whereas the estimated in-situ effective porosity of the aquifer is 49.3%, which is in good agreement with the porosity of fine to medium sand. The hydraulic conductivity of the aquifer varies from 48 to 278 m/day (avg. 139 m/day) with increasing trend from northeast to south-west direction in the study area. The NPPs operation did not impose any destructive impact on groundwater regime as there is no significant change in groundwater flow patterns in study site except a slight lowering of the water table, which may be due to decline in river flow, rainfall patterns and/or increased water abstraction for regional agriculture activities

Author is thankful to competent authorities of National Engineering Services Pakistan (NESPAK) for sharing the geographical data of site and CHASNUPP (Chashma Nuclear Power Plant: Pakistan Atomic Energy Commission) for providing their technical and logistic support in the area.

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

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