Introduction

Groundwater is not only an important natural resource for human survival and development but also an important element involved in maintaining the ecological balance (Schlager 2006; Zhang et al. 2017). However, the amount of groundwater resources often does not meet the requirements for sustainable local and regional economic development, especially in arid and semiarid regions (Banerjee et al. 2016; Li et al. 2019a; Fathy et al. 2021). In addition, phreatic water contamination by nitrate (NO3), organic matter, and heavy metals due to anthropogenic disturbances has often been overlooked in economic development over the past decades, resulting in groundwater contamination by nitrate (NO3), organic matter, and heavy metals (e.g., Fe and Mn) and, consequently, accentuating the conflict between groundwater availability and sustainable socioeconomic development (Kurwadkar 2019; He et al. 2020; Wei et al. 2022).

Several studies have shown that high concentrations of contaminants in groundwater have great negative influences on human health and ecosystem components (Li et al. 2014a; Touhari et al. 2015; He et al. 2020). High Fe concentrations in drinking water can cause liver damage, joint pain, and fatigue (Yadav et al. 2019), while high Mn concentrations can cause some neurological disorders and increase infant mortality (Hafeman et al. 2007; Rutchik et al. 2012). Moreover, high SO42− and NO3 concentrations pose high health risks to humans (Wu and Sun 2016). In recent years, human health risks in groundwater due to high contaminant concentrations have been widely investigated and have received extensive attention from governments and scholars. Zhang et al. (2019a) showed that the groundwater arsenic-associated cancerogenic risk for adults in the Jinghui irrigation district was 3.5 times higher than the national acceptable risk level. Snousy et al. (2022) revealed that high groundwater SO42− contents in Assiut District have serious harmful effects on human skin, hair, and eyes. Chakraborty et al. (2022) showed that water contamination by heavy metals poses a noncancerous health risk to the inhabitants of the Chotanagpur Plateau fringe of India. The sources of high anion and cation contents in groundwater are classified as natural and anthropogenic. For example, high NO3 concentrations are often derived from anthropogenic factors, including agricultural fertilization and industrial effluent discharge (Wu and Sun 2016), while high groundwater F concentrations are often caused by natural factors, such as evaporation and rock weathering (Chen et al. 2021). Heavy metal contents in groundwater may also be controlled by natural elements, such as groundwater-reducing environments (Kshetrimayum and Hegeu 2016). Therefore, the exploration of hydrogeochemical processes that influence the evolution of groundwater chemistry is especially vital to accurately identify the sources of groundwater chemical elements as well as the factors controlling their distribution and transport. Numerous studies on groundwater hydrogeochemistry have been carried out worldwide. Indeed, most of these studies have mainly focused on the sources and influences of water chemical composition, typical element enrichment in groundwater, quantitative simulation of hydrogeochemical processes, and impacts of groundwater level changes on groundwater chemistry evolution (Li et al. 2013, 2021; Jha et al. 2015; Singh et al. 2018; Su et al. 2020; Natesan et al. 2022). The results of some studies indicate that hydrodynamic conditions, topography and lithological stratigraphy, the intensity of water‒rock interactions, and circulation conditions lead to the zonation of groundwater chemical characteristics in the horizontal direction (Jing et al. 2014; Dragon et al. 2009).

The Wei River Basin is a typical water shortage area, and groundwater is an important support for the development of agriculture, industry, and water supply for residents in the area. Especially, in the vast rural areas, phreatic water is an important source of water supply. Most of the wells are located in the pluvial-alluvial fan area in front of the mountain, and the particles in the pluvial-alluvial fan area are coarse, so the groundwater quality can be very easily polluted. However, due to the lack of attention to the groundwater pollution problem, phreatic water pollution in the Wei River Basin is serious, which also induced water pollution in confined groundwater in some areas. Previous studies have highlighted groundwater pollution in the Wei River Basin, including NO3, F, and heavy metal (As, Fe, and Mn) pollution due to the influences of anthropogenic factors (Ren et al. 2021; Guo et al. 2022; Wang et al. 2022). These issues restrict the sustainable use and effective management of local groundwater resources and threaten the safe supply of groundwater in the Wei River Basin. In recent years, several research teams have investigated the hydrochemical processes at different scales in the Wei River basin. Xu et al. (2019) studied the hydrogeochemical characteristics of the entire Wei River basin and clarified that the controlling factors of groundwater chemistry are different in the north and south of the Wei River. Zhang et al. (2020a) studied the characteristics of groundwater chemistry influenced by irrigation and the influence of hydrogeochemical processes on fluorine enrichment. Chen et al. (2021) explored the influence of groundwater chemistry and hydrogeochemical processes on groundwater fluoride throughout the Guanzhong Plain. Previous studies have shown that geological features and groundwater flow direction affect groundwater hydrochemical and hydrogeochemical processes (Ma et al. 2018; Poetra et al. 2020). Therefore, studying the hydrochemical characteristics of groundwater in different geomorphological zones and revealing the hydrogeochemical processes along the groundwater flow direction in the Wei River basin are important to clarify the fate of contaminants.

Moreover, NO3, Fe, and Mn have been identified typical contaminants of groundwater in the Wei River Basin. NO3 pollution in this area has been well researched by Xu et al. (2023). They also assessed the health risk caused by ingestion of high NO3 groundwater using deterministic methods. However, the high Fe and Mn contents in groundwater are often overlooked. The Fe and Mn contents in groundwater at several water supply sources in Xi’an exceed the drinking water quality standards. The main factors influencing the distribution and enrichment of Fe and Mn in phreatic water remain unclear. In this context, the objectives of this study are (1) to assess the hydrochemical characteristics of the phreatic water and reveal the hydrogeochemical processes controlling groundwater chemistry in the Wei River Basin through reverse simulations via PHREEQC, (2) to identify the main variables influencing the abundance and enrichment of Fe and Mn in groundwater, and (3) to assess the probability of human health risks associated with Fe, Mn, and NO3 in phreatic water.

Study Area

Geographic Location and Climatic Characteristics

The study area is situated in the southern Wei River Basin, Shaanxi Province, China. The surface elevation in the study area decreases gradually from the southern part to the northern part (Fig. 1). The study area is characterized by a warm-temperate semiarid and semihumid continental monsoon climate, with an average annual temperature, average annual precipitation, and average annual evaporation of 12–14 °C, 745.8 mm, and 700–1200 mm, respectively. Indeed, approximately 70–80% of the annual precipitation occurs mainly during the summer and autumn seasons, while the highest evaporation rates are observed mainly in July (Xu et al. 2023). The study area has a dense network of rivers, all of which originate in the northern Qinling Mountains. However, although the river network is dense, its flow rates are relatively low, flowing into the Wei River (Zhang et al. 2013). The Shitou, Lao, Feng, and Hei Rivers are large rivers that all cover a total area over 500 km2. The regional landform genesis may be grouped into pluvial-alluvial fan and alluvial plain. The pluvial-alluvial fan is mainly located at the front of the Qinling Mountains and consists of multiphase pluvial-alluvial fans. The pluvial-alluvial fans in front of the Qinling Mountains are distributed in Mei County-Zhouzhi County-Huyi District, sloping toward the northern part and consisting of fine soil particles and a large thickness. The alluvial plain of the Wei River and its tributaries is created by the river flows of the Wei River and its tributaries, such as the Ba River, Lao River, Feng River, Hei River, and Shitou River.

Fig. 1
figure 1

Location of the study area and sampling sites

The three districts and counties covered by the study area include Huyi District, Zhouzhi County, and Mei County, which belong to the major regions of China’s western development. Groundwater resources including phreatic water and confined groundwater are the main source of water supply in the Wei River Basin, accounting for more than 40% of the total water supply. Groundwater is, therefore, critical for sustainable socioeconomic development in the Wei River Basin.

Hydrogeological Characteristics

Groundwater in the Wei River Basin circulates mainly in Quaternary, Neogene, and Paleogene aquifers. Among them, the Quaternary aquifer is approximately 800 m thick, of which the lithological classes consist of loess, sand, and gravel layers, providing a good yield range of 50–200 m3/h. The Neogene and Paleocene aquifers are approximately several kilometers thick, consisting mainly of mudstone and medium- to fine-grained sandstone, cemented and loose sandstone, and fractured bedrock, providing a good yield range of 30–80 m3/h.

The aquifer in the study area is continuously distributed over the entire basin. The water-bearing group in the study area can be divided into a confined water-bearing group and a phreatic water-bearing group. The confined aquifer is composed of sandy pebbles, medium coarse, and fine sands and subsandy soils with alternating alluvial and flooding sediments. The phreatic aquifer in the study area can be divided into pore water in the pluvial-alluvial fan and pore water in the alluvial plain. The phreatic water in the alluvial plain is distributed in the terraces of the Wei River. The aquifer consists generally of sand, gravel pebbles, and sandy clay layers from the middle Pleistocene to Holocene with a thickness range of 5–80 m. However, phreatic water in the pluvial-alluvial fan is mainly distributed in the southern part of the Wei River Basin, of which the water-bearing layer consists mainly of gravel pebbles, drift stone, and sandy clay. Indeed, the water richness at the fan axis of the pluvial-alluvial fan is better than that between fans, while those at the middle and front edges are better than that of the trailing edge. The water abundance of the middle and front edges of the pluvial-alluvial fan is better than that at the rear edge, while the water abundance is better in the newly formed pluvial-alluvial fan than in the loess-covered pluvial-alluvial fan.

The phreatic water level depth ranges from 0.97 to 71.30 m and gradually decreases from south to north. Sediment particles of the middle and Cenozoic clastic rocks change from coarse to fine from the edges to the Wei River Basin central area. Precipitation, river infiltration, and lateral flows from the fronts of the Qinling Mountains are the primary phreatic water recharge sources in the alluvial plain (Li et al. 2016a). In contrast, the groundwater recharge in front of the Qinling Mountains mainly originates from precipitation infiltration. Evaporation, horizontal discharge to the Wei River, and artificial abstractions are the dominant methods of discharge in the Wei River Basin.

Material and Methods

Sample Collection and Hydrochemical Analysis

Fifty-five phreatic water samples were collected in July 2021 (Fig. 1). The groundwater level depth divers from one place to another, ranging within 0.92‒42.5 m. Sampling and preservation of water samples were carried out according to the Technical specifications for environmental monitoring of groundwater (Ministry of Environmental Protection of the P. R. China 2020). The well water was extracted for 10–15 min before sampling. After rinsing the bottles with the groundwater to be collected for 2–3 times, all groundwater samples were collected in white polyethylene bottles with appropriate protective agents. The containers were sealed and labeled immediately after collection of the water samples. The samples were stored in a refrigerated environment at 4 °C and sent for testing within one week. The water samples were tested according to Chinese drinking water standards (Standardization Administration of the People’s Republic of China 2006). The oxidation‒reduction potential (ORP), electrical conductivity (EC), temperature (T), and pH of the phreatic water were measured in situ. Major cations (Ca2+, Mg2+, Na+, and K+), anions (HCO3, Cl, SO42−, and NO3), trace elements (F, Fe, Mn, and As), and TDS were analyzed in the laboratory. The major cations (Na+, K+, Ca2+, and Mg2+) and Fe were analyzed using inductively coupled plasma atomic emission spectroscopy (ICP‒AES). The analyses of NO3, SO42−, F, and Cl were carried out using ion chromatography, while HCO3 was measured by the acid–base titration method. Mn and As were measured by atomic absorption spectrophotometry and spectrophotometry, respectively. The TDS and TH contents were determined using the gravimetric and EDTA titration methods, respectively. The detection limits for Ca2+, Mg2+, Na+, K+, HCO3, Cl, SO42−, and NO3 are 0.12, 0.05, 0.02, 0.003, 5.0, 0.007, 0.018, and 0.064 mg/L, respectively, while the detection limits for F, Fe, Mn, and As are 0.006, 0.02, 0.0048, and 0.0008 mg/L, respectively. The ion equilibrium error percentages were calculated for all groundwater samples, showing detection errors within ± 10%, which is acceptable for general hydrochemical studies.

Methods

Hydrogeochemical Modeling

The PHREEQC software developed by the U.S. Geological Survey (USGS) was used in this study to simulate the saturation index (SI) and hydrogeochemical processes of phreatic water in the southern part of the Wei River Basin. Indeed, the value of SI can determine whether minerals in the water are in a saturation or undersaturation state according to the following formula:

$${\text{SI = }}\lg \frac{{{\text{IAP}}}}{K}$$
(1)

where IAP denotes the ion activity product and K is the equilibrium constant of the mineral dissolution reaction. SI > 0, SI = 0, and SI < 0 indicate that the mineral is in supersaturated, equilibrium, and unsaturated states, respectively, in the water sample.

In this study, hydrogeochemical inverse modeling in PHREEQC software was used to invert the possible water‒rock reactions based on the hydrochemical data of groundwater at the initial and end points of the flow path to identify the complex reaction conditions occurring between groundwater and different minerals and gases and to quantify the extent to which water‒rock interaction occurs (Li et al. 2010).

The reaction path of the reverse geochemical simulation requires that the starting and ending water samples are in the same flow path. Based on the hydrochemical data of groundwater, two paths were selected in this study to simulate the hydrogeochemical processes from the recharge area (Qinling Mountains) to the discharge area (Wei River) by considering water‒rock interactions with fast and slow phreatic water flow rates. The simulation paths are shown in Fig. 1. The possible mineral phases were selected in this study based on previous research results and the lithological characteristics of the aquifer in the Wei River Basin (Guo et al. 2022), which were gypsum, calcite, dolomite, halite, illite, quartz, fluorite, albite, hematite, siderite, and pyrolusite. In addition, considering the extensive carbonic acid equilibrium and cation exchange in the submerged aquifer of the Wei River Basin, the cation exchange between Ca2+, Mg2+, Na+, and CO2(g) was also considered in the selected mineral phases.

Health Risk Assessment Based on Monte Carlo Simulation

Human health risk assessment models can determine pollutant-related potential human health risks in groundwater. We used the model suggested in the Technical Guide for Risk Assessment of Contaminated Sites to assess the non-carcinogenic risk of Fe and Mn to local residents in this research (Ministry of Environmental Protection of the P.R. China 2019). The non-carcinogenic risk of pollutants to humans is expressed as a hazard quotient (HQ), which can be calculated using Eq. (2). HQ values higher than 1 suggest human health risks. Only health risk through drinking water intake was considered in this study, since health risk from other pathways is negligible (Wu et al. 2020).

$$HQ = \frac{Intake}{{RfD}}$$
(2)

where RfD denotes the reference dose of Fe, Mn and NO3-N by drinking, which was set to 0.3, 0.02, and 1.6 (mg/kg·day) for Fe, Mn, and NO3-N, respectively (Magesh et al. 2017). Intake denotes the exposure of humans to pollutants through water intake (mg/kg·day), which was calculated in this study according to the following formula:

$$Intake = \frac{C \times GWCR \times EF \times ED}{{W \times T}}$$
(3)

where all the definitions of the parameters in Eq. (2) are reported in Table 1.

Table 1 Parameter values for health risk estimation

Previous studies on health risk assessment have set each exposure parameter of Eq. (3) as a certain definite value. However, there are some uncertainties in the parameter values, including groundwater consumption rates, exposure frequencies, and body weight, due to the differences in environmental characteristics, geographical characteristics, and living habits (Ganyaglo et al. 2019), causing uncertainty in the health risk evaluation results. Therefore, traditional health risk evaluations have certain limitations and cannot comprehensively assess pollutant-related human health risks (Liu et al. 2022).

Monte Carlo computational methods can simulate the uncertainty of events through mathematical statistics and random sampling. The basic steps of this method are as follows: (1) establish the probability distribution of uncertainties; (2) use the uncertainties as factors from which the simulation tests are randomly sampled as the sampling values of the variable sequences; and (3) use the results of the simulation tests to obtain the simulated values at different confidence levels to derive the simulation results of uncertainty analysis. Indeed, several studies (Liu et al. 2022) have demonstrated the applicability of the Monte Carlo method in health risk evaluation. Therefore, the Monte Carlo method was chosen in this study to determine the distribution type of each parameter used in Eq. (3), considering the uncertainty of the GWCR, EF, and W parameters in the model. The final probability distribution results were obtained using Crystal Ball risk simulation software by performing 10,000 iterations of stochastic simulations for the non-carcinogenic risks for people in different age groups. The procedures of health risk assessment based on the Monte Carlo method are briefly shown in Fig. 2.

Fig. 2
figure 2

Procedure of health risk assessment based on the Monte Carlo simulation

The values and distribution types of exposure parameters for different groups were determined in this study based on previous related studies on health risk assessment in the Wei River Basin (Zhang et al. 2019b) and are reported in Table 1.

Results and Discussion

Hydrochemical Characteristics

The hydrochemical results of groundwater in the Wei River Basin in July 2021 are reported in Table 2. The pH values of groundwater in the study area ranged from 6.83 to 7.63 and 7.16 to 7.86, with average values of 7.33 and 7.49 in the pluvial-alluvial fan and alluvial plain, respectively. The TDS content ranges in groundwater of the pluvial-alluvial fan and alluvial plain were 264–1298 mg/L and 262–2566 mg/L, with average contents of 612.08 and 768.80 mg/L, respectively. The obtained results revealed a substantial increase in the mean TDS content from the pluvial-alluvial fan to the alluvial plain, which might be due to mineral dissolution in the submerged aquifer along the groundwater flow directions, as well as the potential influence of human activities (Li et al. 2016b).

Table 2 Statistical values of groundwater chemical parameters

The average major anion and cation contents in the alluvial plain located downstream of groundwater flow were higher than those in the upstream pluvial-alluvial fan. Indeed, Ca2+ showed the highest cation contents in the phreatic water of the pluvial-alluvial fan, with an average concentration of 115.48 mg/L, and the content of Mg2+ in the pluvial-alluvial fan was second only after Ca2+, with an average concentration of 22.22 mg/L. K+ displayed the lowest cation concentrations, with an average concentration of 2.16 mg/L. Similar results were observed in the alluvial plain in the southern part of the Wei River, showing average Ca2+ and K+ concentrations of 131.64 and 2.38 mg/L, respectively. The Na+ concentrations in the alluvial plain were higher than those of Mg2+, indicating average concentrations of 46.62 and 37.26 mg/L, respectively, which was probably caused by halite dissolution and cation exchange along the phreatic water flow directions. In the pluvial-alluvial fan, the average Cl, SO42−, and HCO3 concentrations were 22.08, 63.14, and 236.08 mg/L, respectively. The average Cl, SO42−, and HCO3 concentrations in the alluvial plain near the Wei River were 40.66, 141.58, and 328.43 mg/L, respectively.

Groundwater NO3 pollution is a common environmental issue in the Wei River basin due mainly to intensive industrial and agricultural activities (Zhang et al. 2019c). The NO3 content ranges of the pluvial-alluvial fan were 2.24–89.66 mg/L, with an average content of 27.11 mg/L, exceeding China's drinking water standard (Ministry of Health of the PRC and Standardization Administration of the PRC 2006), suggesting great influences of human activities on phreatic water in the pluvial-alluvial fan area, thereby posing certain risks to human health. In contrast, the NO3 content ranges in the groundwater of the alluvial plain were 0.00–70.68 mg/L, with an average content of 18.48 mg/L. Although the concentrations of NO3 in most water samples did not exceed China's drinking water quality standard, there were some influences of anthropogenic factors on the phreatic water quality (Karagüzel et al. 1998).

The average F concentrations in phreatic water were 0.13 and 0.20 mg/L in the upstream and downstream areas, respectively, both of which are within the limits prescribed in the Chinese drinking water quality standard. Indeed, the relatively high pH of phreatic water in the alluvial plain may induce higher concentration of F than that in the pluvial-alluvial fan (Currell et al. 2011). This has already been evidenced by a research conducted in an adjacent area (Li et al. 2014b). Fe and Mn contaminations in the phreatic water were relatively serious. The Fe contents in the phreatic water of the pluvial-alluvial fan and alluvial plain were 0.00–1.80 and 0.00–9.60 mg/L, with average contents of 0.19 and 0.84 mg/L, respectively, while the Mn contents in the phreatic water of the pluvial-alluvial fan and alluvial plain were 0.00–462 and 0.00–1417 μg/L, with average contents of 34.02 and 155.92 μg/L, respectively. In the pluvial-alluvial fan, three sampling sites exhibited higher Fe and Mn concentrations than the Chinese drinking water quality standards. Meanwhile, 12 sampling sites in the alluvial plain showed higher Fe and Mn concentrations than the Chinese drinking water quality standards. The average Fe and Mn concentrations in the phreatic water of the alluvial plain were 4.42 and 4.58 times higher than those observed in the pluvial-alluvial fan area, respectively. The higher coefficients of variation indicate a large spatial variation in the Fe and Mn contents. The concentrations of As in groundwater ranged from 1.46 to 7.86 μg/L, which indicated that the concentration of As are within the WHO and Chinese drinking water standards.

The Piper plot for characterizing the hydrochemical facies was also developed in the study (Fig. 3). The obtained results indicated that HCO3-Ca·Mg was the major phreatic water facies type in the pluvial-alluvial fan near the Qinling Mountains. HCO3-Ca·Mg and SO4·Cl-Ca·Mg were the main groundwater facies types in the alluvial plain in the downstream area. These findings demonstrated that carbonate mineral weathering was an important factor controlling phreatic water chemistry, as well as gypsum dissolution to some extent. The calcium carbonate type of groundwater is mainly derived from carbonate mineral dissolution. Indeed, the major minerals in the submerged aquifer of the Wei River Basin are dolomite, calcite, and feldspar (Li et al. 2014b, 2015), which can increase the Ca2+, Mg2+, and HCO3 contents in phreatic water through dissolution processes. However, high SO42− and Cl contents in phreatic water might be the result of progressive salinization.

Fig. 3
figure 3

Piper diagram showing the hydrochemical characteristics

The Gibbs diagram (Gibbs 1970) has been utilized in several studies to determine the main factors controlling groundwater chemistry (Marghade et al. 2012). The Gibbs plot for phreatic water in the study area is shown in Fig. 4. Fifty-four water samples were plotted in the rock-dominated areas, and the results showed that water‒rock interactions played a decisive role in the phreatic water chemistry in the pluvial-alluvial fan and alluvial plain. The influences of precipitation and evaporation on phreatic water chemistry in the study area were relatively low. Groundwater sampling points located in the alluvial plain were more closely aligned with the evaporation-dominance zone, indicating a strong influence of evaporation on phreatic water chemistry in the alluvial plain, which might be due to the lower groundwater levels in the alluvial plain compared to those in the pluvial-alluvial fan.

Fig. 4
figure 4

Gibbs diagrams indicating general mechanisms of groundwater evolution in the Pluvial-alluvial Fan and Alluvial plain

Hydrogeochemical Simulation Along the Groundwater Flow Path

The Gibbs plot and SI indices of major minerals indicated that water‒rock interactions were the vital factor controlling groundwater chemistry in the study area. The groundwater residence time and the mineral contents of the aquifer, such as carbonate and silicate, affect the degree of water‒rock interactions (Jeong 2001; Wu et al. 2009). Different hydrogeochemical processes in different landscapes result in differences in phreatic water chemistry (Li et al. 2019b). Therefore, in this study, two flow paths were first selected according to the phreatic water flow directions, and then the hydrogeochemical processes were simulated using PHREEQC software. The simulation routes are shown in Fig. 1. Path I is located within Zhouzhi County in the central part of the study area, where the upstream floodplain groundwater flow rates are high, while the phreatic water flow rates downstream are substantially low. Path II is in the eastern part of the study area. Indeed, compared with path I, the phreatic water flow rates in Path II are low without great variations along the path. The main chemical and mineral components in groundwater along flow paths are reported in Table 3 and Table 4.

Table 3 Groundwater chemical fraction of different pathways (mg/L)
Table 4 Possible mineral phase transfer for different pathways calculated by PHREEQC (mmol/L)

The PHREEQC simulation results (Table 4) showed that in Path I of the pluvial-alluvial fan (G40-G37) section, there were slight increases in the major anion and cation concentrations. Albite precipitation, halite dissolution, and cation exchange (Eqs. 6 and 7) along Path I are the main processes causing slight increases in the Na+ concentrations in water. The results suggested occurrences of gypsum and fluorite dissolution along Path I, thereby increasing Ca2+ concentrations in groundwater. In addition, the increase in Ca2+ content also contributed to cation exchange according to Eq. (7). The dissolution of fluorite, halite, gypsum, and calcite along the pathway might also increase the Cl, SO42−, and HCO3 concentrations in phreatic water. In the section G40-G37, hematite shows precipitation while siderite shows dissolution. Whereas, the amounts of dissolution/precipitation are very small. The presence of CO2(g) in the alluvial plain area downstream of Path I (G37-G36) also enhances dolomite dissolution and gypsum precipitation. The continued dissolution of halite, fluorite, gypsum, and illite and the occurrence of cation exchange (Eqs. 4 and 5) can considerably increase the concentrations of major cations along the flow path. The dissolution of hematite, siderite, and pyrolusite increases the amount of Fe and Mn in groundwater.

$${\text{Mg}}^{{2{ + }}} { + }2{\text{NaX}} \to {\text{MgX}}_{2} { + }2{\text{Na}}^{ + }$$
(4)
$${\text{Ca}}^{{2{ + }}} { + }2{\text{NaX}} \to {\text{CaX}}_{2} { + }2{\text{Na}}^{ + }$$
(5)
$$2{\text{Na}}^{ + } {\text{ + MgX}}_{2} \to 2{\text{NaX + Mg}}^{{2{ + }}}$$
(6)
$$2{\text{Na}}^{ + } {\text{ + CaX}}_{2} \to 2{\text{NaX + Ca}}^{{2{ + }}}$$
(7)

The water‒rock interaction in Path II is different from that in Path I. Indeed, CO2 enters the groundwater upstream of Path II (G7-G6), thereby enhancing the dissolution of most minerals except illite and quartz. The dissolution of siderite and pyrolusite increases the Fe and Mn contents in the groundwater. Gypsum and calcite can be precipitated as a result of the continuous groundwater flow through the downstream alluvial plain (G6-G16), reducing the Ca2+ and SO42− concentrations in groundwater. Dolomite dissolution is the main process increasing the Mg2+ concentration in groundwater, while halite dissolution and the exchange of Na+ in submerged aquifers and Mg2+ in phreatic water are the principal processes increasing the Na+ concentration. Hematite, siderite, and pyrolusite underwent precipitation, and the Fe and Mn contents were subsequently reduced.

The simulation results showed that water‒rock interactions contributed significantly to the major ionic contents of groundwater. Indeed, topographical, hydrological, and geological conditions can considerably affect the water‒rock interaction process. The upper section of Path I (G40-G37) is characterized by deep diving depth, steep topography, sand and gravel cobble lithological classes, suitable hydrodynamic environment and runoff conditions, and high diving flow rates, thereby restricting water‒rock interaction in the aquifer and, consequently, resulting in low dissolved amounts of minerals. Moreover, the high groundwater level depths can result in weak evaporation, while the contents of ions along the path increase slightly, with TDS increasing slightly. The G40-G37 section of the aquifer might be dominated by insoluble carbonate or silicate minerals due to long-term leaching (Wang et al. 2009), resulting in extremely low contents of soluble minerals. Thus, the groundwater facies type is Ca·Mg-HCO3. The decrease in the groundwater level depth in the lower part of Path I enhances the evapotranspiration process, while the low topography leads to a subsequent decrease in the hydraulic gradient of groundwater. Furthermore, strong water‒rock interactions, low groundwater flow rates, and the poor permeability of the aquifer substantially enhance mineral dissolution, thereby increasing cation and anion concentrations in groundwater to some extent and changing the water chemistry type of groundwater to the Ca-SO4·HCO3 facies type. The changing pattern of anions in groundwater along Path I is consistent with the hydrogeochemical model proposed by Chebotarev et al. (1955).

Path II is characterized by low groundwater depth (less than 10 m), indicating that CO2(g) is mainly involved in water‒rock interactions. The low topography and groundwater flow rates in this path are conducive to water‒rock interaction, considerably enhancing calcite, dolomite, gypsum, rock salt, and sodium feldspar dissolution in the upper part of Path II compared to those in Path I. The extremely shallow groundwater level depth in the upper section of Path II (less than 3 m) strongly enhances the evaporation process along Path II, thereby substantially increasing the TDS, Fe, and Mn contents in groundwater in this section and resulting in the Ca-HCO3·SO4 facies type of groundwater. Gypsum precipitation in the lower section of Path II results in decreased Ca2+ and SO42− concentrations in groundwater, thereby changing the groundwater facies type to Ca·Mg-HCO3.

Distributions of Fe and Mn Concentrations in Phreatic Water and Their Influencing Factors

NO3, Fe, and Mn are the main contaminants in the study area, and the distribution of NO3-N in the study area has been studied previously (Xu et al. 2023), so this study focuses on the distribution of Fe and Mn. Fe and Mn are essential trace elements for the human body (Magesh et al. 2017). However, the consumption of water containing high Fe and Mn concentrations exceeding 0.3 and 0.1 mg/L, respectively, may result in the accumulation of trace elements in the body and, consequently, cause various diseases (Sharma et al. 2021). The hydrochemical results of groundwater in the Wei River Basin showed that the Fe and Mn contents in phreatic water exceeded the standard in 25.45 and 20% of the groundwater samples, respectively. The spatial distributions of Fe and Mn concentrations are shown in Fig. 5. The results revealed that the distribution of high value points of Fe in phreatic water in the study area was similar to that of Mn. Water samples with excessive Fe and Mn concentrations were mainly distributed in the alluvial plain, where the lithology is mainly sand, gravel pebbles, and sandy clay. From the perspective of administrative divisions, the high Fe and Mn concentrations in phreatic water were mainly distributed in the entire Huyi District, as well as in some parts of Mei and Zhouzhi counties. The maximum concentration of Fe is 9.6 mg/L, and the maximum concentration of Mn is 1417 μg/L, exceeding China's drinking water standards by 32 and 14 times, respectively.

Fig. 5
figure 5

Distribution of typical contaminant concentrations in groundwater. a Concentration of Fe and b Concentration of Mn

Previous studies have shown that reducing conditions are favorable for the reduction of high-valent Fe to divalent Fe (Rusydi et al. 2021; Pezzetta et al. 2011). The low-lying terrain, low groundwater runoff, and infiltration of landfill leachate are the main factors enhancing reducing conditions in groundwater (Yuan et al. 2021), which favor the dissolution and enrichment of Fe and Mn in the submerged aquifer in the Huyi District. In addition to the high leaching rates of waste effluent in the district, the widespread distribution of industrial pollution sources might also contribute to the high Fe and Mn concentrations in phreatic water (Sharma et al. 2020; Zhang et al. 2022). Moreover, the redox environment and groundwater flow rates also affect the Fe and Mn concentrations in groundwater. Previous studies have demonstrated that Fe and Mn in groundwater mainly come from mineral dissolution, particularly under low phreatic water flow rates, which are conducive to the dissolution of minerals containing Fe and Mn (Liu et al. 2022). Indeed, the reducing environment and the slow groundwater flow rate promote the elevated Fe and Mn contents in the phreatic water of Huyi District and the alluvial plain.

The correlation coefficients between Fe, Mn, and other major hydrochemical parameters were investigated using Pearson correlation analysis to further reveal the factors affecting the abundance and enrichment of Fe and Mn (Table 5). The chemical properties of Fe and Mn are extremely similar, and both of them are typical redox elements that may change their state of existence under different environmental conditions. Therefore, their levels tend to vary in groundwater. In the study area, Fe showed a positive correlation coefficient of 0.772 with Mn, indicating that these elements in groundwater had similar sources and that their enrichment factors were similar. Fe and Mn were negatively correlated with ORP, with correlation coefficients of −0.492 and −0.666, respectively. McMahon et al. (2008) demonstrated the stability of NO3 in an oxidizing environment, indicating that NO3-N concentrations in groundwater are higher in oxidizing environments. The negative correlation coefficients of NO3-N with Fe and Mn in groundwater in the study area were −0.213 and −0.391, respectively, and the NO3-N content in groundwater samples with high Fe and Mn contents tended to be smaller, suggesting a reducing environment for groundwater. This further indicates that the reducing environment is one of the factors affecting the Fe and Mn enrichment in groundwater in the study area. Debye-Hückel's theory suggests that high TDS contents lead to lower ionic activity coefficients, thereby increasing the dissolved Fe and Mn concentrations (Zhang et al. 2020b). Fe and Mn concentrations exhibited significant positive correlation coefficients with TDS of 0.634 and 0.549, respectively, indicating that the Fe and Mn enrichment in the phreatic water was also influenced by high TDS contents. The high contents of anions (e.g., HCO3, SO42−, and Cl) in phreatic water can also enhance the dissolution of Fe and Mn, resulting in their enrichment in the water, which is demonstrated by the positive correlation of Fe and Mn contents with Cl, SO42−, and HCO3. The research results of Rusydi et al. (2021) have proven that inorganic complexes promote the dissolution of Fe and Mn.

Table 5 Correlation of groundwater Fe and Mn with other physicochemical parameters

Stochastic Health Risks in Phreatic Water

The deterministic health risk of NO3-N has been reported by Xu et al. (2023). However, the stochastic health risk of it was never reported in the study area. Therefore, the stochastic health risks of NO3-N, Fe, and Mn were assessed using Monte Carlo methods, and the results of the non-carcinogenic risks of NO3-N, Fe, and Mn for adults and children in the study area are shown in Fig. 6a–h. The total non-carcinogenic risk for NO3-N, Fe, and Mn for adults was 0.06–1.19 (at the 95% confidence level) with a mean value of 0.52 and a probability of causing a health hazard of 7.2%. The total non-carcinogenic risk range for NO3-N, Fe, and Mn for children was 0.19–2.68 (at the 95% confidence level), with a mean value of 1.31 and a 28.5% probability of causing a health hazard. Among them, NO3-N poses the greatest health risk to the population, causing a health risk probability of 3.1% and 18.3%, respectively. The health risk probabilities of Mn for adults and children were 2.3% and 4.9%, respectively, with mean values of 0.15 and 0.37. Fe posed the lowest health risk to the local population with mean values of 0.05 and 0.09 for adults and children, respectively, causing a very small probability of health risk. The probability of the non-carcinogenic health risk for children was higher than that for adults. Monte Carlo simulations showed that NO3-N and Mn were the main contaminants that contributed to health risks for different age groups in the study area. Particularly, the area with the highest probability of health risk due to Mn was the Huyi District, where groundwater Mn concentrations are generally high. This finding is, indeed, consistent with previous related research reports (Ahmed et al. 2019; Sharma et al. 2021; Liu et al. 2022).

Fig. 6
figure 6

Plots of a total non-carcinogenic risk for adults b total non-carcinogenic risk for children c non-carcinogenic risk of NO3-N for adults d non-carcinogenic risk of NO3-N for children e non-carcinogenic risk of Fe for adults f non-carcinogenic risk of Fe for children g non-carcinogenic risk of Mn for adults and h non-carcinogenic risk of Mn for children

Studies on the hazards of NO3, Fe, and Mn in humans have shown that high concentrations of NO3 can cause toxicity, and that the accumulation of Mn may cause Parkinson's disease in adults, endanger adult mental health, and affect the intelligence quotient (IQ) of children and their learning ability (Frisbie et al. 2012; Farina et al. 2013). Therefore, the outcome of Monte Carlo evaluation shows that it is important to treat phreatic water with high NO3, Fe, and Mn contents before its use for drinking purposes. Particular attention needs to be paid to the potential health problems for children in the Huyi District, where high groundwater NO3, Fe and Mn concentrations have been observed.

Conclusions

This study investigated the characterization of hydrochemical changes along the phreatic water flow direction, as well as Fe, NO3 and Mn-associated human health risks, in the rural areas of the Wei River Basin, China. In addition, the distribution of Fe and Mn in the Wei River Basin and its influencing factors are discussed in this study. The following research findings were obtained:

  • In the pluvial-alluvial fan and alluvial plan, the abundance of cations followed the order of Ca2+ > Mg2+ > Na+ > K+ and Ca2+ > Na+ > Mg2+ > K+, respectively. Water‒rock interaction is the key factor influencing groundwater chemistry in the Wei River Basin. In addition, the groundwater chemical types of the pluvial-alluvial fan are all HCO3-Ca·Mg facies types, while 86.67% of the groundwater chemical types of the alluvial plain are HCO3-Ca·Mg facies types. Twelve percent and 40% of groundwater samples in the pluvial-alluvial fan and alluvial plain, respectively, exhibited high Fe and Mn concentrations, exceeding China's drinking water standards.

  • The simulation results indicated fluorite, gypsum, halite, illite, siderite, and pyrolusite dissolution along Path I, while albite precipitation was observed along path I. The exchange of Na+ in groundwater with Ca2+ in the upper section was replaced with the exchange of Ca2+ in groundwater with Na+ in the aquifer. In path II, the dissolution of gypsum, dolomite, siderite, and pyrolusite occurs in the upstream (G7‒G6) and turns to precipitation in the downstream area (G6‒G16). The differences between the two flow paths in water‒rock interaction might be due to the different groundwater flow rates, groundwater levels, geological conditions, and hydrogeological conditions.

  • The spatial distribution patterns of groundwater Fe and Mn contents in the Wei River Basin were similar. Higher Fe and Mn contents were noted in the eastern part of the study area (the Huyi District) and in some parts of Zhouzhi County and Mei County. The low ORP, low phreatic water flow rates, and high TDS contents might contribute to Fe and Mn enrichment in phreatic water. Moreover, sewage infiltration from industries and landfills may also contribute to high phreatic water Fe and Mn concentrations.

  • The probability of health risk from NO3-N, Fe, and Mn is 7.2% for adults and 28.5% for children. The main contaminants that pose health risks to the population are NO3-N and Mn, with the probability of health risks for children and adults being 18.3% and 3.1% for NO3-N, and 4.9% and 2.3% for Mn, respectively. The health risk of Fe to the local population is negligible. Therefore, it is necessary to ensure safe drinking water to reduce the health risk induced by NO3-N and Mn in the Wei River Basin.