Aiming at problems such as inaccurate simulation of groundwater level in closed hydrogeological units, difficult quantitative prediction of soil salinization degree, and unclear water and salt migration, a three-dimensional simulation model of groundwater was established, and the development trend of groundwater level and soil salinization was predicted. The groundwater level simulation results are consistent with the changing trend of the observational data and the simulation model can be used to predict groundwater levels in closed hydrogeological units. When climate scenarios and human activity change are set as future scenarios, the average groundwater buried depth will continue to decrease in the next 10 years, the area with a groundwater buried depth of 0–5 m will exceed 50%, and even the groundwater will overflow to the surface. The change of soil salt content is predicted quantitatively and the salinization degree will develop from ‘saline–alkali soil’ and ‘mild saline–alkali soil’ to ‘medium saline–alkali soil’. The process of water and salt migration in three key hydrologic zones, namely ‘irrigation infiltration’, ‘solute migration’, and ‘water and salt accumulation’, is revealed in the closed hydrogeological unit. The research results can provide new ideas for the improvement of soil and water environment problems.

  • Simulation and prediction of groundwater level in closed hydrogeological units of arid irrigation areas.

  • The spatial distribution of salinization in the study area is closely related to the buried depth of groundwater.

  • The movement of groundwater can be divided into three key hydrological zones: ‘irrigation infiltration’, ‘solute transport’, and ‘water collection and salt accumulation’.

Arid and semi-arid areas are rich in land resources and sufficient in light and heat conditions, but water resources are in serious shortage. Irrigated agriculture accounts for about 40% of global crop output (Wang et al. 2019). In the arid irrigation area of northwest China, agricultural production mainly depends on water from the Yellow River for irrigation (Li et al. 2021). However, the transfer of a large number of water resources and the long-term extensive irrigation mode have broken the original law of groundwater movement in irrigation areas (Scanlon et al. 2012). The law of regional water and salt transport has been continuously reorganized and the agricultural water and soil environment has changed slowly. The process of groundwater recharge and movement is different in different hydrogeological units in the arid pumping irrigation area, resulting in different characteristics of groundwater dynamic distribution (Xue et al. 2020). Due to a lack of observational data, special climatic conditions, and geographical environment, it is difficult to accurately assess the future trend of groundwater movement and the dynamic distribution characteristics of groundwater in the closed hydrogeological unit at the regional scale, and it is also difficult to quantitatively predict the degree of soil salinization. The evolution process of groundwater and salinization is unclear and the sustainable development of soil and water environments in the irrigated area is threatened in the future. By constructing a three-dimensional simulation model of groundwater in the closed hydrogeological unit and setting the future scenario model, the purpose of dynamic simulation of groundwater level and prediction of soil salinization can be realized in the future. The groundwater movement characteristics in the closed hydrogeological unit and their relationship with the evolution of soil salinization can be revealed. The results of this study can provide a better understanding of the water and salt transport model of the closed hydrogeological unit, which can provide the basis for formulating scientific and reasonable irrigation and drainage measures in irrigation areas, and have important significance for improving the ecological environment and sustainable development in irrigation areas.

The groundwater level is the key to groundwater circulation in irrigation areas and the study of groundwater dynamic evolution laws and the mechanism is an important direction of agricultural water resources research in irrigation areas (Maheswaran et al. 2016). The combination of the regional hydrological model and groundwater flow model is an important way to study the numerical simulation of groundwater level (Cheng et al. 2014; Wu et al. 2014). Chen et al. (2016) studied the irrigation water-saving potential of the Heihe River Basin in China by the Visual Modular Three-dimensional Finite-difference Ground-water Flow Model (MODFLOW). Mao et al. (2018) established a water–salt balance model for well irrigation and canal irrigation based on the SaltMod and analyzed the evolution law of soil salt under the well-canal combined drip irrigation mode. Wu et al. (2018) simulated the dynamic simulation and prediction of groundwater level in the combined well and canal irrigation area based on the MODFLOW three-dimensional numerical model. Jiang et al. (2020) coupled the Soil and Water Assessment Tool (SWAT) model with the MODFLOW model to obtain the dynamic change of groundwater level in a basin. These research results have confirmed that the dynamic simulation of groundwater level can be carried out through numerical simulation. The groundwater movement model has potential advantages in considering spatial heterogeneity, vertical leakage through a clay layer, irregular site boundaries, steep hydraulic gradient near a drainage ditch, air distribution of recharge and evaporation, etc (Bradford & Acreman 2003; Varouchakis et al. 2015). However, there are few simulation results on groundwater level in closed geological units in water-pumping irrigation areas and there are some problems in groundwater dynamic simulation, such as a short period, the insufficient basis of scenario assumptions, and low accuracy, which cannot better reflect the long-term dynamic characteristics of groundwater in closed hydrogeological units (Xie et al. 2012). It is difficult to realize groundwater prediction under special geological conditions and understand the long-term development trend of groundwater in irrigated areas.

Recent research has studied the relationship between the dynamic change of groundwater level and the ecological environment in arid irrigation areas and the influencing factors. When the groundwater level drops sharply, it may lead to vegetation degradation, land desertification, and wetland drought in irrigation areas (Jiang et al. 2015; Liu et al. 2018). When the recharge is excessive, the groundwater level will rise, which may lead to soil salinization, swamping, and groundwater salinization (Han & Zhou 2018; Çadraku 2021). Affected by natural conditions, the suitable groundwater level in different irrigation areas is the time-space variation (Wang et al. 2022). The dynamic change of groundwater level in irrigation areas is influenced by rainfall, topography, evaporation, surface irrigation, surface vegetation coverage, exploitation and utilization of groundwater, drainage, and other factors (Askri et al. 2010; Syed et al. 2021; Wayangkau et al. 2021). The arid irrigation area lies deep in the hinterland of the mainland, with its special climatic conditions and natural environment. Different hydrogeological units have different groundwater recharge and movement under different irrigation conditions, and the groundwater level has different development trends (Sundararajan & Sankaran 2020). There are many qualitative studies on the relationship between groundwater level and soil salinization (Seeboonruang 2013; Ren et al. 2019), but few quantitative studies on the prediction of soil salinization from groundwater level. In the closed hydrogeological unit, the groundwater movement process, the migration trend of soil salt, and the converging mode of surface water in different hydrologic zones are not clear. It is difficult to predict soil salinization degree in the medium- and long-term quantitatively and the mutual feeding process between soil salinization evolution and groundwater dynamic change is not clear.

In this study, the closed hydrogeological unit in the Jingtaichuan Electric-lifting Irrigation Area in Gansu Province, China was selected as the research area and a three-dimensional model of groundwater movement was established by using Visual MODFLOW software, and the input items of regional climate change and human activity change were analyzed, so that the future groundwater level was simulated and then the development trend of regional soil salinization was predicted. In this study, a groundwater level simulation model suitable for the closed hydrogeological unit in the drought-pumping irrigation area is constructed, and the groundwater dynamic simulation method of the closed hydrogeological unit is further improved. The temporal and spatial changes of groundwater level and salinization degree in the future are predicted, and the transport modes of water and salt at the regional scale under special hydrogeological conditions are clarified. The research results provide a theoretical basis for water and salt control in arid irrigated areas and have important significance for monitoring and prevention of salinization.

Overview of the study area

Jingtaichuan Electric-lifting Irrigation Area (Phase I) is located in the central part of Jingtai County, Gansu Province, China (between 103°20′–104°04′E and 37°26′–38°41′N). The overall terrain of the irrigation area inclines from west to east, with low mountains and hills slopes. Agricultural production in the area mainly relies on water-lifting irrigation from the Yellow River. Affected by the low-lying and closed terrain and poor irrigation and drainage, the groundwater level shows a continuously increasing trend, which leads to the continuous development of soil salinization in the irrigation area. The total area of the saline–alkali land distributed in the closed hydrogeological units in the irrigation area was 4,500 hm2, accounting for 21.75% of the total area of cultivated land.

The study area, located in the eastern part of the irrigation area, is about 32 km long from south to north, 20 km wide from east to west, covering an area of about 32,000 hm2, which is a closed hydrogeological unit consisting of three intermontane basins: Caowotan, Luyang, and Xingquan Basins. The geographical location of the study area is shown in Figure 1.
Figure 1

Geographical location diagrams of the study area.

Figure 1

Geographical location diagrams of the study area.

Close modal

The study area has a typical temperate continental climate with little rainfall and strong evaporation. The annual average precipitation is 185.7 mm and the annual average evaporation is 2,433.7 mm with most precipitation during June–September. The annual sunshine duration is 2,714 h, the frost-free season lasts for 190 days, and the annual average temperature is 8.5 °C with a large temperature difference (37.3 to −27.3 °C) between summer and winter. The soil surface in the study area is cracked and porous with strong decomposition of organic matter. The soluble salt in the soil matrix is prone to be transported to the surface and accumulate on the surface due to the strong evaporation, which forms surface salt accumulation and saline–alkali soil.

The terrain is high in the northwest and low in the southeast with a slope of 1/50–1/200. The topographic map of the study area is shown in Figure 2. The geological development of the region is complete, from lower Paleozoic to Cenozoic outcrops. The strata in the irrigated area from old to new are as follows: Middle Lower Ordovician (O1-2), Devonian (D), Carboniferous (C1-3), Permian (P), Triassic (T1-3), Tertiary Pliocene (N2), and Quaternary (Q1-4). The geological distribution map of the study area is shown in Figure 3.
Figure 2

Topographic map of the study area.

Figure 2

Topographic map of the study area.

Close modal
Figure 3

Geological distribution map of the study area.

Figure 3

Geological distribution map of the study area.

Close modal

Data acquisition

The amount of surface irrigation water in the study area comes from Statistics of Water Consumption in Water Diversion for Jingtaichuan Electric-lifting Irrigation Project Phase I (1972–2016) and the geological parameters come from the Jingtaichuan Electric-lifting Irrigation Area Authority of Gansu Province, including the Technical Design Report for Jingtaichuan Electric-lifting Irrigation Project Phase I (1971), the Land Survey Report for Jingtaichuan Electric-lifting Irrigation Area (1971–2016), and the Hexi Corridor Hydrogeological Survey/Census Report (2015). Groundwater monitoring wells are arranged in the irrigation area by the irrigation area authority and the water level of monitoring wells is recorded on the spot every month. The water levels of seven representative groundwater monitoring wells are selected for simulation and verification. Evaporation and precipitation data come from the monitoring results of the Jingtai County Meteorological Bureau in Gansu Province. The altitude data and cultivated land distribution in the study area were extracted from Digital Elevation Model (DEM) data and remote sensing images downloaded from the website of Geospatial Data Cloud.

Research methods

This paper studies the simulation and prediction of groundwater levels by using Visual MODFLOW software. The hydrogeological model of the study area is generalized and the numerical simulation model of groundwater in the study area is established. Using the known groundwater level, the geological parameters of the aquifer in the study area are corrected, verified, and calibrated. The future scenarios are assumed, the groundwater changes are simulated, and the soil salinization degree is predicted by combining the previous research results of the research group on the relationship between groundwater depth and soil salt content. The cultivated land distribution in the study area is extracted by coordinate definition, image registration and mosaic cutting, ISO cluster analysis, and image recognition in ArcGIS10.2 Spatial Analyst module, combined with the actual land use situation through maximum likelihood classification.

Hydrogeological conceptual model

  • (1)

    Generalization of boundary conditions

Generalization of the vertical boundary: the water and soil environment in the study area is mainly affected by the groundwater depth, and the water level simulation is mainly aimed at phreatic water. Taking the ground line as the upper boundary, the phreatic water level is generalized as a free water surface interacting with the external water, and the phreatic water floor is taken as the lower water-proof boundary (Qadir et al. 2016). Lateral boundary generalization: the selected research area is a closed hydrogeological unit in Phase I of the irrigation area. This area is surrounded by bedrock to form a closed faulted basin and there is no surface runoff in it, so groundwater cannot be discharged from the research area through underground runoff. In the western region, there are surface irrigation water and rainfall inflows from adjacent areas. The boundary conditions of the study area are shown in Figure 4.
  • (2)

    Generalization of aquifer structure

Figure 4

Boundary conditions of the study area.

Figure 4

Boundary conditions of the study area.

Close modal

The main groundwater movement area in the study area is the phreatic layer and the lower confined aquifer is almost unaffected by the outside, so only the phreatic layer is considered in the simulation (Senthilkumar & Gnanasundar 2022). The thickness of the phreatic layer is about 50–100 m. According to the digital elevation data extracted from DEM, the ground elevation is obtained by interpolation with Surfer software, and the top elevation map of the phreatic layer can be obtained by combining the groundwater depth data of each point. According to the well completion depth and geological drilling data in the well completion files of groundwater observation wells at each point, the bottom elevation of the phreatic layer can be known, and finally, the obtained grid file (*.grd) of each layer elevation can be imported into the Visual MODFLOW software.

  • (3)

    Generalization of hydraulic characteristics

The aquifer in the study area is widely distributed and the groundwater movement conforms to Darcy's law. The recharge and discharge items of the whole groundwater system change with time and space, which is an unstable flow. The geological parameters of the aquifer change with the spatial position, which is heterogeneous; after comprehensive analysis, the groundwater flow system in the study area is generalized as a three-dimensional, heterogeneous, and isotropic unsteady flow.

Establishment of the model

  • (1)

    Establishment of the numerical simulation model.

According to the geological conceptual model of the study area, a mathematical model is established as in the following equation:
(1)
where Kx,Ky, and Kz are the permeability coefficients in all directions, m/d; H is the aquifer water level, m; Z is the elevation of the aquifer floor, m; W is the recharge strength of the aquifer, m/d; E is evaporation and excretion intensity, m/d; h0 is the initial water level of the aquifer, m; q is the amount of supply and discharge, m/d; S1 is the river boundary, S2 is the inflow boundary, outflow boundary and water-proof boundary; Ω is the seepage area; and n is the normal direction outside the boundary.
  • (2)

    Grid division

The simulation area of the study area is about 320 km2. The simulation area is divided into 200 m × 300 m unit grids by Visual MODFLOW.

  • (3)

    Parameter partition

Combined with regional characteristics such as topography, the study area is divided into five geological parameter areas, as shown in Figure 5. Through consulting the engineering geological data, the permeability coefficient and specific yield of each region are preliminarily determined, and the initial values of each parameter are shown in Table 1.
  • (4)

    Input of source and sink items

Figure 5

Zoning map of hydrogeological parameters in the study area.

Figure 5

Zoning map of hydrogeological parameters in the study area.

Close modal
Table 1

Initial values of permeability coefficient and water supply

Partition12345
Permeability coefficient 1.23 8.34 4.55 11.51 12.26 
Water supply 0.15 0.21 0.15 0.13 0.12 
Partition12345
Permeability coefficient 1.23 8.34 4.55 11.51 12.26 
Water supply 0.15 0.21 0.15 0.13 0.12 

The recharge items in the study area mainly include rainfall infiltration recharge, channel leakage recharge, field irrigation recharge, lateral ground recharge, and irrigation water inflow recharge. The discharge items include diving evaporation and drainage ditch outflow (Liu et al. 2018).

  • (a)

    Precipitation infiltration recharge

Atmospheric precipitation will seep into the soil under the gravity of the earth and move down to the aquifer through the soil capillaries to recharge the groundwater as defined in the following equation:
(2)
where is the precipitation infiltration recharge, mm; P is regional precipitation, mm; is precipitation infiltration coefficient. In the irrigated area, the annual precipitation is small, evaporation is large, and rainfall infiltration recharge is very small. The rainfall infiltration recharge coefficient is no longer divided and the value is 0.08 in the study area.
  • (b)

    Channel leakage supply

When water is transported to farmland through the channel, irrigation water leaks around along the channel line to replenish groundwater as expressed in the following equations:
(3)
(4)
where is the channel leakage supply, m3/d; is the channel headwater diversion, m3/d; is the correction coefficient, the value is 0.9 in this study; and is the canal system effective utilization coefficient. According to the annual operation report provided by the irrigation district management department, the canal system's effective utilization coefficient is 0.78.
  • (c)

    Field irrigation supply

After the irrigation water enters the farmland, it leaks downward to recharge the groundwater as defined in the following equation:
(5)
where is the field irrigation supply, mm; is the field irrigation supply coefficient; and is irrigation water, mm. According to the data of the irrigation test station in the irrigation area, the value of is shown in Table 2.
  • (d)

    Lateral ground supply

Table 2

Values of field irrigation supply coefficient

Groundwater depth (m)<1010–2020–3030–40>40
 0.21 0.185 0.135 0.1 0.08 
Groundwater depth (m)<1010–2020–3030–40>40
 0.21 0.185 0.135 0.1 0.08 
Rainfall, irrigation and other groundwater flow from the higher ground to the lower ground to form lateral ground recharge, and then seep downward to recharge groundwater. This is expressed in the following equation:
(6)
where is the lateral ground supply, m3/d; K is the soil permeability coefficient, m/d; B is the boundary length, m; and is the field irrigation supply coefficient.
  • (e)

    Diving evaporation

Groundwater moves upward due to sunshine, temperature, and other reasons and evaporates into the atmosphere through soil capillaries as expressed in the following equation:
(7)
where E is the groundwater evaporation, mm/y; is the evaporation intensity, mm/y; h is the groundwater depth, m; and H is the limit depth of groundwater, m. The value of is related to groundwater depth, which is shown in Table 3.
  • (f)

    Drainage ditch.

Table 3

Values of evaporation intensity

Groundwater depth (m)0.00.51.01.52.02.53.03.54.04.55.06.07.0> 7.0
(mm/y) 1,385.0 595.5 306.7 232.0 170.0 86.4 60.0 15.0 10.8 0.1 0.08 2.0 1.0 
Groundwater depth (m)0.00.51.01.52.02.53.03.54.04.55.06.07.0> 7.0
(mm/y) 1,385.0 595.5 306.7 232.0 170.0 86.4 60.0 15.0 10.8 0.1 0.08 2.0 1.0 

Irrigation water that has not penetrated the ground and some groundwater with higher water levels will be discharged out of the study area through the drainage ditch, which will be sorted out according to the collected monitoring data of each water outlet in the irrigation area.

Accuracy inspection

Origin was used to plot the variation trend of groundwater level. Kriging interpolation in Surfer was used to analyze the spatial distribution characteristics of groundwater depth in the study area (Jabeen et al. 2019). In order to determine whether the accuracy of groundwater level prediction meets the requirements, MAE (mean absolute error), MRE (mean relative error), RMSE (root mean square error), and R2 (coefficient of determination) are used to evaluate the simulation accuracy as in the following equations:
(8)
(9)
(10)
(11)
where is the observed value of the ith monitoring point; is the average value of the observed values; is the simulated value of the ith monitoring point; is the average value of the simulated values; and n is the number of the monitoring points.

Model calibration and verification

Model correction

The correction process of the model was constructed using manual correction in this study. According to the data of the study area, the permeability coefficient, water supply degree, and other major parameters of the model were preliminarily formulated, and the groundwater level was simulated. The preliminary simulation results were compared with the observed values. According to the errors, the preliminary parameters were adjusted manually by subregion until the simulated values of the model is consistent with the observed values.

According to the preliminarily determined geological parameters, taking the groundwater level on 1 January 2001, as the initial water level and 31 December 2001, as the output result, seven groundwater monitoring wells with relatively perfect monitoring data are selected to correct the model. Figure 6 shows the simulation results of the groundwater level of each representative monitoring well and Table 4 shows the precision evaluation results.
Table 4

Analysis table of simulation precision of representative groundwater level monitoring wells during the correction period

Evaluation indexZongerzhi (Phase I)Xierzhi (Phase I)ShichengNantanbaduiChengguanyiduiSongliangyiduiMazhuang
MAE (m) 0.007 0.027 0.074 0.031 0.071 0.023 0.175 
MRE (m) 0.002 0.001 0.008 0.001 0.016 0.001 0.013 
RMSE (m) 0.008 0.035 0.092 0.037 0.088 0.031 0.237 
R2 0.9434 0.9246 0.9725 0.9645 0.9851 0.9191 0.8399 
Evaluation indexZongerzhi (Phase I)Xierzhi (Phase I)ShichengNantanbaduiChengguanyiduiSongliangyiduiMazhuang
MAE (m) 0.007 0.027 0.074 0.031 0.071 0.023 0.175 
MRE (m) 0.002 0.001 0.008 0.001 0.016 0.001 0.013 
RMSE (m) 0.008 0.035 0.092 0.037 0.088 0.031 0.237 
R2 0.9434 0.9246 0.9725 0.9645 0.9851 0.9191 0.8399 
Figure 6

Comparison between simulated and observed groundwater levels of representative monitoring wells during the correction period.

Figure 6

Comparison between simulated and observed groundwater levels of representative monitoring wells during the correction period.

Close modal

It can be seen from Table 4 that the maximum MAE of the numerical simulation results of each monitoring well is 0.175 m, the maximum MRE is 0.016 m, the maximum RMSE is 0.237 m, and the minimum value of R2 is 0.8399. The simulation error is small and the precision is high, which can meet the needs of irrigation district management. It can be seen from Figure 6 that the predicted water level of each monitoring well matches the actual water level well in the identification period. Although there are errors in some times, the changing trend of the simulated value is consistent with the observed value. The model can accurately predict the end-of-year value of groundwater depth in the identification period and only needs to fine-tune the parameter zoning and geological parameters.

Model verification

The model is verified by adopting the adjusted parameter zoning and geological parameters, taking the groundwater level on 1 January 2006, as the initial water level and 31 December 2006, as the output result. Figure 7 shows the simulation results of the groundwater level of each representative monitoring well and Table 5 lists the precision evaluation results.
Table 5

Analysis table of simulation precision of representative groundwater level monitoring wells during the validation period

Evaluation indexZongerzhi (Phase I)Xierzhi (Phase I)ShichengNantanbaduiChengguanyiduiSongliangyiduiMazhuang
MAE (m) 0.149 0.177 0.134 0.174 0.184 0.045 0.126 
MRE (m) 0.104 0.007 0.016 0.007 0.049 0.002 0.01 
RMSE (m) 0.155 0.221 0.139 0.186 0.219 0.05 0.131 
R2 0.6648 0.9932 0.8151 0.6777 0.6178 0.8518 0.7184 
Evaluation indexZongerzhi (Phase I)Xierzhi (Phase I)ShichengNantanbaduiChengguanyiduiSongliangyiduiMazhuang
MAE (m) 0.149 0.177 0.134 0.174 0.184 0.045 0.126 
MRE (m) 0.104 0.007 0.016 0.007 0.049 0.002 0.01 
RMSE (m) 0.155 0.221 0.139 0.186 0.219 0.05 0.131 
R2 0.6648 0.9932 0.8151 0.6777 0.6178 0.8518 0.7184 
Figure 7

Comparison between simulated and observed groundwater levels of representative monitoring wells during the validation period.

Figure 7

Comparison between simulated and observed groundwater levels of representative monitoring wells during the validation period.

Close modal

It can be seen from Table 5 that in the numerical simulation results of representative monitoring wells in the verification period, the maximum MAE of groundwater level is 0.184 m, the maximum MRE is 0.104 m, and the maximum RMSE is 0.221 m. There are certain differences in R2 values, but they are all above 0.6. The simulation accuracy can meet the prediction requirements of the actual groundwater level in the study area. As can be seen from Figure 7, the predicted water level of each monitoring well is different from the actual water level during the verification period, and the predicted water level is higher than the observed value in many cases. The water level of the Shicheng Village observation point had no obvious change at the end of the year, and the water level of other observation points increased to some extent at the end of the year. After verification, the prediction accuracy of this model can meet the research needs, and it can predict the dynamic change of groundwater in the future study area. The final parameter values are shown in Table 6.

Table 6

Final values of permeability coefficient and water supply

Partition12345
Permeability coefficient 1.65 8.12 4.31 10.15 13 
Water supply 0.15 0.20 0.13 0.15 0.1 
Partition12345
Permeability coefficient 1.65 8.12 4.31 10.15 13 
Water supply 0.15 0.20 0.13 0.15 0.1 

Construction of future scenarios

Climate change scenario

The study area is an arid one, where the annual precipitation is far less than the annual evaporation amount. The main factor of groundwater level recharge is surface irrigation, and the proportion of precipitation recharge to the total annual recharge is small. The precipitation factor has little influence on the simulation of groundwater change. Precipitation varies little from year to year, so the average precipitation in the study area for many years is used as the climate input condition. The irrigation water quantity is input according to the irrigation quota formulated by the irrigation district administration. To verify the rationality of future scenario construction, the groundwater level on 1 January 2011 is taken as the initial water level, and the groundwater level on 31 December 2016 is taken as the output result. Figure 8 and Table 7 show the simulation results and precision evaluation results of the groundwater level of representative monitoring wells.
Table 7

Analysis table of simulation precision of representative groundwater level monitoring wells in 2016

Evaluation indexZongerzhi (Phase I)Xierzhi (Phase I)ShichengNantanbaduiChengguanyiduiSongliangyiduiMazhuang
MAE (m) 0.246 0.051 0.273 0.385 0.311 0.11 0.382 
MRE (m) 1.598 0.002 0.034 0.014 0.129 0.006 0.038 
RMSE (m) 0.275 0.061 0.311 0.401 0.317 0.126 0.417 
R2 0.6352 0.9101 0.7966 0.7219 0.6655 0.7944 0.8130 
Evaluation indexZongerzhi (Phase I)Xierzhi (Phase I)ShichengNantanbaduiChengguanyiduiSongliangyiduiMazhuang
MAE (m) 0.246 0.051 0.273 0.385 0.311 0.11 0.382 
MRE (m) 1.598 0.002 0.034 0.014 0.129 0.006 0.038 
RMSE (m) 0.275 0.061 0.311 0.401 0.317 0.126 0.417 
R2 0.6352 0.9101 0.7966 0.7219 0.6655 0.7944 0.8130 
Figure 8

Comparison between simulated and observed groundwater levels of representative monitoring wells in 2016.

Figure 8

Comparison between simulated and observed groundwater levels of representative monitoring wells in 2016.

Close modal

It can be seen from Table 7 and Figure 8 that, under the above climate scenario model, the MAE of the simulated water level of each observation well is 0.051–0.385 m, and the MRE is 0.002–0.129 m. Only the large value of 1.598 m appears in the total of the two monitoring wells and the RMSE is 0.061–0.417 m. The prediction accuracy meets the prediction requirements and the multi-year average value can be used as the input of future climate conditions for groundwater prediction.

Changes in human activities

This study area is a water-lifting irrigation area and the farmland irrigation method is surface flood irrigation. Groundwater recharge is greatly affected by the irrigation amount. The irrigation quota is unchanged and the total amount of irrigation is mainly affected by the change in cultivated land area. Through remote sensing interpretation and analysis of cultivated land distribution in each year in the study area by ArcGIS, the distribution of cultivated land from 2001 to 2016 is shown in Figure 9, and the proportion of the cultivated land area is shown in Table 8. Most of the cultivated land in the study area is concentrated in the northwest, central, and southwest, and a few plots are distributed along irrigation channels and drainage ditches. In 2001, the cultivated land in the study area was sparse, accounting for only 28.39% of the total. With the completion of the supporting projects of the first and second phases of the irrigation area, the irrigation area's water extraction increased, the regional agricultural scale expanded, and the cultivated land area gradually increased. In 2011, the proportion of cultivated land increased to 37.44%. After 2011, the growth of cultivated land area slowed down, and by 2016, the proportion of cultivated land area was 39.08%, which only increased by 1.64% in 5 years. It can be seen that the cultivated land area in the study area has tended to be balanced and stable since 2011. Combined with the opinions of irrigation district managers on the future development of irrigation districts and the national protection policy of cultivated land, it is assumed that in the next 15 years, the cultivated land area and spatial distribution in the study area will not suddenly change. Refer to 2016 for the distribution of cultivated land.
Table 8

The proportion of cultivated land area during 2001–2016

Year2001200620112016
Proportion of cultivated land area (%) 28.39 32.89 37.44 39.08 
Year2001200620112016
Proportion of cultivated land area (%) 28.39 32.89 37.44 39.08 
Figure 9

Farmland distribution map of the study area during 2001–2016.

Figure 9

Farmland distribution map of the study area during 2001–2016.

Close modal

Prediction of groundwater level development trend

By setting the determined climate scenarios and human activity change scenarios in the Visual MODFLOW model, the distribution of groundwater flow fields in the study area in 2021, 2026, and 2031 can be predicted. The groundwater level data of each interpolation point can be extracted and the groundwater depth values of interpolation points can be obtained. The spatial distribution of groundwater depth in 2021, 2026, and 2031 can be obtained by Surfer, as shown in Figure 10, and the characteristic values of groundwater depth extracted from the study area are shown in Table 9.
Table 9

Characteristic values of groundwater buried depth from 2016 to 2031 (unit: m)

YearMaximumMinimumAverage
2016 25.874 0.163 7.565 
2021 25.401 −0.075 7.085 
2026 24.786 −0.172 6.227 
2031 24.083 −0.258 5.051 
YearMaximumMinimumAverage
2016 25.874 0.163 7.565 
2021 25.401 −0.075 7.085 
2026 24.786 −0.172 6.227 
2031 24.083 −0.258 5.051 
Figure 10

Spatial interpolation diagram of groundwater buried depth from 2016 to 2031 (unit: m).

Figure 10

Spatial interpolation diagram of groundwater buried depth from 2016 to 2031 (unit: m).

Close modal

It can be seen from Figure 10 that the spatial distribution pattern of groundwater depth in the study area has not changed greatly in the future and that the groundwater depth is still gradually decreasing from west to east. The groundwater depth of 0–5 m in the study area will continue to expand and will exceed 50% of the study area by 2031. Groundwater will overflow the surface in the northern basin area, the overflow area will continue to increase, and the maximum overflow depth will reach 0.26 m by 2031. The area where the groundwater depth is more than 25 m will decrease continuously and will disappear in the study area by 2031. As can be seen from Table 9, the minimum groundwater depth began to appear negative after 2021, with the maximum value decreasing by 1.79 m and the average value decreasing by 2.51 m. In the study area, the buried depth of groundwater will not change much in the future, but it will continue to decrease.

Prediction of the development trend of soil salinization

The long-term dynamic evolution of groundwater depth has a slow impact on the development trend of regional soil salinization and there is a logarithmic relationship between the growth rate of soil salt content and groundwater depth (Lian et al. 2022),
(12)
where y is the increase rate of the soil salt content indicated by %; x is the average groundwater depth in the current year and its unit is m.
In Figure 10, the groundwater depth values corresponding to each point of soil total salt content in 2021, 2026, and 2031 are read and the growth rate of soil salt content in the past 5 years can be obtained from the formula (12). Taking the soil content in 2016 as the initial known quantity, the soil salt content in 2021, 2026, and 2031 can be calculated. According to Wang's (2017) classification method of soil salinization degree in this irrigation area, the soil areas with different salinization degrees were extracted, and the future spatial distribution and area proportion of soil salinization degree in the study area were obtained, as shown in Figure 11 and Table 10.
Table 10

Proportion of soil area with different degrees of salinization from 2016 to 2031 (unit: %)

YearNon-alkali soilSaline–alkali soilMild saline–alkali soilMedium saline–alkali soilHeavy saline–alkali soilExtra-heavy saline–alkali soilSalt marsh
2016 26.212 33.212 39.395 1.181 
2021 26.246 34.557 29.438 9.175 0.586 
2026 25.911 30.722 25.547 15.498 2.322 
2031 25.576 26.011 27.812 16.726 3.875 
YearNon-alkali soilSaline–alkali soilMild saline–alkali soilMedium saline–alkali soilHeavy saline–alkali soilExtra-heavy saline–alkali soilSalt marsh
2016 26.212 33.212 39.395 1.181 
2021 26.246 34.557 29.438 9.175 0.586 
2026 25.911 30.722 25.547 15.498 2.322 
2031 25.576 26.011 27.812 16.726 3.875 
Figure 11

Spatial distribution of saline–alkali soil from 2016 to 2031.

Figure 11

Spatial distribution of saline–alkali soil from 2016 to 2031.

Close modal

In spatial distribution, the total salt content of the soil in the study area increased gradually from southwest to northeast. From 2016 to 2031, the area of non-alkali soil in the southwest will change little, the area of saline–alkali soil and mild saline–alkali soil will decrease by 18.78%, and the area of medium saline–alkali soil will increase continuously, reaching 16.73% by 2031. Combined with the groundwater depth distribution in Figure 10, after 2021, a small area of salt marsh will appear near the boundary between mild saline–alkali soil and medium saline–alkali soil, and the area of salt marsh will keep increasing. In the study area, only the minimum salt content of non-alkali soil has a decreasing trend, which will decrease to 0.008% by 2031. The average regional soil salt content will continue to increase, reaching 1.59% by 2031. The maximum salt content of medium saline–alkali soil can reach 4.72%. In the future, the salt content of regional soil will increase rapidly and the degree of salinization will be aggravated as a whole.

Groundwater numerical simulation process

In the process of groundwater level change prediction in a closed hydrogeological unit based on the Visual MODFLOW model, although the assumptions of the climate scenario and human activities change are not completely consistent with the actual situation, the prediction accuracy can meet the application requirements for the regional scale groundwater development trend research under the present conditions. The increase in prediction error in the validation period of the model may be related to the substantial increase in irrigation water quantity after the completion of the supplementary project in 2002. Although the irrigation water quota has not changed, the irrigation area and the total amount of irrigation have increased. Under special terrain conditions, the groundwater level rises due to irrigation infiltration, so both the measured value and the simulated value in the verification period show an increasing trend (Nian et al. 2014; Liu et al. 2015). With the influence of global climate change in the future, the climate scenario assumed by this model may increase its influence on the simulation results. With the completion of the first-phase project and the second-phase project of the irrigation area, the amount of water in the irrigation area increases, the irrigation area increases, and some areas of the first-phase project become the groundwater storage areas of the second-phase project (Xu et al. 2019). The rise of groundwater level, the increase of groundwater salinity and the increase of soil salinization in closed hydrogeological units will affect the parameters such as soil permeability coefficient and specific yield, and then affect the prediction accuracy of the model. This process is a complex process of mutual feedback coupling and its influence on prediction accuracy needs further study.

Groundwater level migration trend of closed hydrogeological unit

The prediction results of groundwater level in the study area show that there is no significant change of groundwater level in the future, but the overall trend is gradually decreasing. The western region is at a high altitude and after the irrigation water is infiltrated, it moves to the eastern region, and the groundwater depth remains at a large depth. With the continuous convergence of groundwater in Caowotan Basin in the north and Luyang Basin in the east, the buried depth of groundwater increases slowly, groundwater overflows in some areas, and the area is expanding to the surrounding areas.

In order to further clarify the distribution of groundwater depth in a long period of time, according to the monitoring data of groundwater depth, the spatial distribution maps of groundwater depth in 2001, 2006, and 2011 were drawn, as shown in Figure 12. Compared with Figure 10, from 2001 to 2031, the area with groundwater depth greater than 25 m gradually disappeared, while the area with groundwater depth less than 5 m gradually increased. The groundwater depth is decreasing as a whole, and its changing process is slow and continuous. Influenced by the closed hydrogeological unit, groundwater can't be fully discharged, and it gathers in the basin area within the region. The reduction of groundwater depth is affected by irrigation infiltration. Although the process is slow, the long-term development trend is still worthy of attention (Liu et al. 2021).
Figure 12

Spatial interpolation diagram of groundwater buried depth from 2001 to 2011 (unit: m).

Figure 12

Spatial interpolation diagram of groundwater buried depth from 2001 to 2011 (unit: m).

Close modal
Through the change of groundwater level in the study area, it can be found that groundwater is mainly infiltrated by irrigation in the west, gradually moves eastward through the central region, and finally converges in the eastern and northern basins. In this closed hydrogeological unit, the movement of groundwater can be described as three key hydrological zones, as shown in Figure 13: from the periphery to the center of the basin, an irrigation infiltration zone characterized by ‘infiltration leading and salt moving with water’ is formed in turn; a solute transport zone characterized by ‘changeable water quantity and sluggish transport’; water-collecting and salt-accumulating belt characterized by ‘evaporation leading, water dispersing and salt-accumulating’. In the long-term irrigation process in the irrigation area, water resources from outside the irrigation area are infiltrated through irrigation infiltration. However, due to the high terrain, the infiltration water migrates to the lower part, the change range of groundwater depth in the irrigation infiltration zone is relatively small, and the salt in the shallow soil migrates to the deeper part with irrigation infiltration (Mao et al. 2020). The solute migration zone is the channel area of groundwater movement and groundwater and groundwater salinity fluctuate with the irrigation cycle. With the occurrence of water–heat exchange and water–salt migration in the water-gathering and salt-accumulating zone, ground (water surface) evapotranspiration is the main way to reduce groundwater (Hou et al. 2020). With the continuous migration and convergence of groundwater, the buried depth of groundwater continues to decrease, and the salinity of groundwater continues to increase, which leads to the evolution of secondary salinization in this area.
Figure 13

Groundwater movement diagram of the closed hydrogeological unit.

Figure 13

Groundwater movement diagram of the closed hydrogeological unit.

Close modal

Groundwater movement and soil salinization evolution

To clarify the long-term evolution trend of soil salinization in the region, according to the soil salinization data, the spatial distribution maps of soil salinization degree in the study area in 2001, 2006, and 2011 were drawn, as shown in Figure 14. Compared with Figure 11, from 2001 to 2031, there was no obvious change in the area of non-alkali soil, but the degree of soil salinization showed an increasing trend, and the overall development trend was stepwise increasing from the southwest to the northeast. Saline–alkali soil in the region has evolved into mild saline–alkali soil, and mild saline–alkali soil has evolved into medium saline–alkali soil. Compared with Figures 1012 and 14, it can be seen that the spatial distribution of salinization in the study area is closely related to the buried depth of groundwater. The salinization degree is lower in the area with a larger buried depth of groundwater, and the soil salinization is more serious in the area with a shallow buried depth of groundwater, especially in the area with less than 5 m buried depth of groundwater.
Figure 14

Spatial distribution of saline–alkali soil from 2001 to 2011.

Figure 14

Spatial distribution of saline–alkali soil from 2001 to 2011.

Close modal

According to the groundwater migration situation of the closed hydrogeological units, the rise of the groundwater level is objectively affected by topography and climate conditions. Under the action of long-term surface irrigation, surface water infiltrates into groundwater, and the groundwater in the irrigation area gradually moves and concentrates under the action of basin convergence. In this process, soil salinity varies with the movement of groundwater, and the basin becomes the natural storage area of groundwater and salinity in the closed hydrogeological unit of the irrigation area (Wang et al. 2020). Under the action of strong evaporation, salt in soil and groundwater accumulates with the evaporation of water, which leads to salinization in irrigation areas. The rise of groundwater levels is subjectively influenced by the long-term unreasonable irrigation behavior of human beings. Long-term water-lifting irrigation and unreasonable irrigation methods cause excess water resources to overflow, and cause groundwater to rise as a whole (Gao et al. 2015; Wen et al. 2020). Especially in closed hydrogeological units, the groundwater lacks drainage channels, and the drainage in irrigation areas is not smooth, which leads to the continuous rise of groundwater level and aggravation of soil salinization.

In this study, by constructing a three-dimensional groundwater simulation model, the future groundwater level of closed hydrogeological units in arid irrigation areas was simulated and predicted. Under the existing meteorological and human activities, by 2031, the groundwater level in the study area will rise as a whole, especially in the eastern and northern basins. The development trend of groundwater level in the next 10 years is consistent with the overall pattern of the past 20 years. In the study area, the degree of soil salinization is increasing, the soil is changing from mild saline–alkali soil to medium saline–alkali soil, and salt marshes may appear. Three key hydrological zones, namely, ‘irrigation infiltration’, ‘solute transport’ and ‘water collection and salt accumulation’, are formed in the closed hydrogeological unit. Under long-term irrigation, groundwater moves slowly in three hydrological zones, which leads to the continuous rise of groundwater level in the ‘water-collecting and salt-accumulating zone’, and leads to soil and water environmental problems such as soil salinization. The movement trend of groundwater is objectively influenced by topographic and climatic conditions, and subjectively by long-term unreasonable irrigation and drainage activities. Developing new water-saving irrigation methods, rationally formulating irrigation systems, and unblocking groundwater discharge channels are effective ways to control the sustained growth of groundwater in closed hydrogeological units in arid irrigation areas.

The study was supported by the National Key Research and Development Program of China (2021YFC3201205, 2019YFC1904303, 2021YFC3201202), the National Natural Science Foundation of China (51579102), the Zhongyuan Science and Technology Innovation Leading Talent Support Program of Henan, China (204200510048), and the Key Technologies R&D and Promotion Program of Henan Province (212102310273).

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

The authors declare there is no conflict.

Bradford
R. B.
&
Acreman
M. C.
2003
Applying MODFLOW to wet grassland in-field habitats: a case study from the Pevensey Levels, UK
.
Hydrology and Earth System Sciences
7
(
1
),
43
55
.
Chen
S.
,
Yang
W.
,
Huo
Z.
&
Huang
G.
2016
Groundwater simulation for efficient water resources management in Zhangye oasis, northwest China
.
Environmental Earth Sciences
75
(
8
),
647
.
Cheng
G.
,
Li
X.
,
Zhao
W.
,
Xu
Z.
,
Feng
Q.
,
Xiao
S.
&
Xiao
H.
2014
Integrated study of the water-ecosystem-economy in the Heihe River Basin
.
National Science Review
1
(
3
),
413
428
.
Gao
X.
,
Huo
Z.
,
Bai
Y.
,
Feng
S.
,
Huang
G.
,
Shi
H.
&
Qu
Z.
2015
Soil salt and groundwater change in flood irrigation field and uncultivated land: a case study based on 4-year field observations
.
Environmental Earth Sciences
73
(
5
),
2127
2139
.
Liu
Z.
,
Xu
Y.
,
Zhu
X.
,
Huang
S.
,
Li
Z.
&
Li
X.
2021
Evolution analysis of land resources carrying state in arid pumping irrigation area
.
Acta Scientiae Circumstantiae
41
(
12
),
5200
5208
.
Maheswaran
R.
,
Khosa
R.
,
Gosain
A. K.
,
Lahari
S.
,
Sinha
S. K.
,
Chahar
B. R.
&
Dhanya
C.T.
2016
Regional scale groundwater modelling study for Ganga River Basin
.
Journal of Hydrology
541
,
727
741
.
Mao
W.
,
Yang
J.
,
Zhu
Y.
&
Wu
J.
2018
Soil salinity process of Hetao Irrigation District after application of well-canal conjunctive irrigation and mulched drip irrigation
.
Transactions of the Chinese Society of Agricultural Engineering
34
(
1
),
93
101
.
Ren
D.
,
Wei
B.
,
Xu
X.
,
Engel
B.
,
Li
G.
,
Huang
Q.
,
Xiong
Y.
&
Huang
G.
2019
Analyzing spatiotemporal characteristics of soil salinity in arid irrigated agro-ecosystems using integrated approaches
.
Geoderma
356
,
113935
.
Scanlon
B. R.
,
Faunt
C. C.
,
Longuevergne
L.
,
Reedy
R. C.
,
Alley
W. M.
,
McGuire
V. L.
&
McMahon
P. B.
2012
Groundwater depletion and sustainability of irrigation in the US High Plains and Central Valley
.
Proceedings of the National Academy of Sciences of the United States of America
109
(
24
),
9320
9325
.
Sundararajan
N.
&
Sankaran
S.
2020
Groundwater modeling of Musi Basin Hyderabad, India: a case study
.
Applied Water Science
10
(
1
),
14
.
Syed
N. S. B.
,
Zhao
S.
,
Babar
M. M.
&
Soothar
R. K.
2021
Analysis of conveyance losses from tertiary irrigation network
.
Civil Engineering Journal
7
(
10
),
1731
1740
.
Varouchakis
E. A.
,
Karatzas
G. P.
&
Giannopoulos
G. P.
2015
Impact of irrigation scenarios and precipitation projections on the groundwater resources of Viannos Basin at the island of Crete, Greece
.
Environmental Earth Sciences
73
(
11
),
7359
7374
.
Wang
R.
2017
Study of the Characteristics of Soil Salinization and Law of Water-Salt Transport in JingDian Irrigation District
.
North China University of Water Resources and Electric Power
,
Zhengzhou
, pp.
12
13
.
Wayangkau
I. H.
,
Mekiuw
Y.
,
Rachmat
R.
,
Suwarjono
S.
&
Hariyanto
H.
2021
Utilization of IoT for soil moisture and temperature monitoring system for onion growth
.
Emerging Science Journal
4
(
SI
),
1102
1115
.
Wu
B.
,
Zheng
Y.
,
Tian
Y.
,
Wu
X.
,
Yao
Y.
,
Han
F.
,
Liu
J.
&
Zheng
C.
2014
Systematic assessment of the uncertainty in integrated surface water-groundwater modeling based on the probabilistic collocation method
.
Water Resources Research
50
(
7
),
5848
5865
.
Wu
J.
,
Yang
Y.
,
Zhu
Y.
,
Yu
L.
,
Yang
W.
&
Yang
J.
2018
Simulation and prediction of groundwater considering seasonal freezing-thawing in irrigation area with conjunctive use of groundwater and surface water
.
Transactions of the Chinese Society of Agricultural Engineering
34
(
18
),
168
178
.
Xie
Z.
,
Di
Z.
,
Luo
Z.
&
Ma
Q.
2012
A quasi-three-dimensional variably saturated groundwater flow model for climate modeling
.
Journal of Hydrometeorology.
13
(
1
),
27
46
.
Xu
C.
,
Wang
R.
,
Cheng
H.
,
Lian
H.
,
Gong
X.
,
Liu
L.
&
Wang
Y.
2019
Spatial-temporal distribution of water and salt in artificial oasis irrigation area in arid area based on remote sensing analysis
.
Transactions of the Chinese Society of Agricultural Engineering
35
(
2
),
80
89
.
Xue
J.
,
Huo
Z.
,
Wang
S.
,
Wang
C.
,
White
I.
,
Kisekka
I.
,
Sheng
Z.
,
Huang
G.
&
Xu
X.
2020
A novel regional irrigation water productivity model coupling irrigation- and drainage-driven soil hydrology and salinity dynamics and shallow groundwater movement in arid regions in China
.
Hydrology and Earth System Science
24
(
5
),
2399
2418
.
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