Keywords

1 Introduction

Patna urban settlement is situated in a vast Indo-Gangetic plain and on the river Ganges bank (Figs. 9.1 and 9.2). Being on the bank of a huge perineal river, even then, the water supply to Patna UrbanArea (PUA) is met solely from groundwater. It is mostly due to a cost-benefit analysis between surface and groundwater. The Patna Municipal Corporation (PMC), responsible for the drinking water supply, made 110 high-yielding deep tube wells in different localities within the PUA  limit. These tube wells are in a depth range of 150–200 m below ground level. The pumping rate of these well is in between 4000 and 8000 m3/day, except a few are abstracting in between 3000 and 4000 m3/day. About 418,000 m3/day of water is required to provide drinking water to an estimated population of 2.48 million in the municipal area of the city. To meet the demand, the municipal corporation is approximately abstracting 698,000 m3/day of groundwater through 110 deep high-yielding tube wells in different municipal wards. In 2001, there were 77 operational tube wells, which could abstract a total of 141,000 m3/day of groundwater against a water demand of 215,240 m3/day (Table 9.1). Besides, individual residential houses and multistoried apartments are also abstracting groundwater from shallow as well as deep aquifers to meet the water demand for drinking and domestic water. This is additional unaccounted stress to the aquifer system. Patna urban development plan indicates there will be a need to construct additional 43 new tube wells to meet the projected urban population by 2038 (BRJP, 2003), apart from the existing 77 tube wells in 2001. To be more conservative in estimation, taking minimum efficiency of pumping tube wells, the annual withdrawal of groundwater comes to be 56.10 × 106 m3/year. There are approximately 1700 apartments in the PUA. Most of the apartments are operating a 5HP submersible pump, which pumps water at a rate of 200 m3/day. The total conservative withdrawal from the deep aquifer comes around 68.51 × 106 m3/year, which is higher than the annual replacement of the deep aquifer. So, it may be concluded that pumping is currently being done beyond the sustainable limit.

Fig. 9.1
A map of urban Patna depicts the cities, important roadways, and waterways.

Google Map of the study area – an extent of model boundary for Patna urban

Fig. 9.2
A map of urban Patna. The secretariat area is in the west, the river Ganges and Diara land are along the north, and agricultural lands are along the south.

IRS-1D satellite data of Patna urban area and river Ganges (2000)

Table 9.1 Patna urban water demand

The hydraulic head of the deep aquifer has a declining trend, whereas the water table in the phreatic aquifer has an increasing trend in PUA (Maitra & Ghose, 1992; CGWB, 2000, 2007, 2015, 2016). The historical data on groundwater level indicates a 1 m decline in the hydraulic head of the deep aquifer between 1990 and 2000. The shallow low-yielding aquifer is already in stressful conditions, and now private tube wells are targeting the deep aquifer from where the municipal corporation is making bulk groundwater supply. This provides an opportunity to study the temporal and spatial behavior of aquifers with the projected groundwater abstraction. The aquifer geometry, dynamic and static storage, interconnection with other hydrological systems, and its spatial and temporal variation require to be understood for its sustainable utilization and development of a long-term management plan for the deep aquifer.

1.1 Study Area

Patna town is situated on the bank of the Ganga river, which is the largest river in India. The study area is the urban limit of Patna town, and this study considers a 210 km2 geographical area. The study area is located between latitude 25°30′–25°40′ and latitude 85°–85°20′. The old town is located along the natural levee of the river, whereas the new town is spread over the depressional area just after the natural levee, which is mainly in the eastern part of the town (Fig. 9.2). In topographic elevation within PUA is varying between 45 and 60 m MSL. The western town is at higher elevation and traces of paleochannel of Son River have also been observed. In general, depressional area elevation is about 50–55 m MSL, whereas natural levee elevation ranges between 60 and 65 m MSL. The southwestern has a higher elevation, and the maximum elevation is within the 65 m MSL.

1.2 River Bank Morphology

There is a narrow linear stretch of natural levee that exists all along the river bank in the mid part to eastern part and followed by backside depression land (Fig. 9.3). Natural levee runs all along the river bank, with the eastern side being at a higher elevation which gradually merges with normal ground elevation in the western part. There is a sharp drop in elevation between the river bank and ground where the natural levee gradually ends on the western side and reaches normal ground elevation.

Fig. 9.3
An illustration of a digital elevation model of urban Patna depicts the river channel, natural levee, and depression.

Digital elevation model of landforms in Patna urban area along with the Ganga river

The change in elevation between ground and river bank is also gradual. The lateral flood plain of the river is very wide, and it is up 10 km, whereas the northern bank of the river is stable. The river main flow channel is very dynamic, and it changes every year during the flood period. The river reaches at the high stage during the monsoon period and remains at the lowest stage during summer. The river water level fluctuates between 42 m MSL to 48 m MSL. The flat and wide, low-lying flood plain of the river is likely to act as a recharge area for the shallow as well as deeper aquifers. The river main channel has a very significant role in controlling and inflow and outflow of the aquifer system near PAU. The shifting of the river channel away from the historical southern bank is likely to affect the groundwater sustainability of the aquifer system both in terms of availability and quality. In the year 2000, the river’s main course was away from the historical river bank in the western part (Fig. 9.4), which gradually shifted further north in 2010 (Fig. 9.5). However, the river’s main course remained unchanged in the eastern parts. Now in the period of 2019–2021 the river main course will be reached closer to the historical river bank (Fig. 9.6). This dynamic behavior of the main river course, which is unpredictable has a direct impact on the groundwater system of PUA and creates uncertainty in the groundwater recharging capacity of the river.

Fig. 9.4
A map with an aerial view of urban Patna depicts the Ganga's active course, as well as the abandoned area and the river's high flood course.

Ganga river main course during January 2000 (lean period) based on satellite data

Fig. 9.5
A map with an aerial view of urban Patna depicts the Ganga's active course, as well as the abandoned area and the river's high flood course.

Ganga river main course during February 2010 (lean period) based on satellite data

Fig. 9.6
A map with an aerial view of urban Patna depicts the Ganga's active course, as well as the abandoned area and the river's high flood course.

Ganga river main course during February 2019 (lean period) based on satellite data

1.3 Hydrogeology

The PUA is a part of the vast Gangetic plain. The alluvial deposit near Patna has been derived from the transportation of the Himalaya and Chota Nagpur Plateau sediments. The basement depth near Patna is more than 1000 m (Bose et al., 1966). Both the sediments have different hydro-geophysical characteristics (Ashok Kumar & Thambidurai, 2022). It has also been observed that the river Ganges was the dividing line for the sediments brought from the Chota Nagpur plateau and Himalaya. There is the presence of alternate layers of sand and clay (Fig. 9.7).

Fig. 9.7
An illustration of the multilayer aquifer system of Punaichak well 74, water board well 56, I T building well 67, Fraser road well 61, and Exhibition road well 61.

Fence diagram of multilayer aquifer system in the urban area of Patna

Broadly, three aquifers are packaged beneath the PUA (Fig. 9.7). The top aquifer is mainly a fluvial deposit dominated by clayey on the back side of the natural levee. The second aquifer, which dominantly consists of fine-grained sand, is beneath the first layer but has reached the ground surface on the western side. The thickness second aquifer is variable over the PUA. There is also a well-defined paleochannel of the river Son, which occupies comparatively high ground level and is a part of the second layer. However, its surface exposure is limited. This acts as a recharge area to the middle-level aquifer and, at the same time, due to its high transmissivity, may pose a risk for contaminant migration to the middle aquifer. The third aquifer is below the second aquifer, separated by a 30- to 50-m-thick clay layer. The upper portion of the third aquifer consists of medium sand and gradually changes to gravel and pebbles in depth. The third aquifer is very thick and widespread. This aquifer serves as the principal aquifer for the Patna urban water supply. The water table data for 1985 (Fig. 9.8) depicts regional groundwater flow patterns. But rapid urbanization after 1985 has resulted in a change in flow patterns. The water level of the unconfined aquifer has a rising trend (BRJP, 2003). This is mainly due to increased recharge from urban drainage and soaks pits. The hydraulic head of the deep aquifer has decreasing trend due to the high abstraction of urban water supply. The hydraulic head (Fig. 9.9) of the third aquifer varies between 41 and 45 m MSL. The higher head value is in the upper reaches compared to the head value near the river. In the deep aquifer (third aquifer), the dominant flow direction of groundwater is from SW to NE direction.

Fig. 9.8
An illustration of the regional groundwater flow patterns. In the southwest and along the Ganga River, the value of contours is high and low, respectively.

Hydraulic head of unconfined aquifer (layer-1) in 1985

Fig. 9.9
An illustration of the regional groundwater flow patterns. In the southwest and along the Ganga River, the value of contours is high and low, respectively.

Hydraulic head of confined aquifer (layer-4) in 1985

The unconfined aquifer has been less explored in the earlier scientific study, and very limited data is available on aquifer parameters. The present study has been characterized based on available published information (Maitra & Ghose, 1992). The third aquifer (confined) has been explored in detail by the CGWB (1981, 1996, 2000). It has been observed that the transmissivity value of the aquifer varies from 3500 to 17,000 m3/day. The storage coefficient varies from 0.005 to 0.0001 (Table 9.2).

Table 9.2 Transmissivity of the deep aquifer (layer-4) at different location in PUA

1.4 Groundwater Recharge Potential

Presently 210 km2 area of PUA is under consideration, and the average annual rainfall is 996 mm in the area. However, the mid-eastern parts of PAU are dominated by a thick clayey layer, and it is expected that recharge to lower aquifer is likely to be limited in this area, whereas the western parts have better groundwater recharge prospects both due to comparatively better hydraulic characteristics of the unconfined aquifer. The historical data has indicated that the average seasonal variation in the third (confined) aquifer is approximately 1.5 m in groundwater level. The recharge to the groundwater system has been estimated, assuming rainfall infiltration as 15% and specific yield as 0.10. The annual increment in groundwater has been computed on the basis of seasonal variation of water level as well as rainfall infiltration factor. The annual groundwater increment on the basis of the rainfall infiltration method is 31.50 × 106 m3/year, whereas the methodology based on specific yield and seasonal rise in water is 78.50 × 106 m3/year. This difference between the two methodologies indicates that seasonal rise in water level of deep aquifers is not only governed by rainfall recharge from the top surface, but recharge from Ganga river and inflow from surrounding parts of the aquifer also contribute. This estimate requires a better understanding of the entire groundwater system in the PUA. The numerical groundwater model is one of the better tools to visualize the entire groundwater system and forecast the long-term behavior of the groundwater system with current and projected stresses to the entire groundwater system.

2 Numerical Groundwater Model

The numerical groundwater flow model has been developed using MODFLOW 2005 package with available data. The deep tube wells drilled by the BRJP (2003) has provided vital information about the aquifer property. Earlier studies carried out by Chatterjee and Garrett (1953), Nath (1981), Pandey et al. (1982), Maitra and Ghose (1992), Nath and Tripathy (1996), and BRJP (2003) have provided historical data. Data on temporal and spatial variations in the hydraulic head of the third aquifer was limited, and it has been generalized over a large area. Therefore, the developed groundwater model is based on various assumptions or generalizations. The model has been tested for 10 years by considering monthly stresses to the aquifers. This has been done mainly to observe the influence of the Ganga river stage on the aquifer behavior.

2.1 Aquifer Geometry

Based on the available lithologs, aquifer geometry has been conceptualized. It has been found that it is more appropriate to consider four layers aquifer system to reasonably apply the stresses to different layers (Figs. 9.10 and 9.11).

Fig. 9.10
An illustration of the conceptualized geometry of urban Patna. The Sone River Paleo Channel is in the SouthWest.

Conceptual layer geometry within Patna urban settlement in modelling environment

Fig. 9.11
The 3 D layer geometry of urban Patna depicts an elevated area, the Ganga river, the backside depression, and the natural levee.

3D visualization of layer geometry within Patna urban settlement in modelling environment

2.2 Hydraulic Properties

The lithological evidence indicates each layer is not completely isolated from the others. It has some interconnection between them in many places. Therefore, the hydraulic properties of each layer have been subdivided into different zones to take care of the spatial variation in aquifer property (Table 9.3).

Table 9.3 Model parameter for aquifer system of Patna urban area

2.2.1 Initial Head

The initial head has been derived from the historical data and its trend. Based on the trend of the long-term hydraulic head of different layers, the historical water level of 1985 has been extrapolated up to 2003. The interpolated head has been further smoothed by running the model in steady state conditions (Figs. 9.12 and 9.13). The transient head of the middle aquifer (layer-2) and lower aquifer (layer-4) shows the cone of depressions in the pumping well area (Fig. 9.14). The historical data indicates that the upper unconfined aquifer (layer-1) and deep confined aquifer (layer-4) have a different hydraulic head. The upper aquifer (layer-1) has a higher hydraulic head and is more uniform than the lower aquifer (layer-4). This is mainly due to the upper aquifer’s negligible utilization of the upper aquifer, whereas the lower confined aquifer is being heavily utilized for town water supply as well as for individual households for drinking and domestic water needs.

Fig. 9.12
The map of urban Patna depicts the time variant specified head boundary in the central region and river boundary head dependent flux in the Ganga river.

Model of initial steady state hydraulic head (2003) of layer # 1 (unconfined aquifer)

Fig. 9.13
The map of urban Patna depicts the time variant specified head boundary in the central region. They have a value of around 42.

Model of initial steady state hydraulic head (2003) of layer # 4 (confined aquifer)

Fig. 9.14
Three illustrations of unconfined, semi confined, and confined aquifers. The unconfined aquifer depicts a paleo channel, while other aquifers depict wells.

Model Transient hydraulic initial heads of different aquifers

2.2.2 Model Boundary Conditions

The considerable part of the eastern side of PUA is located on the back side depression of the natural levee. Many permanent water bodies/waterlogged area exist. Similarly, a water-filled paleochannel of Son River is present. These water bodies have been treated as time-variant specified head boundaries in the development of the model (Figs. 9.12 and 9.13). The vast stretch of the Ganga river has been treated as a head-dependent flux boundary in the development of the model (Figs. 9.12 and 9.13). This model boundary varies with monthly river flow stages.

2.3 Model Simulation

Aquifer behavior has been simulated for 10 years (Figs. 9.15 and 9.16) with projected population growth and urban water need. The model has been simulated on a monthly stress period mainly to understand the impact of fluctuating river flow stages of the Ganga river. The model has been calibrated with the initial observed value, and it has been used for long-term prediction (Fig. 9.17). The 10 years of simulation has been found reasonable to understand the river and aquifer interactions as well as long-term aquifer behavior of the upper and lower aquifer (layer-1 and layer-4) under different external stresses. This has helped to predict the likely impact on the aquifer due to the heavy utilization of the lower aquifer to meet the drinking and domestic water demand of the entire Patna urban population.

Fig. 9.15
A map of urban Patna depicts the head of the upper aquifer. The central region has higher values, while the periphery has lower values.

Simulated head of the upper aquifer (layer-1) at the end of 10th year

Fig. 9.16
A map of urban Patna depicts the head of the deep aquifer. Lower values are found in the center, while higher values are found on the left and right sides.

Simulated head of the deep aquifer (layer-4) at the end of 10th year

Fig. 9.17
A line graph for computed and head 00 c versus observed. It plots a diagonal line with data points prominent in the center.

Observed and computed head plot showing model calibration

3 Results and Discussion

The simulated results of the 10-year period with a stress period length of 1 month have indicated that the water table in some parts of the upper aquifer (unconfined) has a rising trend (Fig. 9.19). This may be due to negligible utilization of groundwater from this aquifer, and water logging has increased with time due to drainage congestion. Leaking soak pits and underground drainage systems are another source of recharge to the upper aquifer. The model simulation has indicated a 4.5–5.5 m decline in the hydraulic head during 10 years in the central area close to the river bank (Fig. 9.18). This area is part of the densely populated old part of town and a greater number of closely spaced high discharge tube wells operate in the area to meet the water demand of the urban population. It has also been observed that there will be an overall drop of more than 3 m in the hydraulic head within the entire PUA. It is likely to be a 0.3 m/year drop in the hydraulic head. The interfering cone of depressions of individual large volume pumping wells is now in the lower (confined) aquifer which has created a large cone of depression in the central part of the urban area. The hydraulic head of the lower (confined) aquifer near Patna maintains the level of river Ganga river in the north and Purpun river in the east and south, and observed seasonal fluctuation in the hydraulic head is due to direct or indirect interconnection between river and aquifer.

Fig. 9.18
A map of urban Patna depicts the drawdown of the deep aquifer. Higher values are in the central north, while lower values are on the left and right sides.

Simulated drawdown of the deep aquifer (layer-4) at the end of 10th year

The model simulation has also indicated that the aquifer system of PUA is actively connected with the Ganga river and the river stages control the hydraulic head with time (Figs. 9.19 and 9.20). Its effects are more visible in the upper aquifer (Fig. 9.19). During the peak summer, the hydraulic head is about 43 m MSL near the river, whereas the river stage during this period remains at a level of 42 m MSL. During this period, aquifer outflow comes to the river. But during the peak flood period, i.e., the river at the highest flow stage (47 m MSL) situation reverses, river flow contributes to the near bank parts of the aquifers, and a rise in the hydraulic head has been overserved during this period. As the river flow stage decreases, the hydraulic head also starts declining. The effect of the river stage on the hydraulic head of the upper aquifer is visible up to 200–500 m inward from the river bank. The impact on the hydraulic head due to time-varying river stages is not visible in the lower (confined) aquifer (Fig. 9.20). But it cannot be concluded that there is no impact of river stage on the lower (confined) aquifer mainly because depletion in hydraulic head heavy pumping dominates and the aquifer has a continuous declining trend. Also, inflow from river to lower (confined) aquifer is relatively less than the rate of continuous constant outflow from aquifer, i.e., abstraction. This understanding is based on the flow water budget of the model (Fig. 9.21).

Fig. 9.19
Three maps of the hydraulic head of the upper aquifer. The contour values are high in the southwest and low along the Ganga river.

Simulated hydraulic head of upper (unconfined) aquifer at different river stages

Fig. 9.20
Three maps of the hydraulic head of the lower aquifer. The dots are prominent along the Ganga River bank in the central north.

Simulated hydraulic head of lower (confined) aquifer at different river stages

Fig. 9.21
Three bar graphs display the rates of different components. The top graph's total in value is 290016, the middle graph's value is 331590, and the bottom graph's value is 311678.

Flow budget components during different stress periods (SP) of the year

The river leakage to the aquifer system is about 116,000 m3/day at the end of the stress period 10, i.e., the end of September, which is also when the Ganga river flows at the highest stage. Once the river flow stage starts to decline, leakage from the river into the aquifer also starts to decline. At the end of December, situation gets reversed; aquifer system started contributing to the river. It has been found that outflow from the aquifer to the river will be 71,000 m2/day at the end of the stress period 13, i.e., the end of December, whereas river inflow to the aquifer will be negligible. The maximum inflow into the groundwater system surpasses the rainfall recharge to the aquifer system. Therefore, any long-term change in the river system in terms of flow volume and morphology will likely impact heavily on the groundwater system of PUA.

4 Conclusions

The conceptual model has helped to understand the temporal and spatial behavior of the unconfined and confined aquifers under natural and human-induced stress conditions. It has been observed that there is a continuous decline in hydraulic heads in the lower (confined) aquifer. The hydraulic head of the lower (confined) aquifer is likely to decline at the rate of 0.3 m/year. This indicates that large volume abstraction from the lower aquifer for the town water supply is not sustainable. Results also indicated that high-rate pumping by individual tube wells interferes with each other, and in the long run, a large composite cone of depression will be created within the central part of the urban area. The new well fields must be shifted outside the composite cone of depression to avoid further deepening and should be uniformly distributed over large areas. The overused confined aquifer cannot be replenished through artificial recharge due to the high hydraulic head of both the upper and lower aquifer. At the same time, the artificial recharge system likely creates a risk of aquifer contamination as recharged water will directly reach into the capture zone of operating tube wells. Engineering measures need to be adopted be to keep the water level of the upper aquifer below the ground level; otherwise, there will be risk of entering urban pollutants into the aquifer. The study has indicated a strong interaction between the Ganga river and the aquifer system inflow, and outflow from the aquifer is significant compared to the other components of inflow into the aquifer. It has been observed that the river morphology of the Ganga river has dynamic flow and drastic changes in the river course near Patna town, which is connected to the groundwater system. The vast low-lying flood plain is the main source of recharge to the aquifers, and it guides the seasonal fluctuation in the aquifer. Therefore, protection of flood plain from urbanization is one of the important aspects of avoiding long-term abrupt changes in aquifer behavior.