Introduction

River Yamuna originates from Yamunotri glacier in Himalayas and is the largest tributary of river Ganges in India. Along its entire traveling length of about 1380 km, it passes through many states such as Himachal Pradesh, Uttar Pradesh, Uttarakhand, Haryana and Delhi. Almost around 60 million people depend for their livelihood on this river. There has been a radical change in Yamuna River water quality as it enters Delhi from Wazirabad barrage and leaves at Okhla barrage which is attributed to the fact that untreated wastewater from 17 small and big sewer drains is discharged directly into the river besides the largest Najafgarh industrial drain. Rapid urbanization and encroachments all along the flood plains of the river are also one of the causes for widespread surface water eutrophication and severe deterioration of the water quality.

Monitoring water quality is recognized as the first step toward understanding the characteristics of water pollution and devising effective mitigation strategies. The quality of water is referred by its physical, biological and chemical compositions. Chemical composition includes the organic and inorganic substances such as heavy metals, pesticides, detergents and petroleum. The physical composition comprises turbidity, color and temperature, whereas the biological composition includes plankton and pigments (Allee and Johnson 1999). In addition, some of the parameters that define the criteria for healthy river water and being widely analyzed in the water quality-based studies include pH, turbidity, dissolved oxygen (DO), total suspended solids (TSS), total dissolved solids (TDS), turbidity, total hardness as CaCO3, biochemical oxygen demand (BOD), chemical oxygen demand (COD), calcium (Ca), magnesium (Mg), alkalinity, phosphate (PO4), sodium (Na), potassium (K), sulfate (SO4) and nitrate (NO3) to name a few. Monitoring and assessment of these water quality parameters require sampling from widely distributed locations, which is time-consuming and requires a lot of field and laboratory efforts to present statistical results (Shi et al. 2018; Nazeer and Nichol 2015; Singh et al. 2013; Duong 2012; Amandeep 2011; Kazi et al. 2009; Ekercin 2007; Icaga 2007; Wang et al. 2004; Silvert 1998; Pattiaratchi et al. 1994).

Traditionally, WQPs are obtained by procedural monitoring methods that involve extensive field sampling and costly laboratory analyses, which is time-consuming and can only be performed for relatively small areas (Song et al. 2012). Therefore, these limitations make traditional approaches difficult for overall and successive water quality forecasting at spatial scales (Chabuk et al. 2017; Panwar et al. 2015; Li et al. 2013). However, remote sensing in conjugation with geographic information system (GIS) provides better estimates and synoptic coverage of spatial distribution of pollution levels in rivers and water bodies at a relatively less field efforts and at a cheaper cost (Mishra and Patel 2001; Lindell et al. 1999; Dekker and Peters 1993). Optical remote sensing techniques are being widely used for monitoring water quality parameters such as turbidity, chlorophyll, temperature, suspended inorganic materials like sand, dust and clay, and dissolved organic matter (Allee and Johnson 1999; Fraser1998; Kondratyev et al. 1998; Pattiaratchi et al. 1994). Remote sensing satellite sensors quantify the measure of solar irradiance at varied wavelength bands reflected by the surface water, thereby providing spatial and temporal data that can be effectively employed in the analysis of variations in the surface water quality, requiring as precursor for adopting the strategies for sustainable management practices (Girgin et al. 2010; Dwivedi and Pathak 2007; Zhang et al. 2003; Ellis 1999; Fraser1998; Kondratyev et al. 1998; Chavez 1996; Pattiaratchi et al. 1994). The present study undertakes an attempt to monitor and map the spatial distribution of pollution levels corroborated by in situ samplings from selected locations along Yamuna River segment passing through Delhi while utilizing high-resolution GeoEye-2 imagery. WQPs were grouped into two classes in accordance with their chemical characteristics, and their sensitivity toward spectral reflectance band combinations was examined through MLR analysis. The study demonstrates a cost-effective methodology to monitor and map pollution levels in urban river segments as well as inland water bodies.

Study area

The present study covers a 22-km stretch of river Yamuna passing through Delhi, entering at Wazirabad barrage and leaving at Okhla barrage (Fig. 1), which is considered as an extremely polluted stretch of the entire river length. Delhi sprawls over 1483 sq km between latitude 28°34′N and a longitude of 77°07′E having an elevation of 213 m above the mean sea level and experiences heavy rains primarily during the monsoon season.

Fig. 1
figure 1

Location map of the study area (map not to scale)

The river segment passing through the Delhi corridor constitutes merely 2% of the entire river length and accounts for nearly 76% of the total pollution that the river carries. Maximum discharge of untreated water at the downstream of Wazirabad barrage from several domestic and industrial drains including the largest Najafgarh and Hindon drains pollutes the segment to the extreme levels, thus rendering it unfit for any purpose. Little contribution of clean water is also made in this segment through Surghat, where Ganga and Yamuna water is provided for bathing purposes. This river segment branches out the Agra Canal at Okhla barrage, for fulfilling irrigation requirements in the states of Haryana and Uttar Pradesh. The river segment receives very little freshwater flow from Wazirabad barrage or even no flow all year round except during the monsoon period extending from July to September, which thereby reducing the dilution capacity of the segment.

Materials and methods

Water samples were collected from the mid-stream at a depth of 0.5 m on January 25, 2016, from the four selected sampling stations, namely Wazirabad barrage, ITO barrage, Nizamuddin bridge and Okhla barrage, wherein from each sampling station 25 water samples were collected from random locations, amounting to a total of 100 water samples from all four stations (Fig. 2a). The sampling stations selected were identified as point sources from where a large number of industrial and domestic drains directly dispose toxic effluents at the upstream and downstream of the sampling stations. Sampling stations comprising barrage structures are also served as water abstracting junctions where a maximum concentration of pollutants is mainly observed. Grab sampling procedure was adopted for the analysis of various water quality parameters as recommended by standard methods of analysis (APHA 1999). Samples were tested for 12 WQPs, namely TSS, TDS, CaCO3, BOD, COD, Ca, Mg, chloride (Cl), ammonia (NH3), K, SO4 and NO3. WQPs were grouped in accordance with their chemical characteristics into two classes, namely (WQP)organic and (WQP)inorganic. Grouping of WQPs under the classes was followed as below:

Fig. 2
figure 2

a GeoEye-2 image of the study area depicting sampling locations marked with red dots. b Subset image of the study area

$$\begin{array}{*{20}l} {\text{(a)}} \hfill & {\quad \left( {\text{WQP}} \right)_{\text{organic}} \Rightarrow {\text{BOD, COD and TSS}}} \hfill \\ \end{array}$$
$$\begin{array}{*{20}l} {\text{(b)}} \hfill & {\quad \left( {\text{WQP}} \right)_{\text{inorganic}} \Rightarrow {\text{Cl, SO}}_{4} ,{\text{ NO}}_{3} ,{\text{ TDS}},{\text{ Ca, Mg, K, NH}}_{3} \;{\text{and}}\;{\text{CaCO}}_{3} } \hfill \\ \end{array}$$

GeoEye-2 satellite imagery of date January 25, 2016, concurrent to the water sampling date was employed in the study to monitor and map pollution levels within the 22-km river segment. GeoEye-2 is a US-based satellite that collects images at a ground resolution of 1.34 m in the multispectral mode. Subset image of the study area was created in Erdas Imagine 9.3 (Fig. 2b).

Digital numbers (DN) from the four spectral bands (i.e., red, green, blue and NIR bands) corresponding to the point sampling locations were extracted and transformed to radiance values and then to the reflectance values before they were subjected to the analysis and interpretation. Conversion of DN values to radiance values removes the voltage bias and gains from the satellite sensor as described in Eq. 1. The radiance values were further converted to satellite reflectance values using Eq. 2. This conversion takes into account the varying sun angle due to differences in latitude, season and time of day, and the variation in the distance between the Earth and Sun. The conversion of DN values to radiance values and finally to reflectance values corresponding to sampling locations was carried out using Eqs. 1 and 2, respectively, which is proposed by Chander and Markham (2003):

$$L_{\lambda } = {\text{ Gain}}_{\lambda } \times {\text{ DN}}_{\lambda } + {\text{ offset}}_{\lambda } ,$$
(1)

where λ is the specific spectral band of image, NIR, red, green, blue or panchromatic, Lλ is the spectral radiance for band λ at the sensor’s aperture (mW/cm2/µm/str), Gainλ is the radiometric calibration gain (mW/cm2/µm/str/DN) for band λ from product metadata, DNλ is the DN value for band λ of image product, and offsetλ is the radiometric calibration offset (mW/cm2/µm/str) for band λ obtained from product metadata.

$$\rho_{{P \,=\, \frac{{\pi *L_{\lambda } *d^{2} }}{{E_{\text{SUN}} *{\text{COS}}\theta_{S} }}}} ,$$
(2)

where ρP is the unit-less planetary reflectance, d is the Earth–Sun distance (astronomical units), ESUNλ is the mean solar exo-atmospheric spectral irradiances (mW/cm2/µm), at an Earth–Sun distance of 1 astronomical unit (A.U.), θs is the solar zenith angle, and Lλ is the spectral radiance for band λ at the sensor’s aperture (mW/cm2/µm/str). The Earth–Sun distance (d) in astronomical units (A.U.) is obtained from GeoEye-2 product manual. Correlations between four formulated WQP classes and reflectance values were explored for single bands as well as for several formulated band combinations. MLR analysis was performed using SPSS statistical software between single spectral bands as well as their combinations and WQP classes individually for evaluating and comparing the strength of correlation. The data set utilized in the analysis was combined for all four sampling stations that corresponded to a total of 100 samples of which 80 samples were utilized for calibration and the remaining 20 samples for validation purposes. Regression equations were formulated between the spectral band combinations exhibiting best correlation with WQP classes for the purpose of generating WQP maps in GIS framework.

Results and discussion

Water samples collected from four sampling stations were tested for 12 WQPs in the laboratory, and the descriptive statistics evaluated is summarized in Table 1. Water temperature along the river segment depicted relatively little fluctuations with values lying between 13 and 16 °C, on account of chilling winter day. The pH values of collected water samples ranged from 7.7 to 7.9, dwelling within the permissible range from 6 to 9 as prescribed by Central Pollution Control Board (CPCB), India. The abrupt increase in organic pollution content all along the river stretch downstream of Wazirabad barrage resulted in BOD levels lying far beyond the stipulated standards. Also, fluctuations in DO level from nil to well above saturation levels reflect the presence of organic pollution load and prevalence of eutrophic conditions (Tiwari and Shanmugam 2011). Altogether, 12 WQPs were found to be at the highest concentration levels exceeding the permissible limits far beyond as prescribed by CPCB throughout the river segment. Extremely high pollution level is mainly associated with domestic and industrial sewage water draining into the river at short distances, whereby voluminous water abstraction at the upstream of Wazirabad barrage significantly reduces the dilution capacity of the entire river segment.

Table 1 Range, mean and standard deviation of WQPs at sampling locations

Results of MLR analysis employed to examine the strength of association between the two formulated WQP classes and spectral reflectance band combinations in terms of R2 and RMSE values are presented in Table 2.

Table 2 Coefficient of determination R2 and RMSEs for spectral bands and their combinations for calibration data set

MLR analysis exhibits weak correlation for all band combinations as illustrated in Table 2, except for \(\left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\}\), yielding R = 0.92 and 0.91 (R2 ~ 0.85 and 0.82; RMSE ~ 1.03 and 1.12) for calibration data and 0.85 and 0.84 (i.e., R2 ~ 0.74 and 0.72; RMSE ~ 1.45 and 1.64) for validation data at 95% confidence level, respectively. Regression coefficients for spectral band combination \(\left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\}\) with the two formulated WQP classes are provided in Table 3.

Table 3 Multiple linear regression coefficients and R2 values for \(\left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\}\). Band combination with combined data of all sampling locations

Utilizing regression coefficients obtained from MLR analysis provided in Table 3, numeric values of each WQP class [i.e., (WQP)organic and (WQP)inorganic] were computed for carrying out simple regression with \(\left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\}\) to obtain linear equations used for generating WQP maps in GIS framework. The regression equations obtained are provided below (i.e., Eqs. 3 and 4), and scatter plots are drawn as shown in Fig. 3a–d.

Fig. 3
figure 3

Scatter plots of \(\left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\}\) with WQP classes a calibration data (WQP)organic b validation data (WQP)organic c calibration data (WQP)inorganic d validation data (WQP)inorganic

$$\begin{array}{*{20}l} {\text{(a)}} \hfill & {\quad \left( {\text{WQP}} \right)_{\text{organic}} = \, 1.264 \, \times \left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\} - \, 0.04371} \hfill \\ \end{array}$$
(3)
$$\begin{array}{*{20}l} {\text{(b)}} \hfill & {\quad \left( {\text{WQP}} \right)_{\text{inorganic}} = \, 1.483 \, \times \left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\}} \hfill \\ \end{array} - \, 0.03776.$$
(4)

WQP maps (Fig. 4) clearly demonstrate the pollution levels of WQPs in terms of organic and inorganic to be far beyond the permissible limits prescribed by CPCB throughout the entire length of the river segment. At some distance downstream of Wazirabad barrage, water quality reflected in the maps reveals low or minimum pollution levels due to the fact that there are no point or nonpoint sources of wastewater discharging into the river and is testified with the light color tones in WQP maps. Barely 500 m downstream of Wazirabad barrage, Najafgarh drain joins the river stream, thereby causing abnormally high pollution concentrations owing to the heavy release of industrial effluents as well as domestic sewage, which is also considered as a starting point of river contamination. Moving downstream of Najafgarh drain, pollution level increases extremely far beyond the permissible limits because many more major sewer drains (approx. 25 drains) are discharged directly into the river as evidenced by darker color tones along the entire river reach in the WQP maps. The above observation can also be attributed to the fact that the point sampling and analysis were carried out during the winter season (i.e., January 25, 2016), wherein pollutant concentrations are at the highest levels due to negligibly low river flows.

Fig. 4
figure 4

WQP maps of the study area: a (WQP)organic and b (WQP)inorganic

Conclusions

The present study utilizes high-resolution GeoEye-2 imagery for monitoring and mapping pollution levels within 22-km Yamuna River segment passing through the Delhi City. A total of 100 water samples collected were tested for 12 WQPs that were grouped into two broad classes, namely (WQP)organic and (WQP)inorganic. Several spectral band combinations as well as single bands were examined for any positive or negative correlation with the two formulated WQP classes through MLR analysis. Results revealed that band combination, i.e., \(\left\{ {\overline{{\left( {RGB} \right)}} \times \sqrt {B/R} } \right\},\) exhibited strong correlation with both the WQP classes as compared to the rest of band combinations, i.e., R = 0.92 and 0.91 for calibration data and 0.85 and 0.84 for validation data, respectively. WQP maps apparently testify the lowest pollution levels in terms of all WQPs at Wazirabad sampling station as depicted by the light color tones and high pollutant concentration all along the river segment as exhibited by the darker tones. The study, however, demonstrates the potential of GeoEye-2 imagery for monitoring and mapping pollution levels in the water bodies that may find its usefulness for sustainable planning and management of surface water resources. The pollution level map of the river segment prepared by employing the proposed methodology can be applied to all surface water bodies; however, temporal variation in pollution levels during pre- and post-monsoon seasons can be addressed in future studies so as to formulate appropriate measures for rejuvenating the dead river segment.