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【环境科学与工程】基于Pearson相关性分析的曼萨加尔湖水质参数趋势研究:物理化学参数评估与水体质量指数计算
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内容概要:本文详细研究了印度斋浦尔市曼萨加尔湖(Mansagar Lake)的水质状况,重点评估了其物理化学参数的变化趋势及其相互关系。研究选取了11个样本采集站,分别在雨季前后进行了采样与分析。通过对pH值、电导率、浊度、溶解氧(DO)、化学需氧量(COD)、生化需氧量(BOD)、总有机碳(TOC)和氯化物等关键参数的测量,结合Pearson相关性分析,探讨了这些参数之间的关联性。研究发现,曼萨加尔湖的水质受到城市化进程、农业活动和游客活动的影响,特别是在雨季后,污染物浓度显著增加。水质量指数(WQI)表明,该湖的水质属于较差到极差水平,不适合饮用或作为饮用水源。研究还揭示了pH值与BOD、浊度等参数存在较强的负相关关系,而浊度与氯化物则呈现强正相关。 适合人群:环境科学与工程领域的研究人员、政府环保部门工作人员、城市规划师以及对水资源管理感兴趣的读者。 使用场景及目标:①评估湖泊水质状况,识别主要污染源;②为制定科学合理的湖泊管理和修复计划提供数据支持;③通过WQI和Pearson相关性分析,为其他类似水体的研究提供参考方法。 其他说明:本文首次系统地将曼萨加尔湖的各项水质参数整合在一起进行讨论,并通过图形化展示各参数的分布情况,便于直观理解。研究强调了定期监测湖泊水质的重要性,尤其是针对雨季前后的变化趋势。此外,文章提供了详细的实验数据表格,有助于进一步深入分析和应用。
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Pearson‘s correlation and trend analysis for physico-chemical
parameters of Mansagar Lake, Jaipur
Yuvraj Singh
1
, Manish Kumar Jain
2
1
Research scholar,
2
Associate Professor
Department of Environmental Science and Engineering
Indian Institute of Technology (Indian School of Mines) Dhanbad
1
Corresponding author: bharatyuvraj4@gmail.com
Abstract: The article reviews the constituent‘s physico-chemical parameters in the water of the Mansagar Lake of the Jaipur City. The
water quality is also investigated using evaluated physico-chemical parameters with in-depth study of their distribution as per sample
location-wise and season-wise. A detailed discussion on the associationship among parameters (pH, Conductivity, turbidity, dissolved
Oxygen, chemical and Biochemical Oxygen demand, etc.) using the Pearson‘s analytical method is also presented. The strength of the
article is the graphical presentation of evaluated physico-chemical parameters and the water quality indices for sample station-wise and
the season-wise. To our best of understanding, first time such details have been clubbed together and discussion in brief for studied
lake.
Keywords: Mansagar Lake, Physico-chemical parameters, Water quality investigation, Trend analysis, Pearson‘s
correlation analysis.
Introduction:
Various processes and parameters are identified in past, which mainly affects the water quality of a lake such as inputs
from rain, effects of erosion and the weathering of the crustal material apart from other sources of pollutants such as
agricultural, industrial, and otherurban activities [1]. Fragile ecosystem for lakes can be ensured by controlling the
human encroachment and possible sources of pollutants. Ever increasing human settlement, uncontrolled agricultural
practices and use of non-scientific drainage systems accelerate the eutrophication process in the urban water bodies
such as ponds, lakes, etc. [2-3], which results in excessive nutrient and growth of algae and fungi. Since last century,
contamination contents particularly for the Indian water bodies such as lakes, ponds, rivers, dam etc. have been noticed
with growing trends, which are mainly caused by dense population, illegal settlements, eutrophication and the silt
deposition, etc. [4-6]. Jaipur is one of the Indian cities, which are rich in heritage, cultural, forts, lakes and ancient
structures. Due to its high cultural and heritage values, it attracts lots of tourists in almost all seasons and throughout the
year. Among all tourist attractions; the Mansagar Lake popularly known as Jalmahal lake has its own and unique
importance. However its water quality is at risk and has been subjected to various pollution sources; point and non-point
sources [7].
Effluents from municipal facilities such as drain also leaddegradation in its water quality. Lack of proper planning in
past had also been increasing the sedimentation of the pollutants, which resulting into the reduced water surface area
and increase in the evaporation rate. This article explain the measurement of important constituent physico-chemical
parameters such as pH, conductivity, turbidity, dissolved Oxygen (DO), chemical and Biochemical Oxygen demand
(COD, BOD), total organic carbon (TOC), total dissolved solids (TDS) and Chloride. Distribution of these parameters as
per sample, location-wise and environmental condition-wise are plotted to understand the water quality of the lake in
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 14 September 2021 doi:10.20944/preprints202109.0237.v1
© 2021 by the author(s). Distributed under a Creative Commons CC BY license.

depth. The water quality index (WQI) is one of the most effective tools to develop management strategies to control
surface water pollution [8-10]. Some of the dominant parameters evaluated were then used to determine the WQI for
the studied Jalmahal (Mansagar) lake and the results are plotted to check their distribution profile as per the prevailing
and other external environmental situations. The correlation analysis among the physico-chemical parameters for a water
body is a bivariate analysis, which defines the strength and direction of association between two parameters. The
Pearson‘s correlation is a method of covariance, it is considered as the best method to measure the association between
two continuous variables [11]. In the later part of the article, we have also outlined the calculated associationship among
evaluated physico-chemical parameters with use of Pearson‘s correlation method concepts.
Study Area: The Mansagar (Jalmahal) Lake, Jaipur
The Mansagar Lake is located in the northwest part of the city with a palace in the middle; the Jalmahal built by
Mansingh (I), in the year 1610. The Lake is located in the middle surrounding three hills and was constructed by building
a dam over a river; the Dravawati, to address the drought in the surrounding lands [12]. During post-independence era,
especially in the year 1962, the city administration diverted the sewage disposal of two large drainstowards the lake and
from that stage the situation started getting worst for the fresh water source of the Pink city [12-14]. The dimension of the
lake can be classified as the water surface area about 139 hectares and the catchment area of 23.5 sq. km with an average
depth ranging 1.5m to 4.5m. Nearly half of its catchment area located near to dense urban area and the remaining area is
covered by denuded hills. Due to discharge of organic waste the aquatic weeds started growing over the lake, which
suppresses the aquatic life in the lake.
In view of maintaining its heritage value, year 1999 onwards, the responsible Government agencies started taking strict
action for the revival of the Jalmahal region. The present status of the lake is much better as it has been developed into a
tourist attraction as shown in the figure 1(a). However with increasing tourist activities, the lake front has been fuelled
with solid waste and bread crum feeding since long. Also mixing of waste food, paper and plastic in the lake have been a
challenging issue for management of the lake since long. The ground water sources near to the lake have been found
affected with severe contaminations caused by mixing of untreated sewage water with the lake since long. Therefore,
most of nearby water sources are unfit for their use as drinking source and posing serious health hazard to living beings.
Moreover, situation becomes worse during rainy seasons, when the excess rain water flow into the lake with mingled
with the pollution contents from adjoining rough areas and the roads.
For our study, we have selected the samples collection station on the basis of anthropologicalactivities around the lake,
and the surroundings. After a detailed study on previous water quality report and the restoration works done in past,
eleven important sites were chosen to collect and monitor the water quality for two applicable seasons (Pre- and Post-
monsoon). As shown in the figure 1(b), the stations from L
1
to L
5
were chosen at the edge of the lake, while the stations
from L
6
to L
11
were across its width in almost in the centre. To analysis the water quality assessment of the studied lake,
rigorous efforts have been placed to evaluate important physico-chemical parameters for its water. Standard
procedures for sample collection and evaluation of physico-chemical parameters have been applied as discussed in our
previous work [14]. As part of exercises, many roundsphysical and chemical tests were performed to calculate factors
like pH, turbidity, DO, COD, BOD and many others.
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 14 September 2021 doi:10.20944/preprints202109.0237.v1

Fig. 1 (a) the panoramic view of Mansagar Lake, courtesy: https://www.jaipurcityblog.com (b) the sample stations,
courtesy https://www.google.com/maps/@26.9554737,75.8470802,16z.
Evaluation and distribution plots of Physico-chemical parameters and metal constituents:
In this section, we shall be discussing corresponding distribution plots as per sample locations and their maximum,
minimum and mean values. Comparison of parameters evaluated for the samples taken from various locations of the
Jalmahal (Mansagar) lake was done as prescribed in water act 1974 for Pre- and Post-Monsoon seasons and tabulated as
depicted by table 1 and 2. From these tables, it is clear that for post-monsoon days, evaluated pH values have been found
in variation from 7.58–8.46 (pH unit) for stations at the edges and in the range of 8.59– 8.84 at the central (across the
width) stations with mean values of 8.0 and 8.7 respectively.The pH values are relatively consistent at most of the central
stations, while lowest and highest values were noticed at Station L
2
and L
11
, respectively. On the other hand, the pH value
of the lake has been found 8.22 – 8.87 during the pre-monsoon season with anaverage value of 8.70. The water is
conductive in nature due to generation of the ions by salty and inorganic contents, which may increase if electrolytes are
added [15-17]. The conductivity for the Mansagar lake water found to be in higher ranges, which indicate excess clay and
limestone mixing with the lake from the surrounding hills. With our study, the conductivity of the lake water remains in
the range 1019 µS/cm– 1477 µS/cm with a mean value; 1291.64 µS/cm for samples collected post-monsoon days. Also
reason for conductivity may remains at higher levels during the pre-monsoon days due to extreme temperature and huge
evaporation process in peak summers. The observed conductivity range was 1650 µS/cm– 1890 µS/cm with a mean
value; 1763.64 µS/cm for samples collected pre-monsoon days, which actually correlate its values with impact of varied
environmental conditions.
Table 1Evaluated physico-chemical parameters for the lake water (Pre- and Post-Monsoon seasons)
Sample
Locations
pH
(pH unit)
Conductivity
(µS/cm)
Turbidity
(NTU)
TDS
(mg/L)
Pre-M
Post-M
Pre-M
Post-M
Pre-M
Post-M
Pre-M
Post-M
St.-L
1
8.58
7.58
1700
1070
3.0
7.3
1575
1776
St.-L
2
8.79
7.45
1650
1137
3.4
5.6
1554
1728
St.-L
3
8.42
8.57
1810
1472
2.2
8.2
1710
1968
St.-L
4
8.72
7.95
1750
1359
2.9
8.2
1625
1776
St.-L
5
8.78
8.46
1740
1019
2.4
5.2
1855
2064
St.-L
6
8.22
8.59
1780
1473
2.8
3.2
1710
1840
St.-L
7
8.87
8.63
1830
1373
2.7
3.2
1730
1824
St.-L
8
8.85
8.78
1890
1477
2.1
2.5
1745
1810
St.-L
9
8.82
8.62
1810
1412
2.2
2.8
1718
1824
St.-L
10
8.87
8.78
1760
1217
2.2
2.5
1732
1850
St.-L
11
8.86
8.84
1680
1199
2.3
2.8
1722
1824
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 14 September 2021 doi:10.20944/preprints202109.0237.v1
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