Abstract
Groundwater is an essential and vital component of our life support system where it is used for drinking, irrigation, and industrial purposes. Wadi Sayyah is one of the most important wadis in the western part of Saudi Arabia to the northeast of Jeddah city. A total of 42 groundwater samples are collected from hand dug wells in this area and they are analyzed for various physical and chemical parameters. The sequence of the abundance of the major ion is in the following order: Ca2+ > Na+ > Mg2+ > K+ and Cl− > SO42− > HCO3− > NO3−. The dominated hydrochemical facieses of groundwater are: CaCl, and mixed CaMgCl, and the alkaline earths(Ca2+, Mg2+) and strong acids (SO42−, Cl−) are dominating over alkalis (Na+, K+) and weak acids (HCO3−, CO −3 ). Statistical analysis indicates positive correlation among most of the chemical parameters. Based on the analytical results, groundwater in the study area is generally hard to very hard, fresh to brackish and alkaline in nature. The rock weathering and evaporation are among the most dominant processes in controlling water quality. The chloro-alkali indices illustrate that 80 % of the water samples have positive indicating exchange of Na+ and K+ from water with Mg2+ and Ca2+ from the rock. The suitability of water for drinking and irrigation is determined using WHO standards for drinking; some indices for irrigation purposes and it indicate that the groundwater in the study area can be used for drinking purposes in most of the locations (31 wells), while it is suitable for irrigation uses.
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Introduction
Groundwater is an essential and vital resource world wide. It was estimated that approximately one-third of the world’s population uses groundwater for drinking (UNEP 1999). Saudi Arabia (SA) is located in the arid zone of south west Asia, where there is no perennial river or surface water. Groundwater is the primary source of the water for human consumption, as well as for agricultural and industrial uses, which make it an important resource in SA. So, growing population, agricultural expansion and urbanization has placed a heavy demand on water resources, which are among the challenging issues especially in arid and semi-arid regions, where the water resources are limited. The fresh water resources are limited to the groundwater system, where the groundwater in alluvial aquifer, which is dependent on direct recharge of rainfall. Wadi Sayyah is one of the important wadis for Al Kamel and surround villages in the western part of SA. Groundwater in the study area has special significance, where it is the only source for freshwater, which is used for domestic and agricultural needs in ascending order.
Water quality is important as for its quantity and quality as it moves through the soils and sediments, and hence, its composition is then changed by chemical reactions such as weathering, dissolution, leaching, precipitation, ion exchange, impact of agriculture and urbanization. The quality of groundwater has been studied in several basin by many researchers (Ramesh and Bhuvana 2012; Magnus et al. 2011; Cobbina et al. 2012; Emmannoel et al. 2009).
The important of the groundwater in this area has been underestimated. This is due to the fact that it is the only water resource for drinking and agricultural purposes for people and for other living beings in the surrounding area.
Shallow groundwater resources provide important fresh water in many parts of the SA, where surface water supplies are absent except during the floods after intensive rainfall occurrences. Extensive agricultural activities and high growth of rural and metropolitan activities result in increased demand for development of groundwater resources.
However, no studies have been carried out in this area for groundwater resources; so, this study is the first one in this region. This work aims to hydro-geochemical investigation, which is carried out to identify groundwater geochemistry and its suitability for drinking and irrigation purposes.
Study area
The study is done in wadi Sayyah, which lies in the Rabigh region which is one of the major tributary of wadi Khulais in the central western SA. It is located in the northeastern Jeddah city at a distance of 160 km between latitudes 22°15′ and 22°30′E and longitudes 39°45′ and 40°00′N (see Fig. 1). Rainfall in the western SA can be described as scare and unpredictable, but very extensive during local storms. The rate of evaporation is very high on the average of 400 mm/year (Şen 1983).
This wadi is considered as important to agricultural areas in the Red Sea coastal region, where it supplies water to near cities and villages as for their vegetable, fruit, and dates requirements. This wadi is located at an elevation of about 381–723 m above mean sea level. Wadi Sayyah flows through stream of an irregular shape and direction, which is generally from east to west. The climate of the area is of arid type with the average daily maximum temperature at 35 °C in the summer and the minimum 16 °C in the winter. The annual rainfall is greater than 140 mm. Runoff occurs most of the year especially after rainfall as flash floods associated with heavy short-duration storms in the winter and spring (Şen 1983).
Geologically, the study area is a part of the Arabian Shield that extends from the north to the south parallel to the Red Sea. This Shield is made up of Precambrian crystalline, metamorphic and meta-volcanic sedimentary rocks (Moore and Al-Rehalie 1989). The geology can be categorised into four units as follows:
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1.
Precambrian layered rocks, that consist of (a) Samaran group which is represented by Amudan formation (Sa). This crops out in a northeast trend of the quadrangle and it consists mainly of lava, pyroclastic rocks with some ignimbrite and epiclastic rock which is the main exposure in this wadi and AlKamil (Ramsay 1986). (b) Shayma Nasir group which is represented by Uaibikh formation (nu) located east of Al Kamil which consists of Andesitic, dacitic lava, volcaniclastics minor basalt, rhyolite, conglomerate, and sandstone.
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2.
Tertiary rocks These units are represented by Hammah formation (trnb) which consists of AlKali olivine basalt, subordinate alkalic intermediate lava, minor pyroclastic, and some feldspathoidal lava.
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3.
Precambrian intrusive rocks These intrusive rocks are represent by Shiwan complex which occupy many places throughout the study area, they consist of Diorite to Quartz Diorite (Kwdi), Hornblende Tonalite (Kwtn), Hornblende-Biotite Tonalite (Kwtt), Granodiorite to Quartz Monzonite (Kwtg) and Honrnblend-biotit Monzogranite (Kwgm).
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4.
Quaternary deposits The floor of Wadi Sayyah is filled with quaternary alluvial deposits which are the weathering products of the host rock units in the area. This alluvial is mainly composed of medium to coarse grained gravel along the wadi channels and fine sands in the flat area.
The predominant structural feature is in the form of normal faults that strike roughly north-northwestward along the margin of the Red Sea (see Fig. 2).
The groundwater of the area occurs under unconfined conditions. Rainfall infiltration and seepage of water from irrigation water are responsible for groundwater fluctuation. More than 60 wells exist within the main course of Wadi Sayyah. These wells are shallow and partially penetrating. This is due to the fact that the farmers stop further deepening the well when they reached to considerable depth of water column. On the average, the depth of wells in this area reaches to 27.7 m. These are large diameter dug wells, where the diameter varied from 1.5 to 8 m. Generally, the groundwater depth in wadi Sayyah area varies in the range of 7.3–24.45 m. Some of the area is covered by agricultural land. Groundwater is drawn from an unconfined alluvial, fractured-type aquifer. Fruits and date is the dominating cropping system in the region under surface irrigation (flooding and basin).
Methodology
A total of 42 wells served in June 2011 (Fig. 3), which corresponded to dry season. Groundwater level depths are measured. Each well is purged before the ground water samples are collected. The electrical conductivity (EC), and pH values are measured in the field, because these parameters are likely to change during transport. These variables are measured using a portable field kit. At the time of sampling, the bottles are thoroughly rinsed 2–3 times using the same groundwater. The samples are analyzed for major cations (Na+, K+, Ca2+, and Mg2+); and anions (Cl−, SO42−, HCO3−) and minor ions such as fluoride (F−), nitrate (NO3−), and phosphate (PO43−). The chemical analysis is carried out in the laboratory of the Faculty of Earth Sciences Jeddah as per the procedure given in the American Pubic Heath Association (APHA 2005). Calcium (Ca2+) and magnesium (Mg2+) are determined titrimetrically using standard EDTA. Chloride (Cl−) is determined by standard AgNO3 titration. Bicarbonate (HCO3−) are determined by titration with HCl. Sodium (Na+) and potassium (K+) are measured by flame photometry. Sulfate (SO42−) and nitrate (NO3−), and fluoride (F−), are determined colorimetrically using spectrophotometer technique.
The analytical precision of the ions measurement is determined by calculating the absolute error in ionic balance, which is found in all samples within a standard limit of +5 % (Domenico and Schwartz 1998).
Results and discussion
Groundwater chemistry
The statistical parameters of the chemical composition of the groundwater such as minimum, maximum, mean, and standard deviation are presented in Table 1. The pH value in most of the water samples range 6.5–7.7 with mean value of 7.14. Only few samples have values less than 7. All other samples have values more than 7, which indicate alkaline nature of the samples. The values of pH are found to be in the permissible range of 7–8.5 according to WHO standards. The values of EC range from 704 to 4,848 μS/cm with mean of 2,098.38 μS/cm. The large variations in EC are attributed mainly to geochemical processes prevailing in this region. A high percentage of the TDS is contributed by Ca2+, Mg2+ Na+, Cl−, and SO42−. Also the EC values are influenced by Ca2+, Mg2+ Na+, Cl−, and SO42− as it is clear from Table 2 according to Pearson correlation between the major ions. The total dissolved solids (TDS) in the study area varied from 468 to 2,688 mg/l with a mean value 1,355.36 mg/l. The large variation in TDS is mainly attributed to anthropogenic activities and to geochemical processes prevailing in the area (Choi et al. 2005). Based on TDS classifications (Freeze and Cherry 1979; Hem 1989), 62 % of the groundwater in the study area belongs to brackish type (TDS >1,000 mg/l) and the remaining was fresh water (TDS <1,000 mg/l.
The abundance of the major ions is as follows: Ca2+ > Na+ > Mg2+ > K+ and Cl− > SO42− > HCO3− > NO3−.
In the study area, the calcium (Ca2+), which is very common in the groundwater is a variable in most of the rocks with its concentration variation between 70.7 and 1,076.4 mg/l with mean of 231.09 mg/l. Magnesium (Mg2+) normally occurs in lesser concentration than other cations. This is due to the fact that dissolution of magnesium-rich minerals is slow processor, the concentration of Mg2+ in the groundwater in the study area is found to vary between 13.80 and 272.40 mg/l with a mean value of 54.65 mg/l. Sodium (Na+) concentrations are found in groundwater in this study area and they range from 34.30 to 931.80 mg/l and the mean 156.mg/l. High concentrations of Na+ in the groundwater are attributed to cation exchange among minerals. The concentration of potassium (K+) is measured and found to range from 1.30 to 15.40 mg/l, while the mean is 6.24 mg/l. Potassium ions present in the groundwater might have come from irrigation return flow.
The main source of bicarbonate (HCO3−) anion in the groundwater is from the dissolution of minerals such as calcite and dolomite, where its concentration ranges from 122.70 to 294.50 mg/l with mean value as 188.75 mg/l.
The high concentration of chloride (Cl−) in groundwater comes from weathering of minerals such as halite and other sources such as domestic effluents, fertilizer, septic tanks, and leachates from landfills (Loizidou and Kapetanios 1993). Chloride in the study area varies widely from 102.70 to 2,850.10 mg/l with a mean value of 438.62 mg/l, where it increases from the recharge to discharge area.
Sulfate (SO42−) in the groundwater is derived principally from the evaporate minerals gypsum and the anhydrite. It could also come from oxidation of pyrite. Its concentration in this area varies from 118.40 to 1,755.20 mg/l with mean concentration 355.84 mg/l (see Table 1).
Nitrate (NO3) sources in groundwater is due to decaying organic matter, sewage wastes, leakage of septic tanks, and fertilizers (Subrahmanyam and Yadaiah 2000), leaching of nitrate with the percolating water. Nitrate is found in high concentration in some of the wells throughout the study area. The NO3− concentration in the groundwater sample of this area show a large variation range from 11.70 to 450.20 mg/l with mean concentration of 56.97 mg/l. 43 % of the groundwater samples taken during this study show that nitrate concentration exceed the WHO limits (50 mg/l) in drinking water. The main source of nitrate contamination of groundwater in the study area may be from human and animals wasted and fertilizer.
Fluoride (F) can be considered as one of the main trace element in groundwater where it is occur generally as natural constituent. The high concentration of fluoride is generally due to rocks containing fluoride minerals (Wenzel and Blum 1992; Bardsen et al. 1996). The concentration of fluoride in groundwater of the study area varies between 0.35 and 1.50 mg/l with a mean value of 0.73 mg/l. Fluoride is considered as an essential element though health problems may arise from either deficiency or excess amount (Gopal and Gosh 1985).
The phosphate (PO4) is usually found in groundwater only a minimal level. This is due to low solubility of native phosphate minerals and the ability to retain phosphate (Rajmohan and Elango 2005). The concentration of phosphate in groundwater in this area is observed from 0.05 to 0.79 mg/l with a mean value of 0.18 mg/l.
The total hardness (TH) was found to be in the range of 248.56–3,808.75 mg/l with a mean value of 801.93 mg/l.
The concentrations of cations and anions along wadi Sayyah is shown in Fig. 4 where it is seen that these concentrations fluctuate through this wadi. Also, it can be noted from this figure that the maximum values of these cations and anions were found in three wells (18, 23 and 28). This may be due to the fact that wells drilled into rocks this is clears from the field study of these wells and as the recharge to these well is low, this is clear from the well No. 28 where it pumped only for half an hour then it is dried.
Correlation matrix
It is commonly used to examine the degree of correlation between the different chemical parameters, which affect the quality of groundwater. It is a simple measure to exhibit how well one variable predicts the other (Kurumbein and Graybill 1965). The Person’s correlation matrices (Swan and Sandilands 1995) are used to find the relationships between two or more variables, where the correlation matrices between 14 chemical parameters were computed and presented in Table 2. Samples showing correlation coefficient (r > 0.7) are considered to be strongly correlated, where (r) values between 0.5 and 0.7 show moderated correlation at a significance level p = 0.05, while r < 0.3 is weak. It is clear from Table 2 that there are high positive correlations between TDS and EC, which may be due to the fact that the conductivity increases as the concentration of all dissolved constituent increases. It also illustrate that EC and TDS show high positive correlation with Ca2+, Mg2+, Na+, Cl−, SO42−, NO3−, and TH. The relationships clearly identify the main elements contributing to salinity of groundwater and their tendency to follow a similar trend. Cl− and SO42− are also significantly correlated with Ca2+, Mg2+, and Na+. A high relation between TH and Ca2+, Mg2+ and Cl− indicates that hardness in groundwater is mainly due to CaCl2 and MgCl2 (Udayalaxmi et al. 2010).
There is a very high positive correlation between Cl− and Na+ (0.94) as well as between Mg2+ and Cl− (0.95) due to the dissolution of evaporates. The high correlation matrix between Ca2+ and NO3− is 0.75 showing the use of fertilizer and pesticides (Tisdale and Nelson 1975).
The high positive correlations between SO42− and Cl− (r = 0.95), Mg2+ and Cl− (r = 0.95), and Mg2+ and SO42− (r = 0.90) indicate the impact of agricultural activity. A strong positive correlation is observed between Mg2+ and Ca2+ with indication that most of the ions are involved in various physiochemical reactions, such as oxidation–reduction and ion exchange in the groundwater aquifer system (Udayalaxmi et al. 2010). The pH was negatively correlated with most of physicochemical parameters.
Ion exchange processes
It is essential to identify the various changes in chemical composition undergone by groundwater during its travel in the subsurface (Johnson 1979). This can be done using the chloro-alkaline indices, CAI-1 and CAI-2, which are suggested by Schoeller (1977), to indicate ion exchange between the groundwater and its host environment during residence or travel. The value of these indices can be positive or negative. If the value is positive then it explains that the exchange of Na+ and K+ ions are from water with Mg2+ and Ca2+ ions of the rocks. This indicates a direct base (cation–anion) exchange reaction. In contrast, if the indice is negative then it means that there is an exchange Mg2+ and Ca2+ of the water with Na+ and K+ ions from rocks, so the exchange is in indirect base indicating chloro-alkaline disequilibrium. These reactions are known as cation–anion exchange reaction. The chloro-alkaline indices used in the evaluation of the base-exchange are calculated using the following formulas:
where all concentrations are expressed in epm. The chloro-alkaline indices are calculated for the groundwater samples in the study area and it has been found that CAI 1 values range between −0.02 and 0.89 with mean values of 0.35, while CAI 2 values lie between −0.13 and 0.95 with mean values of 0.40 (Table 1). It is also detected that 88 % of water samples show positive ratios, which is in the form of direct base-exchange reaction. In contrast, 12 % of the samples have negative chloro-alkaline indices, illustrating that they have indirect base-exchange reaction.
Hydro-geochemical facies
The hydrochemical evolution of groundwater can be understood using the analytical data obtained from groundwater sample as a result of plotting the major cations and anions in the piper Trilinear diagram (Piper 1944). This diagram is considered as one of the most commonly used graphical methods for classifying groundwater based on normalized percentages of major cations and anions. The diagram reveals similarities and differences among water samples because those with similar qualities tend to plot together as groups (Todd 2001). Hydrochemical facies interpretation is a useful tool for determining the flow pattern, origin of chemical histories of groundwater. The piper diagram is useful in bringing out chemical relationships among water in more definite terms (Walton 1970).
The Piper Trilinear diagram for the groundwater samples is presented in the Fig. 5, which clearly explains the variations of cation and anion concentration in the study area. It shows that the majority of groundwater samples during this study fall in the field CaCl type of water. Some samples fall in mixed CaMgCl type facies. So, from the plot, alkaline earth (Ca2+ and Mg2+) significantly exceeds the alkaline (Na+ and K+) and strong acid (Cl− and SO42−) exceeds the weak acid (HCO3− and CO32−).
Mechanisms of controlling groundwater chemistry (Gibbs ratio)
It is important to study the relationship between the water chemistry and the aquifer lithology. Gibbs (1970) suggests that a diagram that represents the ratio of dominant anions and cations plotted against the value of TDS. These ratios can be divided into two formula, first for cations which is Na+/(Na+ Ca) and the second is for ions, Cl/(Cl+ HCO3) as a function of TDS. This diagram is widely used to evaluate the functional sources of dissolved chemical constituents such as precipitation dominance, rock dominance and evaporation dominance. The chemical analysis of groundwater samples from the study area are plotted in the Gibbs diagram (Fig. 6). This figure shows that the predominant samples fall into the category of rock–water interaction and evaporation dominance fields which suggest that the chemical weathering of rock-forming minerals are influencing the groundwater quality by dissolution of rock through which there is circulation while the data in the evaporation dominance field increase salinity by the increasing ions of Na and Cl with relation to increase in TDS and agricultural fertilizers.
Drinking and irrigation water quality
Drinking water quality
The suitability of groundwater in the study area is evaluated for drinking by comparing with standard guide line values recommended by World Health Organization (1971, 1983). According to WHO specifications, TDS up to 500 mg/l is the highest desirable and up to 1,500 mg/l is the maximum permissible level (Table 3). Based on this classification, 72 % of the groundwater samples belong to this value and the remaining exceed the limit. So, this shows that the water can be used for drinking in most of the locations (1–17, 20–22, 24, 25, 29, 30, 34–38, 40, 42). The classification of groundwater based on the total hardness (Sawyer and McCartly 1967) shows that 3 samples (7 %) fall in hard category, while the remaining 39 samples (93 %) are within very hard category (Table 4).
Based on the WHO international standard and Table 3, it is seen that 64 % of groundwater samples in this area exceeds the maximum limit of WHO standard, so this water cannot be used for domestic purposes because it coagulates soap lather, while the rest (36 %) is good. Concentrations of phosphate (PO43−) and Fluoride (F) are within the permissible limit for drinking.
Irrigation water quality
The suitability of groundwater for irrigation is depended on the effects of mineral concentrations of water on the soils and plants. The effect of the salts on soils causes change in the soil structure, permeability, and hence, it affects the plant growth. The classification system to evaluate the suitability of water for irrigation use can be determined through the indices such as sodium adsorption ratio (SAR), percent sodium (%Na), residual sodium carbonate (RSC), permeability index (PI), and USSL classification.
Sodium adsorption ratio (SAR)
The SAR is the most useful parameter for determining the suitability of groundwater for irrigation purposes because it measures the alkali/sodium hazard to crops (Subrahmani et al. 2005). The sodium enters the aquifer in the study area from rainfall and dissolution from rocks. Due to its effects on soil and plant, Na is considered one of the major factors governing irrigation water (Richards 1954). It can be determined using the following formula:
where all the concentration of ions are represented in epm.
The SAR for groundwater in the study is calculated using the above equation and the result of SAR was found to range between 0.31 and 3.45 with a mean equal to 1.74. Based on Richards’ classification (1954) represented in Table 5, it is observed that all samples can be classified as excellent for irrigation.
Residual sodium carbonate (RSC)
The excesses of carbonate and bicarbonate values in groundwater samples over those of calcium and magnesium affect the suitability of groundwater for irrigation. This is expressed as RSC, which is widely used to indicate the suitability of groundwater for irrigation purposes and it can be calculated as follows (Eaton 1950; Ragunath 1987):
where all ions are expressed in epm. The calculated RSC values of groundwater samples in the study area are found to range from to −72.79 to −2.78 with an average of −12.94. The classification of groundwater for irrigation purposes according to RSC values indicates that all the groundwater samples are <1.25 and hence it is a good category (Table 6).
Negative RSC indicates that sodium buildup is unlikely since sufficient calcium and magnesium are in excess of what can be precipitated as carbonates (Manavalan et al. 2007)
Permeability index (PI)
The permeability index is another parameter which is used to determine the suitability of groundwater for irrigation. This index is proposed by Doneen (1964) to assess probable influence of water quality on physical properties of soils using the following equation.
where all ions concentration are express as epm. The permeability index was classified into three classes I, II and III, where classes I and II represent water as good for irrigation with 75 % or more of maximum permeability. The class III water is not suitable with 25 % of maximum permeability. The calculated permeability index for groundwater in the study is found to range from 17.4 to 54.85 % with an average of 40.38 %. So it clear that all the groundwater in this area is located in class II, which indicates that water is good for irrigation.
Percent sodium (Na%)
The percent sodium (Na%) is another parameter, which can be used to determine the suitability for irrigation that can be calculated using the following expression.
where all the concentration are express in epm. The calculated Na% in the groundwater samples in the study area range from 8.05 to 46.55 % with an average of 30.40 %, which show that the water falls under excellent to permissible limits for irrigation (Table 7). If concentration of sodium is high, it will be absorbed by clay particles, displacing Mg2+ and Ca2+ ions. This exchange process of Na+ in water for Ca2+ and Mg2+ in soil reduces the permeability and eventually results in soil with poor internal drainage. Hence, air and water circulations are restricted during wet conditions and such soils are usually hard when dry (Collins and Jenkins 1996; Salah et al. 1999).
Also the classification of water for irrigation can be determined graphically by plotting SAR and EC values on US Salinity Laboratory diagram and the results are shown in Fig. 7, where it shows that most of groundwater samples (78.60 %) fall in the field C3S1, which indicate high salinity and low sodium type which can be used for irrigation on almost all types of soils with little danger of exchangeable sodium (Hem 1989). Also these are some samples (21.40 %) that fall into the field of C4S1 indicating very high salinity and low alkalinity hazard. This water can be used for plants of good salt tolerance and also restricts the suitability for drainage (Karanth 1989; Mohan et al. 2000).
Conclusions
The interpretation of the hydrochemical analysis results of 42 water samples from hand dug wells in wadi Sayyah area reveals that the groundwater in this area ranges from fresh to brackish and alkaline in nature. The groundwater is classified as hard to very hard category based on total hardness. The sequence of the abundance of major ions is found in the order of Ca2+ > Na+ > Mg2+ > K+ and Cl− > SO42− > HCO3− > NO3−. The dominated hydrochemical facies of groundwater are CaCl, and mixed CaMgCl. A Gibb’s diagram indicates that rock weathering and evaporation are the dominant process controlling groundwater quality in the area. Chloro-alkaline indices 1, 2 calculations showing that 88 % of the groundwater samples have positive indication exchange of Na and K from water with Mg2+ and Ca2+ from the rock, while 12 % of the groundwater samples have negative indication, which indicate just the reverse situation. The assessment of groundwater samples according to World Health Organization for drinking water purposes indicates that the groundwater in the study area is of fresh type in most of the locations (1–17, 20–22, 24, 25, 29, 30, 34–38, 40, 42) and hence can be used while the rest is brackish which limits its suitability for drinking. The suitability of groundwater for irrigation purpose was assessed from SAR, RSC, Na %, PI, and USSL plot which varies from good to excellent, which is suitable for irrigation purposes.
It is recommended that irrigation method must be applied in this area to prevent aquifer depletion which results due to over pumping. On the other hand, monitoring the groundwater quality including the possibility of leaching soils of the agricultural land which causes an increase in salinity of the water in this area.
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The author thanks the three anonymous reviewers for their valuable and constructive comments that provided substantial revision of the manuscript; all reviewers are acknowledged for their contribution.
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Al-Ahmadi, M.E. Hydrochemical characterization of groundwater in wadi Sayyah, Western Saudi Arabia. Appl Water Sci 3, 721–732 (2013). https://doi.org/10.1007/s13201-013-0118-x
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DOI: https://doi.org/10.1007/s13201-013-0118-x