RAINFALL-GROUNDWATER RECHARGE RELATIONSHIP IN WADI MUHAYRIGAH BASIN, CENTRAL SAUDI ARABIA Mohammed Abdullah Al-Saleh Associate Prof. of Physical Geography, Dept. of Geography, King Saud University, P O Box 2456, Riyadh 11451, Saudi Arabia Tel 01-467-5369 Fax 01-467-5366 ج ABSTRACT: The Arabian Shield contains only shallow alluvial aquifers along wadi systems sometimes underlain by weathered bedrock. These aquifers are unconfined and of limited thickness and areal extent. These aquifers are recharged by local rain water. Water supplies from shallow aquifers are not of large volumes, however, this perennial resource is locally important for domestic and agricultural uses. In an attempt to derive a regression model for rough prediction of groundwater recharge in Muhayrigah basin, the relationship between monthly water level increments and one month lagged values of monthly rainfall has been assessed. The coefficient of determination is relatively low (0.48), but the values of F-ratio and t-test for correlation coefficient have been found to be significant at a better than 0.05 level. Therefore, the derived regression model may be used for rough prediction of groundwater recharge in wadi basins having physical conditions similar to the physical environment of Wadi Muhayrigah basin. KEY WORDS: recharge, groundwater, Arabian Shield, Saudi Arabia, drylands. » INTRODUCTION Groundwater is the main natural water resource in Saudi Arabia; however, the geology of the country exerts great control on it. The geological structure of Saudi Arabia consists of two major geological parts. The western section is composed of ancient igneous and metamorphic rocks and is known as the Arabian Shield. The eastern part is sedimentary strata dipping east and northeast. The Arabian Shield contains only shallow alluvial aquifers along wadi systems sometimes underlain by weathered bedrock. These aquifers are generally unconfined and of limited thickness and areal extent. Groundwater in these aquifers is renewable with average annual recharge about 900 million cubic meters (Abu Rizaiza and Allam 1989). Conversely, the most prolific aquifers occur within the sedimentary province. Nine of the sedimentary strata serve as main aquifer, generally confined. Ministry of Agriculture and Water (1984: p45) reported that "large volumes of water are stored in some aquifers, but the average annual recharge to these aquifers is negligible. Because the recharge is at best scant, virtually all groundwater used comes from aquifer storage accumulated many thousands of years ago. Therefore, wherever, groundwater withdrawals are heavy water levels decline, Where aquifers are thin, use of the water supply could be threatened, and where aquifers are thicker, pumping could become uneconomical because of the increasing depth of the water level". This fossil groundwater constitutes a very important resource in the country, but it is nonetheless true that the supply from these aquifers is not infinite. Therefore, it has to be considered in the same way as a mining resource. Although the development of this fossil groundwater started only in the last few decades, the problem of the sharp decline of groundwater levels has been confirmed (Pike 1983; Ministry Of Agriculture and Water 1984; Ministry of Planning 1990; Al-Saleh 1992). In tune with natural water balance, shallow aquifers with renewable groundwater have been developed by traditional methods to sustain irrigated agriculture in the country for hundreds of years (Al-Turbak and Al-Muttair 1989). Water supplies from shallow aquifers are not of large volumes, however, this perennial resource is locally important for domestic and agricultural uses (Ministry Of Agriculture and Water 1984). Although, recharge is frequently the most important factor in evaluating groundwater resources in arid and semiarid areas (Wood and Sanford 1995), a review of literature indicates that very little is known about groundwater recharge in Saudi Arabia especially the eastern part of the Arabian Shield (Dincer 1974 1980; Abdulrazzak, et al. 1988; Basmaci and Al-Kabir 1988; Basmaci and Hussein 1988; Al-Muttair and Al-Turbak 1989; Al-Turbak and Al-Muttair 1989; Sorman and Abdulrazzak 1993; Abdulrazzak and Sorman 1994; Alyamani and Hussein 1995). STUDY OBJECTIVE The estimation of groundwater recharge to a reasonable degree of accuracy is essential and vitally needed for the proper assessment and management of groundwater resources. However, this task tends to be difficult in most areas of the developing countries because of the absence of measurements of the influencing factors (climatological, hydrogeological, and geomorphological variables). In areas lacking systematic data base where groundwater recharge depends on local precipitation, the availability of relatively long term data of rainfall and groundwater level data is thought to be valuable for developing a model for approximate estimation. Therefore, the main objective of this study is to examine the relationship between rainfall and rise in water table in Wadi Muhayrigah basin in an attempt to derive a regression model for rough prediction of groundwater recharge. METHODOLOGY In order to achieve the study objective, several steps were followed: 1) The uppermost well in Muhayrigah village was selected to monitor water table response to rainfall. The well is a hand-dug (4x4m) and 21.70 meters deep, sunk into alluvium (10 meters thick) and weathered granite. Water level measurements were carried out on monthly basis for the period from Dec. 1984 to Oct. 1996. The readings were taken at the middle of each month. 2) Unfortunately, the basin lacks rainfall station. Thus, rainfall data of a nearby station (Al-Quwayiyah station Lat. 24 05N / Long. 45 14E) were obtained from the Ministry of Agriculture and Water. 3) Simple linear regression was applied on water level rises as a dependent variable and rainfall data as an independent variable. STUDY AREA Wadi Muhayrigah basin is a relatively small drainage basin and is located within the Shield area of the Al-Quwayiyah region. It occupies the area between 23 55 and 23 58 latitude north and between 45 01 and 45 05 longitude east (Figure 1). Geologically, the basin is composed of Precambrian crystalline rock, covered partially with unconsolidated materials. It contains andesite in the upper reach and gneiss and granite in the middle and lower reaches. The main wadi in the basin is about 8.5km long. It flows generally eastwards, however, it changes its flow direction in the lower reach towards the north. This wadi is one of the main areas in the region that have irrigated traditional palm groves. Agriculture in this wadi depends on groundwater of the shallow alluvial aquifers along the wadi system underlain by weathered bedrock. Thus, the wadi provides a typical example of groundwater resources problems in the agricultural settlements in the shield area of the region. Figure1 RECHARGE TO SHALLOW AQUIFERS IN SAUDI ARABIA Alluvium aquifers in the Arabian Shield are recharged by local rain water. However, it is influenced by the meteorological, geomorphological, and hydrological characteristics of the region, and therefore, recharge to groundwater through wadi channels is the most important recharge mechanisms in Saudi Arabia (Abdulrazzak et al. 1988; Al-Saleh 1988; Basmaci and Hussein 1988). There is very little rainfall in Central Saudi Arabia (with annual mean about 100mm). Besides, the temporal distribution of rainfall in the country characterizes with a large number of low observations and infrequent but very significant extreme events. In addition, high-intensity is characteristic of rainfall in Saudi Arabia. Jones (1980), reported that about 50% of rainfall in Saudi Arabia falls at intensities in excess of 20mm/hour, and 20-30% falls at intensities exceeding 40mm/hour. Alyamani and Sen (1993: p.115) pointed out that "in most of the cases the rainfall occurs locally and sometimes in the form of violent thunderstorm of short duration". Since rainfall intensity tends to be high and infiltration in wadi channels tends to be very rapid, runoff recharge is the most common type of recharge in Saudi Arabia especially in mountainous areas. Although surface runoff may be considered as zero on the regional level in desert areas, runoff does occur in most parts of Saudi Arabia with the exception of sand dune areas. However, runoff in the country is usually local, irregular, and relatively small reflecting rainfall characteristics (Ministry Of Agriculture and Water 1984). Mountainous areas with a high percentage of bare rock and steep slopes generate greater runoff than flatter lands. The threshold value of rainfall producing runoff in desert areas is estimated to range between 5mm and 20mm/hour (Llyod 1980). In a sprinkling experiment of 18mm/hour carried out in a sandy area in the Negev, Israel, the runoff coefficient reached 39.5% (Yair 1990). Therefore, most desert storms (although infrequent) would generate runoff on the highly permeable alluvial deposits and consequently recharge to aquifers will take a place. Previous studies indicate that the quantities of groundwater in the shallow aquifers in Saudi Arabia are highly dependent on local precipitation and discharge. Dincer (1980: pp.23-24) stated that "it would be a misconception to think that these intense rains are extremely rare phenomena- people living in arid countries are quite familiar with them. The run-off produced by these rains results in impressive flood waves which are absorbed by highly permeable wadi alluvia, or disappear in sink-holes in karst limestone with negligible evaporation losses. Often a flood wave completely disappears before reaching the terminal area of a wadi system consisting of a mud flat (sabkha, playa), sand-dunes or the sea". Beaumont (1981: p.48) reported that water tables in these aquifers "respond rapidly to local precipitation conditions". Kollmann (1984: p.230) stated that "the variations in groundwater table were directly related to the floods which are a significant factor in groundwater renewal, in that they enrich groundwater reserves through streamwater loss". Ministry Of Agriculture and Water (1984: p.33) pointed out that "floods or large flows occasionally occur in the kingdom but are usually local. After the surface flow travels a few kilometers, it generally disappears into the dry wadi beds. Al-Saleh (1988: p.216) stated that "groundwater level rises in the monitored wells corresponded well with increased rainfall". It is apparent from the above statements that groundwater recharge to shallow aquifers is related to rainwater. However, the relationship is not quantitatively defined. RESULTS AND DISCUSSION In December 1984, the Al-Quwayiyah region received about 35mm of rainfall in two successive days which resulted in runoff in most parts of the region, and consequently water level rose sharply in the study area. Most farmers in the region guide flood water to their farms which are surrounded by embankments. To avoid the influence of artificial recharge, the upper most well (21.70 meters deep) in the drainage basin was chosen to monitor water level in the basin. The frequency and time interval of measurement are usually adjusted to the circumstances. Because precipitation bearing depressions from both the Mediterranean Sea and the Indian Ocean irregularly invade the study area, runoff may not occur at all during some years. Therefore, defining the relationship between rainfall and rise in water table in Wadi Muhayriqah basin requires measurements over a relatively long period of time (more than ten years). On the other hand, there is a delay between runoff event and the consequential rise in the water table. This time lag varies from place to place depending mainly on the thickness, permeability and porosity of the unsaturated zone. Fetter (1988: p.99) pointed out that "the time lag may be only a few hours in the humid regions for very coarse soils with water table close to the surface. In arid environments, with very infrequent recharge and great depths to the water table, water may take years to pass through the unsaturated zone". In the study area the unsaturated zone is not very thick and the unconsolidated materials of the wadi bed tend to be coarse; thus the response of the water table to recharge is expected to be fairly rapid. Before the flood occurred in the 13th of Dec. 1984, the water table at the selected well was nearly at the lowest level which was 21.15 meters below surface. Therefore, the water level, following the flood event, was measured weekly in an attempt to determine the maximum delay of groundwater response to rainfall. Based on these measurements water levels were 19.90m, 18.45m and 18.55m below surface in the 20th of Dec. 1984, 27th of Dec. 1984 and 3rd of Jan. 1985 respectively. These values indicate that water level started rising in the first week and continued to rise in the second week. However, the reading of the third week showed slight decline in water table. This means that the maximum time lag is less than three weeks. Therefore, one could consider, at least to a minimal degree, that monthly water level observations are adequate to examine the relationship between rainfall and rise in water table. Thus, water level measurements were carried out on monthly basis. Table 1 shows monthly water level increments, the corresponding rainfall data, and one-month lagged rainfall values. This table reveals that monthly water level increments are not well matching with the corresponding rainfall data nor with the one-month lagged rainfall values. For instance, the Al-Quwayiyah station received zero rainfall in both April and May 1994 whereas water level rise in May 1994 was three meters. However, one-month lagged values of monthly rainfall have a relatively better matching than the corresponding monthly rainfall data. Plotting time series data of observation wells ease visual interpretation and consequently indicate the general trends of water table fluctuations (Mandel and Shiftan 1981). Therefore, the construction of water level hydrograph is often the preliminary step for the primary evaluation of water level data. Thus, in this study, water level data have been plotted against time (Figure 2). This figure demonstrates water level fluctuation, and the rises in water level tend to occur in the rainy season in the study area (rainfall is expected in the period extending from October to May). This confirms the linkage between rainfall and groundwater recharge. To examine the relationship between rainfall and groundwater recharge, monthly water level increments have been plotted against one-month lagged values of monthly rainfall (Figure 3). The scatter diagram reveals low relationship between the variables. To quantitatively determine the strength of the relationship, regression analysis was carried out. ث Table 1 Figure2 Figure3 Unfortunately, the closest rainfall station to the basin is Al-Quwayiyah station which is about 25 km to the east. Thus, rainfall data of this station has been used to carry out the regression analysis. Undoubtedly, this is a major limitation in this study. The correlation coefficient (r) and F-ratio are 0.69 and 18.6 respectively. The calculated t-value for the correlation coefficient is 4.214 which is better than 2.086 value at the 0.05 significance level indicated by t-tables. In addition, F-ratio is higher than the critical value which is 4.35 at 0.05 significance level. Thus, the regression model may be used for rough prediction of groundwater recharge. The predicting equation can be written in the following form: R = 1.00463 + 0.0371453 P t t-1 where: R = monthly water level rise in meters. P = monthly rainfall in millimeters. t = time in month. The coefficient of determination (R square) of the above model is about 0.48. Therefore, another attempt has been made to seek a better relationship between groundwater recharge and rainfall using annual data. To carry out the statistical analysis on annual basis, one would use the hydrological year. Therefore, a combination of data from two successive years (the late three months of one year and the first five or six months of the following year) has been used because recharge occurs only in the rainy season. Thus, the data have been tabulated and treated according to this way (Table 2). However, regression analysis of the annual data has resulted in a lower relationship with a correlation coefficient of 0.62. Certainly, use of rainfall data for the drainage basin rather than a remote station data would improve the relationship between groundwater recharge and rainfall. This is especially true for an arid region with highly spatialy variable rainfall. SUMMARY AND CONCLUSION The Wadi Muhayrigah basin provides a typical example of groundwater resources problems in the agricultural settlements in the shield area of the Al-Quwayiyah region. It is one of the main areas in the region that have irrigated traditional palm groves. Agriculture in this wadi depends on groundwater of the shallow alluvial aquifer along the wadi system underlaid by weathered bedrock. This aquifer is recharged by local rain water and recharge through wadi channels is the most important recharge mechanism in the basin. To have an idea about groundwater recharge in this basin the relationship between monthly water level increments and monthly rainfall values has been assessed. The results reveal that water level rises in the basin are not highly correlated to rainfall values of the Al-Quwayiyah station (some 25km east of the basin). The low coefficient of determination (0.48) would ¼ Table 2 be attributed to the spatial variability of rainfall in Central Saudi Arabia. Although the coefficient of determination is relatively low, the values of F-ratio and t-test for correlation coefficient have been found to be significant at a better than 0.05 level. Therefore, the derived regression model may be used for rough prediction of groundwater recharge in wadi basins having physical conditions similar to the physical environment of Wadi Muhayrigah basin. ACKNOWLEDGMENTS Thanks are due to the Ministry of Agriculture and Water for providing the raw data of rainfall, to Dr. Nasser Al-Saaran for his constructive comments on the draft of this paper and to Mr. Salah Turky for producing figures in this paper. REFRENCES Abdulrazzak, M.J., et al.: Estimation of natural groundwater recharge under Saudi Arabian arid climatic conditions. In: Simmers, I. (ed.), Estimation of natural groundwater recharge, pp. 125-138 (1988) Abdulrazzak, M.J., and A.U. Sorman: Transmission losses from ephemeral stream in arid region. Journal of Irrigation and Drainage Engineering 120, 669-675 (1994) Abu Rizaiza, O. S., and M. N. Allam: Water requirements versus water availability in Saudi Arabia. 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Earth Surface Processes and Landforms 15, 597-609 (1990) ة Table 1 Monthly water level rises and monthly rainfall ___________________________________________________________________ monthly water corresponding monthly one-month lagged of level rises (m) rainfall (mm) monthly rainfall (mm) ___________________________________________________________________ 2.7 6.2 38.1 0.3 0 6.2 1.1 12.5 35.5 0.3 11.2 12.5 0.35 78.6 11.2 4.05 225.2 78.6 7.7 0 225.2 0.35 0 18.1 0.3 28.7 20.8 3.45 0 28.7 3.95 7.3 65.3 0.45 66.2 20.4 1.2 0 66.2 0.8 12.4 13.6 1.25 0 12.4 0.25 0 0 0.85 0 0 0.7 0 0 1.35 0 3.8 0.2 3.9 1.8 5.3 2.5 3.9 2.55 7.7 6.5 2.35 6.1 7.7 0.75 0 6.1 3.00 0 0 10.7 5.3 91.3 0.6 0 5.3 Table 2 Annual rainfall and water level rises. _____________________________________________ Years Rainfall (mm) water rises (m) _____________________________________________ 84/85 105.5 3.0 85/86 365.7 13.5 86/87 77.3 4.1 87/88 72.6 3.95 88/89 90.1 1.65 89/90 83.0 2.05 90/91 4.7 0.25 91/92 14.3 2.9 92/93 31.4 11.15 93/94 1.4 3.0 94/95 104.6 11.3 º Editor of GeoJournal, PO Box 17, 3300 AA Dordrecht, The Netherlands Dear Professor Herman van der Wusten, Enclosed please find my research paper entiteled "RAINFALL-GROUNDWATER RECHARGE RELATIONSHIP IN WADI MUHAYRIGAH BASIN, CENTRAL SAUDI ARABIA". I hope you find it acceptable to be published by your highly respected and widely known journal. Thank you very much for your cooperation. Yours sincerely Dr. Mohammed Abdullah Al-Saleh Department of Geography, College of Arts, King Saud University, P O Box 2456, Riyadh 11451, Saudi Arabia Tel 01-467-5369 Fax 01-467-5366