Received 1 June 2016; accepted 22 July 2016; published 25 July 2016
In a typical arid country like Egypt, groundwater is considered one of the most important sources of water for most uses. In the last decades, the development of the desert areas by building up new communities attracted the attention of the decision makers and the investors. This natural expansion for agricultural, industrial and civil activities in the desert areas needs more exploration activities for groundwater resources. This may lead to decline of groundwater level. Monitoring was essential to evaluate the impact of the reclamation. A numerical groundwater model is considered as a good tool to help evaluate this impact and to put different schemes for Groundwater management.
The desert area of West El-Minia is considered the most desert area subjected to reclamation in the past twenty years depending mainly on the groundwater extraction though drilled wells. Quaternary aquifer is the most target aquifer for extraction.
The main goal of the study is to build numerical model for the groundwater flow in the Quaternary aquifer of the study area. Groundwater numerical model is the efficient tool to help characterize the over extraction problem and to help find solutions and help decision makers to better plan the sustainable development in these areas.
The aim of this model is to help characterize the Quaternary Aquifer System in the study area and to investigate changes in the groundwater levels during the time span in response to groundwater extraction and try to find solution for the problem of decline of groundwater in this aquifer.
2. Study Area
The study area is an elongated strip located west of River Nile along El-Minia governorate between longitudes 30˚25'00"E and 30˚52'00"E and latitudes 27˚40'00"N and 28˚40'00"N, its area amounts to 5300 km2 (Figure 1). The area is arid to semi-arid, hot climate, dry, rainless in summer, and mild with rare precipitation in winter. The rainfall average value for the last 15 years ranged from 23.05 to 33.15 mm/year, while the evapotranspiration at
Figure 1. Location, geomorphology and digital elevation model of the study area. (a) Nile flood plain; (b) Desert fringes; (c) Limestone plateau.
El Minia is 4897.91 mm/year  . The average temperatures during January are 4.5˚C to 20.5˚C and 20.5˚C to 37.7˚C during August. Relative humidity is varying from 68% in January to over 70% in June  .
The River Nile runs between two high calcareous plateau bounding it to the east and west sloping from south to north with about 0.1 m/km  . The Nile flow along the eastern part of the Valley; therefore, the cultivated area is wider in the western part than in the east (Figure 1).
3. Geomorphological and Geological Setting
Geomorphologically, there are three units dominated in the study area, from west to east as follow (Figure 1):
a) The limestone plateau, is structurally formed, composed mainly of limestone covered with alluvial deposits of sands and gravels and bounds the Nile Valley from the east and west.
b) The old alluvial plain, is adjacent to the cliff of plateau and it includes new desert reclamation lands as well as scattered urbanized areas in the western side of the valley and it is irrigated by groundwater.
c) The young alluvial plain, occupies the area adjacent to the Nile bank between the River Nile and old alluvial plain. It represents the old agricultural areas irrigated with surface water diverted from the Nile and from main canals such as Bahr Yousef. Generally, the land surface drops gently in longitudinal direction (northward) while the lateral slope towards the Nile (eastward) is very high.
The stratigraphic succession in El Minia area is essentially represented by sedimentary rocks (Tertiary and Quaternary). The surface geologic map of the area is shown in Figure 2. The stratigraphic sequence is built-up of from top to base as follows  :
a) Holocene deposits represents in Nile Silt, mainly occupied by cultivated land of Nile valley except small areas in extreme west of the valley. Its maximum thickness reaches 15 m in the middle of the Nile valley. Undifferentiated sediments, recently formed, cover the study area such as sand dunes and Fanglmerates.
Figure 2. Geological map of the study area (modified after  ). Line W-E represents a geological cross section in El-Minia area (see Figure 3).
b) Unconsolidated sands and gravels (Quaternary deposits) intercalated with clay lenses. The thickness increases generally in the direction of the Nile. It is partially saturated with groundwater. Undifferntiated deposits such as sand dunes, wadi deposits and Fanglomerate are distributing in different localities in the area.
c) Pliocene Clay bands, deposited during the transgression of the Pliocene sea into the old eroded valleys of the Eocene limestone plateau  .
d) Oligocene-Pleistocene gravel and sand, covers a wide area and composed mainly of gravel, sand and limestone fragments varying in size with dark brown color, its maximum thickness reaches 200 m in the western portion. It is considered as a good local aquifer in the desert fringes.
e) Qatrani Formation of Oligocene, consisting of a sequence of alternating clastics, siltstone and clay stone. It overlay the Eocene limestone and occupied the western part of western plateau.
f) Limestone of Samalut and Minia Formations (Mokattam Limestone group), represent one of the main water bearing formation in the area. It is chalky and dense limestone, contains fissures, fractures, and joints, which all construct the conduits of the groundwater system.
g) Tertiary volcanic basaltic are recorded in some localities in the area. It was detected that the Tertiary volcanic basalts dyke intruded into the chalky limestone aquifer that enhance the interconnection of the, fissures, joint and fracture systems  .
h) Structurally; the Nile valley is bounded by wrench faults that more or less parallel either to the Gulf of Suez or Gulf of Aqaba directions (Youssef, 1968). They area of normal type trending NW-SE. They play a great role in recharging the Middle Eocene Limestone Aquifer  .
4. Hydrogeological Setting
In the study area, groundwater is considered as a part of the regional Nile valley aquifer systems. Two aquifers are recognized, Quaternary and Eocene aquifer (Figure 3). Quaternary aquifer, has a wide areal extension, especially on the western side of the Nile Valley. The aquifer is formed of a relatively thick formation of Quaternary alluvial deposits composed of sands and gravels intercalated with clay lenses. The aquifer is overlain by Holocene Nile silt and sandy clay extending into a semi-permeable to impermeable layer. The thickness of the Holocene silt and sandy clay layer varies from zero (at the fringes) and 16 meter (near the Nile) with an average thickness of 9 - 10 meter. The top layer receives water from both the infiltration of return flow after irrigation of the agricultural lands and from subsurface seepage through banks and beds of the irrigation canals and conduits. The Quaternary aquifer has a large extension in the north-south direction. It is recorded on an impermeable bed at the bottom which is formed of Pliocene clays. It is limited from the east and west and rests unconformabley on Middle Eocene Limestone  . The thickness of the aquifer decrease from 200 m below the Nile to a few meters towards west and east  .
The Middle Eocene limestone water bearing formation, underlies the Quaternary aquifer and overlies the Nubian sandstone water bearing formation. The Eocene aquifer occupies the extreme eastern and western sides of the study area. Eocene limestone aquifer unit is represented by Samalut formation and is made up of hard, white,
Figure 3. General hydrogeological cross section in El-Minia area  .
highly fossiliferous limestone with shale and marl intercalations. Eocene limestone is fractured and is probably affected by network of faulting system  .
The strategy is to first simulate the regional flow pattern with a coarse-grid model, then create a second, local-scale model with a finely spaced grid for the area of interest. The models are nested, by taking simulated heads from the regional model and applying these along the edges of the local model as boundary conditions. This strategy, known as telescopic mesh refinement (TMR), reduces the computational burden while providing the necessary detail in the area of interest. The study area is a part of the great desert area west of El-Mina governorate. In the present study, the regional model include the desert area West of El-Minia governorate while local model represent the development area which named “West El-Minia” area.
The three-dimensional groundwater flow computer code (MODFLOW) has been used for numerical modeling of the groundwater flow regime in the study area. The MODFLOW software is originally developed by the US Geological Survey (USGS) in the 1980s  . MODFLOW is able to simulate steady state and transient flow conditions in one, two and three dimensions. Some model assumptions are stated as that: The density of the fluid is constant; water movement can be in three (orthogonal) directions (x, y, z) and properties within a cell are assumed to be homogeneous.
6. Conceptual Model
The regional model extends approximately 127.5 km in a north-south direction and 45.5 km in east-west direction. The model is discretized into a uniform grid with square blocks with a side length of 500 m (UTM WGS 1984, zone 36N 30E). The model grid is designed as 255 rows by 91 columns in each of the model layers. The northern and southern boundaries are represented as specified head boundary condition. It is determined using the known head values in the aquifer obtained from hydrogeological data collected from the previous studies or field works. The eastern and western boundaries are represented by the no-flow conditions. It is represented by the eastern and western calcareous plateau. MODFLOW simulate this type of boundary by assigning inactive cells. The conceptual model of this regional model is shown in Figure 4.
The model grid of the regional model was refined by two where the dimension of each cell in the TMR models was 250 × 250 m. The initial and boundary conditions for TMR models are obtained from the regional model results. The western boundary is no flow, the eastern, northern and southern boundaries were assigned as constant head boundaries. The TMR models were extended little far from the development areas to maintaining a buffer zone between the area of interest and the edges of the local model in order to avoid the strong effect of
Figure 4. Schematic section showing the conceptual model of Quaternary Aquifer in El-Minia area.
the constant head boundaries. The pumping wells, the recharge rate and the observation wells for each area are keeping the same as regional model.
Rivers and canals (Rive Nile, Ibrahimia canal, Bahr Youssef canal and irrigation canals) were simulated in the model by general head boundary conditions. The river stage and conductance of the rive cell is the most assigned parameters of any River cell.
Quaternary aquifer is recharged by infiltration from the irrigation distribution system and excess applications of irrigation water. Due to the lack of information about distributed recharge in the study area, the recharge value was taken from literatures.
  used the recharge value of 200 mm/year representing the young alluvial plain of their models about certain area in the Nile valley of Upper Egypt, this value is controlled by the top silty clay layer which vanishes in the desert areas. In the desert areas, the recharge value represents a portion of applied irrigation water.  assume the recharge represent 22% - 33% from the total applied water in the desert areas of semi-arid regions. In this model, recharge value was calibrated as 2 mm/year in the young alluvial plain and 29% of the total extracted water in the desert areas.
7. Model Calibration
The calibration process typically involves calibrating to steady state and transient conditions. With steady-state simulations, there are no observed changes in hydraulic head with time for the field conditions being modeled. These simulations are needed to narrow the range of variability in model input data since there are numerous choices of model input data values, which may result in similar steady-state simulations. Models may be calibrated without simulating steady-state flow conditions, but not without some difficulty. So, calibration refers to the procedure of adjusting model parameters to match observed data. The model is then verified. Verification is the process of taking the calibrated model and testing it against an independent set of data without changing model parameters. Table 1 shows the initial and calibrated parameters for the modeled area.
The calibration in the steady state has been conducted through hydraulic head data as at 1990. Calibration target of this work is to calibrate the hydraulic conductivity and river bed vertical conductivities. The initial head necessary for transient model was extracted after steady state calibration. Calibration process produced an acceptable comparison between observed and calibrated heads (Figure 5).
As a result of calibrated regional model, acceptable agreement between the calculated and observed hydraulic heads were obtained (Figure 6).
8. Predictive Scenarios
The TMR prediction models were used to evaluate different possible future development scenarios for the study areas as an attempt to explore the response and sustainability of the aquifer under different extraction schemes. The predictive simulation time should not be extended into the future more than twice the period for which calibration data are available  . For all applied scenario, the ratio between recharge rate and extraction rate concerning the Quaternary Aquifer is keeping constant.
Table 1. The initial and calibrated parameters for the modeled area.
Figure 5. Calculated versus observed heads calibration for the steady state regional model by year 1990.
Figure 6. Calculated versus observed heads calibration for the transient regional model (1990-2013).
8.1. Status Quo Scenario
In this scenario, the present recharge rate as well as the extraction rate (according to end of 2013) are keeping constant during the prediction simulation time to evaluate the effect of the present status on the near future. The results of this scenario show that there is a considerable drawdown in hydraulic heads in all the modeled area increasing in the locations in which the pumping wells are concentrated and decrease far away resulted in forming cone of depression (COD) of elongated shape from north to south surrounding the major accumulation of pumping wells (Figure 7). Also, this drawdown decrease adjacent to the border of the fringes due to the continuous recharge by groundwater inflow through the eastern boundary of the all modeled area. This recharge increase by more pumping due to the increase in the hydraulic gradient between the eastern parts of the modeled area and adjacent areas outside the model.
Due to the above results and discussion of the aquifer response to this scenario, it can be concluded that present groundwater withdrawal from the QAS could not be safely predicted for more than 50 years and more scenarios should be applied for groundwater management.
8.2. Carbonate Aquifer Feeding Scenario
In the locations which Quaternary aquifer has low saturated thickness, Extract water by drilling wells in the Eocene Carbonate aquifer is predominant. These wells extract water from Eocene aquifer for agricultural purposes feeding the Quaternary aquifer.
In this scenario, the recharge from Eocene carbonate water was increased by quarter and half of the present rate as a response to the increase of new cultivated lands which depend on the Eocene carbonate water in the modeled areas.
The proposed location of recharge is divided up in the unreclaimed areas and promising areas for development especially in the western part of the study area considering that each feddan (acre) require 10 - 20 m3/day and the total amount of recharge is approximately 3780 - 4200 mm/day per each feddan  . The resulted drawdown are shown in Figure 8.
This scenario is considered the most promising scenarios can be used as a way to groundwater management, the results of this scenario should be taking as a positive mark toward a groundwater management in the study area.
9. Groundwater Management
The results of the different scenarios applied show that the most optimum and safe groundwater extraction rate reaches 279,720 m3/day which represents 180% of the present extraction rate. The resulted drawdown in
Figure 7. Predicted drawdown of the status Quo Scenario. (a) After 15 years; (b) After 30 years; (c) After 50 years.
Figure 8. Predicted drawdown of the carbonate feeding scenario with (a) percent of 50% (b) percent of 100% of the present feeding rate.
Figure 9. (a) The predicted drawdown and (b) the percentage of depletion from the saturated thickness after 50 years, resulted from applying the management scenario (extraction rate equal to 180% of the present Extraction rate).
From the previous management scenarios and from the resulted maps, it is noticed that the most areas that are affected by groundwater withdrawal are those which are located in the western part of the studied areas. This is because near to the limestone plateau the quaternary aquifer has low saturated thickness and in some parts the aquifer is dry.
Figure 10. (a) The predicted drawdown and (b) the percentage of depletion from the saturated thickness after 50 years, resulted from applying extraction rate more than the management scenario (extraction rate equal to 200% of the present Extraction rate).
Also, it should be emphasized here that it is recommended to drill the wells of Quaternary aquifer as far as possible from limestone escarpment because near to the plateau the water quality of the Quaternary aquifer is characterized be high dissolved solids as it affected by leaching sediments of the calcareous limestone of the plateau.
10. Conclusion and Recommendations
Drilling more wells that penetrate the carbonate aquifer plays an important role in the recharge of the Quaternary aquifer by applied water of irrigation. It can be stated a few recommendations as follows:
2) Increase public awareness for proper use of ground water resources.
3) It is recommended to drill wells in the Eocene Carbonate aquifer because it makes as a recharge source for Quaternary Aquifer in the study area.
4) The total extraction rate per day should not excess 279,720 m3/day in all of the study area for the upcoming 50 years in order to save the concerned aquifer from depletion.
Authors gratefully acknowledge the Egyptian agencies RIGWA and RIGW for their help and supporting with data. Deep thanks to the research group of Hydrogeophysics and NDT modeling unit, university of Oviedo, Spain for their help.
 Korany, E., Sakr, S., Darwish, M. and Morsy, S. (2006) Hydrogeologic Modeling for the Assessment of Continuous Rise of Groundwater Levels in the Quaternary Aquifer, Nile Valley, Egypt: Case Study. Proceedings of the 8th International Conference on the Geology of the Arab World (GAW8), Cairo University, July 2006, 703-711.
 Abou Heleika, M.M. and Niesner, E. (2008) Configuration of the Limestone Aquifers in the Central Part of Egypt Using Electrical Measurements. Hydrogeology Journal, 17, 433-446.
 McDonald, M. and Harbaugh, A.W. (1988) A Modular Three-Dimensional Finite Difference Ground-Water Flow Model. In: Techniques of Water-Resources Investigations, Book 6, U.S. Geological Survey, 588.
 Jimene-Martinez, J., Candela, L., Molinero, J. and Tamoh, K. (2010) Groundwater Recharge in Irrigated Semi-Arid Areas: Quantitative Hydrological Modelling and Sensitivity Analysis. Hydrogeology Journal, 18, 1811-1824.