THE APPLICATION OF MATHEMATICAL MODELS IN MANAGEMENT OF AQUIFER

Advanced Medical Sciences: An International Journal (AMS), Vol 5, No.1, February 2018
DOI: 10.5121/ams.2018.5101 1
THE APPLICATION OF MATHEMATICAL
MODELS IN MANAGEMENT OF AQUIFER
Khosrow Shafiei Motlagh and Samad zahermand
Department of Civil Engineering, Dehdasht Branch,
Islamic Azad University, Dehdasht, Iran
ABSTRACT
Before feeling water -shortage crisis human has understood the importance of water From the
religious texts. Considering recent conditions of the world the water will replace most recent
boundaries, at future. Imamzadeh Jaafar plain is located 5 kilometers northeast of Gachsaran, south
of Kohgilooye and Boerahmad province. The plain has 61km 2 area extents and contains two,
alluvial and carbonate aquifers. These aquifers supply the water needs, agricultural, industrial and
domestic. Highly exploitation and transportation of groundwater resources, especially by National Oil
Company, caused highly drawdown in alluvial aquifer, 1.85m in a 5 years period from 1361 to
1365 as reported by Mahab Ghods Consulting Engineers. There are two artificial recharge
projects, 1 flood spreading system and 1 recharge ponds system, in the plain. To present the future
water resources management program the hydrogeological behaviors of the alluvial aquifer and the
effects of artificial recharge must be evaluated. edrock, hydrodynamic coefficients, topography, water
resources and were collected, field surveys were performed and required maps were prepared. Using
conceptual model and MODFLOW PMWIN code the mathematical model of the plain was
calibrated against water year 1380 -81 and then verified against water year 1384 - 85. The verified
model was used to predict future conditions of aquifer. The results implied the rapid response of
aquifer to precipitation due to high aquifer ransmissivity, positive water budget at year 1385
comparing year 65, change of direction of groundwater flow from plain outlet to the center of
plain in response to highly exploitation at the center of plain, water level in the wells located
downward the flood spreading system will raise as 1 to 6m and water level in t he wells located
downward the recharge pond system will lower as 1 to 4m.
KEYWORDS
Ground water, MODFLOW PMWIN, artificial recharge, Kohgilooye &Boerahmad.
1. INTRODUCTION
Groundwater models are often developed to obtain predictions of societal importance. Such
predictions might be the response of an aquifer to future groundwater pumping, or the
groundwater transport of contaminants from a source location. Because the groundwater flow
system characteristics represented in such models are always unknown to some degree, model
predictions are uncertain. To reduce this prediction uncertainty, it is necessary to improve the
model so that it more accurately represents the flow system. However, groundwater models often
represent extremely complex hydrologic and hydrogeological conditions, and because field

2
characterization of these conditions can be costly and time consuming, it is rarely feasible to
improve the representation of all aspects of a simulated system. Thus it is of interest to identify
the particular attributes of a flow system that are most important to the relevant predictions, and
to focus field characterization on these attributes.In this paper, this problem is addressed by
determining the model parameters that are most important to the predictions. Identification of
these parameters can help guide collection of two types of hydrogeological data that are likely to
improve the predictions. First, information can be collected about the values of the important
parameters. Field activities to obtain this type of data include, for example, hydraulic tests for
estimating transmissivity and storability values. Second, data can be collected about features of
the flow system that are related to the important parameters, such as the geometry and internal
variability of a hydrogeological unit associated with a hydraulic conductivity parameter. Field
activities might include geologic and geophysical investigation and interpretation of the extent
and thickness of the hydrogeological unit. Relevance of the proposed method to the second data
type assumes a link between model parameter importance and flow system feature importance.
We recognize that the parameters identified as most important to the model predictions may not
always correspond to the features of model construction that are most important to the model
predictions, but it is expected that there will often be such a correspondence.In the hydrologic
literature, a number of procedures have been developed for improving model accuracy in the
context of model predictions. One body of work focuses on collection of additional observations
or targets used to calibrate a model, such as hydraulic heads, flows, and concentrations [e.g.,
Loaiciga, 1989; Sun and Yeh, 1990; Wagner, 1995; Ely et al., 2000; Hill et al., 2001].
Approaches more closely related to the work presented in this paper are those that address the
collection of direct information about flow system characteristics or about hydrogeologic
property values, for the purpose of improving model predictions. These approaches can be
divided into two broad groups. The first group includes methods for identifying important
locations for additional aquifer property measurements [e.g., McLaughlin and Wood, 1988;
McKinney and Loucks, 1992; Sun and Yeh, 1992]. In these studies, the simulated hydraulic
conductivity fields are estimated from point measurements by some variation of kriging.
Inclusion of new hydraulic conductivity measurements reduces the estimation variance of the
kriged hydraulic conductivity field, which in turn reduces prediction uncertainty.Kohgiloyeh and
Boerahmad province located in southwestern Iran, which is having nearly one percent of the total
area of the iran country is allocated to, an average annual rainfall of 720 mm and 7/11 billion
cubic meters of precipitation . Imam Zadeh Jafar plain located in tropical and arid southern of
Kohgiloyeh province the distance of 5 km North East to Gachsaran sity is allocated to, with an
average annual rainfall of 394 mm and an area of about 61 square kilometers is a part of the study
area of imam zadedh Gafar . The necessity to provide drinking water for Gachsaran city by
WWC and rural and agricultural development, drinking water is part of the village by the Water
and Wastewater decreased ground water level in the years 1983 to1987 7.4 meter and change of
water quality (Mahab 1985). This study aimed to evaluate the effect of artificial recharge of water
spreading methods and ponds recharge, on the water table and Also investigating the Performance
of MODFLOW model in the management and exploitation of groundwater in case study. Also
the study of behavior of the imam zadeh jafar aquifer in various options such as more using from
ground water and nutrition, and program management of water resources and to evaluate the
effect of artificial recharge of on the aquifer plain groundwater of the most important objectives
of this study is more important. . Figure 1 shows the location of the target region in Iran.

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Figure 1. Location of the study area
2. RESEARCH METHOD
In general, started numerical methods, especially finite difference and finite elements for solving
equations and transfer of 1950 the world and and various computer programs were writen and
presented to solve the equations so far, many aquifers were analyzed by this method.Chang et al
(1964) used of a simulation model on investigated several options to achieve the best state of the
economy in a coastal area in Los Angeles, where the influx of salt water to fresh water and
increasing the cost of groundwater extraction had created, general and administrative problems .
Beckrose and Friend (2001) have been simulated groundwater flow and runoff effective on
Avrvmvryn aquifer system in Canada.The history of modeling and simulation in Iran started since
1962, in Varamin plain. Kazemi, Golian 2003) has been simulated Shirvan plain in Ghoochan
evaluated using MODFLOW 2000. Much of the needed information is available from archive of
Kohgiluyeh & Boyrahmad Regional Water Company which have been fixed directly in the field
of control and defects. The required information includes groundwater level model, monthly
measurements of water level observation wells, pumping wells factors hydrodynamics way using
the results of exploration, exploitation of aquifers using inventory data across sources And water
use, land surface topography data using topographic maps of 1: 250,000 and benchmarking
observation wells plain, thick tablecloths and bed rock variations using geophysical studies
drilling exploration wells (2 rings) has been simulated, around the aquifer through the map
geological, geophysical, exploration drilling and field survey and information of rainfall and
Temperature and evaporation and evaporation using rain gauge stations on the ground and
adjacent areas of preparation, study and have been corrected. Finally required data for
MODFLOW model collected and given as input to the model, the model was calibrated stable
and unstable conditions And in different conditions aquifer to verify the under multiple
conditions and recharge and discharge (tapping), simulated aquifer behavior and the effects of
different options, were selected for optimum utilization.Therefore method has been with field
units, library, software computing and information processing and different mapping.

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3. GEOLOGY OF THE STUDY AREA
Imam Zadeh Jafar plain located in the Zagros Fold of geological aspect geological structure of
this plain is simple , light and compact and includes a set of strings of anticlines with trend
northwest-SE axis usually vertical and east. Asmari and Gachsaran formations have most
outcrops in the area and have the most important role in the organization boundaries of the plain
model. Especially Asmari formation have the longest borders and is the most effective
aquifer and make plain on the groundwater level (Figure 2) Geological map shown in Figure 3
Strike of the plain is northwest - southEast and trend of surface water flow in the same
direction. The erosion of plain wrer producted by limestone upstream formations that in the area
of plain and formed to young and old in the recently alluvial. . The ingredients of alluvium are
along the often coarse alluvial fans and the type of stone, gravel, sand and clay plains in the
central region and the exit region with an average particle size of clay and silt plains and usually
fine.
Figure 2: the outcrop of Asmari formation in north of plain
Figure 3. Geological map of the study area

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4. GEOPHYSICAL STUDIES
Plain geophysical studies were performedin 1993 by Consulting Engineers jarfpoya co.
geoelectric method. The project is probing to a depth of 250 meters in 10 sections 86 and takes
the Earth's surface. The results of this work shows, unconfine of the aquifer and to determine the
type of geological formation in the lower alluvial deposits according to their apparent specific
resistance, the depth of bedrock that is variable 20 meters at the plain surface waters up to 220
meters in the central area. edrock of unconfine aquifer is Gachsaran formation, and in parts of the
plain, limestone and conglomerate exotic of Asmari and Bakhtyari. Figures 4 and 5 show that the
topography of bed rock and serface . study unit hydrograph (Figure 6) shows that the level of
water in 76 to 82 downturn to size 5 meters and from 2004 to 2007 to size 23 meters raised water
level of 05/1 and 23/1 meters.
Figure 4. Topography of bed rock of imamzadeh jafar plain
Figure 5. The topography of surface of imamzadeh Jafar plain

6
Figure 6 - unit hydrograph in 2004-2007
5. DATA COLLECTION
One of the most critical steps in modeling is, data collection and information and correcting them.
Because the amount of numerical accuracy, depends on the quality and accuracy of data input and
the ability to provide this data in its natural condition.in simulating of Imam zadeh Jafar aquifer
have been used, from data observed and recorded a total of 18 wells . Location and harvest
amount of groundwater resources determined and calculated using the national inventory report
Abfan Consulting Engineers Water Resources 2003That Using the software package wells (wells)
in Modflow for modeling given with negative number form. Data related to the earth's surface
topography using topographic maps of 1: 250,000 and benchmarking observation wells were
prepared and after grid software surfer moved to model Data related to the earth's surface
topography were prepared using topographic maps of 1: 250,000 and benchmarking observation
wells. The grid is moved. software surfer, the model bed rock of geophysical data have been used
for mapping the plain and drilled exploration wells The results of exploration wells pumping test,
used to determine the hydrodynamic coefficients table and table feeding rate after the budget
calculation, the model is given Column grid rows 48 and 28 there was a total of 1344 cells In
plain network of 1 344 cells, 345 cells and 999 cells as active cells as the cells are considered
inactive Figure 7 shows network built model, location and observation wells, exploitation,
boundary conditions and network active and inactive cells The absence of an entire network with
the appropriate number of wells observed piezometric accurate measurement of the level of the
water table caused by natural boundaries do not match the boundaries of the range model is a
balance way. Thus, the boundaries of the area covered obliged to comply wells have been
observed. Use the map water level in the months of drought and wet years and the balance
calibration model (2002-2003) groundwater inflow and outflow boundaries in 5 sections (two
inlet and outlet section 3) have been determined (Figure 8).

7
Figure 7. Mesh and location of observation wells and boundary conditions.
Figure 8. Boundaries input and output
6. SPATIAL DATA MODEL
This information includes the coordinates of each active cell such as aquifer surface topography
and height of the stone floor. Since the aquifer is a free, The upper boundary of the aquifer layer
to the surface of the Earth According to the observational benchmarking existing wells using
existing elevation points on a topographic map of 1: 250,000, the number more than 120 points
with UTM coordinates and elevation above sea level, networking and surfer by software
interpolation up And elevation contour map drawing and the model is The average height of the
center of each cell is shown in the model. Using data from observation wells and geophysical
reports Plains (dynamic deep Consulting Engineers), coordinates a number of points, by the use
of software surfer and networking and interpolation methods in which the stone floor elevation
map was produced and the model is transferred.

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7. MODEL VERIFICATION AND IMPLEMENTATION
Verification of the model, true or false composition determines the parameters used in the
model. In the period of testing, no change in the parameters of hydraulic conductivity and
specific yield has not been established and there has been a change in the time-dependent
variables. True measure of validation, calibration is similar. Time-dependent variables,
including precipitation, and consequently the rate of aquifer recharge and the amount of water
taken from the aquifer are. In order for the model to be examined in conjunction with hydraulic
coefficients, the calibration and validation of 81-80 years to 85-84 years was conducted. The
results of this step are shown in Figures 3-28 numbers. As compared to the values measured or
predicted by the model, in different piezometers indicate that the model has good ability.
Figures were below 9.
Figure 9. The results validate the model

9
In terms of commodities in tight Nasser artificial feeding, unit hydrograph increase in water level
will form three meters (10).
Figure 10. Water level changes with the implementation of artificial recharge of Tange Nasser
8. CONCLUSION
Due to the damage and side effects of decline in groundwater levels in alluvial aquifers, in the
long run, even with artificial recharge of water, is not compensated, therefore is mainly applied
and performance as follows:- Due to investments in projects of the pool, it is suggested to
increase the permeability of layer-clearing tanks and ponds do Gyrd.- New interpretation or
construction of any new project in this desert using the results of the model Gyrd.-Wells in the
plain view of the lack of appropriate distribution at the outlet surface so plain, North West at least
6 wells drilled in the stone floor Grdd.- Scientific principles and existing exploration wells
pumping tests to determine the alluvial aquifers hydrodynamic coefficients - Due to being a part
of the groundwater to drinking oil company outside of the shrine Parsley and water is not returned
to the table, Oil companies need to provide drinking water through the dam reservoir Amazadh J.
Kosar and allocation of groundwater and drinking in certain circumstances it is recommended to
industry.
ACKNOWLEDGEMENTS
I would like to thank research deputy of Islamic Azad university, Dehdasht branch for supporting
REFERENCES
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aquifer hydraulic properties", J. Hydro., Vol. 284: 270-284.

10
[5] Kazemi Golian, r., 1381, "hydrogeological assessment and management of Shirvan, Quchan using
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AUTHOR
Email: kh_shafieimotlaq@yahoo.com
PhD in Water Resources
Civil and Science Department, Faculty member of engineering and technical, Islamic Azad
University, Dehdasht Branch, Dehdasht (Iran)
Ph:07432261628 - 0743228939
Fax: 07443228939
Mobile: 09173424223
Khosrow Shafiei Motlagh- Born in 1974- Zargham Abad- Dehdasht – Iran
Faculty member of Islamic Azad University Dehdasht Branch- Dehdasht- Iran
Diploma: Empirical Sciences – Shahid Beheshti high school -Dehdasht- Iran
Associate: Empirical Sciences – Izadpanah Teacher trainnningigYasouj- Iran
• Bachelor: Applied Geology – Shahid Chamran university- Ahwaz - Iran
• Master's Degree: (Groundwater) - Zahedan - Iran
• Ph.D. of Water Resources Engineering- Tehran University of Science and Research –Tehran- Iran
• Judicial expert in water engineering- yasuj- iran
• Member of Mining Engineering Organization of Kohgiluyeh and Boerahmad Province- iran

THE APPLICATION OF MATHEMATICAL MODELS IN MANAGEMENT OF AQUIFER

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