Project Objectives
In the interior scope of work that still needs to be done to implement the water resource management process in Nablus Municipality, the research objectives are:
a. Studying the existing structure in water resource management, and assess if the current implemented system is optimal or not.
b. Improving the efficiency of water resources system to have the optimal amount of water pumped to the people with the lowest cost (especially the cost of electricity as we will see in methodology chapter.
c. Reducing the operational cost through the network.
Taking into account the risk of circumstances change and bearing in mind the “What If” likelihoods
Water Resources Management
There are various problems in the water resources management, and these problems necessitate an effective optimization tool, so there is the ability to fully characterize the transactions in the network. Recently, different optimization approaches, which are mainly based on mathematical programming and on evolutionary computation, also the application of these approaches came out with many grades of success.
Case Study: Optimization with Gains/Losses Network
In a network, the water flows from a resources of the water to a customer through the links in the network, as also the pumping of the water attains a cost. Water networks always attain losses and gains, so researchers always attempt to catch the optimal values that deliver the least cost.
As Jensen, The essential optimization framework is network flow optimization with gains and losses, sometimes called generalized network flow optimization.
The general mathematical form appears below.
Minimize![]()
Subject to:
![]()
![]()
where Z is the total cost of flows throughout the network; Xi jkis the flow on the kth arc leaving node i toward node j; ci jkis the economic costs or loss of benefits ~agricultural, urban, and operating;bjis the external inflows to node j; aijkis the gains/losses on flows in arc ijk;uijkis the upper bound on arc ijk; and li jk is the lower bound on arc ijk(Jensen, 1980).
The network analysis
This network formed from three different types of nodes there are reservoirs, links and end with pressure zones. A reservoir is the source of the water carried through the network, and basically a reservoir may be built by excavation in the ground or by conservative construction methods such as brickwork or cast concrete. In addition the links that join the network parts together are mostly concrete cylinders that can carry amount of water depending on its volume.
Finally the pressure zone and it’s the last node in the network as also it’s the customer who consumes water, pressure zone, as every customer, has a famine of water that should be satisfied.
The water network encompasses sources of water that feeds the whole net which are the reservoirs, there are n= 12 secondary and primary reservoirs and from now the reservoir is termed as i, (i= 1,…, 12). Also the reservoir has its own ceiling limit which termed as
measured in m3per period.
The Maximum Limit
Each reservoir has its own optimized maximum value, that any pumping in the future will not exceed it,each reservoir’s ceiling quantity is presented in Table (5) below:
Table 5: the reservoirs in the network and the capacity of each one.
|
I |
Reservoir Name |
MQ(m3/month) |
|
1 |
Ein_ Dafna |
29703 |
|
2 |
Northern Reservoir |
32313 |
|
3 |
New_Reservoire |
57313.75 |
|
4 |
Southern |
80933 |
|
5 |
Ein_Bait_Elma |
34615.53 |
|
6 |
Al-juneed |
48678 |
|
7 |
Kamal_Junblat |
25035.65 |
|
8 |
RNE4 |
174725.8 |
|
9 |
Al sumarah |
53677.53 |
|
10 |
Al masaken |
39400.8 |
|
11 |
Aseera |
69685 |
In addition the network ends with destinations or what we can call customers which devours the water carried by the network, it’s the pressure zones, in this network there are m pressure zones and m= 26, equally from now and later the pressure zone labeled by means j as (j=1,…,26).
Table 6 : presure zone demand
|
J |
Pressure zone Names |
The pressure zone j demand m3 |
|
|
|
Pressure zone |
Demand(m3/month) |
|
|
|
1 |
NE1 |
21645 |
|
|
2 |
NE2 |
28098 |
|
|
3 |
NE3 |
25829 |
|
|
4 |
NE4 |
1540 |
|
|
5 |
W0 |
22663 |
|
|
6 |
W1 |
22771 |
|
|
7 |
W-1 |
23080 |
|
|
8 |
W2 |
64747 |
|
|
9 |
W3 |
40565 |
|
|
10 |
W4 |
19448 |
|
|
11 |
S2 |
29663 |
|
|
12 |
S3 |
14507 |
|
|
13 |
S4 |
13207 |
|
|
14 |
S5 |
16253 |
|
|
15 |
E0.1 |
21771 |
|
|
16 |
E0.2 |
35897 |
|
|
17 |
E0.3 |
35440 |
|
|
18 |
SE1 |
21226 |
|
|
19 |
SE2 |
9548 |
|
|
20 |
SE3 |
4355 |
|
|
21 |
C1 |
11663.8 |
|
|
22 |
NW0 |
11664 |
|
|
23 |
NW1 |
6931 |
|
|
24 |
NW2 |
16853 |
|
|
25 |
NW3 |
8800 |
Recommendations:
· Use the modeling as a guide to improve the water pumping system in order to have minimum cost with maximum satisfaction for the current demand estimates.
· These models can be used a first step to generate a short term plans and schedule as well as risk management.
· The resultant Improvement will provide a good amount of cash in the finance department, this will provide the ability for new investments in the network, expanding, changing and maintaining the network.
· Also there will be capability to institute quality control department, in order to have a continuous development in the future, not abandoning that these formulation will provide an efficient method for tracking, controlling and monitoring the network.
· We recommend the Municipality to pay more attention to customers, and try to provide them economical ways and knowledge them about the water importance in order to decrease wasting the most vital thing in the world.
· The most important recommendation, that all the counters on the pumps should be calibrated from time to time, and if needed, replacing with more reliable versions.
