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Article

Sustainable Water Generation on a Mediterranean Island in Greece

by
Guillermo Fernández-Gil
and
Fontina Petrakopoulou
*
Department of Thermal and Fluid Engineering, University Carlos III of Madrid, Avda. de la universidad 30, Leganés, 28911 Madrid, Spain
*
Author to whom correspondence should be addressed.
Energies 2019, 12(22), 4247; https://doi.org/10.3390/en12224247
Submission received: 8 October 2019 / Revised: 29 October 2019 / Accepted: 4 November 2019 / Published: 7 November 2019
(This article belongs to the Section B: Energy and Environment)

Abstract

:
Population growth, increasing droughts, and high irrigation needs are all factors that create freshwater shortage problems on islands. The pressing needs of remote islands usually call for water transport from the mainland or other neighboring islands, at a high cost. This study evaluates the design and economic viability of an alternative, sustainable water supply network on the Mediterranean island of Skyros in Greece. The proposed water supply system provides the island with potable water from desalination units, as well as water for agricultural use from a wastewater treatment plant. The total investment cost of the project is found to be €9.8 million, accounting for the cost of transportation of the water between the different settlements (installation, operations, and maintenance), as well as for the required energy of the involved methods. It is found that 44% of the expenses are related to the transport of potable and residual water, and 52% of the cost corresponds to the production of the required desalinated water. As part of a sustainable water and energy network, all energy needs of water generation are assumed to be covered by a renewable power plant. The total cost of water generation on the island with the proposed system is estimated at 2.49 €/m3, constituting a competitive and more sustainable solution, when compared to current practices.

1. Introduction

Freshwater shortage is an important challenge that society will face in the near future. This problem will be even more accentuated in remote areas (e.g., geographical islands), where already limited local water resources increase the cost of water [1]. In this kind of geographically isolated areas with increasing water demand, there are only a few existing alternatives for water management. These options are usually reduced down to desalination, wastewater treatment, and transportation of water from the mainland.
With most of the water available around us being saline, desalination technologies offer a way to convert this seawater and make it appropriate for human consumption. However, desalination is, nevertheless, an energy-intensive process [2]. Currently, the energy requirements of most desalination plants are met with fossil fuels, while only around 1% of the water generation from desalination in the world is based on renewable energies [2]. Two environmental impacts usually associated with desalination processes are, first, the generation of greenhouse gas emissions from the use of fossil fuels and, second, the discharge of generated brine. Thus, it is of essential importance that engineers and experts scout alternative procedures that are more efficient or use renewable energy to support the generation of desalinated water. Furthermore, in order to promote water reuse and decrease the environmental impacts of desalination, wastewater processes must also be accordingly incorporated into sustainable water supply plans. Since 2011, several Greek towns were equipped with wastewater reuse systems due to the introduced "Urban Wastewater Treatment Directive" (271/91) [3]. However, there remain numerous populations in the state that can still benefit from this type of onsite treatment systems [3]. Although there is currently no water reuse on Aegean islands, this technology can play a very important role in the development of sustainable water strategies for the wider region.
This work includes the study of the water self-reliance of the Mediterranean island Skyros. Skyros belongs to the prefecture of Euboea and is in the region of central Greece (right panel, Figure 1). The island is located in the southernmost part of the group of the Sporades islands of the Aegean Sea [4], and it is the largest island (208,594 km2) of the region. The climate on the island is Mediterranean, with dry summers and mild winters. Although there is frequent presence of clouds, rains are quite scarce throughout the year, which aggravates drought situations [5]. According to the latest available census, Skyros has 2994 inhabitants distributed in 19 different settlements [6].
Presently, most of the water supply of the island comes from a local source called Anavalsa, located at the northeast part of Skyros. The source provides a flow of 2400–2600 m3/day [4]. Although the amount of water on Skyros is sufficient, its quality in most of the settlements of the island is considered relatively low. When the water demand cannot be satisfied with available water resources, it is covered by water transported from the mainland or neighboring islands, at high cost [7]. Increasing water demand is expected to further aggravate water availability issues in the future [2]. The proposed sustainable water network in this work was designed to generate the full amount of future water demand on the island. The economic feasibility of the project was examined through a detailed economic analysis. All energy requirements for the water network were assumed to be covered by renewable resources (theoretical study presented in [8]).
The importance of this work lies on the fact that it provides an example for how to deal with limited freshwater accessibility in remote places using sustainable methods. Remote communities often apply conventional approaches that accentuate their dependency on the importation of expensive resources. A sustainable, locally-based, and self-reliant water generation system, like the one proposed here, can constitute a valuable social and economic resource to overcome this problem. In order to propose a water network, easily transferrable to other islands without local water resources, the proposed design of the new water supply for Skyros does not account for any existing water sources on the island.

2. Methods

The proposed water supply network generates the necessary water in desalination and wastewater treatment plants. The study followed the latest European policies and standards concerning water resource quality [9,10,11]. The island was divided into four water zones based on conditions of proximity and topographic characteristics. The four defined water zones and the island location in the country can be seen in Figure 1.
The increase in the population and water demand was extrapolated using literature data. The demand was estimated for the next 20 years, called design period [12,13], and the population growth was calculated according to the law of the decreasing rate of increase [12,14]. This law states that every population saturates to a constant population, and its growth rate is thus a function of the population deficit. Nevertheless, when calculating future water demand, one should also consider the increase of the per capita demand, along with population increase. Combining the decreasing rate of population increase with an exponential expression [12] of the water demand due to population increase, the future water demand was estimated, as shown in Figure 2.

2.1. Water Network Design

The water network on the island includes water transport over long distances in pipelines. There are two types of water transmission lines: (a) pumping main, if the flow of a transmission line is maintained by creating a pressure height by pumping, and (b) gravity main, if the flow is maintained through the elevation difference between two points. Pumping systems can be designed for any topographic configuration, while gravity systems are only feasible if the input point is at a higher elevation than all of the withdrawal points. If the elevation difference is too small, the system may not be economically feasible since the required diameters of pipelines are too large [12].
In the case of Skyros, in configurations with a height difference greater than 60 meters, gravity systems were chosen. In all other cases, pumping mains were used. The placement of the different components constituting the water system (pipes, wastewater treatment plants, and desalination plants) was carefully chosen to avoid any environmentally important areas on the island [4].

2.2. Desalination Plants

Four different desalination technologies were evaluated using the desalination economic evaluation program (DEEP) developed for the IAEA (International Atomic Energy Agency). This software allows designers and decision makers to compare the performance and cost estimates of different energy and desalination configurations. The desalination technologies included in the analysis here were multi-stage flash distillation (MSF), multiple effect distillation (MED), thermal-vapor compression (TVC), and reverse osmosis (RO) [15].

2.3. Wastewater Treatment Plants

There are numerous applications for which reclaimed water can be used. Wastewater treatment systems have to be tailored according to their final use. Since the industrial activity on islands is usually very low (considered zero in the present study), most of the reclaimed water is generated to be used in agricultural applications. Previous projects on reclaimed water realized for case studies in Greece were used as references [3]. The minimum and maximum treatment requirements were determined according to the final use of the water and water quality regulations. The different water quality requirements used in this work are shown in Table 1.
Wastewater on the island comes from relatively small communities. The infrastructure considered includes vacuum collection systems, treatment facilities [16] (bar screen, grift chamber, clarification, activated sludge, depth filtration, chlorination), and advanced facilities for water regeneration and storage [17]. Currently, wastewater collection on Aegean islands is based on conventional gravity sewers. Unfortunately, these old systems are susceptible to infiltration and exfiltration, mainly due to poor construction and problematic connections. In this work, systems with vacuum collection (Figure 3) are used, since the topography of the island matches the requirements of the system perfectly (mainly flat surface) [17].

2.4. Economic Analysis

An economic analysis was realized for all of the different technologies involved in the study and it was based on assumptions related to experimental data, as presented in Table 2.
To estimate the cost of water transport on the island, a series of cost functions were used. First, a distinction is made between pumping and gravity mains [12,20]. For the first case, the cost function, expressed by Equation (1), depends only on the optimal diameter (D in meters) and the length of the pipe. In this equation, ε is the roughness height of the pipe wall (assumed 0.25 mm for ductile iron), ν is the kinematic viscosity of fluid, L is the pipe length, Q is the discharge, and hf is the head loss due to surface resistance. The final cost function for a gravity main is given by Equation (2), where Cm is the total cost in euro.
D = 0.66 { ε 1.25 } 214.75 ν L Q g h f 6.25 + ε 1.25 L Q 2 g h f 4.75 + ν Q 9.4 L g h f 5.2 0.04 ,
C m = 1320 D 0.866 1 + D 0.2 9.7 0.08 .
In the case of gravity mains, Equation (3) was used. This equation relates the diameter of the pipes with the pumping power needed to find the optimal ratio (by iteration). In this equation, km represents the pipe cost coefficient, m is a pipe cost exponent, ρ is the density of the fluid, λ is a Lagrange multiplier, z0 and zL is the nodal elevation at input and supply points, respectively, and H is the minimum prescribed terminal head. Partially differentiating Equation (3) with respect to the pumping head (h0) and simplifying it, one obtains the equation for finding the optimal diameter in pumping mains. This is expressed by Equation (4), where R is the Reynolds number. Assuming an arbitrary value of the friction factor f, the optimal diameter is calculated. Knowing the diameter, an improved value of f is obtained with Equation (5). Using this value of f and repeating this process until two successive values of D are very close (with an error of 1 cm), the final optimal diameter and the corresponding friction factor are obtained.
F = k m L D m +   k T ρ g Q h 0 + λ 8 f L Q 2 π 2 g m k m h 0 z 0 + H + z L ,
D = 40 λ k T ρ f Q 3 π 2 m k m ,
f = 64 R 8 + 9.5 l n ε 3.7 D + 5.74 R 0.9 2500 R 6 16 0.125 .
The investment costs of the studied desalination processes (MSF, MED, TVC, RO) were estimated using the DEEP [15]. The energy costs of the processes were determined through the simulation of the necessary desalination plants for each water zone. It was found that the most economically-viable solutions for the two main water zones are an RO plant for Zone 1 and an MED plant for Zone 2, as shown in Figure 4. All data related with these calculations can be found in Appendix A.
To propose an overall sustainable energy–water network, the energy needs of the desalination plants are covered by a renewable hybrid power plant. The most suitable plant was selected among the three different alternatives analyzed in the theoretical study presented in [8]. The capacity of the renewable power plants in [8] was expanded to generate a surplus of thermal energy equal to that required for the desalination by distillation. Among the alternatives of [8], the plant that combines wind turbines with a photovoltaic (PV) system was chosen because it was found to provide the cheapest energy price (Appendix A). The initial cost of electricity [8] was calculated through a detailed economic analysis, accounting for all investment and operational and maintenance costs for the generation of the required electricity. The final price of electricity was calculated including the expansion costs of the power plants and the price of the required thermal energy. These calculations are presented in Table 3.
The economic analysis of the wastewater systems was based on [7], where the cost of the systems is expressed in units per volume of water. As in many industrial processes, the cost per unit of volume is a negative function of the size of the process. Three ranges of plant capacity are accounted for (100–1000, 1000–2500, and 2500–5000 m3/day), each of which is associated with a different cost per volume unit. The investment costs of pumps, buildings, reservoirs, desalination plants, pipes, and treatment parts are costs that take place at the time of construction, while energy and maintenance costs take place every year. To add these two types of costs, the annuity method, which converts fixed investment costs into recurring costs, was used [12,21,22].

3. Results and Discussion

3.1. Water Networks Proposed

3.1.1. Zones 1 and 2

In Zones 1 and 2, the central core of the system that supplies drinking water to the towns is based on desalination plants. Secondary water demand is covered by a wastewater network. The suggested arrangement for the transport of desalinated water is presented on the left panel of Figure 5. The connections between the towns are carried out by conditions of proximity. The pipes used are unidirectional, while the water system includes water storage in each town, necessary to rectify any system failures. Wastewater collection systems consist of lines that start from the towns that are furthest away and end at the treatment plant. This system can be seen on the right panel of Figure 5. Like in the case of the desalination system, the wastewater system also includes unidirectional pipes. The costs of both water systems (Zones 1 and 2), as well as the costs of the generation of desalinated water and wastewater treatment, are shown in Table 4. All related calculations can be found in Appendix B of the paper.

3.1.2. Zones 3 and 4

As an initial design, it was proposed to transport water to Zones 3 and 4 from Zones 1 or 2. However, due to the great distances and the small water volume that needs to be transported, this alternative was found to be economically unattractive. Thus, it was decided to install a stand-alone desalination plant based on reverse osmosis in Zone 3. However, the great distance between this zone and the renewable power plant increases the cost of the available thermal energy. The cost for this desalination plant is calculated to be 747.27k€ per year (investment cost: 1000k€), including operational and maintenance expenses. For Zone 4, which includes only 13 inhabitants, simple alternatives were proposed and presented in Figure 6. Information related to the current stage of development and typical treatment capacities are also shown. Two options were finally studied: solar multi-effect humidification and reverse osmosis with solar PV. The production per unit of volume of the first option is 3.5€/m3, while that of the second option is 10€/m3 [23]. This pricing difference led to the use of a solar multi-effect humidification plant that results in an annual cost of €61,000.
The final estimated cost for the entire water network of the island was found to be €9.8 million. This cost includes the fixed and operational costs of pumps, desalination plants, wastewater treatment, and all other relevant costs during the 20 years of the assumed economic period of the system. After that, the cost is reduced to operational and maintenance expenses.
About 44% of the total costs correspond to water transport and collection (Figure 7). Thus, almost half of the annual cost of the system is due to the logistics required in the small-sized communities and the long distances that separate them. These two factors play a very important role in the final cost of water per volume unit on the island. The other half of the cost corresponds to the production of desalinated water with costs of 2.05, 1.59, 5.63, and 3.5€/m3 in Zones 1, 2, 3, and 4, respectively. These high costs show that there is a need for improvement in the field of desalination technologies, especially for small-scale applications and isolated areas. On the other hand, the advances made in wastewater treatment plants are reflected on their costs, which were found to be 0.2 and 0.4€/m3. It is seen, thus, that these systems can play an essential role in making water supply systems of remote regions economically feasible and sustainable.
The methodology used to design the proposed water network can be applied to other remote regions and geographical islands with similar climatic and geomorphological characteristics. For example, most of the islands in the region suffer from limited or close-to-zero availability and low quality of local water resources, thus facing the same challenge. The system proposed here was designed to cover the total water demand of the island without considering local water resources, constituting results more easily relatable to other case studies with similar characteristics. Furthermore, in order to obtain a better idea of the economic feasibility of the proposed project, the annual monetary volumes were linked to the annual water demand of the island and the water price per unit volume was calculated. The water price was estimated at 2.49€/m3, a price considerably lower than prices of about 3.5€/m3, reported in previous water production projects on Greek islands with RES (renewable energy source) desalination technologies [1]. Overall, it is expected that projects related to the development of robust and sustainable water and energy networks will drive policy measures that support the use of local resources and, through that, the social prosperity of smaller, isolated communities.

3.1.3. Comparison with Current Situation

Currently, the island uses water from the local source Anavalsa, the unique natural water resource in the island. However, due to the inadequate water quality, large amounts of water are imported from the mainland. To estimate the volume of water imported to Skyros, the Greek island Symi, with 2590 inhabitants, was used as reference. About 120,000 m3 are shipped to the island every year at a cost sometimes exceeding the value of 7€/m3 [1]. It is expected that this trend will grow with increasing population since imported water is the only solution available to islands with limited natural resources. In addition, although Skyros is a relatively unexploited island today, it is expected to further develop its tourism activities (like other surrounding islands). The increase of tourism could further aggravate water shortage problems on the island. Additionally, water transportation involves the consumption of fossil fuels, associated with a considerable carbon footprint. Therefore, renewable, long-term, and economically attractive alternatives, like the one proposed in this work, are expected to highly benefit the island, which is currently served by unsustainable, short-term solutions.

4. Conclusions

Water demand on the Mediterranean islands has been steadily increasing in the last decade, as a result of population growth, new holiday homes, and the increase of living standards. These factors lead to the destabilization of past practices for obtaining water. However, the construction of specific, local projects for each remote island is usually avoided due to the relatively high initial investment cost.
In this work, we proposed a water generation and distribution system to cover the potable and agricultural water needs of the island of Skyros in Greece. Potable water was generated using desalination units, while water for agricultural needs was provided by a wastewater treatment plant. The total investment cost of the project was found to be €9.8 million. It is seen that approximately 44% of the expenses are related to the transport of potable and residual water, and 52% of the cost corresponds to the production of the required desalinated water. This result emphasizes the need for improvement of desalination processes, especially of low-flow and isolated plants. The total cost of water generation of the water supply system was found to be 2.49€/m3, which is significantly lower than the current cost of imported water. Furthermore, many improvements of the involved technologies are expected in the future, especially in the areas of desalination and water transport. This kind of project therefore holds promise for converting water-deprived islands into self-sufficient remote regions by providing long-term solutions to an evidently prominent problem.

Author Contributions

Conceptualization, F.P.; methodology, G.F.-G. and F.P.; investigation, G.F.-G.; writing—original draft preparation, G.F.-G. and F.P.; writing—review and editing, F.P.; supervision, F.P.

Funding

Fontina Petrakopoulou is funded by the Ramón y Cajal Programme of the Spanish Ministry of Science, Innovation and Universities (Grant no. RYC-2016-20971).

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A

This appendix shows the costs of electricity and thermal energy produced by the renewable power plants studied in [8] after their enlargement to cover the energy input of the desalination units on the island. The thermal power required for desalination is 6 MW or 2 MWel when converted using an efficiency of 33 percent.
Scenario 1 [8] consists of the hybridization of a concentrated solar power plant (CSP) including thermal energy storage with wind turbines supported by electrical storage. Scenario 2 proposes the hybridization of a photovoltaic plant (PV) with wind turbines, supported by electric energy storage and hydrogen generation. Scenario 3 consists of the same combination of plants as in scenario 2 but with a hydroelectric pumping station. In all these cases, the expansion of the plant is made in the part corresponding to solar energy (CSP or PV).
The following tables show the economic results provided by the plants before (left part) and after their extension (right part). In the last two tables, it can be seen that the most economically viable configuration is the second option.
Table A1. Results of economic analyses.
Table A1. Results of economic analyses.
Scenario 1
Current plantConcentrated solar power plant (CSP) Plant after the enlargement
PFI*41,449,819PFI50,957,419
Price/kW5282€/kWPrice/kW5282€/kW
Power7.847MWPower9.647MW
Terrain cost916,000Terrain cost1,126,108.556
Terrain183,200m2Terrain225,221.7111m2
Hybrid plant Hybrid plant
Rest of the plants (cost)15,568,922Rest of the plants (cost)15,568,922
Total PFI57,018,741Total PFI66,526,341
TRR*10,168,125€/yearTRR11,565,249€/year
Energy supplied25,000MWh/yearEnergy supplied25,000MWh/year
Terrain cost total1,519,255Terrain cost total1,729,363.556
Price of electricity406.725€/MWhPrice of electricity462.609€/MWh
Scenario 2
Current plantPV Plant after the enlargement
PFI17,915,100PFI20,985,900
Price/kW1706€/kWPrice/kW1706€/kW
Power10.501MWPower12.301MW
Terrain cost617,645Terrain cost723,514.588
Terrain123,529m2Terrain144,702.917m2
Hybrid plant Hybrid plant
Rest of the plants (cost)37,534,371Rest of the plants (cost)37,534,371
Total PFI55,449,471Total PFI58,520,271
TRR9,610,162€/yearTRR10,066,939€/year
Energy supplied25,000MWh/yearEnergy supplied25,000MWh/year
Terrain cost total1,807,940Terrain cost total1,913,809.589
Price of electricity384.406€/MWhPrice of electricity402.677€/MWh
Scenario 3
Current plantPV Plant after the enlargement
PFI17,915,100PFI20,985,900
Price/kW1706€/kWPrice/kW1706€/kW
Power10.501MWPower12.301MW
Terrain cost617,645Terrain cost723,514.5886
Terrain123,529m2Terrain144,702.9177m2
Hybrid plant Hybrid plant
Rest of the plants (cost)40,709,396Rest of the plants (cost)40,709,396
Total PFI58,624,496Total PFI61,695,296
TRR9,805,051€/yearTRR10,261,706€/year
Energy supplied25,000MWh/yearEnergy supplied25,000MWh/year
Terrain cost total1,989,785Terrain cost total2,095,654.589
Price of electricity392.202€/MWhPrice of electricity410.46824€/MWh
* PFI: Plant-facilities investment, TRR: Total revenue requirement.
Table A2. Final energy cost.
Table A2. Final energy cost.
Cost of ElectricityThermal Energy Cost
Scenario 1462.609€/MWhScenario 155.884€/MWh
Scenario 2402.677€/MWhScenario 218.271€/MWh
Scenario 3410.464€/MWhScenario 318.266€/MWh
In the following tables, electricity and thermal energy prices for the different combinations are presented. MED = multiple effect distillation; TVC = thermal-vapor compression; RO = reverse osmosis.
Table A3. Price of electricity (€/MWh).
Table A3. Price of electricity (€/MWh).
Zone 1
HeaderTechnologyMEDTVCRO
Zone 2MED421.25404.50387.75
TVC421.25404.50387.75
RO417.90401.15384.41
Table A4. Thermal energy price (€/MWh).
Table A4. Thermal energy price (€/MWh).
Zone 1
TechnologyMEDTVCRO
Zone 2MED36.8420.093.35
TVC36.8420.093.35
RO33.4916.74N/A
Table A5. Cost breakdown.
Table A5. Cost breakdown.
TechnologyElectric Power(MWe)Thermal Power (MWt)Total Investment (M€)Annual Maintenance cost (M€)Annual Thermal Energy (MWh)Annual Electric Energy (MWh)Annualized Investment Cost (M€)Total Annualized Cost (k€)
MED-MED0.1640.4452,5608760.3732224.072
MED-TVC0.2640.4452,56017520.3732578.415
MED-RO0.2540.5543,80017520.3732359.918
TVC-MED0.3340.4426,28026280.3732114.227
TVC-TVC0.4340.4426,28035040.3732459.768
TVC-RO0.4240.5517,52035040.3732411.382
RO-MED0.3140.54876026280.3731961.894
RO-TVC0.4140.54876035040.3732301.567
RO-RO0.4040.65035040.3732370.513

Appendix B

In this appendix all the calculations related with the water transport can be seen. The data is organized in four different configurations.
The following symbols are used in the tables:
Table A6. Symbols used in tables.
Table A6. Symbols used in tables.
SymbolMeaning
F1Friction factor guessed
F’Friction factor after iteration
DPipeline diameter
hgPump head (height difference)
h0Pump head (given by friction)
QWater flow
Z0Height initial point
ZlHeight final point
Table A7. Configuration of the network for drinking water.
Table A7. Configuration of the network for drinking water.
Connection Aspous–AchilliConnection Kalamitsa–Nifi
Initial dataInitial data
Distance1392.84mDistance1216.55m
Q0.02m3/sQ0.01m3/s
Z00.00mZ00.00m
Zl0.00mZl0.00m
Values after iterationValues after iteration
F1DF’F1DF’
0.020.1870.0230.0250.1480.024
Final valuesFinal values
Diameter0.19mDiameter0.15m
F0.03 F0.03
Velocity0.82m/sVelocity0.77m/s
Reynolds149,801.27 Reynolds110,968.08
hg0.00mhg0.00m
h06.37mh06.20m
Economic resultsEconomic results
Pipelines cost445,530.76Pipelines cost307,884.23
Power1.69kWPower0.96kW
Pumps cost8138.54Pumps cost5416.92
Pumping cost/year5753.46€/yearPumping cost/year3276.42€/year
Annualized total cost43,094.08Annualized total cost29,063.62
Connection Ferekampos–AspousConnection Ferekampos–Skyros
Initial dataInitial data
Distance1878.83mDistance3001.67m
Q0.07m3/sQ0.91m3/s
Z080.00mZ080.00m
Zl0.00mZl60.00m
Final valuesFinal values
Diameter0.19mDiameter0.75m
Velocity2.51m/sVelocity2.07m/s
Reynolds455,545.09 Reynolds1,515,001.74
Economic resultsEconomic results
Pipelines cost596,058.55Pipelines cost8,613,660.26
Annualized total cost49,060.40Annualized total cost708,973.29
Connection Skyros–MolosConnection Reservoir 2–Linaria
Initial dataInitial data
Distance1456.02mDistance776.21m
Q0.26m3/sQ0.04m3/s
Z060.00mZ0200.00m
Zl0.00mZl0.00m
Final valuesFinal values
Diameter0.31mDiameter0.11m
Velocity3.43m/sVelocity4.47m/s
Reynolds1,046,659.81 Reynolds482,413.44
Economic resultsEconomic results
Pipelines cost992,625.04Pipelines cost152,259.78
Annualized total cost81,701.00Annualized total cost12,532.20
Connection Reservoir 2–AcherounesConnection Reservoir 2–Kalikri
Initial dataInitial data
Distance1025.91mDistance1520.69m
Q0.03m3/sQ0.05m3/s
Z0200.00mZ0200.00m
Zl100.00mZl100.00m
Final valuesFinal values
Diameter0.11mDiameter0.15m
Velocity2.77m/sVelocity2.75m/s
Reynolds305,196.42 Reynolds407,636.35
Economic resultsEconomic results
Pipelines cost204,485.00Pipelines cost394,452.13
Annualized total cost16,830.75Annualized total cost32,466.57
Connection Kalikri–Kalamitsa
Initial data
Distance282.84m
Q0.03m3/s
Z0100.00m
Zl0.00m
Final values
Diameter0.09m
Velocity4.68m/s
Reynolds422,834.90
Economic results
Pipelines cost47,548.43
Annualized total cost3913.62
Table A8. Configuration of the network for wastewater transport.
Table A8. Configuration of the network for wastewater transport.
Connection Achilli–AspousConnection Aspous–Skyros
Initial dataInitial data
Distance1392.84mDistance2469.82m
Q0.01m3/sQ0.02m3/s
Z00.00mZ00.00m
Zl0.00mZl60.00m
Values after iterationValues after iteration
F1DF’F1DF’
0.0250.0980.0270.0250.1720.023
Final valuesFinal values
Diameter0.10mDiameter0.17m
F0.03 F0.03
Velocity0.78m/sVelocity0.76m/s
Reynolds74,794.91 Reynolds128,325.64
hg0.00mhg60.00m
h011.13mh070.67m
Economic resultsEconomic results
Pipelines cost245,520.38Pipelines cost722,095.67
Power0.77kWPower14.80kW
Pumps cost4612.72Pumps cost39,014.17
Pumping cost/year2623.40€/yearPumping cost/year50,279.28€/year
Annualized total cost23,211.36Annualized total cost112,924.72
Connection Aspous–SkyrosConnection Molos–WWTP1
Initial ddataInitial data
Distance860.23mDistance2469.82m
Q0.07m3/sQ0.02m3/s
Z00.00mZ00.00m
Zl0.00mZl60.00m
Values after iterationValues after iteration
F1DF’F1DF’
0.020.330.020.0250.1720.023
Final valuesFinal values
Diameter0.33mDiameter0.17m
F0.03 F0.03
Velocity0.80m/sVelocity0.76m/s
Reynolds257,967.65 Reynolds128,325.64
hg0.00mhg60.00m
h02.12mh070.67m
Economic resultsEconomic results
Pipelines cost643,484.49Pipelines cost722,095.67
Power1.71kWPower14.80kW
Pumps cost8202.35Pumps cost39,014.17
Pumping cost/year5815.94€/yearPumping cost/year50,279.28€/year
Annualized total cost59,454.99Annualized total cost112,924.72
Connection Kalamitsa–KalikriConnection Nifi–Kalamitsa
Initial dataInitial data
Distance282.84mDistance1216.55m
Q0.01m3/sQ0.003m3/s
Z00.00mZ00m
Zl100.00mZl0m
Values after iterationValues after iteration
F1DF’F1DF’
0.0250.1160.0260.030.0770.029
Final valuesFinal values
Diameter0.12mDiameter0.08m
F0.03 F0.025
Velocity0.78m/sVelocity0.7449946m/s
Reynolds88,042.89 Reynolds5.58 x 104
hg100.00mhg0m
h0101.88mh011.220727m
Economic resultsEconomic results
Pipelines cost57,819.37Pipelines cost173,708.5
Power9.87kWPower0.5kW
Pumps cost29,104.60Pumps cost3148.4
Pumping cost/year33,525.19€/yearPumping cost/year1546.8€/year
Annualized total cost40,679.73Annualized total cost16,103.6
Connection Linaria–WWTP2
Initial data
Distance707.11m
Q0.03m3/s
Z00.00m
Zl0.00m
Values after iteration
F1DF’
0.030.2150.022
Final values
Diameter0.22m
F0.03
Velocity0.71m/s
Reynolds149,475.02
hg0.00m
h02.12m
Economic results
Pipelines cost269,538.41
Power0.65kW
Pumps cost4057.13
Pumping cost/year2196.70€/year
Annualized total cost24,715.81
Connection Skyros–WWTP1Connection Kalikri–Linaria
Initial dataInitial data
Distance707.11mDistance1772.00m
Q0.20m3/sQ0.01m3/s
Z060.00mZ0100.00m
Zl0.00mZl0.00m
Final valuesFinal values
Diameter0.25mDiameter0.09m
Velocity4.24m/sVelocity1.88m/s
Reynolds1,019,093.94 Reynolds172,043.01
Economic resultsEconomic results
Pipelines cost328,755.22Pipelines cost301,424.13
Annualized total cost27,059.19Annualized total cost24,809.62
Connection Acherounes–WWTP2
Initial data
Distance1000.00m
Q0.01m3/s
Z0100.00m
Zl0.00m
Final values
Diameter0.08m
Velocity1.81m/s
Reynolds125,804.38
Economic results
Pipelines cost134,076.10
Annualized total cost11,035.54
Table A9. Connection desalination plants—reservoirs.
Table A9. Connection desalination plants—reservoirs.
Connection DP1–FerekamposConnection DP2–Reservoir 2
Initial dataInitial data
Distance2624.88mDistance1530.52m
Q0.02m3/sQ0.01m3/s
Z00.00mZ00.00m
Zl80.00mZl200.00m
Values after iterationValues after iteration
F1DF’F1DF’
0.020.1840.0230.0250.1010.027
Final valuesFinal values
Diameter0.18mDiameter0.10m
F0.03 F0.03
Velocity0.82m/sVelocity0.78m/s
Reynolds147,229.92 Reynolds76,990.52
hg80.00mhg200.00m
h092.24mh0211.83m
Economic resultsEconomic results
Pipelines cost822,782.58Pipelines cost276,967.11
Power23.68kWPower15.60kW
Pumps cost54,796.98Pumps cost40,514.39
Pumping cost/year80,435.44€/yearPumping cost/year52,972.94€/year
Annualized total cost152,667.27Annualized total cost79,104.21

References

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Figure 1. Defined water zones of the island of Skyros.
Figure 1. Defined water zones of the island of Skyros.
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Figure 2. Estimated demand.
Figure 2. Estimated demand.
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Figure 3. Wastewater collection systems: (a) conventional gravity flow system; (b) vacuum collection [17].
Figure 3. Wastewater collection systems: (a) conventional gravity flow system; (b) vacuum collection [17].
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Figure 4. Water desalination flow diagrams.
Figure 4. Water desalination flow diagrams.
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Figure 5. Desalinated water supply system (left panel) and wastewater collection system (right panel) on the island of Skyros.
Figure 5. Desalinated water supply system (left panel) and wastewater collection system (right panel) on the island of Skyros.
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Figure 6. Renewable desalination technologies [23].
Figure 6. Renewable desalination technologies [23].
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Figure 7. Cost distribution of the proposed water network on Skyros.
Figure 7. Cost distribution of the proposed water network on Skyros.
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Table 1. Provisions of the Joint Ministerial Decree for wastewater reuse [18,19].
Table 1. Provisions of the Joint Ministerial Decree for wastewater reuse [18,19].
Potential UseMinimum Required Treatment LevelEffluent Quality Standards
Restricted irrigationSecondary biological treatment & disinfection
-
EC*/100ml: ≤200
-
BOD5* (mg/l): ≤25
-
SS* (mg/l): ≤35
-
NTU*: -
Unrestricted irrigationTertiary biological treatment & disinfection
-
EC/100ml: ≤5
-
BOD5(mg/l): ≤10
-
SS(mg/l): ≤10
-
NTU: ≤2
Urban useAdvanced treatment & disinfection
-
TC/100ml: ≤2
-
BOD5(mg/l): ≤10
-
SS(mg/l): ≤2
-
NTU: ≤2
Groundwater recharge (non- potable purposes)Secondary biological treatment & disinfection
-
EC/100ml: ≤2
-
BOD5(mg/l): ≤10
-
SS(mg/l): ≤2
-
NTU: ≤2
Industrial useTertiary biological treatment & disinfection
-
EC/100ml: ≤5
-
BOD5(mg/l): ≤10
-
SS(mg/l): ≤10
-
NTU: ≤2
* EC: Escherichia coli, BOD: Biochemical oxygen demand, SS: Suspended solids, NTU: Nephelometric turbidity units.
Table 2. General assumptions for cost estimations.
Table 2. General assumptions for cost estimations.
ParameterAssumption
Water demand10,812 m3/day for the year 2038
Irrigation needs65% of the total demand
Wastewater75% of the urban use
Material used for the pipesDuctile iron
Pipe water velocity range0.5–4 m/s
Pipe diameter range0.08–0.75 m
Pressure head range−2.5–50 m
Pipe cost coefficient, km1320
Pipe cost exponent, m0.866
Peak day factor (used to oversize the pipes)2
Peak hour factor (used to oversize the system)5
Seawater salinity37.5 psu
Seawater temperature18 °C
Distance of the water transport by ships100 km
Diesel cost for the ships0.65€/L
Table 3. Electricity and thermal energy cost data.
Table 3. Electricity and thermal energy cost data.
Power PlantPower (MW)Terrain (m2)Cost of Electricity
(€/MWh)
Thermal Energy Cost
(€/MWh)
Current photovoltaic (PV) plant10.5123,529384.4-
Plant after the enlargement12.3144,702402.718.3
Table 4. Cost of the water supply system.
Table 4. Cost of the water supply system.
Desalinated Water Supply System
-Total investment of pipes (k€)Total investment of pumps
(k€)
Operational costs
(k€/year)
Total annual cost
(k€/year)
Zone 110,648862681
Zone 211075395
Wastewater collection system
-Total investment of pipes (k€)Total investment of pumps
(k€)
Operational costs
(k€/year)
Total annual cost
(k€/year)
Zone 119405259223
Zone 212363737129
Desalinated water production costs
-Fixed costs (k€)Maintenance costs
(k€)
Energy costs
(k€/year)
Total annual cost
(k€/year)
DP1*335010191649
DP2119029313
Wastewater treatment costs
-Energy costs (€/day)Total costs
(€/day)
Total annual cost
(k€/year)
WWTP1*181951347
WWTP22722582
* DP: Desalination plant, WWTP: Waste water treatment plant.

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Fernández-Gil, G.; Petrakopoulou, F. Sustainable Water Generation on a Mediterranean Island in Greece. Energies 2019, 12, 4247. https://doi.org/10.3390/en12224247

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Fernández-Gil G, Petrakopoulou F. Sustainable Water Generation on a Mediterranean Island in Greece. Energies. 2019; 12(22):4247. https://doi.org/10.3390/en12224247

Chicago/Turabian Style

Fernández-Gil, Guillermo, and Fontina Petrakopoulou. 2019. "Sustainable Water Generation on a Mediterranean Island in Greece" Energies 12, no. 22: 4247. https://doi.org/10.3390/en12224247

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