Reservoir(Redirected from Reservoir (water))
A reservoir (from French réservoir – a "tank") is a storage space for fluids. These fluids may be water, hydrocarbons or gas. A reservoir usually means an enlarged natural or artificial lake, storage pond or impoundment created using a dam or lock to store water. Reservoirs can be created by controlling a stream that drains an existing body of water. They can also be constructed in river valleys using a dam. Alternately, a reservoir can be built by excavating flat ground or constructing retaining walls and levees. Tank reservoirs store liquids or gases in storage tanks that may be elevated, at grade level, or buried. Tank reservoirs for water are also called cisterns.
Underground reservoirs are used to store liquids, principally either water or petroleum, below ground.
Reservoirs dammed in valleysEdit
A dam constructed in a valley relies on the natural topography to provide most of the basin of the reservoir. Dams are typically located at a narrow part of a valley downstream of a natural basin. The valley sides act as natural walls, with the dam located at the narrowest practical point to provide strength and the lowest cost of construction. In many reservoir construction projects, people have to be moved and re-housed, historical artifacts moved or rare environments relocated. Examples include the temples of Abu Simbel (which were moved before the construction of the Aswan Dam to create Lake Nasser from the Nile in Egypt), the relocation of the village of Capel Celyn during the construction of Llyn Celyn, and the relocation of Borgo San Pietro of Petrella Salto during the construction of Lake Salto.
Construction of a reservoir in a valley will usually need the river to be diverted during part of the build, often through a temporary tunnel or by-pass channel.
In hilly regions, reservoirs are often constructed by enlarging existing lakes. Sometimes in such reservoirs, the new top water level exceeds the watershed height on one or more of the feeder streams such as at Llyn Clywedog in Mid Wales. In such cases additional side dams are required to contain the reservoir.
Where the topography is poorly suited to a single large reservoir, a number of smaller reservoirs may be constructed in a chain, as in the River Taff valley where the Llwyn-on, Cantref and Beacons Reservoirs form a chain up the valley.
Coastal reservoirs are fresh water storage reservoirs located on the sea coast near the river mouth to store the flood water of a river. As the land based reservoir construction is fraught with substantial land submergence, coastal reservoir is preferred economically and technically since it does not use scarce land area. Many coastal reservoirs were constructed in Asia and Europe. Saemanguem in South Korea, Marina Barrage in Singapore, Qingcaosha and Plover Cove in China, etc are few existing coastal reservoirs.
Where water is pumped or siphoned from a river of variable quality or size, bank-side reservoirs may be built to store the water. Such reservoirs are usually formed partly by excavation and partly by building a complete encircling bund or embankment, which may exceed 6 km (4 miles) in circumference. Both the floor of the reservoir and the bund must have an impermeable lining or core: initially these were often made of puddled clay, but this has generally been superseded by the modern use of rolled clay. The water stored in such reservoirs may stay there for several months, during which time normal biological processes may substantially reduce many contaminants and almost eliminate any turbidity. The use of bank-side reservoirs also allows water abstraction to be stopped for some time, when the river is unacceptably polluted or when flow conditions are very low due to drought. The London water supply system is one example of the use of bank-side storage: the water is taken from the River Thames and River Lee; several large Thames-side reservoirs such as Queen Mary Reservoir can be seen along the approach to London Heathrow Airport.
Service reservoirs store fully treated potable water close to the point of distribution. Many service reservoirs are constructed as water towers, often as elevated structures on concrete pillars where the landscape is relatively flat. Other service reservoirs can be almost entirely underground, especially in more hilly or mountainous country. In the United Kingdom, Thames Water has many underground reservoirs, sometimes also called cisterns, built in the 1800s, most of which are lined with brick. A good example is the Honor Oak Reservoir in London, constructed between 1901 and 1909. When it was completed it was said to be the largest brick built underground reservoir in the world and it is still one of the largest in Europe. This reservoir now forms part of the southern extension of the Thames Water Ring Main. The top of the reservoir has been grassed over and is now used by the Aquarius Golf Club.
Service reservoirs perform several functions, including ensuring sufficient head of water in the water distribution system and providing water capacity to even out peak demand from consumers, enabling the treatment plant to run at optimum efficiency. Large service reservoirs can also be managed to reduce the cost of pumping, by refilling the reservoir at times of day when energy costs are low.
Dry climate and water scarcity in India led to early development of stepwells and water resource management techniques, including the building of a reservoir at Girnar in 3000 BC. Artificial lakes dating to the 5th century BC have been found in ancient Greece. The artificial Bhojsagar lake in present-day Madhya Pradesh state of India, constructed in the 11th century, covered 650 square kilometres (250 sq mi).
In Sri Lanka large reservoirs were created by ancient Sinhalese kings in order to save the water for irrigation. The famous Sri Lankan king Parākramabāhu I of Sri Lanka said "Do not let a drop of water seep into the ocean without benefiting mankind". He created the reservoir named Parakrama Samudra (sea of King Parakrama). Vast artificial reservoirs were also built by various ancient kingdoms in Bengal, Assam and Cambodia.
Direct water supplyEdit
Many dammed river reservoirs and most bank-side reservoirs are used to provide the raw water feed to a water treatment plant which delivers drinking water through water mains. The reservoir does not merely hold water until it is needed: it can also be the first part of the water treatment process. The time the water is held before it is released is known as the retention time. This is a design feature that allows particles and silts to settle out, as well as time for natural biological treatment using algae, bacteria and zooplankton that naturally live in the water. However natural limnological processes in temperate climate lakes produce temperature stratification in the water, which tends to partition some elements such as manganese and phosphorus into deep, cold anoxic water during the summer months. In the autumn and winter the lake becomes fully mixed again. During drought conditions, it is sometimes necessary to draw down the cold bottom water, and the elevated levels of manganese in particular can cause problems in water treatment plants.
In 2005 about 25% of the world's 33,105 large dams (over 15 metres in height) were used for hydroelectricity. However of 80,000 dams of all sizes in the U.S., only 3% produce electricity. A reservoir generating hydroelectricity includes turbines connected to the retained water body by large-diameter pipes. These generating sets may be at the base of the dam or some distance away. In a flat river valley a reservoir needs to be deep enough to create a head of water at the turbines; and if there are periods of drought the reservoir needs to hold enough water to average out the river's flow throughout the year(s). Run-of-the-river hydro in a steep valley with constant flow needs no reservoir.
Some reservoirs generating hydroelectricity use pumped recharge: a high-level reservoir is filled with water using high-performance electric pumps at times when electricity demand is low, and then uses this stored water to generate electricity by releasing the stored water into a low-level reservoir when electricity demand is high. Such systems are called pump-storage schemes.
Reservoirs can be used in a number of ways to control how water flows through downstream waterways:
- Downstream water supply – water may be released from an upland reservoir so that it can be abstracted for drinking water lower down the system, sometimes hundred of miles further downstream.
- Irrigation – water in an irrigation reservoir may be released into networks of canals for use in farmlands or secondary water systems. Irrigation may also be supported by reservoirs which maintain river flows, allowing water to be abstracted for irrigation lower down the river.
- Flood control – also known as an "attenuation" or "balancing" reservoirs, flood control reservoirs collect water at times of very high rainfall, then release it slowly during the following weeks or months. Some of these reservoirs are constructed across the river line, with the onward flow controlled by an orifice plate. When river flow exceeds the capacity of the orifice plate, water builds up behind the dam; but as soon as the flow rate reduces, the water behind the dam is slowly released until the reservoir is empty again. In some cases, such reservoirs only function a few times in a decade, and the land behind the reservoir may be developed as community or recreational land. A new generation of balancing dams are being developed to combat the possible consequences of climate change. They are called "Flood Detention Reservoirs". Because these reservoirs will remain dry for long periods, there may be a risk of the clay core drying out, reducing its structural stability. Recent developments include the use of composite core fill made from recycled materials as an alternative to clay.
- Canals – Where a natural watercourse's water is not available to be diverted into a canal, a reservoir may be built to guarantee the water level in the canal: for example, where a canal climbs through locks to cross a range of hills.
- Recreation – water may be released from a reservoir to create or supplement white water conditions for kayaking and other white-water sports. On salmonid rivers special releases (in Britain called freshets) are made to encourage natural migration behaviours in fish and to provide a variety of fishing conditions for anglers.
Reservoirs can be used to balance the flow in highly managed systems, taking in water during high flows and releasing it again during low flows. In order for this to work without pumping requires careful control of water levels using spillways. When a major storm approaches, the dam operators calculate the volume of water that the storm will add to the reservoir. If forecast storm water will overfill the reservoir, water is slowly let out of the reservoir prior to, and during, the storm. If done with sufficient lead time, the major storm will not fill the reservoir and areas downstream will not experience damaging flows. Accurate weather forecasts are essential so that dam operators can correctly plan drawdowns prior to a high rainfall event. Dam operators blamed a faulty weather forecast on the 2010–2011 Queensland floods. Examples of highly managed reservoirs are Burrendong Dam in Australia and Bala Lake (Llyn Tegid) in North Wales. Bala Lake is a natural lake whose level was raised by a low dam and into which the River Dee flows or discharges depending upon flow conditions, as part of the River Dee regulation system. This mode of operation is a form of hydraulic capacitance in the river system.
Many reservoirs often allow some recreational uses, such as fishing and boating. Special rules may apply for the safety of the public and to protect the quality of the water and the ecology of the surrounding area. Many reservoirs now support and encourage less formal and less structured recreation such as natural history, bird watching, landscape painting, walking and hiking, and often provide information boards and interpretation material to encourage responsible use.
Water falling as rain upstream of the reservoir, together with any groundwater emerging as springs, is stored in the reservoir. Any excess water can be spilled via a specifically designed spillway. Stored water may be piped by gravity for use as drinking water, to generate hydro-electricity or to maintain river flows to support downstream uses. Occasionally reservoirs can be managed to retain water during high rainfall events to prevent or reduce downstream flooding. Some reservoirs support several uses, and the operating rules may be complex.
Most modern reservoirs have a specially designed draw-off tower that can discharge water from the reservoir at different levels, both to access water as the water level falls, and to allow water of a specific quality to be discharged into the downstream river as "compensation water": the operators of many upland or in-river reservoirs have obligations to release water into the downstream river to maintain river quality, support fisheries, to maintain downstream industrial and recreational uses or for a range of other purposes. Such releases are known as compensation water.
The terminology for reservoirs varies from country to country. In most of the world, reservoir areas are expressed in square kilometres; in the United States acres are commonly used. For volume either cubic metres or cubic kilometres are widely used, with acre-feet used in the US.
The capacity, volume or storage of a reservoir is usually divided into distinguishable areas. Dead or inactive storage refers to water in a reservoir that cannot be drained by gravity through a dam's outlet works, spillway or power plant intake and can only be pumped out. Dead storage allows sediments to settle, which improves water quality and also creates an area for fish during low levels. Active or live storage is the portion of the reservoir that can be used for flood control, power production, navigation and downstream releases. In addition, a reservoir's "flood control capacity" is the amount of water it can regulate during flooding. The "surcharge capacity" is the capacity of the reservoir above the spillway crest that cannot be regulated.
In the United States the water below the normal maximum level of a reservoir is called the "conservation pool".
In the United Kingdom, "top water level" describes the reservoir full state, whilst "fully drawn down" describes the minimum retained volume.
Modelling reservoir managementEdit
There is a wide variety of software for modelling reservoirs, from the specialist Dam Safety Program Management Tools (DSPMT) to the relatively simple WAFLEX, to integrated models like the Water Evaluation And Planning system (WEAP) that place reservoir operations in the context of system-wide demands and supplies.
While much of the effort is directed at the dam and its associated structures as the weakest part of the overall structure, the aim of such controls is to prevent an uncontrolled release of water from the reservoir. Reservoir failures can generate huge increases in flow down a river valley, with the potential to wash away towns and villages and cause considerable loss of life, such as the devastation following the failure of containment at Llyn Eigiau which killed 17 people.(see also List of dam failures)
A notable case of reservoirs being used as an instrument of war involved the British Royal Air Force Dambusters raid on Germany in World War II (codenamed "Operation Chastise" ), in which three German reservoir dams were selected to be breached in order to damage German infrastructure and manufacturing and power capabilities deriving from the Ruhr and Eder rivers. The economic and social impact was derived from the enormous volumes of previously stored water that swept down the valleys, wreaking destruction. This raid later became the basis for several films.
Whole life environmental impactEdit
All reservoirs will have a monetary cost/benefit assessment made before construction to see if the project is worth proceeding with. However, such analysis can often omit the environmental impacts of dams and the reservoirs that they contain. Some impacts, such as the greenhouse gas production associated with concrete manufacture, are relatively easy to estimate. Other impact on the natural environment and social and cultural effects can be more difficult to assess and to weigh in the balance but identification and quantification of these issues are now commonly required in major construction projects in the developed world 
Reservoir greenhouse gas emissionsEdit
Naturally occurring lakes receive organic sediments which decay in an anaerobic environment releasing methane and carbon dioxide. The methane released is approximately 8 times more potent as a greenhouse gas than carbon dioxide.
As a man-made reservoir fills, existing plants are submerged and during the years it takes for this matter to decay, will give off considerably more greenhouse gases than lakes do. A reservoir in a narrow valley or canyon may cover relatively little vegetation, while one situated on a plain may flood a great deal of vegetation. The site may be cleared of vegetation first or simply flooded. Tropical flooding can produce far more greenhouse gases than in temperate regions.
The following table indicates reservoir emissions in milligrams per square meter per day for different bodies of water.
Hydroelectricity and climate changeEdit
Depending upon the area flooded versus power produced, a reservoir built for hydro-electricity generation can either reduce or increase the net production of greenhouse gases when compared to other sources of power.
A study for the National Institute for Research in the Amazon found that hydroelectric reservoirs release a large pulse of carbon dioxide from decay of trees left standing in the reservoirs, especially during the first decade after flooding. This elevates the global warming impact of the dams to levels much higher than would occur by generating the same power from fossil fuels. According to the World Commission on Dams report (Dams And Development), when the reservoir is relatively large and no prior clearing of forest in the flooded area was undertaken, greenhouse gas emissions from the reservoir could be higher than those of a conventional oil-fired thermal generation plant. For instance, In 1990, the impoundment behind the Balbina Dam in Brazil (inaugurated in 1987) had over 20 times the impact on global warming than would generating the same power from fossil fuels, due to the large area flooded per unit of electricity generated.
A two-year study of carbon dioxide and methane releases in Canada concluded that while the hydroelectric reservoirs there do emit greenhouse gases, it is on a much smaller scale than thermal power plants of similar capacity. Hydropower typically emits 35 to 70 times less greenhouse gases per TWh of electricity than thermal power plants.
A decrease in air pollution occurs when a dam is used in place of thermal power generation, since electricity produced from hydroelectric generation does not give rise to any flue gas emissions from fossil fuel combustion (including sulfur dioxide, nitric oxide and carbon monoxide from coal).
Dams can produce a block for migrating fish, trapping them in one area, producing food and a habitat for various water-birds. They can also flood various ecosystems on land and may cause extinctions.
Dams can severely reduce the amount of water reaching countries downstream of them, causing water stress between the countries, e.g. the Sudan and Egypt, which damages farming businesses in the downstream countries, and reduces drinking water.
Farms and villages, e.g. Ashopton can be flooded by the creation of reservoirs, ruining many livelihoods. For this very reason, worldwide 80 million people (figure is as of 2009, from the Edexcel GCSE Geography textbook) have had to be forcibly relocated due to dam construction.
The limnology of reservoirs has many similarities to that of lakes of equivalent size. There are however significant differences. Many reservoirs experience considerable variations in level producing significant areas that are intermittently underwater or dried out. This greatly limits the productivity or the water margins and also limits the number of species able to survive in these conditions.
Upland reservoirs tend to have a much shorter residence time than natural lakes and this can lead to more rapid cycling of nutrients through the water body so that they are more quickly lost to the system. This may be seen as a mismatch between water chemistry and water biology with a tendency for the biological component to be more oligotrophic than the chemistry would suggest.
Conversely, lowland reservoirs drawing water from nutrient rich rivers, may show exaggerated eutrophic characteristics because the residence time in the reservoir is much greater than in the river and the biological systems have a much greater opportunity to utilise the available nutrients.
Deep reservoirs with multiple level draw off towers can discharge deep cold water into the downstream river greatly reducing the size of any hypolimnion. This in turn can reduce the concentrations of phosphorus released during any annual mixing event and may therefore reduce productivity.
The filling (impounding) of reservoirs has often been attributed to reservoir-triggered seismicity (RTS) as seismic events have occurred near large dams or within their reservoirs in the past. These events may have been triggered by the filling or operation of the reservoir and are on a small scale when compared to the amount of reservoirs worldwide. Of over 100 recorded events, some early examples include the 60 m (197 ft) tall Marathon Dam in Greece (1929), the 221 m (725 ft) tall Hoover Dam in the U.S. (1935). Most events involve large dams and small amounts of seismicity. The only four recorded events above a 6.0-magnitude (Mw) are the 103 m (338 ft) tall Koyna Dam in India and the 120 m (394 ft) Kremasta Dam in Greece which both registered 6.3-Mw, the 122 m (400 ft) high Kariba Dam in Zambia at 6.25-Mw and the 105 m (344 ft) Xinfengjiang Dam in China at 6.1-Mw. Disputes have occurred regarding when RTS has occurred due to a lack of hydrogeological knowledge at the time of the event. It is accepted, though, that the infiltration of water into pores and the weight of the reservoir do contribute to RTS patterns. For RTS to occur, there must be a seismic structure near the dam or its reservoir and the seismic structure must be close to failure. Additionally, water must be able to infiltrate the deep rock stratum as the weight of a 100 m (328 ft) deep reservoir will have little impact when compared the deadweight of rock on a crustal stress field, which may be located at a depth of 10 km (6 mi) or more.
Reservoirs may change the local micro-climate increasing humidity and reducing extremes of temperature, especially in dry areas. Such effects are claimed also by some South Australian wineries as increasing the quality of the wine production.
List of reservoirsEdit
In 2005 there were 33,105 large dams (≥15 m height) listed by the International Commission on Large Dams (ICOLD).
List of reservoirs by areaEdit
|The world's ten largest reservoirs by surface area|
|4||Lake Kariba||Zimbabwe, Zambia||5,580||2,150|||
|7||Lake Nasser||Egypt, Sudan||5,248||2,026|||
List of reservoirs by volumeEdit
|The world's ten largest reservoirs by volume|
|1||Lake Kariba||Zimbabwe, Zambia||180||43|
|3||Lake Nasser||Egypt, Sudan||157||38|
- UNESCO World Heritage Centre. "Nubian Monuments from Abu Simbel to Philae". Retrieved 20 September 2015.
- Capel Celyn, Ten Years of Destruction: 1955–1965, Thomas E., Cyhoeddiadau Barddas & Gwynedd Council, 2007, ISBN 978-1-900437-92-9
- Construction of Hoover Dam: a historic account prepared in cooperation with the Department of the Interior. KC Publications. 1976. ISBN 0-916122-51-4.
- "Llanidloes Mid Wales – Llyn Clywedog". Retrieved 20 September 2015.
- Reservoirs of Fforest Fawr Geopark[permanent dead link]
- "International Association for Coastal Reservoir Research". Retrieved 9 July 2018.
- "Assessment of social and environmental impacts of coastal reservoirs (page 19)". Retrieved 9 July 2018.
- "Coastal reservoirs strategy for water resource development-a review of future trend". Retrieved 9 March 2018.
- Bryn Philpott-Yinka Oyeyemi-John Sawyer (2009). "ICE Virtual Library: Queen Mary and King George V emergency draw down schemes". Dams and Reservoirs. 19 (2): 79–84. doi:10.1680/dare.2009.19.2.79.
- "Open Learning – OpenLearn – Open University". Retrieved 20 September 2015.
- "Honor Oak Reservoir" (PDF). London Borough of Lewisham. Archived from the original (PDF) on 18 March 2012. Retrieved 1 September 2011.
- "Honor Oak Reservoir". Mott MacDonald. Archived from the original on 9 December 2011. Retrieved 1 September 2011.
- "Aquarius Golf Club". Retrieved 20 September 2015.
- Smith, S. et al. (2006) Water: the vital resource, 2nd edition, Milton Keynes, The Open University
- Rodda, John; Ubertini, Lucio, eds. (2004). The Basis of Civilization – Water Science?. International Association of Hydrological Science. p. 161. ISBN 978-1-901502-57-2. OCLC 224463869.
- Wilson & Wilson (2005). Encyclopedia of Ancient Greece. Routledge. ISBN 0-415-97334-1. pp. 8
- – International Lake Environment Committee – Parakrama Samudra Archived 5 June 2011 at the Wayback Machine
- Soumis, Nicolas; Lucotte, Marc; Canuel, René; Weissenberger, Sebastian; Houel, Stéphane; Larose, Catherine; Duchemin, Éric (2005). Hydroelectric Reservoirs as Anthropogenic Sources of Greenhouse Gases. Water Encyclopedia. doi:10.1002/047147844X.sw791. ISBN 978-0471478447.
- "Small Hydro: Power of the Dammed: How Small Hydro Could Rescue America's Dumb Dams". Retrieved 20 September 2015.
- "First Hydro Company Pumped Storage". Archived from the original on 29 July 2010.
- "Irrigation UK" (PDF). Retrieved 20 September 2015.
- "Huddersfield Narrow Canal Reservoirs". Archived from the original on 23 December 2001. Retrieved 20 September 2015.
- "Canoe Wales – National White Water Rafting Centre". Retrieved 20 September 2015.
- Votruba, Ladislav; Broža, Vojtěch (1989). Water Management in Reservoirs. Developments in Water Science. 33. Elsevier Publishing Company. p. 187. ISBN 978-0-444-98933-8.
- "Water glossary". Retrieved 20 September 2015.
- North Carolina Dam safety law Archived 16 April 2010 at the Wayback Machine
- "Reservoirs Act 1975". www.opsi.gov.uk.
- "Llyn Eigiau". Retrieved 20 September 2015.
- "Commonwealth War Graves Commission – Operation Chastise" (PDF).
- CIWEM – Reservoirs:Global Issues Archived 12 May 2008 at the Wayback Machine
- Proposed reservoir – Environmental Impact Assessment (EIA) Scoping Report Archived 8 March 2009 at the Wayback Machine
- Houghton, John (4 May 2005). "Global warming". Reports on Progress in Physics. 68 (6): 1362. doi:10.1088/0034-4885/68/6/R02.
- "Reservoir Surfaces as Sources of Greenhouse Gases to the Atmosphere: A Global Estimate" (PDF). era.library.ualberta.ca.
- Fearnside, P.M. (1995). "Hydroelectric dams in the Brazilian Amazon as sources of 'greenhouse' gases". Environmental Conservation. 22 (1): 7–19. doi:10.1017/s0376892900034020.
- Graham-Rowe, Duncan. "Hydroelectric power's dirty secret revealed".
- Éric Duchemin (1 December 1995). "Production of the greenhouse gases CH4 and CO2 by hydroelectric reservoirs of boreal region". ResearchGate. Retrieved 20 September 2015.
- "THE ISSUE OF GREENHOUSE GASES FROM HYDROELECTRIC RESERVOIRS FROM BOREAL TO TROPICAL REGIONS". researchgate.net.
- "Ecology of Reservoirs and Lakes". Retrieved 20 September 2015.
- "The relationship between large reservoirs and seismicity 08 February 2010". International Water Power & Dam Construction. 20 February 2010. Archived from the original on 18 June 2012. Retrieved 12 March 2011.
- International Lake Environment Committee – Volta Lake Archived 6 May 2009 at the Wayback Machine
- MACCALLUM, IAN. "Smallwood Reservoir".
- International Lake Environment Committee – Reservoir Kuybyshev Archived 3 September 2009 at the Wayback Machine
- International Lake Environment Committee – Lake Kariba Archived 26 April 2006 at the Wayback Machine
- International Lake Environment Committee – Bratskoye Reservoir Archived 21 September 2010 at the Wayback Machine
- International Lake Environment Committee – Aswam high dam reservoir Archived 20 April 2012 at the Wayback Machine
- International Lake Environment Committee – Caniapiscau Reservoir Archived 19 July 2009 at the Wayback Machine
- International Lake Environment Committee – Manicouagan Reservoir Archived 14 May 2011 at the Wayback Machine
- International Lake Environment Committee – Williston Lake Archived 21 July 2009 at the Wayback Machine
|Wikimedia Commons has media related to Reservoirs.|
- Department of Water Resources. "Reservoir Information". California Data Exchange Center. State of California.
- Global Journal of Research Engineering (USA). "Durability-Based Optimization of Reinforced Concrete Reservoirs Using Artificial Bee Colony Algorithm". Civil and Structural Engineering (GJRE-E).
- Integrated Publishing Association. "Modeling and Shape Optimization of Reinforced Concrete Reservoirs Using Particle Swarm Algorithm". International Journal of Civil and Structural Engineering.