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Subject- Water Resources Engineering
By
Denish Jangid
Assistant Professor
Civil Engineering Department
Cross Drainage Works
• Cross Drainage Works: Types- selection of
suitable type of CD works- aqueduct and
Syphon
• Aqueduct- determination of maximum flood
discharge and waterway for drain, fluming of
canal- uplift pressure on underside of barrel
roof and at the floor of the culvert- design of
bank connections
• Irrigational Canals while carrying water from
headworks to crop field, have to cross few
natural drainage streams, nallaha, etc.. To cross
those drainages safely by the canals, some
suitable structures are required to construct.
Works required to construct, to cross the
drainage are called Cross Drainage Works
(CDWs). At the meeting point of canals and
drainages, bed levels may not be same.
Depending on their bed levels, different
structures are constructed and accordingly they
are designated by different names.
• In an Irrigation project, when the network of
main canals, branch canals, distributaries, etc..
are provided, then these canals may have to
cross the natural drainages like rivers,
streams, nallahs, etc. at different points within
the command area of the project. The
crossing of the canals with such obstacle cannot
be avoided. So, suitable structures must be
constructed at the crossing point for the
easy flow of water of the canal and drainage in
the respective directions. These structures are
known as cross-drainage works.
• The water-shed canals do not cross natural drainages.
But in actual orientation of the canal network, this ideal
condition may not be available and the obstacles like
natural drainages may be present across the canal. So, the
cross drainage works must be provided for running the
irrigation system.
• At the crossing point, the water of the canal and the
drainage get intermixed. So, for the smooth running of the
canal with its design discharge the cross drainage works
are required.
• The site condition of the crossing point may be such
that without any suitable structure, the water of the canal
and drainage can not be diverted to their natural
directions. So, the cross drainage works must be provided
to maintain their natural direction offlow.
• TypeI(Irrigation canal passes over the drainage)
• (a) Aqueduct
• (b) Siphon Aqueduct
• TypeII(Irrigation canal passes below the drainage)
• (a) Super passage
• (b) Siphon super passage
• TypeIII(Drainage and canal intersection each other of
the same level)
• (a) Level crossing
• (b) Inlet and outlet
• Relative bed levels & Discharge
• Availability of suitable foundation
• Economical consideration
• Discharge of the drainage
• Construction problems
• Provision of road
• Size of drainage
• Permissible loss of head
• Material of construction
• Type-I Irrigation canal Passes over the Drainage:
This condition involves the construction of
following:
• Aqueduct
• The hydraulic structure in which the irrigation
canal is taken over the drainage (such as river,
stream etc..) is known as aqueduct. This structure
is suitable when bed level of canal is above the
highest flood level of drainage. In this case, the
drainage water passes clearly below the canal.
Aqueduct:Canalcrossingover aDrain andWater level in the drain fairly below the canal
bed
• In a hydraulic structure where the canal is
taken over the drainage, but the drainage
water cannot pass clearly below the canal. It
flows under siphonic action. So, it is known as
siphon aqueduct. This structure is suitable
when the bed level of canal is below the
highest flood level.
• Type-II Irrigation canal passes below the
drainage.
• Super Passage
• The hydraulic structure in which the drainage
is taken over the irrigation canal is known as
super passage. The structure is suitable when
the bed level of drainage is above the full
supply level of the canal. The water of the
canal passes clearly below the drainage.
• The hydraulic structure in which the drainage
is taken over the irrigation canal, but the
canal water passes below the drainage under
siphonic action is known as siphon super
passage. This structure is suitable when the
bed level of drainage is below the full supply
level of the canal.
• Type III Drainage and Canal Intersect each
other at the same level.
• Level Crossings
• When the bed level of canal and the stream are
approximately the same and quality of water in canal
and stream is not much different, the cross drainage
work constructed is called level crossing where water
of canal and stream is allowed to mix. With the help of
regulators both in canal and stream, water is disposed
through canal and stream in required quantity. Level
crossing consists of following components (i) crest
wall (ii) Stream regulator (iii) Canal regulator.
• Inlet and Outlet
• When irrigation canal meets a small stream or
drain at same level, drain is allowed to enter the
canal as in inlet. At some distance from this inlet
point, a part of water is allowed to drain as outlet
which eventually meets the original stream.
Stone pitching is required at the inlet and outlet.
The bed and banks between inlet and outlet are
also protected by stone pitching. This type of
CDW is called Inlet and Outlet.
1. At the site, the drainage should cross the
canal alignment at right angles. Such a
site provides good flow conditions and also the
cost of the structure is usually
a minimum.
2. The stream at the site should be stable and
should have stable banks.
3. For economical design and construction of
foundations, a firm and strong sub-stratum
should exit below the bed of the drainage at a
reasonable depth.
4. The site should be such that long and high
approaches of the canal are not required.5.
The length and height of the marginal banks
and guide banks for the drainage should be
small.
6. In the case of an aqueduct, sufficient
headway should be available between the
canal trough and the high flood level of the
drainage.
7. The water table at the site should not be
high, because it will create dewatering
problems for laying foundations.
8. As far as possible, the site should be selected d/s of the
confluence of two streams, thereby avoiding the necessity
of construction of two cross-drainage works.
9. The possibility of diverting one stream into another
stream upstream of the canal crossing should also be
considered and adopted, if found feasible and economical.
10. A cross-drainage work should be combined with a
bridge, if required. If necessary, the bridge site can be
shifted to the cross-drainage work or vice versa. The cost
of the combined structure is usually less. Moreover, the
marginal banks and guide banks required for the
river training can be used as the approaches for the village
roads.
Change the alignment of canals
Diverting small drainage into large drainage.
• The following factors should be considered:
• (i) Relative Bed Level
• According to the relative bed levels of the canal and the river or
drainage, the type of cross drainage work are generally selected
which has been discussed earlier. But some problems may come at
the crossing point
• Thefollowing points should be remembered while recommending
the type of work,
• (a) The crossing should be at right angle to each other,
• (b) Well defined cross-section of the river or drainage should be
available.
• (c) At the crossing point the drainage should be straight for a
considerable length.
• (d) The width of the drainage should be narrow as far as possible.
• Considering the above points The C/s can be shifted to the
downstream or upstream.
Availability of Suitable Foundation
• For the construction of cross drainage works
suitable foundation is required. By boring test,
if suitable foundation is not available, then the
type of cross drainage work should be selected
to site Condition.
Economic Consideration
• The cost of construction of cross drainage
works should be justified with respect to the
project cost and overall benefits of the project.
So, the type of works should be selected
considering the economical point ofview.
Discharge of the drainage
Practically the discharge of the drainage is very
uncertain in rainy season. So, the structure
should be carefully selected so that it may not be
destroyed due to unexpected heavy discharge of
the river or drainage.
Construction of Problems
• Different types of constructional problems may
arise at the site such as sub soil water, construction
materials, communication, availability of land etc. So
the type of works should be selected according to the
site condition.
• The high flood discharge for smaller drain can be
worked out by using empirical formulas; and for
large drains other methods such as Hydrograph
analysis, Rational formula, etc may be used.
• In general the methods used in the estimation of the
flood flow can be group as:
• Physical Indications of past floods
• Empirical formulae and curves
• Overland flow hydrograph and unit hydrograph
• Physical Indications of past floods- flood marks and local
inquiry:
• The maximum flood discharge may be approximately
estimated by enquiring from the residents in the village
situated on the banks of the river about the flood marks
that the high flood in their memory in the past may have
left on the river banks.
• By noting the high water marks along the banks of the
river the cross-section area and wetted perimeter of the
flow section as well as the water surface slope may be
computed and using the manning’s formulae, with suitable
assumed value of the flood discharge may be determined.
• Estimation of maximum flood discharge from rating curve:
During
 the periodof high flood,it is almost impossible to measure
the
 discharge by making the use of markings of the high water
marks
 on the banks of the river, the elevated water level, can be
 calculated. Making use of this values high water marks in
meters
 the value of maximum flood discharge can be calculated, by
 extrapolation from the stage or rating dischargecurve
• The above mentioned curve needs to be extended for the higher
value of stage. It is done by using following methods.
• Simple Judgment
• Logarithmic method
• The above mentioned curve needs to be extended for the higher
value of stage, it is done by using following methods.
• (a) Simple Judgment
• (b) Logarithmic Method
• (a) Simple Judgment
The rating curve can be extended, by simple
Judgment.
Simple Judgment method
• (b) Logarithmic method:
The following equation can be used to extend the rating curve
Q=Kdn
Where,
Q= Discharge (Cumecs)
d= Stage in (m)
K,n =Constants
By taking logarithms of both sides, we get,
LogQ=log k+n Logd
If the available curve is plotted on a log-log paper, then it
should be a straight line.
This line can be extended to calculate the discharge at a
higher stage.
Logarithmic method
Empirical Formulas
Several empirical formula have been developed for estimating
the maximum or peak value of flood discharge. In these
formulae the maximum flood discharge Q of a river is
expressed as a function of the catchment area A. Most of
these formulae may be written in a general form as:
• Q =CAn
Where, Cis coefficient and n is index, Both Cand n depend
upon various factor, such as
(i)Size ,shape and location of catchment ,
(ii) Topography of the catchment,
(iii)intensity and duration of rainfall and distribution pattern
of the storm over catchment area.
• Dicken’s formula:
Q =CA¾
Where,
Q=Maximum flood Discharge in cumec.
A=Area of Catchment in sq.Km
C=coefficient depending upon the region
The maximum value of C=35.
• Ryve’s Formula:
Q=CA2/3
Where, Q=discharge in cumec
A=Catchment Area in Sq. .Km
C=coefficient depending upon the region
Discharge
Rational Method:
In this method it is assumed that the maximum flood flow is produced
by a certain rainfall intensity which lasts for a time equal to or greater
than the period of concentration time. When a storm continues
beyond concentration time every part of the catchment would be
contributing to the runoff at outlet and therefore it represents
condition of peak runoff. The runoff corresponding to this condition is
given by:
Q =2. 78 CIcA
Where, Q =Discharge in Cumec,
catc
C=Coefficient which depends upon the characteristics of the
hment.
Ic= The critical Intensity of rainfall (cm/hr) corresponding to the time
of Concentration (tc) of the catchment for a given recurrence interval
obtained from the intensity of duration frequency curves.
A=Catchment Area in Km2
Rational Method:
Inglis formula:
• Q= 124 A = 124 A½
√A+ 10.4
Where Q= discharge in cumec
A=area of catchment in Sq..Km.
Inglish formula is derived by using the data of rivers of
Mahashtra, where it is commonly used.
Ali Nawab JangBahadur formula:
Q=CA( 0.993- 1/14 logA)
Where, Q= Discharge in Cumec
A=area of catchment insq .km
C=Coefficient which varies from 48 to 60.
• Myer’s formula
• Q= 175 √A
• Where,
• Q= Discharge in Cumec
• A=Area of Catchment in Sq..Km.
Envelop Curves:
• Areas having similar topographical features and
climatic conditions are grouped together. All Available
data regarding discharges and flood formulae are
compiled along their respective catchment areas. The
maximum discharges are then plotted against the
areas of the drainage basins and a curve is drawn to
cover or envelop the highest plotted points, which is
known as envelope curve. By using envelop curves the
maximum flood discharge may be estimated if the area
of the drainage basin is known.
• Overland flow Hydrograph and Unit Hydrograph:
• AHydrograph is a graphical plot of discharge of a natural stream
or river versus time. It shows variation of discharge with time, at a
particular point of a stream. It also shows the time distribution of
total runoff at the point of measurement. Discharge is usually
expressed in cumec or hectare-metre per day and time is expressed
in hours, days or months. Discharge is plotted on Y-axis and the
corresponding time is plotted on X-axis.
• Unit Hydrograph: A unit Hydrograph is a hydrograph
representing 1 cm of runoff from a rainfall of some duration and
specific areal distribution.
• Unit Hydrograph is defined as the hydrograph of surface runoff of
a catchment area resulting from unit depth of rainfall excess or net
rainfall occurring uniformly over the basin at uniform rate for a
specified duration.
• When a unit hydrograph is available for the
catchment under consideration, it can be applied to
the design storm to yield the design flood
hydrograph from which peak flood value can be
obtained.
• Whenever possible it is advisable to use the unit
hydrograph method to obtain the peak flood. It gives
not only the flood peak but also the complete flood
hydrograph which is essentially required in
determining effective storage of reservoir on flood
peak through flood routing.
• The Contraction in the waterway of the canal (i.e. fluming of
canal) will reduce the length of barrels or the width of the
aqueduct. This is likely to produce economy in many cases. The
fluming of canal is generally not done when the canal section is
in earthen banks.
• The maximum fluming is generally governed by the extent that
the trough should remain subcritical, because if supercritical
velocities are generated, then the transition back to the normal
section on the downstream side of the work may involve the
possibility of the formation of a hydraulic jump, This hydraulic
jump, where not specially required and designed for, would lead
to undue loss of head and large stresses on the work. The extent
of fluming is further governed by economy and permissible loss
of head. The greater is the fluming, the greater is the length of
transition wings upstream as well as down stream. This extra
cost of transition wings is balanced by the saving obtain due to
reduction in the width of the aqueduct. Hence an economical
balance has to be worked out for any proposeddesign.
• After deciding the normal canal section and the flumed canal section,
the transition has to be designed so as to provide a smooth change
from one stage to the other, so as to avoid sudden transitions and the
formation of eddies, etc For this reason, the u/s or approach wings
should not be steeper than 26.5 and the d/s or departure wings
should not be steeper than 18.5. Generally the normal earthen canal
is trapezoidal, while the flumed pucca canal section is rectangular. It
is also not necessary to keep the same depth in the normal and
flumed sections. Rather, it may sometimes be economical toincrease
the depth and still further reduce the channel width in cases where a
channel encounters a reach of rocky terrain and has to be flumed to
curtail rock excavation. But an increase in the water depth in the
canal trough will certainly increase the uplift pressure on the roofas
well as floor of the culvert, thus requiring larger roof and floor
sections and lower foundations. Due to these reasons, no appreciable
economy may be obtained by increasing depth.
• The following methods may be used for designing
the channel transitions:
• Mitra’s method of design of transition (when water
depth remains constant)
• Chaturvedi’s method of design of transitions(when
the depth remains constant)
• Hind’s method of design of transitions (when water
depth may or may notvary).
• Mitras method of design Transition when water depth
remains constant:
• Shri A.C. Mitra, Chief Engineer, U.P, Irrigation Department
has proposed a hyperbolic transition for the design of
channel transitions. According to him, the channel width at
any section X-X, at a distance x from the flumed section is
given by.
• Prof R.S Charturvedi, Head of Civil Engineering
Dept, in Roorkee University, on the basis of his own
experiments, had proposed the following equation
for the design of channel transitions when water
depth remains constant.
• Two sets of wings are required in aqueducts and syphon-
aqueducts. These are:
• Canal wings or Land wings
• Drainage Wings or Water Wings
• Canal Wings: These wings provide a strong connection between
masonary or concrete sides of a canal trough and earthen canal
banks. These wings are generally warped in plan so as to change
the canal section from trapezoidal to rectangular. They should be
extended upto the end of splay. These wings may be designed as
retaining walls for maximum differential earth pressure likely to
come on them with no water in the canal. The foundations of
these wings should not be left on filled earth. They should be
taken deep enough to give safe creep length.
• Drainage Wings or Water Wings or River Wings:
These wing walls retain and protect the earthen slopes
of the canal, guide the drainage water entering and
leaving the work, and join it to guide banks and also
provide a vertical cut-off from the water seeping from
the canal into drainage bed. The foundations of these
wings wall should be capable of withstanding the
maximum differential pressure likely to come on
them.
• The layouts of these sets of wings depend on the extent
of contraction of canal and drainage waterways, and
the general arrangement of the work.
• Uplift Pressure on the Barrel Roof
• The amount of the uplift pressure exerted by the drain
water on the roof of the culvert can be evaluated by
drawing the hydraulic Gradient line(H.G).
• The uplift pressure at any point under the roof of the
culvert will be equal to the vertical ordinate between
hydraulic gradient line and the underside of the canal
trough at that point From the uplift diagram it is very
evident that the maximum uplift occurs at the upstream
end point near the entry. The slab thickness should be
designed to withstand this maximum uplift.
Theuplift pressure exerted by the drain water on the roof of the culvert
• The floor of the aqueduct or siphon is subjected to
uplift due to two cases:
• (a) Uplift due to Water-Table: This force acts where
the bottom floor is depressed below the drainage bed,
especially in syphon aqueducts.
• The maximum uplift under the worst condition would
occur when there is no water flowing in the drain and
the watertable has risen up to the drainage bed. The
maximum net uplift in such case would be equal to
the difference in level between the drainage bed and
the bottom of the floor.
• (b) Uplift Pressure due to Seepage of water from the canal to the
drainage.
• The maximum uplift due to this seepage occurs when the canal is
running full and there is no water in the drain. The computation of
this uplift due to this seepage occurs when the canal is running full
and there is no water in the drain. The computation of this uplift,
exerted by the water seeping from the canal on the bottom of the
floor, is very complex and difficult, due to the fact that the flow
takes place in three dimensional flow net. The flow cannot be
approximated to a two dimensional flow, as there is no typical
place across which the flow is practically two dimensional. Hence,
for smaller works, Beligh’s Creep theory may be used for assessing
the seepage pressure, But for larger works, the uplift pressure must
be checked by model studies.
Thefloor of the aqueduct or siphon subjected to uplift
• Describe with the help of sketches various types ofCross-drainage
works.
• What do you understand by a fall in canal? Why it is
necessary?
• What are the functions of a canal head regulator?
• Discuss, in brief, the various types of cross-drainage works on a
canal, including conditions of suitability of the each work.
• Explain functions of cross regulator and distributory head
regulator.
• Discuss the methods for estimation of the design discharge and
waterway for a drain at an aqueduct.
• Explain method of finding out uplift pressure on barrels of a
siphon aqueduct.
DJ

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unit 4 vsem cross drainage works & srturcture water resource engineering Siphon Aqueduct

  • 1. Subject- Water Resources Engineering By Denish Jangid Assistant Professor Civil Engineering Department Cross Drainage Works
  • 2.
  • 3.
  • 4. • Cross Drainage Works: Types- selection of suitable type of CD works- aqueduct and Syphon • Aqueduct- determination of maximum flood discharge and waterway for drain, fluming of canal- uplift pressure on underside of barrel roof and at the floor of the culvert- design of bank connections
  • 5. • Irrigational Canals while carrying water from headworks to crop field, have to cross few natural drainage streams, nallaha, etc.. To cross those drainages safely by the canals, some suitable structures are required to construct. Works required to construct, to cross the drainage are called Cross Drainage Works (CDWs). At the meeting point of canals and drainages, bed levels may not be same. Depending on their bed levels, different structures are constructed and accordingly they are designated by different names.
  • 6. • In an Irrigation project, when the network of main canals, branch canals, distributaries, etc.. are provided, then these canals may have to cross the natural drainages like rivers, streams, nallahs, etc. at different points within the command area of the project. The crossing of the canals with such obstacle cannot be avoided. So, suitable structures must be constructed at the crossing point for the easy flow of water of the canal and drainage in the respective directions. These structures are known as cross-drainage works.
  • 7. • The water-shed canals do not cross natural drainages. But in actual orientation of the canal network, this ideal condition may not be available and the obstacles like natural drainages may be present across the canal. So, the cross drainage works must be provided for running the irrigation system. • At the crossing point, the water of the canal and the drainage get intermixed. So, for the smooth running of the canal with its design discharge the cross drainage works are required. • The site condition of the crossing point may be such that without any suitable structure, the water of the canal and drainage can not be diverted to their natural directions. So, the cross drainage works must be provided to maintain their natural direction offlow.
  • 8.
  • 9. • TypeI(Irrigation canal passes over the drainage) • (a) Aqueduct • (b) Siphon Aqueduct • TypeII(Irrigation canal passes below the drainage) • (a) Super passage • (b) Siphon super passage • TypeIII(Drainage and canal intersection each other of the same level) • (a) Level crossing • (b) Inlet and outlet
  • 10. • Relative bed levels & Discharge • Availability of suitable foundation • Economical consideration • Discharge of the drainage • Construction problems • Provision of road • Size of drainage • Permissible loss of head • Material of construction
  • 11. • Type-I Irrigation canal Passes over the Drainage: This condition involves the construction of following: • Aqueduct • The hydraulic structure in which the irrigation canal is taken over the drainage (such as river, stream etc..) is known as aqueduct. This structure is suitable when bed level of canal is above the highest flood level of drainage. In this case, the drainage water passes clearly below the canal.
  • 12.
  • 13.
  • 14. Aqueduct:Canalcrossingover aDrain andWater level in the drain fairly below the canal bed
  • 15. • In a hydraulic structure where the canal is taken over the drainage, but the drainage water cannot pass clearly below the canal. It flows under siphonic action. So, it is known as siphon aqueduct. This structure is suitable when the bed level of canal is below the highest flood level.
  • 16.
  • 17.
  • 18. • Type-II Irrigation canal passes below the drainage. • Super Passage • The hydraulic structure in which the drainage is taken over the irrigation canal is known as super passage. The structure is suitable when the bed level of drainage is above the full supply level of the canal. The water of the canal passes clearly below the drainage.
  • 19.
  • 20.
  • 21. • The hydraulic structure in which the drainage is taken over the irrigation canal, but the canal water passes below the drainage under siphonic action is known as siphon super passage. This structure is suitable when the bed level of drainage is below the full supply level of the canal.
  • 22.
  • 23.
  • 24. • Type III Drainage and Canal Intersect each other at the same level. • Level Crossings • When the bed level of canal and the stream are approximately the same and quality of water in canal and stream is not much different, the cross drainage work constructed is called level crossing where water of canal and stream is allowed to mix. With the help of regulators both in canal and stream, water is disposed through canal and stream in required quantity. Level crossing consists of following components (i) crest wall (ii) Stream regulator (iii) Canal regulator.
  • 25.
  • 26.
  • 27. • Inlet and Outlet • When irrigation canal meets a small stream or drain at same level, drain is allowed to enter the canal as in inlet. At some distance from this inlet point, a part of water is allowed to drain as outlet which eventually meets the original stream. Stone pitching is required at the inlet and outlet. The bed and banks between inlet and outlet are also protected by stone pitching. This type of CDW is called Inlet and Outlet.
  • 28.
  • 29. 1. At the site, the drainage should cross the canal alignment at right angles. Such a site provides good flow conditions and also the cost of the structure is usually a minimum. 2. The stream at the site should be stable and should have stable banks. 3. For economical design and construction of foundations, a firm and strong sub-stratum should exit below the bed of the drainage at a reasonable depth.
  • 30. 4. The site should be such that long and high approaches of the canal are not required.5. The length and height of the marginal banks and guide banks for the drainage should be small. 6. In the case of an aqueduct, sufficient headway should be available between the canal trough and the high flood level of the drainage. 7. The water table at the site should not be high, because it will create dewatering problems for laying foundations.
  • 31. 8. As far as possible, the site should be selected d/s of the confluence of two streams, thereby avoiding the necessity of construction of two cross-drainage works. 9. The possibility of diverting one stream into another stream upstream of the canal crossing should also be considered and adopted, if found feasible and economical. 10. A cross-drainage work should be combined with a bridge, if required. If necessary, the bridge site can be shifted to the cross-drainage work or vice versa. The cost of the combined structure is usually less. Moreover, the marginal banks and guide banks required for the river training can be used as the approaches for the village roads.
  • 32. Change the alignment of canals Diverting small drainage into large drainage.
  • 33. • The following factors should be considered: • (i) Relative Bed Level • According to the relative bed levels of the canal and the river or drainage, the type of cross drainage work are generally selected which has been discussed earlier. But some problems may come at the crossing point • Thefollowing points should be remembered while recommending the type of work, • (a) The crossing should be at right angle to each other, • (b) Well defined cross-section of the river or drainage should be available. • (c) At the crossing point the drainage should be straight for a considerable length. • (d) The width of the drainage should be narrow as far as possible. • Considering the above points The C/s can be shifted to the downstream or upstream.
  • 34. Availability of Suitable Foundation • For the construction of cross drainage works suitable foundation is required. By boring test, if suitable foundation is not available, then the type of cross drainage work should be selected to site Condition.
  • 35. Economic Consideration • The cost of construction of cross drainage works should be justified with respect to the project cost and overall benefits of the project. So, the type of works should be selected considering the economical point ofview.
  • 36. Discharge of the drainage Practically the discharge of the drainage is very uncertain in rainy season. So, the structure should be carefully selected so that it may not be destroyed due to unexpected heavy discharge of the river or drainage.
  • 37. Construction of Problems • Different types of constructional problems may arise at the site such as sub soil water, construction materials, communication, availability of land etc. So the type of works should be selected according to the site condition.
  • 38.
  • 39. • The high flood discharge for smaller drain can be worked out by using empirical formulas; and for large drains other methods such as Hydrograph analysis, Rational formula, etc may be used. • In general the methods used in the estimation of the flood flow can be group as: • Physical Indications of past floods • Empirical formulae and curves • Overland flow hydrograph and unit hydrograph
  • 40. • Physical Indications of past floods- flood marks and local inquiry: • The maximum flood discharge may be approximately estimated by enquiring from the residents in the village situated on the banks of the river about the flood marks that the high flood in their memory in the past may have left on the river banks. • By noting the high water marks along the banks of the river the cross-section area and wetted perimeter of the flow section as well as the water surface slope may be computed and using the manning’s formulae, with suitable assumed value of the flood discharge may be determined.
  • 41. • Estimation of maximum flood discharge from rating curve: During  the periodof high flood,it is almost impossible to measure the  discharge by making the use of markings of the high water marks  on the banks of the river, the elevated water level, can be  calculated. Making use of this values high water marks in meters  the value of maximum flood discharge can be calculated, by  extrapolation from the stage or rating dischargecurve • The above mentioned curve needs to be extended for the higher value of stage. It is done by using following methods. • Simple Judgment • Logarithmic method • The above mentioned curve needs to be extended for the higher value of stage, it is done by using following methods. • (a) Simple Judgment • (b) Logarithmic Method
  • 42. • (a) Simple Judgment The rating curve can be extended, by simple Judgment.
  • 44. • (b) Logarithmic method: The following equation can be used to extend the rating curve Q=Kdn Where, Q= Discharge (Cumecs) d= Stage in (m) K,n =Constants By taking logarithms of both sides, we get, LogQ=log k+n Logd If the available curve is plotted on a log-log paper, then it should be a straight line. This line can be extended to calculate the discharge at a higher stage.
  • 46. Empirical Formulas Several empirical formula have been developed for estimating the maximum or peak value of flood discharge. In these formulae the maximum flood discharge Q of a river is expressed as a function of the catchment area A. Most of these formulae may be written in a general form as: • Q =CAn Where, Cis coefficient and n is index, Both Cand n depend upon various factor, such as (i)Size ,shape and location of catchment , (ii) Topography of the catchment, (iii)intensity and duration of rainfall and distribution pattern of the storm over catchment area.
  • 47. • Dicken’s formula: Q =CA¾ Where, Q=Maximum flood Discharge in cumec. A=Area of Catchment in sq.Km C=coefficient depending upon the region The maximum value of C=35. • Ryve’s Formula: Q=CA2/3 Where, Q=discharge in cumec A=Catchment Area in Sq. .Km C=coefficient depending upon the region
  • 48. Discharge Rational Method: In this method it is assumed that the maximum flood flow is produced by a certain rainfall intensity which lasts for a time equal to or greater than the period of concentration time. When a storm continues beyond concentration time every part of the catchment would be contributing to the runoff at outlet and therefore it represents condition of peak runoff. The runoff corresponding to this condition is given by: Q =2. 78 CIcA Where, Q =Discharge in Cumec, catc C=Coefficient which depends upon the characteristics of the hment. Ic= The critical Intensity of rainfall (cm/hr) corresponding to the time of Concentration (tc) of the catchment for a given recurrence interval obtained from the intensity of duration frequency curves. A=Catchment Area in Km2
  • 50. Inglis formula: • Q= 124 A = 124 A½ √A+ 10.4 Where Q= discharge in cumec A=area of catchment in Sq..Km. Inglish formula is derived by using the data of rivers of Mahashtra, where it is commonly used. Ali Nawab JangBahadur formula: Q=CA( 0.993- 1/14 logA) Where, Q= Discharge in Cumec A=area of catchment insq .km C=Coefficient which varies from 48 to 60.
  • 51. • Myer’s formula • Q= 175 √A • Where, • Q= Discharge in Cumec • A=Area of Catchment in Sq..Km.
  • 52. Envelop Curves: • Areas having similar topographical features and climatic conditions are grouped together. All Available data regarding discharges and flood formulae are compiled along their respective catchment areas. The maximum discharges are then plotted against the areas of the drainage basins and a curve is drawn to cover or envelop the highest plotted points, which is known as envelope curve. By using envelop curves the maximum flood discharge may be estimated if the area of the drainage basin is known.
  • 53.
  • 54. • Overland flow Hydrograph and Unit Hydrograph: • AHydrograph is a graphical plot of discharge of a natural stream or river versus time. It shows variation of discharge with time, at a particular point of a stream. It also shows the time distribution of total runoff at the point of measurement. Discharge is usually expressed in cumec or hectare-metre per day and time is expressed in hours, days or months. Discharge is plotted on Y-axis and the corresponding time is plotted on X-axis. • Unit Hydrograph: A unit Hydrograph is a hydrograph representing 1 cm of runoff from a rainfall of some duration and specific areal distribution. • Unit Hydrograph is defined as the hydrograph of surface runoff of a catchment area resulting from unit depth of rainfall excess or net rainfall occurring uniformly over the basin at uniform rate for a specified duration.
  • 55.
  • 56. • When a unit hydrograph is available for the catchment under consideration, it can be applied to the design storm to yield the design flood hydrograph from which peak flood value can be obtained. • Whenever possible it is advisable to use the unit hydrograph method to obtain the peak flood. It gives not only the flood peak but also the complete flood hydrograph which is essentially required in determining effective storage of reservoir on flood peak through flood routing.
  • 57.
  • 58. • The Contraction in the waterway of the canal (i.e. fluming of canal) will reduce the length of barrels or the width of the aqueduct. This is likely to produce economy in many cases. The fluming of canal is generally not done when the canal section is in earthen banks. • The maximum fluming is generally governed by the extent that the trough should remain subcritical, because if supercritical velocities are generated, then the transition back to the normal section on the downstream side of the work may involve the possibility of the formation of a hydraulic jump, This hydraulic jump, where not specially required and designed for, would lead to undue loss of head and large stresses on the work. The extent of fluming is further governed by economy and permissible loss of head. The greater is the fluming, the greater is the length of transition wings upstream as well as down stream. This extra cost of transition wings is balanced by the saving obtain due to reduction in the width of the aqueduct. Hence an economical balance has to be worked out for any proposeddesign.
  • 59. • After deciding the normal canal section and the flumed canal section, the transition has to be designed so as to provide a smooth change from one stage to the other, so as to avoid sudden transitions and the formation of eddies, etc For this reason, the u/s or approach wings should not be steeper than 26.5 and the d/s or departure wings should not be steeper than 18.5. Generally the normal earthen canal is trapezoidal, while the flumed pucca canal section is rectangular. It is also not necessary to keep the same depth in the normal and flumed sections. Rather, it may sometimes be economical toincrease the depth and still further reduce the channel width in cases where a channel encounters a reach of rocky terrain and has to be flumed to curtail rock excavation. But an increase in the water depth in the canal trough will certainly increase the uplift pressure on the roofas well as floor of the culvert, thus requiring larger roof and floor sections and lower foundations. Due to these reasons, no appreciable economy may be obtained by increasing depth.
  • 60.
  • 61.
  • 62. • The following methods may be used for designing the channel transitions: • Mitra’s method of design of transition (when water depth remains constant) • Chaturvedi’s method of design of transitions(when the depth remains constant) • Hind’s method of design of transitions (when water depth may or may notvary).
  • 63. • Mitras method of design Transition when water depth remains constant: • Shri A.C. Mitra, Chief Engineer, U.P, Irrigation Department has proposed a hyperbolic transition for the design of channel transitions. According to him, the channel width at any section X-X, at a distance x from the flumed section is given by.
  • 64. • Prof R.S Charturvedi, Head of Civil Engineering Dept, in Roorkee University, on the basis of his own experiments, had proposed the following equation for the design of channel transitions when water depth remains constant.
  • 65. • Two sets of wings are required in aqueducts and syphon- aqueducts. These are: • Canal wings or Land wings • Drainage Wings or Water Wings • Canal Wings: These wings provide a strong connection between masonary or concrete sides of a canal trough and earthen canal banks. These wings are generally warped in plan so as to change the canal section from trapezoidal to rectangular. They should be extended upto the end of splay. These wings may be designed as retaining walls for maximum differential earth pressure likely to come on them with no water in the canal. The foundations of these wings should not be left on filled earth. They should be taken deep enough to give safe creep length.
  • 66. • Drainage Wings or Water Wings or River Wings: These wing walls retain and protect the earthen slopes of the canal, guide the drainage water entering and leaving the work, and join it to guide banks and also provide a vertical cut-off from the water seeping from the canal into drainage bed. The foundations of these wings wall should be capable of withstanding the maximum differential pressure likely to come on them. • The layouts of these sets of wings depend on the extent of contraction of canal and drainage waterways, and the general arrangement of the work.
  • 67. • Uplift Pressure on the Barrel Roof • The amount of the uplift pressure exerted by the drain water on the roof of the culvert can be evaluated by drawing the hydraulic Gradient line(H.G). • The uplift pressure at any point under the roof of the culvert will be equal to the vertical ordinate between hydraulic gradient line and the underside of the canal trough at that point From the uplift diagram it is very evident that the maximum uplift occurs at the upstream end point near the entry. The slab thickness should be designed to withstand this maximum uplift.
  • 68. Theuplift pressure exerted by the drain water on the roof of the culvert
  • 69. • The floor of the aqueduct or siphon is subjected to uplift due to two cases: • (a) Uplift due to Water-Table: This force acts where the bottom floor is depressed below the drainage bed, especially in syphon aqueducts. • The maximum uplift under the worst condition would occur when there is no water flowing in the drain and the watertable has risen up to the drainage bed. The maximum net uplift in such case would be equal to the difference in level between the drainage bed and the bottom of the floor.
  • 70. • (b) Uplift Pressure due to Seepage of water from the canal to the drainage. • The maximum uplift due to this seepage occurs when the canal is running full and there is no water in the drain. The computation of this uplift due to this seepage occurs when the canal is running full and there is no water in the drain. The computation of this uplift, exerted by the water seeping from the canal on the bottom of the floor, is very complex and difficult, due to the fact that the flow takes place in three dimensional flow net. The flow cannot be approximated to a two dimensional flow, as there is no typical place across which the flow is practically two dimensional. Hence, for smaller works, Beligh’s Creep theory may be used for assessing the seepage pressure, But for larger works, the uplift pressure must be checked by model studies.
  • 71. Thefloor of the aqueduct or siphon subjected to uplift
  • 72. • Describe with the help of sketches various types ofCross-drainage works. • What do you understand by a fall in canal? Why it is necessary? • What are the functions of a canal head regulator? • Discuss, in brief, the various types of cross-drainage works on a canal, including conditions of suitability of the each work. • Explain functions of cross regulator and distributory head regulator. • Discuss the methods for estimation of the design discharge and waterway for a drain at an aqueduct. • Explain method of finding out uplift pressure on barrels of a siphon aqueduct.
  • 73. DJ