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Bae
ayy
_—_
ainPublished by :
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SECOND EDITION : SEPT. 1995
REPRINT : JULY 1998
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REPRINT : AUG. 2008
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REPRINT : JUNE 2005
ISBN : 81-7008-092-4
EWS-0617-135-WATER SUPPLY ENGG
©1995 B.C. PUNMIA, ASHOK K. JAIN, ARUN K. JAIN
All Rights Reserved by the Authors.
This book, or parts thereof, may not be reproduced in any form or translated
in any other language, without the written permission of the Authors.
Price : Rs. 135.00 Only. ‘C—10774/05/06
DTP Composed by : Arihant Consultants, Jodhpur.
Printed at : Mehra Offset Press, DelhiCONTENTS
CHAPTER 1. WATER SYSTEMS
Li. Introduction ~
L2, Historical Development
13. Sources of Water as
4 ‘Water Supply Systems
CHAPTER 2. HYDROLOGY
24. The Water Cycle =
22. — Precipitation =
23. Measurement of Rainfall =
24. Computation of Average Rainfall over a Basin...
25. Evaporation and Transpiration
2.6. Run-off
27. Computation of Run-off a
Flood Discharge
CHAPTER 3. SURFACE SOURCES
3.
Storage Reservoirs
3.2, Investigations for Reservoir Planning
33. Selection of Site for a Reservoir
3.4, Storage Capacity and Yield 3
35, Dams =
3.6. Intakes =
CHAPTER 4 GROUND WATER : WELLS
4.1, Introduction ~
42 Types of Aquifers ~
43. Storage Coefficient ~
44. Well Hydraulics z
45. Determination of Aquifer Constant T =
46. Characteristic Well Losses :
Specific Capacity of Well ~
4.7, Interference Among Wells we
onane
10
BBSUES
32
S2e8a8
zsaRz
ezce}
48. Fully Penetrating Artesian-gravity Well 81
49. Partially Penetrating Artesian Well 82
4.10. Spherical Flow in a Well 83
4.11, Tube Wells sn 84
4.12. Methods for Drilling Tube Wells “ a
4.13, Well Shrou and Well Devel ent
414. Open Wells ~ 9
4.15. Yield of an Open Well ~ 102
4.16. Selection of Suitable Site for a Tube Well 106
4.17. Section of a Tube Well “ 107
4.18. Unsteady Flow - 8
4.19. Other Sources of Underground Water ~ 130
4.20. Radial Collector Wells i 135
CHAPTER 5. WATER DEMAND AND QUANTITY
5.1. Introduction om 139
5.2. Design Period - 139
s3. Population Forecast ~ 140
5.4. Factors Affecting Population Growth 149
53. Determination of Population for Inter-censal
and_Post-censal Years 149
4.6. Water Demand 156
i2. Factors Affecting Rate of Demand 161
$8 Variations in Rate of Demand =~ 162
CHAPTER 6 QUALITY OF WATER
6.1, Introduction 166
62 Common Impurities in Water and their Effect 167
63. Quality of Source ser 169
64, Water Analysis - 173
$3. Physical Examination 7 174
66. Chemical Examination 178
6.7. ‘Micro-organisms in Water - 189
68. Microbiological Examination of Water - 196
69. The Nuisance Bacteria - 204
6.10. Common Water-bome Diseases se 205
6.11. Standards of Purified Water 208RBREEBRE
Types of Acrators
Factors Governing Aeration or Gas Transfer
Design of Gravity Aerators
Design of Fixed Spray Aerators
8.10. Limitations of Aeration
CHAPTER 9. SEDIMENTATION
9.1. Introduction
9.2. Types of Settlings
93, Settling of Discrete Particles
9.4. ‘Types of Sedimentation Tanks
95. Horizontal Flow Sedimentation Tank
96. Size-weight Composition and Removal
9.7. Maximum Velocity to Prevent Bed Uplift
or Scour
98. Design Elements
29. Settling Tank Efficiency
9.10. Details of Plain Sedimentation Tanks
9.11. Sedimentation with Coagulation : Clarification
9.12 Common Coagulants
9.13. Methods of Feeding Coagulants
SRERREBRE
BRREREERE
ZPEREBBBB
3;
R
8
8g
252
RRREER9.14.
9.15.
9.16,
9.17.
9.18.
9.19.
9.20.
9.21.
(ai)
Mixing Devices
Flocculation
Clarification _-
Sludge Blanket Tanks or Solid
Contact Clarifiers
* The Pulsator Clarifier
Shallow Depth Sedimentation : Tube Settler
Ilustrative Examples
Design Examples
CHAPTER 10. FILTRATION
10.1.
102
103.
104.
10.5.
10.6.
10.7.
108.
10.9.
10.10.
10.11.
10.12,
10.13.
10.14.
10.15.
10.16,
10.17.
10.18.
10.19,
10.20.
10.21.
Introduction
Theory of Filtration
Classification of Filters.
Filter Media
Slow Sand Filters
Rapid Sand Filter : Gravity Type
Working and Washing of Rapid Sand Filters
Loss of Head and Negative Head
Filter Troubles
Performance of Rapid Sand Filters
Comparison of Slow Sand and
Rapid Sand Filters
Filtration Hydraulics =
Carmen-Kozney Equation :
Rose Equation
Flow through Expanded Beds
Pressure Filters
Double Filtration : Roughing Filter
Dual Media and Mixed Media Filters
Upfiow Filters
Biflow Filters
Micro-strainers
Distomite Filters
Xy
=
BEeER RS
EE
M2
345
353
355
355
357
359
3599)
CHAPTER 11. DISINFECTION
Mt.
12.
113.
14,
us.
11.6.
11.10.
MLL.
MI,
11.13.
Introduction
Methods of Disinfection
Minor Methods of Disinfection
Chlorination
Forms of Application of Chlorine
Application of Chlorine
Forms of Chlorination
Tests for Free and Combined Chlorine
Factors Affecting Bactericidal Efficiency
of Chlorine
Kinetics of Chemical Disinfection
Todine Treatment
Bromine Treatment
Ozone Treatment (ozonation)
CHAPTER 12. WATER SOFTENING
12.1.
12.2.
123.
12.4.
125.
126.
127.
128.
CHAPTER 13. MISCELLANEOUS TREATMENT METHODS
BA.
132,
133.
134.
BS.
136.
13.7.
Introduction
‘Type of Hardness and Methods of
their Removal
Lime-soda Process
Lime-soda Softening Plant
Water Softening Accelerator
Zeolite Process
‘Advantages and Disadvantages of Lime Soda
and Zeolite Process
Demineralisation or Deionisation Process
Removal of Iron and Manganese
Colour Odour and Taste Removal
Activated Carbon Treatment
Use of Copper Sulphate
Fluoridation
Defiuoridation.
DesalinationGai)
CHAPTER 14. PUMPS AND PUMPING
14.1. Necessity of Pumping
14.2 ‘Types of Pumps and their Choice
143. Displacement Pumps
14.4, Centrifugal Pumps
145. Comparsion of Reciprocating and
Centrifugal Pumps
146. Jet Pump
14.7. Air Lift Pumps
148. Well Pumps
14.9. Centrigual Pump Installation
14.10. Characteristics of Centrifugal Pump
14.11, Multiple Pump Systems
14.12, Variable Speed Operation
14.13. Suction Lift Limitations : Cavitation
14.14, System Head Curve
14.15. Operating Point or Operating Range
of a Pump
14,16. Selection of Pumping Units
14.17. Power Requirements of Pumps
14.18. Economical Diameter ef Pumping Mains
CHAPTER 1S, CONVEYANCE OF WATER
15.1. Introduction
15.2. Pipes
15.3. Cast Iron Pipes
15.4. Wrought Iron and Galvanised Iron Pipes
155. Steel Pipes
156. Cement Concrete Pipes
15.7. Asbestos Cement Pipes
15.8. Copper and Lead Pipes
15.9, Wood-stave Pipes
15.10, Plastic Pipes
15.11. Stresses in Pipes
15.12. Corrosion in Pipes
427
427
430
433
435
436
437
474
7.
5
2
BEREREES
s
91o)
15.13. Pipe Appertenances
15
14. Head Loss through Pipes
CHAPTER 16. DISTRIBUTION OF WATER
16.1.
16.2.
163.
16.4,
16.5.
16.6.
16.7.
168.
16.9.
Introduction
Methods of Distribution
Pressure in Distribution Mains
Systems of Water Supply
Storage and Distribution Reservoirs
Types of Storage and Distribution Reservoirs
Capacity of Distribution Reservoir
Pipe Hydraulics
Pipes in Series and Parallel
16.10. Layout of Distribution System
16.11. Design of Distribution System
16.12, Analysis of Pressure in Distribution System
16.13. Hardy Cross Method
CHAPTER 17, WATER SUPPLY FOR BUILDINGS
17.1
17.2,
173.
174.
175.
176.
Materials for Service Pipes
Service Connection
Size of Service Pipes
Water Meters
Valves
Loss of Head through Pipes and Pipe Fittings
APPENDIX
INDEX
494
499
504
505
506
507
508
509
51
523
542
552
555
558
562
570
sm
572
573
574
575
88Water Systems
1.1. INTRODUCTION
The five essential requirements for human existence are : (i)
air (i) water (iii) food (jv) heat and (y) light. Contamination of
these elements may cause serious health hazards not only to man
but also to ‘animal and plant life. Environmental Engineering deals
with all these essential elements.
The use of water by man, plants and animals is universal.
Without it, there can be no life. Every living thing requires water.
Man and animals not only consume water, but they also consume
vegetation for their food. Vegetation, in turn, cannot grow without
water. Growth of vegetation also depends upon bacterial action, while
bacteria need water in order to thrive. The bacterial action can convert
vegetable matter into productive soil. New plants, which grow in
this soil, grow by sucking nutrients through their roots in the form
of solution in water. Thus an ecological chain is maintained. Water
maintains an ecological balance - balance in the relationship between
living things and environment in which they live.
The use of water is increasing rapidly with our growing popula-
tion. Already there are acute shortages of both surface and under
ground waters in many parts of the country. Careless pollution and
contamination of the streams, lakes, reservoirs, wells and other under
ground sources has greatly impaired the quality of available water.
This pollution results because of improper disposal of waster water
—both domestic as well as industrial. Organised community life require
twin services of water supply and sewage disposal. Good sanitation
cannot be maintained without adequate water supply system. Without
@2 WATER SUPPLY ENGINEERING
proper disposal, the wastes of a community can create intolerable
nuisance, spread diseases and create other health hazards. The planning,
designing, financing and operation of water and waste water systems
are complex undertakings, and they require a high degree of skill
and judgement. The work of construction and maintenance of water
supply and waste water disposal systems is generally undertaken by
Government agencies ~ mostly through Public Health Engineering ot
Environmental Engineering Departments consisting of Civil Engineers.
1.2. HISTORICAL DEVELOPMENT
Man's search for pure water began is prehistoric times. The
story of water supply begins with the growth of ancient capital cities,
or religious and trade centres. In olden days, most of community
settlements throughout the World were made near springs, lakes
and rivers from where the water supply for drinking and irrigation
purposes was obtained. Rig Veda (4000 years B.C) makes a mention
of digging of wells. Similarly, Ramayana, Mahabhartha and Puranas
make mention of wells as the principal source of water supply. These
wells were mostly of shallow depth, dug near river banks. Water
was lifted from the -wells through indegenous methods. However,
no water treatment or distribution works existed. Apart from India
(Bharat), other major civilisations of the World, such as Greece,
Egypt, Assyria etc. used wells for their settlements which were located
slightly away from springs, lakes and rivers. Joseph’s well at Cairo
is one of the oldest deep wells excavated in rock to a depth of
about 300 feet. These wells, however, caused water supply problems
during periods of drought. It became necessary, therefore, to store
water. Cisterns were constructed for collecting rain water while reser-
voirs were constructed to store water from streams and rivers during
monsoon period. The stored water was conveyed to towns through
masonry conduits and aqueducts. The earlier examples are the
aqueducts built by Appius Claudius in about 312 B.C. for water
supply to Rome. Lyons in Paris, Metz in Germany and Segovia
and Serille in Spain built similar aqueducts and syphons for water
supply used for drinking, bathing and other purposes. Sextus Julius
Frontinus, Water Commissioner of Rome (A.D. 97)-reported the
existence of nine aqueducts supplying water to Rome and. varying
in Jength from 10 to over 50 miles and in cross-section from 7
to over 50 sq. ft., with an estimated aggregate capacity of 84 mgd.
‘The great sewer, known as the cloaca maxima and constructed to
drain the Roman Forum, is still in service.
There was practically no improvement in water supply systems
in the middie ages. The earlier water supply structures got destroyed
with the fall of Rome. In the ninth century, few important waterWATER SYSTEMS 3
supply structures were constructed by the Moors in Spain, In the
twelfth century, small aqueduct was constructed in Paris. In London,
spring water was brought by means of lead pipes and masonry conduits
in the thirteenth century. In Germany, water works were constructed
in 1412 and pumps were introduced in 1527 in Hanover. Franciscan
monk constructed aqueduct of Zempola in Mexico in the middle
of 16th century. In 1582, a pump was erected on the old London
bridge for the supply of water from the Thames. The water was
conveyed through lead pipes. In Paris, pumps operated by water
power were erected in 1608, Pumps operating from steam were in-
troduced in the 18th century in London and Paris. In the United
States, spring water was conveyed by gravity to Boston in 1652. Pumps
etc. were introduced at Bethlehem in 1754.
However, purposeful quality control of water Supply is quite
recent in origin. The scientific discoveries and engineering inventions
of the eighteenth and nineteeth centuries created centralised industries
to which people flocked for employment. This caused serious water
supply and waste disposal problems in the industrial towns. No great
schemes of water supply were started until the Industrial Revolution
had well passed its first half century. The development of the large
impounding reservoir was largely due to the necessity of feeding
canals constructed during the first phase of the Industrial Revolution.
The first water filter was constructed in 1804 by John Gibb
at Paisley in Scotland. It was a slow sand filter and worked in conjunction
with a settling basin and roughening filter. Next successful filters
were constructed in 1827 by Robert Thom at Greenock. In 1829,
James Simpson built sizable filters for the Chelsea Water Company
to improve its supply from the Thames river. By 1870, the mechanical
filter of the pressure type began to be employed, the carliest being
the Halliday filters installed at Crewe (1888), Bridlington and elsewhere.
In 1894 pre-filters were successfully built. In the first decade of 20th
century, mechanical pressure filters were introduced, Hastings being
an early pioneer with Candy filters built in 1900. In India, Calcutta
was the first city where a modern water supply system was constructed
in 1870.
The technique of clarification and filtration soon grew. By
1939, mechanically-sludged sedimentation tanks were in general use.
‘The micro-strainer, for the removal of plankton from the impounded
water was developed by Boucher, and was introduced by Glenfield
and Kennedy in 1945. Coagulation of water with sulphate of alumina
began experimentally in 1827, but was adapted practically only in
1881 to treat Bolton’s water supply. Activated silica was introduced
by Bayliss in U.S.A. during 1937. The first permanent use of chlorination
originated under the direction of Sir Alexander Houston at Lincoln4 WATER SUPPLY ENGINEERING
in 1905. In 1917, Paterson Engincerthg Company insialled the first
us chlorinator at the Rye Common Works. Super-chlorination
and dechlorination was first applied in 1922 at the Deptford works
of the Metropolitan Water Board. The art of softening water was
also first developed in Great Britain. The first municipal softener
‘was constructed by Plumstead in 1854. Development of the softener
took @ novel turn in 1912 by the construction, at the Hooten works
of the West Cheshire Water Board, of a base exchange softener.
Since India was under British occupation, water supply schemes
in India were undertaken practically about the same time as in England,
though with a slower rate. In 1870, a water supply system was const-
tucted at Calcutta. Till Independence, only few cities had protected
water supply systems.
1.3. SOURCES OF WATER
The following are common sources of water
@ Rain water (ii) Surface water
(ii) Ground water (jv) Water obtained from reclamation.
1. -Rain Water
{b) FROM PREPARED CATCHMENTS
FIG. 1.1. DIRECT: COLLECTION OF RAIN WATERWATER SYSTEMS 5
(a) From roofs of houses and dwellings : Water is stored in small
underground tank or cistern, for small individual supplies (Fig. 1.1 a).
(b) From prepared catchments : The surface of catchments is
made impervious by suitable lining material, and suitable slope is
given so that water is stored in moderate size reservoirs. This water
is used for communal supplies, mostly for drinking purposes.
2. Surface Water
WORKS,
(€) WATER FROM RESERVOIR STORAGE
FIG. 1.2. SOURCES OF SURFACE WATER6 WATER SUPPLY ENGINEERING
Surface water is the one which is available as run-off from
a catchment area, during rainfall or precipitation. This runoff flows
cither into streams or into undrained lakes. The runoff water flowing
into streams can either be stored in a reservoir by constructing a
dam across it, or be diverted into a water supply channel. Thus,
depending upon the scheme of collection, we get surface water from
the following sources.
(a) From rivers by continuous draft : Water may be collected
directly from the river, without any diversion work (Fig
1.2 a).
(6) From river diversion. A diversion work is constructed across
a perennial river and water is diverted into a canal which
leads water to the site of water purification works (Fig.
12 5).
(©) From reservoir storage. Where supply is not ensured
throughout the year, dam may be constructed across the
river and water stored in the reservoir (Fig. 1.2 c).
(d) From direct intake from natural lakes. Water may also be
obtained through direct intakes from natural lakes which
receive surface run-off from the adjoining catchment (Fig.
12 a).
3. Ground Water
The largest available source of fresh water lies underground.
The term ‘ground water’ refers to this water, which is stored by
nature, under-ground in the water-bearing formation of earth’s crust.
The total ground water potential is estimated to be one third the
capacity of oceans. The main source of ground water is precipitation.
A portion of rain falling on the earth’s surface infitrates into. ground,
travels down and when checked by impérvious layer to travel further
down, forms ground water. The ground water reservoir consists of
water held in voids within a geologic stratum. The ground water
can be tapped from the following sources.
(a) From natural springs (Fig. 1.3 a).
.** (b) From wells and bore holes (Fig. 13 6).
(c) From infiltration galleries, basins or cribs (Fig. 1.3 c).
(@) From wells and galleries with flows augmented from
some other sources :
@ spread on surface of the gathering ground
(i) carried into charging basins or ditches, or
(iii) led into diffussion galleries or wells.
(©) From river side radial collector wells (Fig. 1.3 d)WATER SYSTEMS 1.
A
A
NORMAL weTER
“Eve
(bu) SHALLOW DUG WELL. (bn) TUBE WELL
cso peeec.e =
2 WATER BEARING %,
(c) INFILTRATION GALLERY (¢) RADIAL COLLECTOR WELL
FIG, 13, SOURCES OF UNDERGROUND WATER.
4, Water obtained by reclamation
(@) Desalination. Saline or brakish water may be rendered
useful for drinking purposes by installing desalination
plants. The common methods used for desalination are:
distillation, reverse osmosis, electrodialysis, freezing and
solar evaporation.
(6) Re-use of treated waster water. Effluent or waste water can
be treated suitably so that it may be re-used. An example
of the controlled indirect re-use is the intentional artificial
recharge of ground water aquifers by adequately treated
waste water.8 WATER SUPPLY ENGINEERING
‘14. WATER SUPPLY SYSTEMS
The primary objective of water treatment for public supply
is to take water from the best available source and to subject is
to processing which will ensure water of good physical quality, free
from unpleasant taste or odour and containing nothing which might
be detzimental to health. The treatment of water to improve its
quality involves additions to, substractions from, or chemical changes
in the raw water. Municipal water systems consist of the following units.
1, Collection works
2. Transmission works
3, Purification works
and 4. Distribution works.
These systems have been shown diagrammatically in Fig. 1.4.
FIG. 1.4, WATER SUPPLY SYSTEMS
1. Collection Works
Collection works are meant for the development of surface
water or ground water resources. For major cities, or where water
requirements are large, water is collected from a surface source—
mostly a river or stream. If the river is perennial, a direct intake
structure can be built on the river bank. If, however, river is not
perennial, a dam is built across the river so that water is storedWATER SYSTEMS 9
in the reservoir. Water is then drawn from the reservoir as per
needs. The collection works, therefore, consist of a storage or diversion
work, and an intake structure. The planning and design of collection
works have been discussed in Chapter 3.
2. Transmission Works
In many cases, the collection works may be far away from
the city where water is to be supplied. In that case, water is conveyed
to the city through the transmission works. These form the connecting
link between the collection works and the purification works. Depend-
ing upon the topography of the area between the two sites, the
transmission works may be in the form of conduits, canals or aqueducts.
For simply gravity flow, canals are generally used. However, if
highlands intervene, pumping may have to be resorted to.
3. Purification Works
The water collected directly from the source may not be safe
for drinking because of physical, chemical and biological impurities.
‘The municipal water works must deliver to the consumer the water
that is ; (1) hygienically safe, (2) esthetically attractive and palatable,
and (3) economically satisfactory for its intended use. Diseases like
typhoid, cholera, dysentery etc, are water borne diseases. The principal
aim of the purification works is to supply clean and bacteria free
water. The common components of water purification works are :
(@ Fiteration plants to remove objectionable colour, turbidity, bacteria
and other harmful organisms, (ii) Deferrization and demanganization
plants to remove excessive amounts of iron and manganese, and
(iii) Softening plants to remove excessive amounts of scale forming,
soap consuming ingredients like calcium and magnesium ions.
4. Distribution Works
‘The treated and purified water is finally sent to the consumers
through suitable distribution system. In order that water may flow
in the water supply pipes under pressure, the purified water is normally
stored in an elevated service reservoir. More than one reservoir may
be needed in large systems. There are two patterns of water distri-
bution system : (i) branching pattern with dead ends, and (ii) grid
iron pattern. The plan, topography and location of the area with
Tespect to the service reservoir establish the type of distribution
system and-its character of flow. The design of distribution system
has been discussed in Chapter 16.Hydrology
2.1, THE WATER CYCLE
Hydrology is the science which deals with the occurrence, dis-
tribution and movement of water on the earth, including that in
the atmosphere and below the surface of the earth. Water occurs
in the atmosphere in the form of vapour, on the surface as water,
snow or ice and below the surface as ground water occupying all
the voids within a geologic stratuin.
GROUND WATER FLOW
FIG. 21. THE WATER CYCLE
Except for the deep ground water, the total water supply of
earth is in constant circulation from earth to atmosphere, and back
to the earth. The earth's water circulatory sysiem is known as the
water cycle or the hydrologic cycle. Water circulates naturally through
five principal realms—(i) oceans, (ii) atmosphere, (iii) lakes and rivers,
«a0HYDROLOGY i
(iv) ice caps and glaciers, and (v) underground. Hydrology concerns
water and its behaviour in all these realms. Hydrologic cycle or the
water cycle is the process of transfer of moisture from atmosphere
to the earth in the form of precipitation, conveyance of the precipitated
water by streams and rivers to ocean and lakes etc., and evaporation
of water back to the atmosphere. Fig, 2.1 illustrates, diagrammatically,
the complete hydrologic cycle.
‘The hydrologic cycle consists of the following processes:
1. Evaporation and Transpiration (E)
The water from the surfaces of ocean, rivers, lakes and also
from the moist soil evaporates. The vapours are carried over the
land by air in the form of clouds. Transpiration is the process of water
being lost from the leaves of the plants from their pores. Thus, the
total evaporation (E), inclusive of the transpiration consists of :
(i) Surface evaporation
(@) Water surface evaporation
(a) From river surface
(6) From oceans
(ii) Evaporation from plants and leaves (transpiration)
and (jv) Atmospheric evaporation.
2. Precipitation (P)
Precipitation may be defined as the fall of moisture from the
atmosphere to the earth surface in any form. Precipitation may be
in two forms:
(@) Liquid Precipitation : ie. rainfall.
(6) Frozen Precipitation : This consists of :
(@) Snow (ii) Hail
(ii) Steet (iv) Freezing rain.
3. Run-off (R)
Run-off is that portion of precipitation that is not evaporated.
When moisture falls to the earth’s surface as evaporation, a part
of it is evaporated from the water surface, soil and vegetation and
through transpiration by plant, and the remainder precipitation is
available as run off which ultimately runs to the ocean through
surface or sub-surface streams. Thus, run off may be classified as
follows :
(1) Surface run off
Water flows over the land and is first to reach the streams
and rivers, which ultimately discharge the water to the sea.12 WATER SUPPLY ENGINEERING
(2) Interflow or sub-surface run off
A portion of precipitation infiltrates into surface soil and,
depending upon the geology of the basin, runs as sub-surface run-
off and reaches the streams and rivers.
@) Ground water flow or base flow
It is that portion of precipitation, which after infiltration, per-
colates down and joins the ground water reservoir which is ultimately
connected to the ocean.
‘Thus, the hydrologic cycle may be expressed by the following
simplified equation.
Precipitation = Evaporation + Run off
®= € + ®
provided adjustment is made for the moisture held in storage at
the beginning and at the end of the period.
2.2, PRECIPITATION
To the hydrologist, precipitation is the general term for all
forms of moisture emanating from the clouds and falling to the
ground. The following are the essential requirements for precipitation
to occur :
1. Some mechanism is required to cool the air sufficiently
to cause condensation and droplet growth.
2. Condensation nuclii are also necessary for formation of
droplets. They are usually present in the atmosphere in adequate
quantities.
3. Large scale cooling is essential for significant amount of
precipitation. This is achieved by lifting of air, Thus a meteorological
phenomenon of lifting of air masses is essential to result precipitation.
‘Types of Precipitation
Precipitation is often classified according to the factors respon-
sible for lifting. Broadly speaking, there are four types of precipitation.
(2) Cyclonic precipitation.
(2) Convective precipitation
(3) Orographic precipitation
(4) Precipitation due to turbulent ascent.
1. Cyclonic Precipitation
Cyclonic precipitation results from lifting of air masses con-
verging into low pressure area or cyclone. The cyclonic precipitation
may be divided into (a) frontal precipitation, and (b) non-frontal
precipitation.ood
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‘CLOCK DRIVEN RECORD DRUM
FIG. 23. WEIGHING BUCKET RAIN GAUGE
3. Tipping Bucket Type Rain-gauge
‘The tipping bucket type rain-gauge consists of a 30 cm diameter
sharp edge receiver. At the end of the receiver is provided a funnel.
A pair of buckets are pivoted under the funnel in such a way that
when one bucket receives 0.25 mm (0.01 inch) of precipitation it
tips, discharging its contents into a reservoir bringing the other backet
under the funnel. Tipping of the bucket completes an electric ci
-30cm—y4
FIG. 24. TIPPING BUCKET TYPE RAIN-GAUGEHYDROLOGY ”
causing the movement of pen to mark on clock driven revolving
drum which carries a record sheet.
4, Float Type Automatic Rain-gauge
The working of a float type rain-gauge is similar to the weighing
bucket type gauge. A funnel receives the rain water which is collected
in a rectangular container. A float is provided at the bottom of
the container. The float is raised as the water level rises in the
container, its movement being recorded by a pen moving on a recording
drum actuated by a clock-work. When the water level in the container
RECORDING
Penarm — DRUM
FIG. 25. FLOAT TYPE AUTOMATIC RAIN-GAUGE
rises so that the float touches the top, the siphon come into operation,
and releases the water; thus all the water in the box is drained out.
2.4. COMPUTATION OF AVERAGE RAINFALL OVER A BASIN
Ifa basin or catchment area contains more than one raingauge
station, the computation of average precipitation or rainfall may
be done by the following methods :
1. Arithmetic average method.
2. Thiessen polygon method.
3. Isohyetal method.
1. Arithmetic Average Method
If the rainfall is uniformly distributed in its areal pattern,
the simplest method of estimating average rainfall is to compute
the arithmetic average of the recorded rainfall values at various stations.18 WATER SUPPLY ENGINEERING
Thus, if Pi, Pr, Py...» » Py etc, aré the precipitation or rainfall
values measured at ” gauge stations, we have
Py obit Petit Pe EP 2M)
a n
2. Thiessen Polygon Method
‘The arithmetic average method is the most approximate method
since rainfall varies.in intensity and duration from place to place.
Hence the rainfall recorded by each rain-gauge station should be
weighted according to the area it is assumed to represent.
‘Thiessen polygon method isa more common method of weighting
the rain-gauge observations according to the area. Thiessen polygon
method is also called weighted mean method and is more accurate
than the arithmetic average method.
FIG. 2.6. THIESSEN POLYGON METHOD
Procedure
1. Join the adjacent rain-gauge stations A, B, C, D etc., by
straight lines.
2. Construct the perpendicular bisectors of cach of these lines.
3. A Thiessen network is thus constructed. The polygon formed
by the perpendicular bisectors around a station encloses an area
which is everywhere closer to that station than to any other station.
Find the area of each of these polygons shown hatched in Fig. 2.6.
4, Multiply the area of each Thiessen polygon by the rain-gauge *
value of the enclosed station.
5. Find the total area (£4) of the basin.
6. Compute the average precipitation or rainfall from the
equationood
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C =Constant, the value of which may be taken as 1.1
for deep bodies of water and 1.5 forshallow bod-
ies of water.
K = Constant, the value of which may be upto 16.
2. Rohwer’s Formula
E =C' (1.465~0.00732 p.)(0.44-+0.0732W)(V—v) ...(2.46)
where E =Evaporation loss in cms per day (24 hours)
C’ = Constant, the value of which may be found out
from the available evaporation data; it may be
approximately taken equal to 0.75.
pa = Atmospheric pressure in cms of mercury, at °C.
V,v and W have the same meaning as in the Meyer's formula.
Determination of Evaporation from Field Measurements
‘The evaporation from water surface is generally measured by
exposing pans of water to the atmosphere. The water pan may be
either installed on the ground near the lake (Fig. 2.8 a), or it may
be suppported on water surface with the help of floats (Fig, 28 b).
The former is known as land pan, while the later is known as a
floating pan. In each case, the Standard Class A pan is a galvanised
iron pan of 4’ (1.20 m) diameter and 10" (25 cm) depth. The land
pan is supported on a grid of 5 cm x 10 cm timbers to raise it
above the ground to promote air circulation. The floating pan,
however, is kept floating on water surface with the help of floats.
‘The change in the water level is measured by a hook gauge provided
over a stilling well. Temperature, rainfall, wind speed etc. are also
measured. The evaporation measured in the pan in multiplied by
a suitable coefficient to get the actual evaporation of the lake surface.
‘This coefficient, known as pan evaporation coefficient, varies from
0.6 to 08.
MOMETER
HOOK GAUGE
HOO Gauce
LL
STILLING WELL
STILLING WE!
ANCHOR
oe FLOAT
(o) LAND PAN ()) FLOATING PAN
FIG. 28. MEASUREMENT OF EVAPORATION2 WATER SUPPLY ENGINEERING
2.6. RUN-OFF
The run-off of a catchment area in any specified period is
the total quantity of water draining into a stream or into a reservoir
in that period. This can be expressed as (i) centimetres of water
over a catchment, or (ii) the total water in cubic-metres or hec-
tare-metres for a given catchment.
‘The rainfall is disposed of in the following manner:
1. Basin Recharge.
2. Direct run-off (or simply, run-off).
3. Percolation down to ground water.
4. Evaporation.
1. Basin Recharge
The basin recharge consists of the following :
(Rain intercepted by leaves and stems of vegetation.
(i) Water held up in surface depressions, commonly known
as the depression storage.
(i) Soil moisture held as capillary water in pore spaces
ofsoil or as hygroscopic water absorbed on the surface
of soil particles.
2. Direct Run-off
Direct run-off is that water which reaches the stream shortly
after it falls as rain. Direct run-off consist of:
(2 Over land flow (a surface run-off).
(@ Inter-flow (Influent stream).
Overland flow is that portion of water which travels across
the ground surface to the nearest stream. However, if the soil is
permeable, water percolates into it, and when it becomes saturated,
flows laterally in the surface soil to a stream channel. The essential
condition for inter-flow is that the surface soil is permeable, but
the subsoil is relatively impermeable so that water does not percolate
deep to meet the ground water.
3., Percolation down to Ground Water (base flow)
Ifthe subsoil is also permeable, water percolate deep down-wards
to meet the ground water. Much of the low water flow in rivers
is derived from the ground water. Stream channels which are below
the ground water are calied effluent streams.
2.7, COMPUTATION OF RUN-OFF
‘The run-off from a catchment can be computed daily, monthly or
yearly. Following are some of the methods of computing the run-off :HYDROLOGY B
(a) By formulae and tables.
(6) By Infiltration method.
(c) By Unit Hydrograph.
(@) By Rational method.
(a) RUN-OFF BY FORMULAE AND TABLES
1, Run-off Coefficient
‘The run-off and the rainfall can be inter-related by run-off
coefficient, by the expression
R=kP (25)
where R= run-off in cm,
P = rainfall in cm,
k = run-off coefficient.
‘The run-off coefficient naturally depends upon all the factors
which affect the run-off. This method is used only for small water
control projects, and should be avoided for the analysis of major
storms. The customary values of k are hen below :
Area
Urban residentials
Single Houses
Garden apartments
Commerical and Industrial
Forested areas, depending on soil
Parks, farm land, pasture
Asphalt or concrete pavement
Barlow's Table
T.G. Barlow carried out studies of catchments mostly under
140 sq. km in the United Provinces (U.P.) and gave the following
values of & (in percentage) for various classified catchments :
TABLE 21 BARLOW'S TABLE
0.3
0.5
0.9
.. 0.05~0.2
- 9.05-0,3
.. 0.85.
Very hilly and steep, with
hardly any cultivation24 WATER SUPPLY ENGINEERING
The above values of run-off percentages are for average monsoon.
These are to be multiplied by the following coefficients (Table 2.9)
according to-the nature of the season.
TABLE 22 BARLOW'S COEFFICIENT
Nature of season
(1) Light rain, no heavy downpour
(2) Average or varying rainfall, no
continous downpour
(3) Continuous downpour
2. Strange’s Tables and Curves
WAL. Strange gave tables and curves for run-off resulting from
rainfall in the plains of South India. The following tables and graphs
are for the former Bombay Presidency. Strange’s tables and curves
give run-off for daily rainfall, and take into account three types
of catchment, (ie. good, average and bad), and three surface conditions,
(ie. dry, damp and wet) prior to the rain.
TABLE 2.3 DAILY RUN-OFF ACCORDING TO STRANGE
NOTE: FOR GOOD OR BAD CATCHMENT, ADD OR DEDUCT UPTO 25% OF YIELD.
‘Run-off percent and yield when the original state of ground wasHYDROLOGY 28
3. Inglis’s formula
C.C. Inglis gave the following formulae, derived from data
collected from 37 catchments in the Bombay Presidency :
For Ghat areas
R= 085 P ~ 12" (when Rand Pare in inches) ...(2.6 a)
R = 0.85 P — 30.5 (when R and P are in cm) ww (2.6)
For Non-Ghat areas
R= (Fat) xp (when Rand Pare in inches) ...(2.7 a)
R= EMS) xP (when Rand P are in em) ..(2.7)
4, Lacey's formula
=——*__ (when P and Rarein inches) (28 a)
74 DOF
and R=——___ (when P and R are in cm) ..(28)
14 348 F
PS
In both the expressions,
S=A catchment factor and F = Monsoon duration factor.
Corresponding to the five classes of catchment, defined by
Barlow, Lacey gave the following values of the catchment factor (S) :
TABLE 24
also divided the monsoon into three classes, depending
upon its duration and gave the following values of monsoon duration
factors :
TABLE 256 WATER SUPPLY ENGINEERING
(5) Khosla’s formula
R=P- rT (when R and P are in inches) x)
R=P-1=% (when R and P are in cm) — (2.9)
where T = mean temperature in °F on the entire catchment.
The temperature introduced in the formula takes into account
various factors affecting losses by evaporation, transpiration, sunshine
and wind velocity.
(© Parker's formulae
1.94 P — 14 for catchments in the British Isles
94 P — 16 for catchments in Germany (2.10)
.80 P ~ 16.5 for catchments in East U.S.A.
where R and P are in inch units.
(6) RUN-OFF BY INFILTRATION METHOD
Infiltration is defined as the movement of water through the
soil surface and into the soil. The capacity of any soil to absorb
water from rainfall falling continuously at an excessive rate goes
on decreasing with time, until a minimum rate of infiltration is reached.
At any instant, the infiltration capacity of a soil is the maximum
rate at which water will enter the Soil in a given condition. The
infiltration rate is the rate at which water actually enters the soil
during a storm, and is equal to the infiltration capacity or the rainfall
rate, whichever is less. The infiltration capacity of soil can be determined
FIG. 29, INFILTRATION CAPACITY CURVE AND RUN-OFFHYDROLOGY a
in excess of infiltration capacity, and by measuring the surface run-off
(Fig. 2.9). For small areas having uniform infiltration characteristics,
the run-off volume can be estimated by subtracting infiltration from
the design rainfall.
Infiltration Index
Infiltration index is the average. rate of loss such that the
volume of rainfall in excess of that rate will be equal to direct
run-off. Estimates of run-off volume from large areas, having hetero-
geneous infiltration and rainfall characteristics, are made by use of
infiltration indices.
‘There are two types of infiltration indices.
(®) Average infiltration rate ot W-index and (ii) ¢ index.
The W-index is calculated from the expression
PER om/hr (211)
where .f, = duration of rainfall in hours.
The ¢-index is defined as the rate of rainfall above which
the rainfall volume equals the run-off volume (Fig. 2.10).
2 348 €7 690
TIME
FIG. 210. ¢ INDEX AND RUN-OFF
For flood forecasting, appropriate index values must be derived
by correlation with those factors which determine the index at any
time. In such approach, there seems to be no advantage over the
method discussed earlier, in which the run-off and rainfall are correlated.
However, the infiltration index cam be used to estimate the run-off
co-efficient (k) from the relation
in ce (2.12)
where i= rainfall intensity (cm/hr)28 WATER SUPPLY ENGINEERING
2.8. ESTIMATION OF MAXIMUM RATE OF RUN-OFF OR
FLOOD DISCHARGE
‘The estimation of peak flow or flood can be made by the
following methods :
(a) By physical indication of past floods.
(6) By flood discharge formulae.
(c) By flood frequency studies.
@ By unit hydrograph
The method of flood frequency and the method of unit hydro-
graph can -be found in any standard text book on Hydrology.
(a) PHYSICAL INDICATION OF PAST FLOODS
Ancient monuments, etc., situated on river banks always bear
past flood marks. Old persons in the villages situated on the bank
of the river may be contacted to know the maximum water level
attained in the past 35 years. The cross-section of the river may
be plotted, and the water line corresponding to the highest flood
can be drawn on it. From such a cross-section, the water-flow-area,
wetted perimeter and hydraulic mean depth can be calculated. By
longitudinal sectioning with the help of levelling slightly to the upstream
and downstream of the site where cross-section has been plotted,
the longitudinal slope of the bed of the river can be determined.
Assuming this to be the same as the hydraulic slope during the
past flood, the mean velocity of flow can be computed by Chezy’s
or any other suitable hydraulic formula. This velocity can be multiplied
with the probable area of water section at the time of past flood
to calculate the flood discharge. This procedure should be repeated
at several villages or water. marks, to get consistent results.
(6) FLOOD DISCHARGE FORMULAE
Some of the empirical formulae for estimating the flood discharge
are given below. Most of these are in the form
Q=ca" on(2:13)
where Q = flood discharge
‘A= catchment area
n = flood index
C = flood coefficient.
Both C and m depend upon various factors, such as (i) size,
shape and location of catchment, (i) topography of’ the catchment,
and (ii) intensity and duration of rainfall, and distribution pattern
of the storm. over the basin.HYDROLOGY 29
1. Dicken’s Formula
In metric unit,
Q=ca™' wn(2.14)
where Q = discharge in cumecs
A=area of basin in sq. km.
In FPS. units
Q= C4" wn(214 a)
where Qi = discharge in cusecs
‘A; = area of basin in sq. miles.
The constants C and C; depend upon the catchment and may
be obtained from Table 2.6.
TABLE 2.6
Northern India na
Central India 139-195 1000 10 1400
Western Ghats 222-25 1600 10 1800
2. Ryve’s Formula
For Madras catchments
Q=ca w«(2.15)
(where Q is in cumecs and A in sq. km.)
and Q=C.Ay* (215 a)
(where Q; is in cusecs and A, in sq. miles)
values of C and C, may be obtained from Table 2.7
TABLE 2.7
‘Areas within 24 km (15 miles) from
the coast.
‘Area within 24 ka -161 km (25 to
100 miles) from the coast)
‘Limited areas near hills30 WATER SUPPLY ENGINEERING
3. Inglis Formula
Inglis formula is applicable for catchments of former Bombay
Presidency.
Expressed in metric units,
Q= oo = 123A" (2.16)
Expressed in F.P.S. units,
Q, = 7000.41 7000. AY? (2.16 a)
i
4. Nawab Jang Bahadur Formula
For catchments of old Hydrabad State :
Expressed in metric units,
Q = C4093 Tele (2.17)
where C varies from: 48 to 60. ~
Expressed in F.P.S. units,
r= caper teeean 2.17 a)
where C; varies from 1600 to 2000.
5. Fanning’s Formula
For American catchments,
In metric units,
Q=c4
where average value of C, may be. taken equal to
In FP.S. units,
Q=CAi* e(Z18 a)
where average value of C; may be taken equal to 200.
6. Creager’s Formula
Applicable for American catchments
Expressed in F.P.S. units,
Qs = 46 C1 AOA1- 00485 2.19)
‘The constant varies from 30 to 100.HYDROLOGY 31
7. Fuller’s Formula
This formula takes into account the flood frequency also.
Expressed in metric units,
Qnae = CA™ (1 + 0.8 log T) (1 + 2.67.4-™) (2,20)
where T = Number of years after which such a flood is to
reoccur.
Q = Maximum flood (in cumecs) during any part of
the day that could occur in T-years.
A= Area of drainage basin, in sq. km.
C = Constant varying from 0.185 to 1.3.
Expressed in F-P.S. units, :
Q, = CAM (1 + 0.8 log TL + 2.47%) (2.20 a)
where C; varies from 14 to 98.
PROBLEMS
1. Explain with the help of diagram the hydrologic cycte.
2, What do you understand by precipitation ? Explain various types
of precipitation.
3. Explain any one type of automatic raingauge.
4. Describe various methods of computing average rainfall aver a basin.
5. What are the methods of computing run-off from a catchment
area? Give various formulae stating clearly the area for which each is applicable.
6. Explain various methods of determining flood discharge in a stream.
7. Give various flood discharge formulae applicable for Indian catchments,ood
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Yearly demand = 475 x 365 cumec-days
= 475 x 365 x 8.64 = 1497960 ha-m
= 15 million ha-m.
In Fig, 3.8, tangents Ty, Tz, Ts, Ts, Ts etc. are drawn to the curve
at the apexes, and parallel to the demand curve which has a slope
30
MASS INFLOW (MILLION HECTARE METRE)
FIG. 3& DETERMINATION OF RESERVOIR CAPACITY48 WATER SUPPLY ENGINEERING
of 1.5 m ha-m in 1 year. The ordinates O;,Or,.....Os indicate the
deficiencies during the dry periods, assuming that the reservoir was
full at the beginning of the period. The maximum of these ordinates
(ce. Os= 1.6 m ha-m) gives the desired reservoir capacity.
29 T T T
|_-RESERVOIR DRAWN DOWN —|
DEPLETION OF STORAGE REPLENISHMENT
2er—ity— "Chor storace
22
MASS INFLOW (MILLION HECTARE METRE)
21
20) Hy
SE hnaen
19]
0
1a! =
1967 1968 1969 1970 1971
TIME
FIG. 39. DETERMINATION OF RESERVOIR CAPACITY
Fig. 3.9 shows the enlarged view of the curve from period
1967 to 1971 during which maximum storage is required. Line AB
is drawn parallel to demand curve and tangential to the mass inflow
curve at point 4. At point C of the curve, a storage capacity of
1.6 million hectare metres is required. It is essential that the demand
line AB should meet the inflow. curve at point B, so that reservoir
becomes full at B ; otherwise it will never be full. Similarly, if a
line CD is drawn parallel to the demand cutve, and tangential
to the mass-inflow curve at C, then it should intersect the curve
at D so that the reservoir becomes full at the start of the dry period.SURFACE SOURCES 49
Example 3.4 Draw the mass inflow diagram and compute the
storage needed for an impounding reservoir, for a constant draft of
300 million litres per month, with the following recorded mean monthly
runoff values:
TABLE 3.7.
Order of the month
Observed monthy
mean run off
(enillion litres)
Order of the month
Observed monthly
mean runoff
(million litres)
Solution.
The computations are shown in Table 3.8, where Q denotes
the runoff (or discharge) in the stream and D denotes the draft
required, per month.
‘TABLE 3.8, COMPUTATION FOR STORAGE
Cumulative Cumulative
runoff Deficiency
%@ z@-)
(9 =2@) (6) =2(5)
i
0 (2400)
0 (1500)
0 G00 t
200
420
690
980.
1280,
'
SSSR Se ses
ob
S/S S| 8 |S (8 8 1S is |S |S |S |Sood
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2. ARCH DAMS
Anarch dam (Fig. 3.12) is adam curved in plan and carries a
major part of its water load horizontally to the abutments by arch
action. This part of water load depends primarily upon the amount of
alfecsienimerean
SECTION AT ¢
FIG, 3.12. ARCH DAM
curvature. The balance of the water load is transferred to the foundation
by cantilever action. The thrust developed by the water load carried
by arch action, essentially requires strong side walls of the canyon
to resist the arch forces. The weight of arch dam is’not counted
on to assist materially in the resistance of external loads. For this
reason, uplift on the base is not an important design factor.
3. BUTTRESS DAMS
A buttress dam (Fig, 3.13) consists of a number of buttresses
or piers, dividing the space to be dammed into a number of spans.
To hold up water and retain the water between these buttresses,
panels are constructed of horizontal arches or flat slabs. When the
panels consist of arches, it is known as muliple arches type buttress
dam. If the panels consist of flat slab, it is known as deck type
buttress dam.
4. STEEL DAMS .
Steel dams are constructed with a framework of steel with
a thin skin plate as deck slab on the upstream side. In India, no
such dam has been constructed. However, in United States three
such dams have been constructed : Ash Fork Dam in Arizona (1898),
Redridge Dam in Michigan (1905) and Hauser Lake Dam in Montana
(1901). Out of these, the first two dams gave satisfactory results4 WATER SUPPLY ENGINEERING
SECTIONAL ELEVATION
PLAN PLAN
(a) DECK TYPE (b) MULTIPLE ARCH TYPE
FIG. 313. BUTTRESS DAMS
while the third dam failed only after one year of service. The failure
was mainly due to undermining of the foundation by leakage through
or under the steel sheet pile.
Steel dams (Fig. 314) are generally of two types : () direct
strutted type and (ii) cantilever type. In the direct strutted type, the
load on the deck plate is carried directly to the foundations through
— aS
(a) DIRECT STRUTTED TYPE (b) CANTILEVER TYPE
FIG. 3.14. STEEL DAMSSURFACE SOUR\ 55
inclined struts. In the cantilever type, the section of the bent supporting
the upper part of the deck is formed into a cantilever truss. This,
arrangement introduces a tensile force in the deck girders which
is resisted oither by anchoring the deck girder into the foundation
at the upstream toe or by framing the entire bent rigidly together
so that the moment of the weight of the water on the lower part
of the deck may be utilized to offset the moment of the cantilever.
5, TIMBER DAMS
A timber dam is constructed of framework of timber struts
and beams, with timber plank facing to resist water pressure. A.
timber dam is an ideal temporary dam, though a well designed, con-
structed and maintained timber dam may last 30-40 years. They are
suitable to places where timber can be available in plenty.
Timber dams are normally found to be of three types :
1. A-frame type (Fig. 3.15).
2. Rock-filled crib type (Fig. 3.16)
3. Beaver type.
1. A frame type timber dam
Fig. 3.15 shows a typical A-frame type timber dam. It consists
of five component parts : (a) sills (6) struts (c) wales (d) studs
and (¢) lagging. The sills should be fastened to the ledge rock by
wedge bolts or anchor bolts. The lagging should not be of less than
5 em thickness.
FIG, 3.15. A-FRAME TYPE TIMBER DAM
2. Rockfilled crib type timber dam
Fig. 3.16 shows such a type of dam in which cribs of square
or round timber are drift-bolted together. The timbers are spaced
about 2-2.5 m centre to centre both ways. The space between them
is filled with rock fragments or boulders. In the case of rock foundation,
the bottom cribs are pinned to the rock foundation. If, however,
the dam is constructed on earth foundation, sheet piling is provided
both at the u/s as well as d/s side as shown in Fig. 3.16.ood
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1. The site should be so selected that it may admit water
even under worst condition of flow in the river, or under towest
possible water level in a lake or reservoir. If possible, intake should
be located sufficiently inside the shore line.
2. Its site should be as_near to the treatment work as possible.
3. It should be so located that it adi relatively pure water
free from mud, sand or other floating materials. It should be located
at a place protected from rapid currents.
4. It should be so located that it is free from the pollution.
River intakes should be constructed well upstream of points of discharge
of sewage and industrial wastes. If located near a city, it should
be located to the upstream of the city so that water is not contaminated.
5. It should not interfere with river traffic, if any.
6. The intake should be so located that good foundation con-
ditions are available and the possibility of scouring is the least.
7. It site should be so selected that its further expansion is
possible.
‘Types of Intakes
Intakes are classified under three heads as under :
INTAKES
i 2 3.
I lf 1 of I I |
SUBMERGED EXPOSED WET ORY RIVER RESERVOIR LAKE CANAL
TRYARE” IRTAME, aK iNtARE INTAKE “ivfaki™ INTAKE (NTARE
Submerged intake is the one which is constructed entirely under
water. Such an intake (Fig. 3.23) is commonly used to obtain supply
from a lake. An exposed intake is in the form of a well or tower
constructed near the bank of a river, or in some cases even away
from the river banks. Exposed intakes are more common due to
ease in its operation (Fig. 3.19). A wet intake is that type of intake
tower in which the water level is practically the same as the water
level of the sources of supply. Such an intake is sometimes known
as jack well (Fig. 3.20) and is most commonly used. In the case
of dry intake, however, there is no water in the water tower (Fig.
3.21 c). Water enter enters through entry port directly into the
conveying pipes. The dry tower is simply used for the operation
of valves etc,
River Intakes
A tiver intake is located to the upstream of the city so that
pollution is minimized. They are either located sufficiently inside
the river so that demands of water are met with in all the seasons
of the year, or they may be located near the river bank where aSURFACE SOURCES 9
FIG. 319. RIVER INTAKE.
sufficient depth of water is available. Sometimes, an approach channel
is constructed and water is led to the intake tower. If the water
level in the river is low, a weir may be constructed across it to
raise the water level and divert it to the intake tower.
Fig. 3.19 shows a wet type intake well founded on river bed.
The intake tower permits entry of water through several entry ports
located at various levels to cope with the fluctuations in the water
level during different seasons. These entry ports are sometimes known
as penstocks and are provided with suitably designed screens to exclude
debris and floating material from entry. The entry ports contain
valves which can be operated from the upper part of the well.
FIG, 320. RIVER INTAKE.«0 WATER SUPPLY ENGINEERING
The lowest entry is placed below the low water level of the river
so that water is available in the jack well during summer season
also when river carries minimum discharge. The intake well should
be founded on sound footing, to a depth deeper than the scour
depth. The upper part of the well serves as the pump house. The
suction pipe admits water through a screen.
Where river bed is soft or unstable, the intake tower may
be founded slightly away from the river bed, as shown in Fig. 3.20.
‘The intake is kept submerged under the low water level of the river.
It essentially consists of a rectangular or circular entry chamber with
a strong grill at its top. The pipe conveying water from the intake
to the jack well has a bell-mouth entry with a screen, and is supported
on a concrete support. While the entry of debris and floating material
is checked by the top grill, the entry of mud or coarse sand ete.
is checked by the screen provided at the bell-mouth entry. Water
enters to the jack well through a valve which can be controlled
from the pump house.
Reservoir Intake
‘When the flow in the river is not guaranteed throughout
the year, a dam is constructed across it to store water in the reservoir
so formed. The reservoir intakes are practically similar to the river
intake, except that these are located near the upstream face of the
dam where maximum depth of water is available. Their design depends
upon the type of dam. Fig. 3.21 (a) shows a typical intake for an
earth dam with several entry ports. The intake is constructed near
the toe of the dam. The access to the intake tower is provided
through a foot bridge. Water may enter the well through a number
of entry ports located at various elevations so that relatively clear
top water is admitted at all seasons. The water level in the well
is practically the same as the reservoir level. The valves of the entry
ports are operated from the gate house located at the top of the well.
From the well, water is led to the down-stream through a suitably
designed conduit which passes through the body of the earth dam.
Fig. 3.21 (6) shows the dry type intake well with a trash-rack
structure which is located below the minimum reservoir level. The
entry of water is controlled through a valve operated from the upper
portion of the well. Fig. 3.21 (c) shows an alternative form of the
dry well in which water from different entry ports is led directly
to the outlet pipe. The well remains dry. In each case, however,
the outlet pipe or conduits passes through the main body of the
carth dam. This pipe, commonly known as the sluice way, should
have projecting collars at regular intervals. These collars increase
the path of water seeping along the boundary of the sluice way.
The length of the seepage path should be more so that no damageood
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In the above expression, R, commonly known as radius of
zero drawdown, is the radius, measured from the centre of the well
to a point where the drawdown curve meets the original water table
tangentially. Jn practice, the selection of the radius of influence R
is approximate and arbitrory, but the variation in Q is small for
a wide range of R. Suggested values of R fall in the range of 100
to 300 metres.
Alternatively, R may be computed from the following approx-
imate expression given by Sichardt :
R = 30005 Vk
where R and s are in metres, and k is in m/sec.
If there are two observation wells at radial distance r, and
(> r) , and if the depths of water in them are h, and ft respectively,
Eq. 4.4 can also be expressed in the form :
2 ae
Q-= ze A) (44 a)
loge =
2
Pa Q- 1.36 k (h3 — hi), (4A bY
logn 7
If the drawdown (s) is measured at the well, we have
s=H-h
and Hasth, or H+h=(s+2)
Then, from a 44,
atk DICE xi +2)
toge& toge®
or oat + OL) 2s son
loge = loge =
where = Length of the strainer
or = 2A (L + 5/2) (45)
logo ®
Assumptions and Limitations of Dupuit’s Theory
Dupuit’s theory of flow for unconfined aquifer is based on
the following assumptions :
1. The velocity of flow is proportional to the tangent of the
hydraulic gradient instead of sine.
2. The flow is horizontal and uniform everywhere in the vertical
section,4 WATER SUPPLY ENGINEERING
3. Aquifer is homogeneous, isotropic and of infinite aerial
extent.
4, The well penetrates and receives water from the entire
thickness of the aquifer.
5. The co-efficient of transmissibility is constant at all places
and at all times.
6. Natural ground water regime affecting an aquifer remains
constant with time.
7. Flow is laminar and Darcy’s law is applicable.
Out of these, assumptions (1), (2) and (7) are of particular
importance. The flow is not horizontal, especially near the well,
Also, the piezometric surface attains greater slope as it approaches
the well boundary, with the result that assumption 1 isan approximation.
Due to these reasons, the parabolic form of piezometric surface
computed from the Dupuit’s theory deviates from the observed surface.
This deviation is large at the well face, resulting in the formation
of seepage face. In addition to these, the velocity near the well
increases and the flow no longer remains laminar. Thus, Darcy's
law equation is not valid near the well face.
2. Confined Aquifer
Fig. 4.5 shows a well fully penetrating a confined or artesian
aquifer. Let (x, y) be the coordinates of any point P on the drawdown
curve, measured with respect to the origin O. Then, from Darcy's
law, flow crossing a vertical plane through P is given by
Q=kirAs
where Ax = cross-sectional area of flow, measured at P
xb
6 =thickness of confined aquifer
i, = hydraulic gradient at p=2
Q=K(2) exxb)
oe =2xkb.dy.
Integrating between the limits (R,r) for x and (H, h) for y,
of feonce fy
4
=2xkb[y].
2 [lx iGROUND WATER : WELLS
‘OBSERVATION WELLS
IMPERVIOUS
STRATA o "
FIG. 45, CONFINED AQUIFER
From which
where
equation.
g = 2tkh ah)
R
loge
= 2:72 bk (Hh
logn®
R
loge
2s
loge®
T-= coefficient of transmissibility = bk
abks _272bks
loge ®
s = drawdown at the well.
s
(4.6 a)
(4.6 b)
(46 ©)
(4.6 d)
|. 4.6 (a) is known as the equilibrium equation or Thiemood
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the tube. The slots are wide inside
and narrower outside, as shown in
Fig. 4.14. The gauge of slots depends
on the coarseness of sand, and varies
from 0.15 to 0.4 mm,
(ii) Te strainer
It is similar to cook strainer,
but is manufactured in India. It con-
sists of a brass tube constructed of
a brass sheet bent round to form the
tube, the vertical joint being brazed.
The slots are cut in the sheet before
it is bent. The strainer is generally
manufactured from 7.5 cm diameter
FIG. 4.14. COOK STRAINER
upwards, and is made in 25 metre lengths.
‘The individual lengths of the strainer are then joined together
by means of screwed collars of brass.
(iii) Brownlie strainer
‘The Brownlie strainer is made of a polygonal convoluted steel
plate having perforations. A wire mesh surrounds the steel tube,
as shown in Fig. 4.15. The mesh consists of heavy parallel copper
wires woven with copper ribbons. Since the wire mesh is slightly
away from the perforated tube, it is known as the best type of strainer.
HOLES
CONVOLUTIONS
0)
WIRE MESH”
FIG. 4.15. BROWNLIE STRAINER
(iv) Ashford strainer
This is very delicate strainer and consists of perforated tube
with a wire round it over which a wire mesh is soldered. The wire88 WATER SUPPLY ENGINEERING
keeps the mesh away from the
tube. The wire mesh is protected
and strengthened by a wire net
around it, as shown in Fig. 4.16.
(¥) Leggett strainer
It is expensive type of
strainer in which a cleaning device
is provided. The cleaning device
is in the shape of cutters which
can be turned in the slits. The
cutters are operated from the top
(ground surface), These cutters
clean the strainer clogged by the
solid matter.
(vi) Phoenix strainer
It is a mild steel tube in
which the openings are made by
cutting slits from inside. The tube is cadmium plated to keep it
free from danger of chocking and corrosion caused by chemical action.
(vil) Layne and Bowler strainer
It is a robust type strainer manufactured in America. It consists
of wedge-shape steel wire wound to suitable pitch round a slotted
or perforated steel or wrought iron pipe. The joint of the strainer
pipes are made by screwed collars.
Chocking of Strainers
The strainer of a tube well may get chocked due to two actions:
(1) Mechanical action, (2) Chemical action.
(1) Mechanical chocking. Mechanical chocking may result from
the chocking of slits with sand and other particles. This may however,
be prevented by providing such slits which expand inwards. The
pulsating action of the centrifugal pump may also remove the chocking.
‘To safeguard against chocking, proper screening or shrouding should
be provided. Another method of eliminating chocking is to permit
inflow velocity lesser than the critical.
» (2) Chemical chocking. The strainer may be chocked due to
chemical action of salts present in water. The chemical action may
also deteriorate a strainer by corrosion. If calcium bicarbonate present
in water exceed by an amount of 15 parts per million parts of water,
carbon dioxide is released when pressure is reduced due to pumping
and calcium carbonate is precipitated on the strainer. The cumulative
action of such precipitation reduces the yield. The chemical chocking
FIG, 4.16. ASHFORD STRAINERGROUND WATE!
LS 89
by deposition of carbonates is reduced by providing large slit area
and having low inflow velocity. Similarly, sodium salts may attack
mild steel and cast iron strainer pipes causing chocking. Sodium
bi-carbonate may attack copper to a certain extent, though brass
is not readily attacked.
(2) CAVITY TYPE TUBE WELL
This is a special type of tube well in which water is not drawn
through the strainer, but it is drawn through the bottom of the
well where a cavity is formed. The tube well pipe penctrates a
strong clay layer which acts as strong roof. Thus, a cavity tube well
is similar to deep well. However, a deep well draws water from
the first aquifer below the mota while the cavity well need not do
so. The essential condition for a cavity tube well to function efficiently
is to have confined aquifer of good specific yield, and the aquifer
should have a strong impervious material above it. In the initial
stage of pumping with the help of centrifugal pump or an air lift
pump, fine sand comes with water and consequently a hollow or
cavity is formed. As the spherical surface area of cavity increases
outwards, the radial critical velocity decreases, the sand particles
stop entering the well. At this stage, an equilibrium in the cavity
formation is established and clean water continues to enter the well
on further pumping at the same constant discharge. After the formation
of the cavity, the velocity of entry of water at the bottom of the
pipe is lesser than the critical.
2 GROUND LEVEL
TOP son.
|PERVIOUS STRATUM:
FINE MATERIAL,
CONFINED AQUI
FIG. 4.17. CAVITY TUBE WELLood
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of a ‘sludger’ or ‘sand pump’. The sludger, almost similar to the
bailer, is a steel pipe 2 to 4 metres long, having a cutting shoe
of hard steel riveted to its bottom. A flap valve at its lower end
permits the entry of the cut material. The sludger is inserted in
the casing pipe and is worked up and down by means of a rope
the other end of which passes over a pulley fixed centrally to a
tripod. A platform is attached to the upper end of the casing pipe,
and the weight placed on the platform drives the casing pipe slowly
into the hole. When the sludger is full with the cutting paste, it
is taken out and emptied. The process goes on till the required
level is reached. However, if the rock formations are hard, the
sludger is unable to cut it and a string of drilling bits, shown in
Fig. 4.20, is inserted and operated by an engine.
FIG. 421. PERCUSSION BORING BY MANUAL LABOUR.
In both the methods, the record of the material collected
by bailer or sludger is kept. A bore log is then plotted to know
the depths of various formations. The well pipe with strainers at
determined levels of aquifer is then lowered to the desired depth.
The well is then shrouded, and the casing pipe is taken out when
the shrouding is done in steps. Wells by cable-tool method have
been drilled in diameters upto 30 cm and to depths as great as
1600 metres.GROUND WATER : WELLS 95
3, HYDRAULIC ROTARY METHOD
Hydraulic rotary method, sometimes known as rotary boring
method, is used for drilling large bores in unconsolidated strata.
This is the fastest method and has been used for well upto 45 cm
diameter (upto 150 cm with a reamer), and for depth over 1600
‘m. Oil wells over 7000 metre deep have been drilled by this method.
In this method, the boring is done with the help of a drilling
bit attached at the end of a string of hollow pipes (Fig. 4.22). A
mixture of clay and water, known as drilling mud, is continuously
circulated through the drill shaft in the hole. Material loosened by
the bit is carried upward in the hole by the rising mud. Ordinarily,
no casing is required’ since the drilling mud forms a clay lining
and supports the walls of the hole.
The drill bits have hollow shanks and one or more centrally
located orifices for jetting the mud into the bottom of the hole.
The drill rod, made of heavy pipe, carries the drill bit at one end,
and is screwed to a square section known as kelly. A rotating table,
which fits closely around the kelly, rotates the drill rod which slides
downward as the hole deepens. The rising drilling mud carrying rock
fragments is taken to the settling basin where the cuttings settle.
The mud is recirculated to the hole. To maintain the required consis-
TO HOIST
FIG. 422. HYDRAULIC ROTARY METHOD96 WATER SUPPLY ENGINEERING
tency, clay and water is added to the circulating mud from time to
time. A complete boring record is maintained to know the type of
formations at various depths. When desired level is reached, the drill
rod etc. are taken out and the well pipe containing strainer pipes
at appropriate locations (opposite aquifers) is lowered. Since the
well walls are coated with clay, it should be washed to get more
discharge. Back washing is done by lowering the drill pipe and bit
in the well pipe, and forcing water containing calgon (sodium-hexa-meta
phosphate). Calgon has the property of dispersing clay colloids. A
collar, of the size of well-pipe is attached to the drill rod just above
the bit. This forces the water through the strainer causing washing
action on the clay wall. At the same time, the drill rod is plunged
up and down causing surging action. When washing in the bottom
is done, the bit is raised through some distance and the operation
is repeated.
4, REVERSE ROTARY METHOD
Reverse rotary method, similar to the hydraulic rotary method,
is very much used in Europe. In this method, the cuttings are
used for this purpose. A mixture of water and fine grained material
is circulated in the hole. The procedure is essentially a suction
dredging method. The walls of the hole during drilling are supported
by hydrostatic pressure acting against the film of fine-grained material
deposited on the walls by the drilling water. The method of recir-
culation of drilling water containing fine-grained particles and cleaning
the well after inserting the well-pipe is similar to that of hydraulic
rotary methods.
4.13. WELL SHROUDING AND WELL DEVELOPMENT
(a) Well Si
‘Well shrouding is a process of interposing coarse material
such as gravel and coarse sand between the well-pipe (strainer pipe)
and the aquifer soil to prevent finer particles of soil coming in
contact with the strainer and chocking it. This is essential in sandy
and unconsolidated formations of aquifer. This is also essential
in slotted type tube well where a strainer is not used. Such tube
well is also sometimes known as a gravel-packed well. The shrouding
increases the effective well diameter, acts as a strainer to keep fine
material out of the well, and protects the well-pipe from caving
of surrounding formations. A gravel packed well has a greater specific
capacity than one of the same diameter not surrounded by a gravel.
A minimum thickness of 40 cm gravel pack is necessary to make
it effective. The proper gain size distribution of the shrouding material
depends upon the mechanical analysis of the aquifer and upon the
perforations or screen slot size.GROUND WATER : WELLS ”
The amount of shrouding material per 30 cm length of the
casing pipe can be calculated accurately before hand. In the beginning,
the shrouding material for 60 cm length is shovelled in from the
top between the tube-pipe and casing, The casing is raised by 30
cm with the help of jack. Then the quantity for cach 30 cm is
added and the casing pipe is withdrawn 30 cm at a time till the
strainer is covered. The shrouding material is sometimes placed
through small pipes or pilot holes around the tube-pipe which feed
the material down into position. A further refinement is the use
of bladeless pumps for pumping the shrouding material into place.
(6) Well Development
Well development is the process of removing fine material
from the aquifer formation surrounding the strainer pipe, and is
aimed at (/) increasing the specific capacity of the well, (ii) preventing
sand flowing in, and (iii) obtaining maximum economic well life.
The actual yield of the well can be known only after well development.
Thus, it also helps in determining the required characteristics of
the pump and power unit to be installed. Depending upon formation
characteristics of the aquifer, a well may be developed by one of
the following methods.
1, Development by pumping.
2. Development by surging.
3. Development by compressed air.
4, Development by back washing.
5. Development by dry ice,
1. Development by pumping
In this method, a variable speed pump is used. The method
is based on the principle that irregular and non-continuous pumping
agitates the fine material surrounding the well so that it can be
carried into the well and pumped out. Initially, the pump is started
with a very low discharge. The fine particles start coming. This
low speed is maintained till clear water comes. The discharge is
then increased in steps until maximum discharge or well capacity
is reached. The pump is then stopped and levels permitted to increase
till it comes to normal. The pump is then again started and the
Procedure repeated, till no fine particles come.
2. Development by Surging
In this method, surging effect is created by up and down move-
ment of a hollow surge block or a bailer. Calgon (sodium-hexa-
metaphosphate) is added to water, so that it acts as dispersing agent
for fine grained particles. When the surge block is moved up, it98, WATER SUPPLY ENGINEERING
sucks water in, When it is moved down, itforces water-calgon solution
back in the formation, Further upward motion bring with it fine
material. The surge block is connected to a string of hollow pipe
from which the water charged with fine particles is pumped out
continuously. The procedure is repeated by increasing the speed
of surging till clear water comes out.
3. Development by Compressed Air.
In this method, the development is done with the help of
an air compressor, a discharge pipe and an air pipe. The air pipe
is put into the discharge pipe and is lowered into the well tube,
till the assembly reaches near the bottom of the strainer-pipe section.
‘The lower end of the air pipe is kept emerging out of the discharge
pipe by a small length. The air entry to the air pipe is first closed
and the compressor is then started till a pressure of 6 to 10 kg/cm’
is built up. The air is then suddenly made to enter the pipe, at
this pressure, with the help of suitable quick-opening valve. This
sudden entry of air into well creates a powerful surge within the
well causing loosening of fine material surrounding the perforations.
When the pressure decreases, water enters the well bringing the
loosened particles with it. The continuous air injection creates an
air lift pump, and the water carrying fine particles is pumped out.
The process is repeated till clear water comes. The pipe assembly
is then lifted up, and the surging is again created. The operation
is repeated at intervals along the screen section till the well is fully
developed.
4, Development by Back Washing
In this method, in addition to the compressor, a discharge
pipe and an air pipe, and additional small air pipe is used. The
well is sealed at its top so that is becomes air-tight. The discharge
pipe and air pipe assembly is lowered in the well, as in the previous
method, but the end of the air pipe is kept inside the discharge
pipe. A small air pipe is fitted at the top of the air-tight cover
and is provided with a three-way cock. With the help of the three-way
cock, air can be admitted to the well either through the long air
pipe (but inside the discharge pipe) or through the long air pipe
fitted at the top. Air is first made to enter the long air pipe.
This forces air and water out of the well through the discharge
‘When clear water comes the valve is closed, and water level
is allowed to increase in the well. The valve is then turned to
the other side so that air enters through the discharge pipe and
at the same time agitates the fine particles surrounding the well.
Calgon is often added to water. When air starts escaping fromGROUND WATER : WELLS ”
the discharge pipe, the valve is turned so that air enters the long
air pipe, and the assembly works as an air-lift pump and the water
is pumped out. The procedure is repeated till clear water comes
and the well is fully developed.
5. Development by dry ice (solid sodium dioxide)
In this method, well is developed with the help of two chemi-
cals : hydrochloric acid and solid sodium
First of all, hydrochloric acid is poured into the well.
is capped at the top and compressed air is forced into the well.
The pressure of the compressed air forces the chemical into the
formation. The cap is then removed and blocks of dry ice are dropped
into the well. The sublimation releases gaseous carbon dioxide,
and a high pressure of this gas is built up in the well. On releasing
the pressure the muddy water is forced up in the form of a jet
and is automatically thrown out of the well. Explosion of mud
and water extending 40 metres into the air from a well in Utah
(U.S.A) was observed when the well was developed with dry ice.
4.14, OPEN WELLS
As stated earlier, an open well is essentially of a bigger diameter
than of a tube well, and derives its water only from one pervious
stratum. Since a tube well, in general, may derive water from more
than one aquifer formation, it has greater depth than an open well.
The economically feasible depth of an open well is limited to 30
metres below the ground surface. In a lined open well, the entry
of water is from the bottom and not from the sides.
‘An open well is classified as :
@ Shallow well (i) Deep well.
FIG. 423. SHALLOW AND DEEP WELLS100 WATER SUPPLY ENGINEERING
‘The nomenclature of shallow and deep well has nothing to do
with the actual depth of the well. A deep well is a well which is
supported on a mofa layer and draws its water supply, through a
hole bored in it, from the pervious formation below the mora layer.
A shallow well, on the other end, penetrates the pervious
stratum only and draws its water supply through it. The term mota
layer also sometimes known as matbarwa or nagasan, refers 10 a
layer of clay, cemented sand, kankar or any other hard material.
The mota layer gives structural support to the open well, and is
found throughout the Indo-Gangetic plain. These mota layers may
either be continuous, or may be localised and may be found in
different thicknesses and depths at different places.
PERVIOUS STRATUM
FIG. 4.24, DEEP WELL ON LOCALISED MOTA LAYER
Fig. 4.23 (a) shows a shallow well which derives water from
the pervious stratum, and does not rest on a mota layer. Fig. 4.23
(6) shows a deep well resting on a continuous mota layer. Fig. 4.24
shows a deep-well resting on a localised mota layer and deriving
its water from the second pervious stratum. Actually, a shallow well
can be deeper than a deep well. However, since a shallow well draws
water from the first pervious stratum (ie. top formation), the water
in it is liable to be contaminated by rain water percolating in the
vicinity, and may take with it mineral organic matter such as decom-
posing animals and plants. The water in a deep well is not liable
to get such impurities and infections. Also, the pervious formation
below a mota layer normally has greater water content and specific
yield. Hence discharge from a deep well is generally more than a
shallow well.
The open well may further be classified as :
@® Kachha well or unlined well.
(i) Well with impervious lining.
, (ii) Well with pervious lining.ood
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R = (6.1352)TARGE = (6.1352)
R=4152m
(b) Q = 2000 Litres/min.
=2m/min.
(since | litre/min. = 0.001 m*/min.)
R=4152m;H=40m,
h=36m;
= 2 = 136k (40 = 36°
on2 4152
logo Fy=
pa ences
1.36 (40° — 36°)
= 0.003 m/min.
4.31 m/day.
=10m
A152
10
logie
(c) Depth of water in the well is given by
2 = 1-36 x 0.003 (40° — Hi)
41.52
logn 93"
4)
1600 — Hg = x logw
2 _
16 x 0.003
1049.58
23.46 m.
Hence drawdown at the well
40 — 23.46
16.54 m
(@) Specific capacity is defined as the discharge per unit draw-
down. Let it be designated by S.. It is not constant, but decreases
as the discharge increases (see §4.6). Let us assume that the yield
is directly proportional to the drawdown or to the radius of zero-
drawdown.
2 QeR
or Q=C.R where C is a constant.
For a given data,
c= 8-2 = 0.04807.8 WATER SUPPLY ENGINEERING
Rau 2
Cc 0.04817
Now corresponding to drawdown of 1m, discharge Q = S..
Hence radius of zero drawdown
Se Se
“C- 004817
Hence Q=s, = Lk 40" — 3
logo
in general.
= 1:36 x 0.003 (40° — 39°)
lose ( opasit x03 |
or Se logy (69.2S,) = 0.3223.
Solving this by trial and error, we get
S. = 0.258 m"/min.
Hence, specific capacity of the well is 0.258 m°/min/m depression
head.
(e) maximunr rate of discharge Q,, will be obtained when draw-
down in the well is equal to H, ie, when Ho = zero.
_ 1.36 x 0.003 (407 — 0°)
Qn = On
logue
DOBIT XO
or Qn 10g 69.2 Om = 6.528
Solving this by trial and error, we get
Qu = 2.85 m’/min.
4.18. UNSTEADY FLOW
The analysis of flow towards wells discussed in the previous
articles is based on the assumption that steady state of flow is developed
immediately after pumping is started. Actually, the cone of depression
fluctuates with time. The gradual approach of cone of depression
towards a steady state is produced primarily by the removal of water
from storage as cone deepens. Hence a storage co-efficient comes
into play. The storage co-efficient is a dimensionless constant of
the aquifer and may be interpreted as the amount of water in storage
released from storage from a column of aquifer of unit cross-section
under a unit decline of head.
Equations developed for unsteady or transient well flow nor-
mally show how the drawdown s of the piezometric surface or water
table is related to the time of pumping the well. In Fig. 4.31,GROUND WATER : WELLS 9
FIG, 431. TRANSIENT FLOW
consider an annular cylinder of thickness dr and radius r, Due to
unsteady flow conditions, water will be released from storage of this
elementary cylinder. According to definition of storage co-efficient
S, the rate x at which a certain volume V is released from storage
over an aquifer of area A is given by
1)
where V=volume of water released per horizontal area
A of aquifer.
A =height of piezometric surface or water table
above lower boundary of aquifer.
S = storage co-efficient.
A =area of the aquifer to which x applies.
= time.
Since A decreases with time ¢, minus sign with ah/at has been
used. For the elementary cylinder of the aquifer, A = 2xrdr. Hence
OV oop drs SH
at at
Let Q, = discharge entering the outer face of the cylinder.
Q: = discharge leaving the inner face of the cylinder.
’. Change in discharge
q = Q:- Qe
2)120 WATER SUPPLY ENGINEERING
Since the rate of increase in q can be expressed as — a, the
increase in discharge over the annular area =— Sher Substituting
this for ae in (2), we get
— ar = - 2arar.s.% 3
fs 8. w(3)
For confined radial flow, we get from Darcy law,
~(4)
Substituting in (3), we get
ant {OH + 1h) 2 ones
which simplifies to
ah , 1 ah _ Sah
rte Tw (4.24)
‘This is the basic equation for unsteady flow towards the well.
Theis (1935) obtained a solution for this equation based on the
analogy between ground water flow and heat conduction, by assuming
that the well is replaced by mathematical sink of constant strength
such that h = H before pumping begins and that A>H as r->e after
pumping begins (¢2'0). The solution is
Hone fo. du (4.25 a)
an. ue Asan
or We) (4.25)
where du = well function.
Eq. 4.25 is known as the non-equilibrium equation or Theis
equation. The integral in the above equation is a function of the
lower limit, and is known as exponential integral. It can be expressed
as a convergent series so that Eq. 4.25 can also be expressed as
= 2, [-0s72 - _
5 = gSp| — 05772 - logeu tu — 5
oe
3.3
w(4.25 b)
+121
GROUND WATER : WELLS
Sz To0000
LL€0000°0
(O1xN =e)
(4 NOMONAA TAM JO SANTVA ‘fF TTAVE122 WATER SUPPLY ENGINEERING
Wenzel tabulated the values of W(u) for various values of
u ranging from 10- “to 9.9. Table 4.3 gives the values of W(u) for
u ranging from 10-™ to 9,
From the table, when
u=s, Wu)
and when u=5x 1075, Wu)
The values of formation constants S and T can be found by
measuring drawdowns in observation wells when the well under study
is pumped at a constant rate of discharge Q. There are several
methods of determining S and T, but we will discuss here following
three methods :
(a) Theis method,
(b) Jacob's method,
(©) Chow's method.
(a) THEIS METHOD
Theis proposed a curve-fitting method for finding formation
constants $ and T from a pump out test. From Eq. 4.25, we observe
that
s= [25] vm or log Ww) = [tog #57 | + logs
wn(4.26 a)
F (426 6)
r_ aT _ Ss
and ts [F) or logu = [8 ze] + logy
If a constant withdrawal rate (Q) is maintained, the bracketed
portions of the above two equations are constant for a given pumping
test. It is to be noted that s is related to 77/1 in a manner that
is similar to the relation of W(u) to u. Hence if a plot or data
curve is made between sand °/r on logarithmic co-ordinates tracing
paper (Fig, 4.32 a) to the same scale as the ype curve W(u) versus
u (Fig. 4.32 6), the data curve will be similar to the type curve.
Procedure :
(@ In the observation well situated at a radial distance r from
the main well, observe s and ¢.
@ Plot s versus */t on a log-log tracing paper (Fig. 4.25 a).
(ii) Plot W(w) versus u on log-log graph ‘paper (Fig. 4.32 5).
(iv) Keep Fig. 4.32 a on Fig. 4.32 6, and adjust it in such
a way that when the co-ordinate axes are held parallel, the dataGROUND WATER : WELLS 123
(a) DATA CURVE
8
(b) TYPE CURVE
3"
(c) CURVE FITTING
FIG. 432. THEIS METHOD.124 WATER SUPPLY ENGINEERING
curve is oriented in a position which represents the best fit of the
field data to the type curve.
(v) With both graph sheets at the best match position, an
arbitrary point P on the top curve is selected and pricked through.
(vi) The co-ordinates (a, b) and (a,6;) of the match point
are noted from both the curves.
Thus"the pair of values [s, ¥/(u)] and [F/t,u] are known. The
aquifer constants are then calculated from the relations :
T= £ Wu) 2(4.27 a)
and «A427 b)
(6) JACOB'S METHOD
Jacob suggested a method which completely avoids curve fitting.
He observed that when r is small and 1 is large, u may be small
and hence all terms after 2nd term of the series expansion (Eq.
4.25 b) of W(u) may be neglected.
Thus W(u) =— 0.5772 — logeu
= 2.j(= =
s= Bo [- 05772 - log. u]
© Sigg. ATE _
er [toe 05772 (4.28)
or s=
For the same observation well, if s; and s: are the observed
drawdown at times % and f since pumping started, we have
AsS=n- 5)
&
a
If a plot is made between s and logos (Fig. 4.33) then for,
one log cycle of time difference (ie. = 10h), we get
= 23030
~ 47
2.303Q
4a As
Extrapolating the straight line of the curve to intersect with
the zero drawdown axis permits the calculation for S. Let to be
wn(4.29)
As
or (4.30)ood
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