3c16 Presentation

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    1. Introduction

    Surveying Method chosen depends on:

    by the purpose of the survey e.g. map making,location of specific points, definition of land

    ownership etc.,

    by the nature of the survey itself e.g. hydrographic,

    terrestrial, astronomic,

    according to the scale or accuracy of the survey,

    the type of instrument or instruments used

    e.g. prismatic compass,

    level

    theodolite,

    photograph (terrestrial or aerial).

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    1. Introduction

    Other factors:

    Curvature of earth

    over 5 km, vertical angle difference will approach 2.5 minutes which

    can readily be detected even with most basic theodolite.

    Errors

    collimation errors in instruments need to be calibrated otherwise rivers

    could flow uphill

    Surveying involves

    transfer of levels between two points

    measurement of angles and lengths.

    requires solution of triangular shapes using basic trigonometry

    (or by graphical means).

    If distances are large: planar geometry no longer applies.

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    Geodetic surveys allow for curvature of Earth 1:2500 scale maps actually vary in scale

    On extreme east and west coasts, scale is approximately 1:2501

    Reference is taken along 2 oW where scale is 1:2499

    Along Greenwich Meridian and 4oW scale is 1:2500

    1. Introduction

    Surveying Instruments can be very accurate Instruments in ENV are capable of accuracies of 1 part in 20000 with ease if

    used correctly.

    Maps in UK are based on cartesian co-ordinates

    North is represented by a bearing of 000.

    East a bearing of 090,

    South-west a bearing of 225 etc.

    Referencing: True North: Grid North: Magnetic North

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    Point location - radial line and distance method..

    2. Basic Surveying Methods

    Difference in the Easting (E) is given by:-

    sin.E

    Northing difference (N)is given by:-

    True co-ordinates of the second point:-

    Easting =

    Northing =

    cos.N

    sin.Eo

    cos.No

    where is the length of the line,

    and is the bearing

    where Eo is Easting

    and Nois Northing

    of the reference station.

    N

    O

    This method can ONLYbe used if there is an INBUILT reference

    direction in the instrument - e.g. magnetic north

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    Point location - radial line and distance method..

    No inbuilt reference

    2. Basic Surveying Methods

    N

    O

    R

    Two horizontal angles are

    ALWAYS needed

    i.e. a reading to R (a referenceobject) as well as object of interest

    Applies to most instruments: Total Stations

    Theodolites

    Levels etc

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    Point location - Resection

    2. Basic Surveying Methods

    A

    B

    CN

    Coordinates of A and B are known

    Point C found from bearings at A

    and B

    or bearings from C to A and B

    A

    B

    C

    B

    A

    BA

    C

    C

    P

    D

    ExternalTriangle of

    Errors

    Internal Triangle

    of Errors

    Methods to distribute errors are needed

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    2. Basic Surveying Methods

    Point location - Traverse Methods

    ba

    cA1

    ba

    cA1

    A2

    ba

    cA1

    e

    d

    Open Traverse

    Errors accumulate

    Closed Traverse

    Errors can be distributed

    Closed Loop Traverse

    Errors can be distributed

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    2. Basic Surveying Methods

    Point location - Offset Methods

    A B

    2

    1

    D1

    D2

    d1

    d2

    Useful for mapping features

    Not suitable where accuracy is required

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    2. Basic Surveying Methods

    tandhH Ho

    )(sin

    sinsindhH

    12

    12Ho

    Level Ground

    Base Accessible

    Level Ground

    Base Not Accessible

    Height Measurement

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    2. Basic Surveying Methods

    sindH S

    1So hsindhH

    Height Measurement

    H

    H

    Sloping Ground

    Base Accessible

    Observations to same heightabove ground

    Sloping Ground

    Base Accessible

    Observations to different height

    above ground

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    2. Basic Surveying Methods

    )tantan(cosdH 122S2

    2So1 sindhH

    Height Measurement Sloping Ground

    Base Accessible

    Base and Top above and belowobserver

    H1

    H2

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    3. Planning a Survey

    Careful Planning is needed

    A single missed reading will make whole survey of novalue

    Need to provide checks

    Abstract raw data in field

    Repeat readings if necessary before leaving site.

    Remember an extra set of readings may take 15

    minutes - but to remobilise and set up again may take

    many hours

    schedule breaks effectively.

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    3.2 Basic Requirements

    A clear statement of purpose of survey is needed

    e.g.

    mapping vegetation boundaries; estimating river bank plan

    shape or erosion rates;

    determining flow characteristics in rivers;

    establishing fixed reference stations for future use; locating the point at which a particular set of measurements

    have been taken;

    measurement of the profile of a slope;

    assessment of regions liable to flooding.

    scale of the map required (if relevant).

    . The purpose of the survey will dictate the scale and

    accuracy required and ultimately the methods to be used.

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    3.2 Basic Requirements

    Secondary Planning Requirements include:-

    what equipment is actually available what time is available

    what man-power is available

    what access and transport are available.

    over what distance will the surveying party be spread duringthe surveying?

    Will it be necessary to return to the same site at a later date

    to take repeat measurements, and if so when (within a few

    days, or several weeks or months later?). How will contact between members of the surveying team

    be maintained at distance?

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    3.2 Basic Requirements

    Mapping vegetation boundaries:

    accuracy ~ 1:1000 (1 m is represented by 1 mm),

    Suitable surveying methods:

    compass and tape traverses,

    chain and offset mapping,

    point resection using a prismatic compass. height variations, Abney levels will often be adequate.

    Alternative methods, if the equipment is available,

    use of a surveyor's level and tachymetery,

    use of electro-magnetic distance measurement.

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    3.2 Basic Requirements

    Water Slope Measurement

    Difference in water surface elevation in a riveris small,

    Measurement requires accurate measurement of

    height differences over distances which areusually between 10m and 500m apart.

    A good surveying level for which the

    collimation error is knownis required.

    Otherwise river may appear to flow uphill!!

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    3.2 Basic Requirements

    F ixed Control Points

    Measurements will be needed to the nearest millimetre(centimetre) even if associated mapping detail is not

    required at this level of accuracy.

    Sometimes, such as in the vegetation survey, simple

    methods can be used including prismatic compasses to

    establish stations,

    Control stations will be located more accurately using

    a theodolite and associated equipment.

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    3.2 Basic Requirements

    Surveying River Banks

    Methods Radial Line Techniques using tachymetry for general plan

    shape of meanders (general profile ~5m).

    More accurate methods involving the establishment of shortpermanent base lines on the bank parallel to the long stream

    direction of the river are needed for erosion studies.

    accurate profiles of bank are determined using metre rule

    offsets from this reference line to the edge of the river bank.

    Decisions needed

    what constitutes the edge of the channel?

    ~10 - 20 m

    i i

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    3.2 Basic Requirements

    Size of Survey Party:- what equipment is to be used for accuracy

    access for vehicles

    e.g.

    a theodolite requires a tripod and targets

    may also require targets mounted on tripodscould require a minimum of three tripods and ancillary

    equipment.

    Often makes sense to establish control stations separate

    from detailed purpose of survey Communication

    Radios

    Flags?

    Markers: Permanent: Temporary????

    3 3 B ki f D

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    3.3 Booking of Data

    in waterproof notebooks

    should be logical should always be done in the field

    if necessary it can be transcribed BUT the ORIGINAL

    BOOKING MUST ALWAYS be accessible.

    Cross checking should be booked in field Critical Information which should always be present

    Purpose of Survey: (River Bank Mapping at Maes Mawr)

    Date: Time: Weather:

    Specific Location

    Sketch of Area

    BookersName:

    ObserversName

    3 4 P i ibl E

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    3.4 Permissible ErrorsSurveying Method Maximum Error

    Prismatic Compass * 0.5o

    Tripod Mounted Compass * 0.05o

    Angular Measurement with a Level 0.1 - 1.0o

    Angular Measurement using a theodolite

    (depends on instrument). 1 - 20 seconds

    Level transfer using a Surveyor's Level 20 mm per km

    Distance measurement using tape1 part in 400+Distance measurement using catenary taping 1 part in 1500+

    Distance measurement using a subtense bar -

    depends on configuration 1 part in 2000 - 10000

    Electro magnetic distance measurement * 5 mm irrespective of distance

    Closing error in a compass and tape traverse 1 part in 400

    Closing error in a theodolite and EDM traverse 1 part in 10000

    Closing error on a set of angles at one station

    (20 second instrument) * 20 seconds

    Closing error in a triangle (20 second

    instrument) * 30 seconds

    3 5 T f E

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    3.5 Treatment of Errors

    Systematic Errors

    collimation errors in instrucments magnetic errors affecting all readings at a particular location

    Systematic errors (unless large) can be compensated - will

    always be present and calibration is important.

    Random Errors observer variations in reading a scale

    148.1 148.2 148.0 148.1 148.1

    148.1 148.2 147.9 148.1 148.2Mean is 148.1 - standard deviation is 0.09

    3 5 T t t f E

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    3.5 Treatment of Errors

    SnedecorsRule

    Number of

    Observations

    Approximation of

    Standard Deviation

    5 R / 2

    10 R / 3

    25 R / 4

    50 R / 4.5

    100 R / 5

    Where R is range of readings

    3 5 T t t f E

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    3.5 Treatment of Errors

    Random Errors

    148.1 148.2 148.0 148.1 148.1

    148.1 148.2 147.9 149.3 148.2

    Mean is 148.22 - should this value be used?

    Exclude 149.3 and mean is 148.10

    standard deviation is 0.10

    value of 149.3 is 12 standard deviations from mean

    and should be excluded.

    Gross Errors should always be discarded

    3 6 P i i f Ch k

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    3.6 Provision of Checks

    Going to repeat a survey is time consuming

    Always provide a checkpace out a distance

    sight on three positions rather than basic two

    if measuring three stations - take readings at all threestations- sum of angles should be 180o

    For Level transfers

    e.g. elevation profile of longstream of river

    trace river from start to finish

    transfer level back along back - differences should be same

    if errors are unacceptable (e.g. 20 mm per 1 km) then repeat

    until consistency is achieved

    3 7 A l f B d Pl i

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    3.7 An example of Bad Planning

    ENV students doing their third year project in 1992 in Derbyshire

    needed to map meanders decided to use radial line method and tachymetry using level

    measured A to RO

    Lady

    Bower

    Reservoir

    A

    B

    C

    D

    E

    RO

    moved to B

    measured radial lines at A

    measured radial lines at B

    measured B to A

    moved to C

    etc

    Despite careful planning points B, C, D and E

    could not be located!

    3 7 A l f B d Pl i

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    3.7 An example of Bad Planning

    A

    B

    C

    RO

    What should have been done?

    Before leaving Derbyshire, map

    should have been plotted.

    Before moving from A to B

    measure A to B

    When at B measure from B to A