ISO 7507-4:2010

INTERNATIONAL ISO
STANDARD 7507-4
Second edition
2010-02-01

Petroleum and liquid petroleum
products — Calibration of vertical
cylindrical tanks —
Part 4:
Internal electro-optical distance-ranging
method
Pétrole et produits pétroliers liquides — Jaugeage des réservoirs
cylindriques verticaux —
Partie 4: Méthode par mesurage électro-optique interne de la distance




Reference number
ISO 7507-4:2010(E)
©
ISO 2010

---------------------- Page: 1 ----------------------
ISO 7507-4:2010(E)
PDF disclaimer
This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but
shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In
downloading this file, parties accept therein the responsibility of not infringing Adobe's licensing policy. The ISO Central Secretariat
accepts no liability in this area.
Adobe is a trademark of Adobe Systems Incorporated.
Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation
parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by ISO member bodies. In
the unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below.


COPYRIGHT PROTECTED DOCUMENT


©  ISO 2010
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Published in Switzerland

ii © ISO 2010 – All rights reserved

---------------------- Page: 2 ----------------------
ISO 7507-4:2010(E)
Contents Page
Foreword .iv
1 Scope.1
2 Normative references.1
3 Terms and definitions .1
4 Precautions .2
5 Equipment .2
6 General considerations.3
7 EODR instrument set-up within the tank .4
8 Selection of target points .4
9 Calibration procedure .5
10 Other measurements.7
11 Calculation and development of capacity tables .7
Annex A (normative) Procedure for verifying EODR instruments.8
Annex B (normative) Calculation of internal radii from the measured parameters.11
Annex C (informative) Calibration uncertainties.12
Bibliography.20

© ISO 2010 – All rights reserved iii

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ISO 7507-4:2010(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies
(ISO member bodies). The work of preparing International Standards is normally carried out through ISO
technical committees. Each member body interested in a subject for which a technical committee has been
established has the right to be represented on that committee. International organizations, governmental and
non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the
International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. ISO shall not be held responsible for identifying any or all such patent rights.
ISO 7507-4 was prepared by Technical Committee ISO/TC 28, Petroleum products and lubricants,
Subcommittee SC 2, Measurement of petroleum and related products.
This second edition cancels and replaces the first edition (ISO 7507-4:1995), which has been technically
revised.
ISO 7507 consists of the following parts, under the general title Petroleum and liquid petroleum products —
Calibration of vertical cylindrical tanks:
⎯ Part 1: Strapping method
⎯ Part 2: Optical-reference-line method
⎯ Part 3: Optical-triangulation method
⎯ Part 4: Internal electro-optical distance-ranging method
⎯ Part 5: External electro-optical distance-ranging method

iv © ISO 2010 – All rights reserved

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INTERNATIONAL STANDARD ISO 7507-4:2010(E)

Petroleum and liquid petroleum products — Calibration of
vertical cylindrical tanks —
Part 4:
Internal electro-optical distance-ranging method
1 Scope
This part of ISO 7507 specifies a method for the calibration of vertical cylindrical tanks having diameters
greater than 5 m by means of internal measurements using an electro-optical distance-ranging (EODR)
instrument, and for the subsequent compilation of tank capacity tables.
The method is suitable for tanks tilted up to a 3 % deviation from the vertical, provided that a correction is
applied for the measured tilt as described in ISO 7507-1:2003, Clause 11.
This part of ISO 7507 also applies to tanks with floating roofs or internal floating blankets.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced
document (including any amendments) applies.
ISO 7507-1:2003, Petroleum and liquid petroleum products — Calibration of vertical cylindrical tanks —
Part 1: Strapping method
IEC 60825-1:2007, Safety of laser products — Part 1: Equipment classification and requirements
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 7507-1 and the following apply.
3.1
reference target point
fixed point clearly marked on a fixed point within the tank, e.g. on the inside surface of the tank shell wall
3.2
slope distance
distance measured from the electro-optical distance-ranging instrument to a target point on any given course
of the tank shell wall
3.3
target point
one of a series of points on the inside surface of the tank shell wall to which slope distance, and vertical and
horizontal angles are measured by use of the electro-optical ranging instrument
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ISO 7507-4:2010(E)
4 Precautions
The general precautions and safety precautions specified in ISO 7507-1 shall apply to this part of ISO 7507. In
addition, the inside of the tank shall be clean. The laser beam emitted by the distance-ranging unit shall
conform to IEC 60825-1.
5 Equipment
5.1 Electro-optical distance-ranging instrument
To achieve uncertainties of tank volumes acceptable in legal metrology, the angular measuring part of the
−6
instrument should have an angular graduation and resolution equal to or better than 3,142 × 10 rad
1)
[0,2 mgon ] and the distance-measuring part of the instrument, used for direct determination of distances,
should have a graduation and resolution equal to or better than 1 mm.
NOTE For analysis of the impact of uncertainty of the equipment on the uncertainty of the calibration table, refer to
the examples in Annex C.
The accuracy of EODR equipment can be affected by variations of temperature. The manufacturer's guidance
should be followed.
5.2 Instrument mounting
Instrument mounting shall be firm and stable. If a tripod is used, its legs shall be held firm, and steadied, by
suitable devices such as magnetic bearers or an equivalent system. On floating-roof tanks or tanks with
internal floating blankets, the supports of the EODR instrument should preferably rest on the tank bottom,
while access to the instrument is through the roof or the blanket (see Figure 1). If this is not possible,
mounting directly on the floating roof or blanket can be possible, but only if the stability of the instrument
during the calibration procedure can be guaranteed.

Key
1 EODR instrument
2 floating roof
3 tank bottom
Figure 1 — EODR installation on floating roof

1) 2π radians = 400 000 mgon.
2 © ISO 2010 – All rights reserved

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ISO 7507-4:2010(E)
EODR measurements are restricted by
a) minimum measurable distance;
b) minimum incidence angle that still gives expected measurement uncertainty.
These limits are normally provided by the EODR equipment manufacturer.
If, for the given shape of the tank (height and diameter), the limits of incidence angles given by the
manufacturer cannot be met from one position, either a higher uncertainty shall be accepted or the EODR
equipment shall be placed in several positions. If this is not possible, this method might not be suitable for the
given application.
NOTE Integration of measurements from multiple positions of the EODR, if required, is usually performed using
procedures published by the instrument manufacturer. There are no standard calculations and, therefore, this part of
ISO 7507 does not include equations for this case.
5.3 Laser beam emitter
The laser beam emitter used to position target points on the tank shell shall be either an integral part of the
EODR instrument or a separate device whose axis is parallel to the axis of the EODR instrument.
5.4 Stadia
Stadia shall be a bar at least 2 m long with two marks. The graduated length between these marks shall be
calibrated. Extended calibration uncertainty should be of the order of 0,05 mm. The stadia shall be made of a
material whose thermal expansion is known.
5.5 Equipment for bottom calibration
Equipment for calibration of the tank bottom shall be as specified in ISO 7507-1:2003, Clause 10.
5.6 Auxiliary equipment
Auxiliary equipment shall include devices to steady the EODR unit, lighting, etc.
6 General considerations
6.1 The EODR instrument shall be maintained so that its performance can be traced to national and/or
international measurement standards. The accuracy of the angular measuring unit shall be verified using the
procedures described in Annex A. The distance-measuring unit is expected to hold its calibration and it is not
normally necessary to verify it in the field. If verification is performed, the procedure given in Annex A shall be
followed.
6.2 Tanks shall be calibrated only after they have been filled at least once with a liquid of density equal to or
greater than that of the liquid that they will hold when in use.
NOTE The hydrostatic test applied to new tanks can satisfy this requirement in most cases.
6.3 The tank shall be free from vibration and air-borne dust particles. The floor of the tank should be as free
as possible from debris, dust and loose scale.
6.4 Encrustation of the inner walls of the tank should be checked. If the estimated thickness, nature and
distribution of the encrustation are deemed unacceptable, the tank should not be calibrated using this method.
© ISO 2010 – All rights reserved 3

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ISO 7507-4:2010(E)
6.5 Lighting, when required, shall be placed within the tank so as not to interfere with the operation of the
EODR instrument.
6.6 Calibration should be carried out without interruption.
7 EODR instrument set-up within the tank
7.1 The instrument shall be set up with care, in accordance with the procedure and instructions given by the
manufacturer.
7.2 The instrument shall be set up so as to be stable.
If necessary, the tank bottom in the vicinity of the instrument shall be made firm and steady by placing heavy
weights in the area.
The legs of the tripod on which the instrument is mounted shall be steadied by use of suitable devices, such
as magnetic bearers, to prevent slippage on the tank bottom.
7.3 The instrument should be located at, or near, the centre of the tank to ensure that the measured slope
distances, at any one horizontal level, do not vary significantly and to minimize the overall uncertainty of slope
distance determination.
NOTE Stability of the EODR instrument is likely to be more important than its position in the centre of the tank.
7.4 The instrument shall be free from external vibration.
7.5 The sighting lines from the instrument to the tank shell wall shall not be obstructed.
7.6 Select and clearly mark on fixed points inside the tank, e.g. on the shell wall, two reference target points.
These should be approximately 1,571 rad (100 gon) apart and as near to the horizontal plane of the
instrument as possible.
7.7 At least the minimum settling time recommended by the manufacturer should be allowed before the
instrument is used.
7.8 The instrument shall be set horizontal, thus ensuring that the vertical axis (standing axis) is vertical.
8 Selection of target points
8.1 Two sets of target points per course shall be selected, one at approximately 1/4 of the course height
above the lower horizontal seam, the other at approximately 1/4 of the course height below the upper
horizontal seam.
The number of target points per set on each course of the tank shell wall is dependent on tank circumference.
The minimum number of target points per set as a function of tank circumference shall be in accordance with
Table 1, and is illustrated in Figure 2.
Where tank walls are deformed, the number of target points can be greater than the minimum given by this
part of ISO 7507.
8.2 The target points shall be at least 300 mm from any vertical welded seam.
4 © ISO 2010 – All rights reserved

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ISO 7507-4:2010(E)
Table 1 — Minimum number of target points
Tank circumference Minimum number of points
m
u 50 10
> 50, u 100 12
> 100, u 150 16
> 150, u 200 20
> 200, u 250 24
> 250, u 300 30
> 300 36
A number of target points greater than the minimum number of points in Table 1
may be chosen depending on specific circumstances and tank conditions.


Key
1 seam
Figure 2 — Illustration of target positioning on tank shell wall
9 Calibration procedure
9.1 All measurements should be carried out without interruption and as quickly as possible.
9.2 Measure and record the slope distance, horizontal angle and vertical angle to each of the reference
target points.
9.3 Sight all of the target points along the horizontal plane at each course location, and measure the slope
distance, horizontal angle and vertical angle to each, as illustrated in Figure 3.
© ISO 2010 – All rights reserved 5

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ISO 7507-4:2010(E)

Key
1 course height
2 EODR instrument
3 target points on shell wall
θ horizontal angle
φ vertical angle
D slope distance
Figure 3 — Illustration of calibration procedure
9.4 After all measurements on a course have been completed, repeat the measurements to the reference
target points.
9.5 If the repeated slope distances to the reference target points do not agree with the measurements taken
during the setting up of the instrument, within 2 mm, repeat the procedure given in 9.1 to 9.4. Record the
difference of the two measurements as uncorrected instrument drift, e(R ). Add the corresponding standard
dr
uncertainty, u(R ), calculated using Equation (1), to the resulting uncertainty of the tank radius (see Annex C):
dr
eR
()
dr
uR = (1)
()
dr
23
9.6 If the horizontal or vertical angles to the reference target points do not agree with the measurements
−4
taken during the setting up of the instrument, to within 1,571 × 10 rad (0,01 gon), repeat the procedure given
in 9.1 to 9.4. Record the difference of the two measurements as uncorrected instrument drift, e(θ ) (horizontal
dr
angles) and e(φ ) (vertical angles). Add the corresponding standard uncertainty, u(θ ), calculated by using
dr dr
Equation (2) for horizontal angles, or Equation (3) for vertical angles, to the resulting uncertainty of the angular
measurements (see Annex C):
e θ
()
dr
u θ = (2)
()
dr
23
e φ
()
dr
u φ = (3)
()
dr
23
6 © ISO 2010 – All rights reserved

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ISO 7507-4:2010(E)
10 Other measurements
10.1 Tank-bottom calibration and the overall height of the reference point at each dip-hatch shall be carried
out in accordance with ISO 7507-1:2003, Clause 10 and 6.3, respectively.
10.2 The following data shall be determined and recorded:
a) ranges of densities and the working temperatures of the liquids being stored in the tank;
b) height of each course, in accordance with ISO 7507-1:2003, 8.2;
c) thickness of each course of plating, not including the thickness of paint, in accordance with
ISO 7507-1:2003, 8.1;
d) safe filling height and maximum filling height, as determined by local practices;
e) deadwood, in accordance with ISO 7507-1:2003, Clause 9;
f) tilt of the tank as shown by the deviation from a vertical line, in accordance with ISO 7507-1:2003,
Clause 9;
g) average temperature of the tank shell. This should be measured around the tank (at least at four points),
near the bottom of the shell and again as near to the top of the shell as possible. Average temperature
shall be used to correct the measured radii.
10.3 The vertical height difference between the datum-point and the dip-point, if any, shall be measured by
normal surveying methods and recorded.
NOTE In use, each measured tank dip is referred to as a dip-point; the position of the dip-point can differ from the
datum-point used for the purpose of tank calibration (e.g. on the intersection of the tank shell and the tank bottom plate).
11 Calculation and development of capacity tables
11.1 The internal radii of the tank shall be calculated in accordance with Annex B.
11.2 Once the internal radii have been computed, the development of the capacity table shall be carried out
in accordance with ISO 7507-1:2003, Clause 14. The following corrections shall be applied in the
development of the capacity tables:
a) correction for hydrostatic head effect, in accordance with ISO 7507-1:2003, Annex A;
b) correction to the certified tank shell temperature, in accordance with ISO 7507-1:2003, 16.1;
c) correction for deadwood, in accordance with ISO 7507-1:2003, 17.1;
d) correction for tilt, in accordance with ISO 7507-1:2003, 16.2.
© ISO 2010 – All rights reserved 7

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ISO 7507-4:2010(E)
Annex A
(normative)

Procedure for verifying EODR instruments
A.1 General
The EODR instrument used for measurement according to this part of ISO 7507 shall be verified according to
the procedure in this annex.
This procedure shall be carried out to verify the measurement of horizontal and vertical angles by EODR. The
verification
...

SLOVENSKI STANDARD
SIST ISO 7507-4:2010
01-april-2010
1DGRPHãþD
SIST ISO 7507-4:2006
1DIWDLQWHNRþLQDIWQLSURL]YRGL8PHUMDQMHQDYSLþQLKYDOMDVWLKUH]HUYRDUMHY
GHO1RWUDQMDHOHNWULþQRRSWLþQRGLVWDQþQRPHULWYHQDPHWRGD
Petroleum and liquid petroleum products - Calibration of vertical cylindrical tanks - Part 4:
Internal electro-optical distance-ranging method
Pétrole et produits pétroliers liquides - Jaugeage des réservoirs cylindriques verticaux -
Partie 4: Méthode par mesurage électro-optique interne de la distance
Ta slovenski standard je istoveten z: ISO 7507-4:2010
ICS:
75.180.30 Oprema za merjenje Volumetric equipment and
prostornine in merjenje measurements
SIST ISO 7507-4:2010 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST ISO 7507-4:2010

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SIST ISO 7507-4:2010

INTERNATIONAL ISO
STANDARD 7507-4
Second edition
2010-02-01

Petroleum and liquid petroleum
products — Calibration of vertical
cylindrical tanks —
Part 4:
Internal electro-optical distance-ranging
method
Pétrole et produits pétroliers liquides — Jaugeage des réservoirs
cylindriques verticaux —
Partie 4: Méthode par mesurage électro-optique interne de la distance




Reference number
ISO 7507-4:2010(E)
©
ISO 2010

---------------------- Page: 3 ----------------------

SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
PDF disclaimer
This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but
shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In
downloading this file, parties accept therein the responsibility of not infringing Adobe's licensing policy. The ISO Central Secretariat
accepts no liability in this area.
Adobe is a trademark of Adobe Systems Incorporated.
Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation
parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by ISO member bodies. In
the unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below.


COPYRIGHT PROTECTED DOCUMENT


©  ISO 2010
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Published in Switzerland

ii © ISO 2010 – All rights reserved

---------------------- Page: 4 ----------------------

SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
Contents Page
Foreword .iv
1 Scope.1
2 Normative references.1
3 Terms and definitions .1
4 Precautions .2
5 Equipment .2
6 General considerations.3
7 EODR instrument set-up within the tank .4
8 Selection of target points .4
9 Calibration procedure .5
10 Other measurements.7
11 Calculation and development of capacity tables .7
Annex A (normative) Procedure for verifying EODR instruments.8
Annex B (normative) Calculation of internal radii from the measured parameters.11
Annex C (informative) Calibration uncertainties.12
Bibliography.20

© ISO 2010 – All rights reserved iii

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SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies
(ISO member bodies). The work of preparing International Standards is normally carried out through ISO
technical committees. Each member body interested in a subject for which a technical committee has been
established has the right to be represented on that committee. International organizations, governmental and
non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the
International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. ISO shall not be held responsible for identifying any or all such patent rights.
ISO 7507-4 was prepared by Technical Committee ISO/TC 28, Petroleum products and lubricants,
Subcommittee SC 2, Measurement of petroleum and related products.
This second edition cancels and replaces the first edition (ISO 7507-4:1995), which has been technically
revised.
ISO 7507 consists of the following parts, under the general title Petroleum and liquid petroleum products —
Calibration of vertical cylindrical tanks:
⎯ Part 1: Strapping method
⎯ Part 2: Optical-reference-line method
⎯ Part 3: Optical-triangulation method
⎯ Part 4: Internal electro-optical distance-ranging method
⎯ Part 5: External electro-optical distance-ranging method

iv © ISO 2010 – All rights reserved

---------------------- Page: 6 ----------------------

SIST ISO 7507-4:2010
INTERNATIONAL STANDARD ISO 7507-4:2010(E)

Petroleum and liquid petroleum products — Calibration of
vertical cylindrical tanks —
Part 4:
Internal electro-optical distance-ranging method
1 Scope
This part of ISO 7507 specifies a method for the calibration of vertical cylindrical tanks having diameters
greater than 5 m by means of internal measurements using an electro-optical distance-ranging (EODR)
instrument, and for the subsequent compilation of tank capacity tables.
The method is suitable for tanks tilted up to a 3 % deviation from the vertical, provided that a correction is
applied for the measured tilt as described in ISO 7507-1:2003, Clause 11.
This part of ISO 7507 also applies to tanks with floating roofs or internal floating blankets.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced
document (including any amendments) applies.
ISO 7507-1:2003, Petroleum and liquid petroleum products — Calibration of vertical cylindrical tanks —
Part 1: Strapping method
IEC 60825-1:2007, Safety of laser products — Part 1: Equipment classification and requirements
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 7507-1 and the following apply.
3.1
reference target point
fixed point clearly marked on a fixed point within the tank, e.g. on the inside surface of the tank shell wall
3.2
slope distance
distance measured from the electro-optical distance-ranging instrument to a target point on any given course
of the tank shell wall
3.3
target point
one of a series of points on the inside surface of the tank shell wall to which slope distance, and vertical and
horizontal angles are measured by use of the electro-optical ranging instrument
© ISO 2010 – All rights reserved 1

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SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
4 Precautions
The general precautions and safety precautions specified in ISO 7507-1 shall apply to this part of ISO 7507. In
addition, the inside of the tank shall be clean. The laser beam emitted by the distance-ranging unit shall
conform to IEC 60825-1.
5 Equipment
5.1 Electro-optical distance-ranging instrument
To achieve uncertainties of tank volumes acceptable in legal metrology, the angular measuring part of the
−6
instrument should have an angular graduation and resolution equal to or better than 3,142 × 10 rad
1)
[0,2 mgon ] and the distance-measuring part of the instrument, used for direct determination of distances,
should have a graduation and resolution equal to or better than 1 mm.
NOTE For analysis of the impact of uncertainty of the equipment on the uncertainty of the calibration table, refer to
the examples in Annex C.
The accuracy of EODR equipment can be affected by variations of temperature. The manufacturer's guidance
should be followed.
5.2 Instrument mounting
Instrument mounting shall be firm and stable. If a tripod is used, its legs shall be held firm, and steadied, by
suitable devices such as magnetic bearers or an equivalent system. On floating-roof tanks or tanks with
internal floating blankets, the supports of the EODR instrument should preferably rest on the tank bottom,
while access to the instrument is through the roof or the blanket (see Figure 1). If this is not possible,
mounting directly on the floating roof or blanket can be possible, but only if the stability of the instrument
during the calibration procedure can be guaranteed.

Key
1 EODR instrument
2 floating roof
3 tank bottom
Figure 1 — EODR installation on floating roof

1) 2π radians = 400 000 mgon.
2 © ISO 2010 – All rights reserved

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SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
EODR measurements are restricted by
a) minimum measurable distance;
b) minimum incidence angle that still gives expected measurement uncertainty.
These limits are normally provided by the EODR equipment manufacturer.
If, for the given shape of the tank (height and diameter), the limits of incidence angles given by the
manufacturer cannot be met from one position, either a higher uncertainty shall be accepted or the EODR
equipment shall be placed in several positions. If this is not possible, this method might not be suitable for the
given application.
NOTE Integration of measurements from multiple positions of the EODR, if required, is usually performed using
procedures published by the instrument manufacturer. There are no standard calculations and, therefore, this part of
ISO 7507 does not include equations for this case.
5.3 Laser beam emitter
The laser beam emitter used to position target points on the tank shell shall be either an integral part of the
EODR instrument or a separate device whose axis is parallel to the axis of the EODR instrument.
5.4 Stadia
Stadia shall be a bar at least 2 m long with two marks. The graduated length between these marks shall be
calibrated. Extended calibration uncertainty should be of the order of 0,05 mm. The stadia shall be made of a
material whose thermal expansion is known.
5.5 Equipment for bottom calibration
Equipment for calibration of the tank bottom shall be as specified in ISO 7507-1:2003, Clause 10.
5.6 Auxiliary equipment
Auxiliary equipment shall include devices to steady the EODR unit, lighting, etc.
6 General considerations
6.1 The EODR instrument shall be maintained so that its performance can be traced to national and/or
international measurement standards. The accuracy of the angular measuring unit shall be verified using the
procedures described in Annex A. The distance-measuring unit is expected to hold its calibration and it is not
normally necessary to verify it in the field. If verification is performed, the procedure given in Annex A shall be
followed.
6.2 Tanks shall be calibrated only after they have been filled at least once with a liquid of density equal to or
greater than that of the liquid that they will hold when in use.
NOTE The hydrostatic test applied to new tanks can satisfy this requirement in most cases.
6.3 The tank shall be free from vibration and air-borne dust particles. The floor of the tank should be as free
as possible from debris, dust and loose scale.
6.4 Encrustation of the inner walls of the tank should be checked. If the estimated thickness, nature and
distribution of the encrustation are deemed unacceptable, the tank should not be calibrated using this method.
© ISO 2010 – All rights reserved 3

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SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
6.5 Lighting, when required, shall be placed within the tank so as not to interfere with the operation of the
EODR instrument.
6.6 Calibration should be carried out without interruption.
7 EODR instrument set-up within the tank
7.1 The instrument shall be set up with care, in accordance with the procedure and instructions given by the
manufacturer.
7.2 The instrument shall be set up so as to be stable.
If necessary, the tank bottom in the vicinity of the instrument shall be made firm and steady by placing heavy
weights in the area.
The legs of the tripod on which the instrument is mounted shall be steadied by use of suitable devices, such
as magnetic bearers, to prevent slippage on the tank bottom.
7.3 The instrument should be located at, or near, the centre of the tank to ensure that the measured slope
distances, at any one horizontal level, do not vary significantly and to minimize the overall uncertainty of slope
distance determination.
NOTE Stability of the EODR instrument is likely to be more important than its position in the centre of the tank.
7.4 The instrument shall be free from external vibration.
7.5 The sighting lines from the instrument to the tank shell wall shall not be obstructed.
7.6 Select and clearly mark on fixed points inside the tank, e.g. on the shell wall, two reference target points.
These should be approximately 1,571 rad (100 gon) apart and as near to the horizontal plane of the
instrument as possible.
7.7 At least the minimum settling time recommended by the manufacturer should be allowed before the
instrument is used.
7.8 The instrument shall be set horizontal, thus ensuring that the vertical axis (standing axis) is vertical.
8 Selection of target points
8.1 Two sets of target points per course shall be selected, one at approximately 1/4 of the course height
above the lower horizontal seam, the other at approximately 1/4 of the course height below the upper
horizontal seam.
The number of target points per set on each course of the tank shell wall is dependent on tank circumference.
The minimum number of target points per set as a function of tank circumference shall be in accordance with
Table 1, and is illustrated in Figure 2.
Where tank walls are deformed, the number of target points can be greater than the minimum given by this
part of ISO 7507.
8.2 The target points shall be at least 300 mm from any vertical welded seam.
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SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
Table 1 — Minimum number of target points
Tank circumference Minimum number of points
m
u 50 10
> 50, u 100 12
> 100, u 150 16
> 150, u 200 20
> 200, u 250 24
> 250, u 300 30
> 300 36
A number of target points greater than the minimum number of points in Table 1
may be chosen depending on specific circumstances and tank conditions.


Key
1 seam
Figure 2 — Illustration of target positioning on tank shell wall
9 Calibration procedure
9.1 All measurements should be carried out without interruption and as quickly as possible.
9.2 Measure and record the slope distance, horizontal angle and vertical angle to each of the reference
target points.
9.3 Sight all of the target points along the horizontal plane at each course location, and measure the slope
distance, horizontal angle and vertical angle to each, as illustrated in Figure 3.
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SIST ISO 7507-4:2010
ISO 7507-4:2010(E)

Key
1 course height
2 EODR instrument
3 target points on shell wall
θ horizontal angle
φ vertical angle
D slope distance
Figure 3 — Illustration of calibration procedure
9.4 After all measurements on a course have been completed, repeat the measurements to the reference
target points.
9.5 If the repeated slope distances to the reference target points do not agree with the measurements taken
during the setting up of the instrument, within 2 mm, repeat the procedure given in 9.1 to 9.4. Record the
difference of the two measurements as uncorrected instrument drift, e(R ). Add the corresponding standard
dr
uncertainty, u(R ), calculated using Equation (1), to the resulting uncertainty of the tank radius (see Annex C):
dr
eR
()
dr
uR = (1)
()
dr
23
9.6 If the horizontal or vertical angles to the reference target points do not agree with the measurements
−4
taken during the setting up of the instrument, to within 1,571 × 10 rad (0,01 gon), repeat the procedure given
in 9.1 to 9.4. Record the difference of the two measurements as uncorrected instrument drift, e(θ ) (horizontal
dr
angles) and e(φ ) (vertical angles). Add the corresponding standard uncertainty, u(θ ), calculated by using
dr dr
Equation (2) for horizontal angles, or Equation (3) for vertical angles, to the resulting uncertainty of the angular
measurements (see Annex C):
e θ
()
dr
u θ = (2)
()
dr
23
e φ
()
dr
u φ = (3)
()
dr
23
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SIST ISO 7507-4:2010
ISO 7507-4:2010(E)
10 Other measurements
10.1 Tank-bottom calibration and the overall height of the reference point at each dip-hatch shall be carried
out in accordance with ISO 7507-1:2003, Clause 10 and 6.3, respectively.
10.2 The following data shall be determined and recorded:
a) ranges of densities and the working temperatures of the liquids being stored in the tank;
b) height of each course, in accordance with ISO 7507-1:2003, 8.2;
c) thickness of each course of plating, not including the thickness of paint, in accordance with
ISO 7507-1:2003, 8.1;
d) safe filling height and maximum filling height, as determined by local practices;
e) deadwood, in accordance with ISO 7507-1:2003, Clause 9;
f) tilt of the tank as shown by the deviation from a vertical line, in accordance with ISO 7507-1:2003,
Clause 9;
g) average temperature of the tank shell. This should be measured around the tank (at least at four points),
near the bottom of the shell and again as near to the top of the shell as possible. Average temperature
shall be used to correct the measured radii.
10.3 The vertical height difference between the datum-point and the dip-point, if any, shall be measured by
normal surveying methods and recorded.
NOTE In use, each measured tank dip is referred to as a dip-point; the position of the dip-point can differ from the
datum-point used for the purpose of tank calibration (e.g. on the intersection of the tank shell and the tank bottom plate).
11 Calculation and development of capacity tables
11.1 The internal radii of the tank shall be calculated in accordance with Annex B.
11.2 Once the internal radii have been computed, the development of the capacity table shall be carried out
in accordance with ISO 7507-1:2003, Clause 14. The following corrections shall be applied in the
development of the capacity tables:
a) correction for hydrostatic head effect, in accordance with ISO 7507-1:2003, Annex A;
b) correction to the certified tank shell temperature, in accordance with ISO 7507-1:2003, 16.1;
c) correction for deadwood, in accordance with ISO 7507-1:
...