Copper, lead, zinc and nickel concentrates - Sampling procedures for determination of metal and moisture content

This document sets out the basic methods for sampling copper, lead, zinc and nickel concentrates from moving streams and stationary lots, including stopped-belt sampling, to provide samples for chemical analysis, physical testing and determination of moisture content, in accordance with the relevant International Standards. Where the concentrates are susceptible to significant oxidation or decomposition, a common sample that is sufficiently representative, i.e. unbiased and sufficiently precise, is used for moisture determination and chemical analysis to eliminate bias (see ISO 10251). Any large agglomerates (>10 mm) present in the primary sample are crushed prior to further sample processing. Sampling of concentrates in slurry form is specifically excluded from this document. Stopped-belt sampling is the reference method for collecting concentrate samples against which mechanical and manual-sampling procedures can be compared. Sampling from moving streams is the preferred method. Both falling-stream and cross-belt samplers are described. Sampling from stationary lots is used only where sampling from moving streams is not possible. The procedures described in this document for sampling from stationary lots only minimize some of the systematic sampling errors.

Concentrés de cuivre, de plomb, de zinc et de nickel — Procédures d'échantillonnage pour la détermination de la teneur en métal et de l'humidité

General Information

Status
Published
Publication Date
09-May-2021
Current Stage
6060 - International Standard published
Start Date
10-May-2021
Due Date
07-Nov-2021
Completion Date
10-May-2021
Ref Project

Relations

Overview

ISO 12743:2021 - Copper, lead, zinc and nickel concentrates - Sampling procedures for determination of metal and moisture content - establishes standardized sampling procedures for concentrates to provide reliable samples for chemical analysis, physical testing and moisture determination. The fourth edition (2021) defines preferred and reference sampling methods for concentrates from moving streams and stationary lots, excludes slurry sampling, and requires preparation steps (e.g., crushing large agglomerates >10 mm). Where concentrates oxidize or decompose, a common representative sample for both moisture and chemical analysis is required (see ISO 10251).

Key topics and technical requirements

  • Sampling theory and variance: total variance, sampling-stage estimation, simplified and interleaved-sample methods for assessing precision and bias.
  • Sampling schemes: establishing intervals, number and mass of increments, and lot/subsample constitution to meet representativity targets.
  • Preferred vs reference methods:
    • Moving-stream sampling is preferred (falling-stream and cross-belt samplers described).
    • Stopped-belt sampling is the reference method against which mechanical and manual procedures are compared.
  • Mechanical and manual sampling:
    • Design and placement of sample cutters, cutter speed, safety and bias-minimization measures.
    • Mass-basis and time-basis systematic sampling, stratified random sampling, and procedures for manual full- and partial-stream cuts.
  • Sample handling:
    • Crushing of large agglomerates (>10 mm) before further processing, procedures for division, comminution, mixing and subsampling.
  • Special situations: sampling from grabs, trucks, railway wagons, hoppers, bags/drums, stockpiles; limitations (slurry excluded).
  • Quality control: routine checking, interleaved sampling provisions, and steps to minimize and detect systematic errors.

Applications and who uses it

ISO 12743:2021 is essential for practical workflows that require accurate metal assays and moisture content in concentrates:

  • Mine operators and concentrator plants performing QA/QC on copper concentrates, lead concentrates, zinc concentrates and nickel concentrates.
  • Metallurgists, assay laboratories and laboratory managers establishing sampling protocols and sample preparation.
  • Sampling equipment manufacturers and conveyor/system designers implementing compliant mechanical sampling systems (falling-stream, cross-belt, stopped-belt).
  • Traders, inspectors and regulators needing defensible, unbiased sampling reports for transactions, compliance and dispute resolution.

Related standards

  • ISO 10251 - referenced for combined moisture and chemical analysis sampling when oxidation/decomposition is a concern.
  • ISO 12743:2021 should be used alongside other relevant International Standards for laboratory analysis and material handling to ensure end-to-end sampling integrity.

Keywords: ISO 12743:2021, sampling procedures, copper concentrate sampling, moisture determination, stopped-belt sampling, falling-stream sampler, cross-belt sampler, mechanical sampling, manual sampling, sampling variance.

Standard
ISO 12743:2021 - Copper, lead, zinc and nickel concentrates — Sampling procedures for determination of metal and moisture content Released:5/10/2021
English language
77 pages
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Frequently Asked Questions

ISO 12743:2021 is a standard published by the International Organization for Standardization (ISO). Its full title is "Copper, lead, zinc and nickel concentrates - Sampling procedures for determination of metal and moisture content". This standard covers: This document sets out the basic methods for sampling copper, lead, zinc and nickel concentrates from moving streams and stationary lots, including stopped-belt sampling, to provide samples for chemical analysis, physical testing and determination of moisture content, in accordance with the relevant International Standards. Where the concentrates are susceptible to significant oxidation or decomposition, a common sample that is sufficiently representative, i.e. unbiased and sufficiently precise, is used for moisture determination and chemical analysis to eliminate bias (see ISO 10251). Any large agglomerates (>10 mm) present in the primary sample are crushed prior to further sample processing. Sampling of concentrates in slurry form is specifically excluded from this document. Stopped-belt sampling is the reference method for collecting concentrate samples against which mechanical and manual-sampling procedures can be compared. Sampling from moving streams is the preferred method. Both falling-stream and cross-belt samplers are described. Sampling from stationary lots is used only where sampling from moving streams is not possible. The procedures described in this document for sampling from stationary lots only minimize some of the systematic sampling errors.

This document sets out the basic methods for sampling copper, lead, zinc and nickel concentrates from moving streams and stationary lots, including stopped-belt sampling, to provide samples for chemical analysis, physical testing and determination of moisture content, in accordance with the relevant International Standards. Where the concentrates are susceptible to significant oxidation or decomposition, a common sample that is sufficiently representative, i.e. unbiased and sufficiently precise, is used for moisture determination and chemical analysis to eliminate bias (see ISO 10251). Any large agglomerates (>10 mm) present in the primary sample are crushed prior to further sample processing. Sampling of concentrates in slurry form is specifically excluded from this document. Stopped-belt sampling is the reference method for collecting concentrate samples against which mechanical and manual-sampling procedures can be compared. Sampling from moving streams is the preferred method. Both falling-stream and cross-belt samplers are described. Sampling from stationary lots is used only where sampling from moving streams is not possible. The procedures described in this document for sampling from stationary lots only minimize some of the systematic sampling errors.

ISO 12743:2021 is classified under the following ICS (International Classification for Standards) categories: 73.060.99 - Other metalliferous minerals. The ICS classification helps identify the subject area and facilitates finding related standards.

ISO 12743:2021 has the following relationships with other standards: It is inter standard links to ISO 12743:2018. Understanding these relationships helps ensure you are using the most current and applicable version of the standard.

You can purchase ISO 12743:2021 directly from iTeh Standards. The document is available in PDF format and is delivered instantly after payment. Add the standard to your cart and complete the secure checkout process. iTeh Standards is an authorized distributor of ISO standards.

Standards Content (Sample)


INTERNATIONAL ISO
STANDARD 12743
Fourth edition
2021-05
Copper, lead, zinc and nickel
concentrates — Sampling procedures
for determination of metal and
moisture content
Concentrés de cuivre, de plomb, de zinc et de nickel — Procédures
d'échantillonnage pour la détermination de la teneur en métal et de
l'humidité
Reference number
©
ISO 2021
© ISO 2021
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting
on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address
below or ISO’s member body in the country of the requester.
ISO copyright office
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: +41 22 749 01 11
Email: copyright@iso.org
Website: www.iso.org
Published in Switzerland
ii © ISO 2021 – All rights reserved

Contents Page
Foreword .vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Sampling theory . 4
4.1 General . 4
4.2 Total variance . 4
4.3 Sampling-stage method of estimating sampling and total variance . 6
4.4 Simplified method of estimating sampling and total variance . 8
4.5 Interleaved sample method of measuring total variance .10
5 Establishing a sampling scheme .12
6 Mass of increment .17
6.1 General .17
6.2 Mass of increment for falling-stream samplers .17
6.3 Mass of increment for cross-belt samplers .17
6.4 Mass of increment for manual sampling from stationary lots .17
6.4.1 Primary increments .17
6.4.2 Mass of secondary and subsequent increments .18
6.5 Mass of increment for stopped-belt reference sampling .18
7 Methods of sampling from concentrate streams .18
7.1 General .18
7.2 Mass-basis systematic sampling .18
7.2.1 General.18
7.2.2 Sampling interval .19
7.2.3 Sample cutter .19
7.2.4 Taking of primary increments .19
7.2.5 Constitution of subsamples and lot samples .19
7.2.6 Types of division .20
7.2.7 Division of increments .20
7.2.8 Division of subsamples .20
7.2.9 Division of lot samples .20
7.3 Time-basis systematic sampling .21
7.3.1 General.21
7.3.2 Sampling interval .21
7.3.3 Sample cutter .21
7.3.4 Taking of primary increments .22
7.3.5 Constitution of subsamples and lot samples .22
7.3.6 Types of division .22
7.3.7 Division of increments and subsamples .22
7.3.8 Division of lot samples .22
7.4 Stratified random sampling .22
7.4.1 Fixed mass intervals .22
7.4.2 Fixed time intervals .23
8 Mechanical sampling of concentrate streams .23
8.1 General .23
8.2 Design of the sampling system .23
8.2.1 Safety of operators .23
8.2.2 Location of sample cutters .23
8.2.3 Provision for interleaved sampling .24
8.2.4 Provision for stratified random sampling .24
8.2.5 Checking precision and bias.24
8.2.6 Avoiding bias .24
8.2.7 Minimizing bias .24
8.2.8 Configuration of the sampling system .24
8.3 Sample cutters .25
8.3.1 General.25
8.3.2 Design criteria .25
8.3.3 Cutter speed .26
8.4 Mass of increments.27
8.5 Number of increments .27
8.6 Sampling interval .27
8.7 Routine checking .27
9 Manual sampling of concentrate streams .28
9.1 General .28
9.2 Choosing the sampling location .28
9.3 Sampling implements .28
9.4 Mass of increments.29
9.5 Number of increments .29
9.6 Sampling interval .29
9.7 Sampling procedures .29
9.7.1 General.29
9.7.2 Full stream cut from a falling stream .29
9.7.3 Partial stream cuts from a falling stream .29
9.7.4 Sampling from moving conveyor belts .30
10 Stopped-belt reference sampling .30
11 Sampling from grabs .31
11.1 General .31
11.2 Mass of primary increments .31
11.3 Number of primary increments .31
11.4 Method of sampling .32
11.5 Constitution of subsamples and lot samples.32
12 Sampling from trucks, railway wagons and sampling hoppers .32
12.1 General .32
12.2 Mass of primary increments .32
12.3 Number of primary increments .32
12.4 Method of sampling .32
12.5 Constitution of subsamples and lot samples.33
13 Sampling of concentrate in bags or drums .36
13.1 General .36
13.2 Mass of primary increments .36
13.3 Number of primary increments .36
13.4 Method of sampling .37
13.4.1 General.37
13.4.2 Sampling during filling or emptying .37
13.4.3 Spear sampling .37
13.5 Constitution of subsamples and lot samples.37
14 Sampling of stockpiles .38
15 Methods of comminution, mixing and division .38
15.1 General .38
15.2 Comminution .38
15.2.1 General.38
15.2.2 Mills .38
15.3 Mixing .39
15.3.1 General.39
15.3.2 Methods of mixing .39
15.4 Division .40
15.4.1 Chemical analysis samples .40
iv © ISO 2021 – All rights reserved

15.4.2 Moisture samples .41
15.4.3 Number of increments for division .41
15.4.4 Minimum mass of divided sample .41
15.4.5 Rotary sample division .42
15.4.6 Cutter-type division.43
15.4.7 Manual increment division .43
15.4.8 Spear division .43
15.4.9 Fractional shovelling .44
15.4.10 Ribbon division .45
15.4.11 Riffle division .47
16 Sample requirements .49
16.1 Moisture samples .49
16.1.1 Mass of test portion .49
16.1.2 Processing of samples .49
16.2 Chemical analysis samples . .49
16.3 Physical test samples .50
17 Packing and marking of samples .50
Annex A (normative) Sampling stage method of estimating sampling and total variance .51
Annex B (informative) Estimation of total variance — Barge unloading using a grab .58
Annex C (informative) Mechanical sample cutters .62
Annex D (informative) Checklist for mechanical sampling systems .67
Annex E (normative) Manual sampling devices .71
Annex F (informative) Apparatus for manual sampling of concentrates from stopped belts .73
Annex G (informative) Sampling of stockpiles .74
Annex H (normative) Increment division scoops for conducting manual increment division .76
Bibliography .77
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.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular, the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www .iso .org/ directives).
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. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see www .iso .org/ patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see www .iso .org/
iso/ foreword .html.
This document was prepared by Technical Committee ISO/TC 183, Copper, lead, zinc and nickel ores and
concentrates.
This fourth edition cancels and replaces the third edition (ISO 12743:2018), which has been technically
revised. The main changes to the previous edition are as follows:
— The minimum cutting aperture for cross-belt cutters in 8.3.2.3 i) has been reduced to 30 mm.
— A NOTE has been added to 15.4.10 indicating that ribbons with smaller dimensions can be formed
depending on the mass of sample to be divided, and that the ribbon division method is particularly
suitable for dividing chemical analysis samples.
— The requirements for preparation of chemical analysis samples in 16.2 have been expanded.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www .iso .org/ members .html.
vi © ISO 2021 – All rights reserved

INTERNATIONAL STANDARD ISO 12743:2021(E)
Copper, lead, zinc and nickel concentrates — Sampling
procedures for determination of metal and moisture
content
WARNING — This document can involve hazardous materials, operations and equipment. It
is the responsibility of the user of this document to establish appropriate health and safety
practices and to ensure compliance with any other restrictions.
1 Scope
This document sets out the basic methods for sampling copper, lead, zinc and nickel concentrates
from moving streams and stationary lots, including stopped-belt sampling, to provide samples for
chemical analysis, physical testing and determination of moisture content, in accordance with the
relevant International Standards. Where the concentrates are susceptible to significant oxidation
or decomposition, a common sample that is sufficiently representative, i.e. unbiased and sufficiently
precise, is used for moisture determination and chemical analysis to eliminate bias (see ISO 10251).
Any large agglomerates (>10 mm) present in the primary sample are crushed prior to further sample
processing. Sampling of concentrates in slurry form is specifically excluded from this document.
Stopped-belt sampling is the reference method for collecting concentrate samples against which
mechanical and manual-sampling procedures can be compared. Sampling from moving streams is the
preferred method. Both falling-stream and cross-belt samplers are described.
Sampling from stationary lots is used only where sampling from moving streams is not possible. The
procedures described in this document for sampling from stationary lots only minimize some of the
systematic sampling errors.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements 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 10251, Copper, lead, zinc and nickel concentrates — Determination of mass loss of bulk material on
drying
ISO 12744, Copper, lead, zinc and nickel concentrates — Experimental methods for checking the precision
of sampling
ISO 13292, Copper, lead, zinc and nickel concentrates — Experimental methods for checking the bias of
sampling
3 Terms and definitions
For the purposes of this document, the following terms and definitions apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https:// www .iso .org/ obp
— IEC Electropedia: available at http:// www .electropedia .org/
3.1
representative sample
quantity of concentrate representing a larger mass of concentrate with both precision (3.29) and bias
(3.28) within acceptable limits
3.2
lot
quantity of concentrate to be sampled
3.3
lot sample
quantity of concentrate representative of the lot (3.2)
3.4
sub-lot
subdivided parts of a lot (3.2) which are processed separately, each of them producing a subsample (3.5)
which is analysed separately, for example for moisture determination
3.5
subsample
quantity of concentrate representative of the sub-lot (3.4)
3.6
sampling
sequence of operations aimed at obtaining a sample representative of a lot (3.2)
Note 1 to entry: It comprises a series of sampling stages, each stage usually comprising operations of selection
and preparation.
3.7
selection
operation by which a smaller quantity of concentrate is taken from a larger quantity of concentrate
3.8
increment
quantity of concentrate selected by a sampling device in one operation
3.9
division
operation of decreasing sample mass, without change of particle size, where a representative part of
the sample is retained
3.10
constant-mass division
method of division (3.9) in which the retained portions from individual increments (3.8) or subsamples
(3.5) are of uniform mass
3.11
proportional division
method of division (3.9) in which the retained portions from individual increments (3.8) or subsamples
(3.5) are a constant proportion of their original mass
3.12
preparation
nonselective operation without division (3.9) such as sample transfer, drying, comminution or
homogenization
3.13
sample processing
whole sequence of selection and preparation operations which transforms a stage i sample (3.15) into a
test sample (3.19)
2 © ISO 2021 – All rights reserved

3.14
comminution
operation of reducing particle size by crushing, grinding or pulverisation
3.15
stage i sample
sample obtained at the ith stage of the sampling scheme
3.16
moisture sample
representative quantity of concentrate from which test portions (3.20) are taken for moisture
determination
Note 1 to entry: Alternatively, the whole moisture sample may be dried to determine its moisture content.
3.17
laboratory sample
sample that is processed so that it can be sent to the laboratory and used for further processing and
selection of one or more test samples (3.19) for analysis
3.18
common sample
representative quantity of concentrate which is dried to determine its mass loss and subsequently used
for further processing and selection of one or more test samples (3.19) for chemical analysis
3.19
test sample
representative quantity of concentrate obtained from a laboratory sample (3.17) when additional
preparation, such as drying or hygroscopic moisture determination, is needed prior to the selection of
one or more test portions (3.20)
3.20
test portion
representative quantity of concentrate taken from a moisture sample (3.16), a laboratory sample (3.17)
or a test sample (3.19) which is submitted to moisture determination or analysis in its entirety
3.21
systematic sampling
selection of increments (3.8) in which the concentrate being sampled is divided into equal strata and
the first increment (3.8) is taken at random within the first stratum, the interval between subsequent
increments (3.8) being equal to the stratum size
3.22
stratified random sampling
selection of increments (3.8) in which the concentrate being sampled is divided into equal strata, each
increment (3.8) being taken at random within each stratum
3.23
agglomerate
cluster of particles that are held together by chemical or physical phenomena
3.24
nominal top size
aperture size of a test sieve that retains 5 % of the mass of concentrate
3.25
moisture determination
quantitative measurement of the mass loss of the moisture test portion (3.20) under the conditions of
drying specified in ISO 10251
3.26
chemical analysis
quantitative determination of the required chemical constituents of the analysis test portion (3.20)
3.27
error
difference between the true value and the value obtained for an individual measurement in any
quantitative measurement
3.28
bias
statistically significant difference between the mean of the test results and an accepted reference value
Note 1 to entry: See also ISO 13292.
3.29
precision
closeness of agreement between independent test results obtained under stipulated conditions
Note 1 to entry: See also ISO 12744.
3.30
interleaved samples
samples constituted by placing consecutive primary increments (3.8) alternately into two separate
sample containers
4 Sampling theory
4.1 General
The basic rule for a correct sampling method is that all possible increments from the concentrate
stream or stratum shall have the same probability of being selected and appearing in the sample. Any
deviation from this basic requirement can result in a bias. An incorrect sampling scheme cannot be
relied on to provide representative samples.
Sampling should preferably be carried out on a systematic basis, either on a mass basis (see 7.2) or
on a time basis (see 7.3), but only where it can be shown that no systematic error (or bias) could be
introduced due to any periodic variation in quality or quantity that may coincide with, or approximate
to, any multiples of the proposed sampling interval. In such cases, it is recommended that stratified
random sampling within fixed time or mass intervals be carried out (see 7.4).
The methods for sampling, including sample processing, depend on the final choice of the sampling
scheme and on the steps necessary to minimize possible systematic errors. The aim is always to reduce
the total variance to an acceptable level, while at the same time eliminating any significant biases, for
example minimizing degradation of samples used for determination of size distribution.
Moisture samples shall be processed as soon as possible and test portions shall be weighed immediately.
If this is not possible, samples shall be stored in impervious airtight containers with a minimum of free
air space to minimize any change in moisture content but should be prepared without delay.
4.2 Total variance
The general aim of a sampling scheme is to provide one or several test portions, sufficiently
representative of a lot, for determination of the quality characteristics of the lot. The total variance of
the final result, denoted by s , consists of the variance of sampling (including sample processing) plus
T
4 © ISO 2021 – All rights reserved

the variance of analysis (e.g. chemical analysis, moisture determination, determination of particle size
distribution) and is given by Formula (1):
22 2
ss=+ s (1)
TS A
where
is the sampling variance (including sample processing);
s
S
s
is the analytical variance.
A
In Formula (1), the sampling variance includes the variances due to all sampling (and sample processing)
steps, except selection of the test portion. The variance due to selection of the test portion is included in
the analytical variance, s , which shall be determined in accordance with ISO 12744, because it is
A
difficult to determine separately the “true” analytical variance.
Often replicate analyses of quality characteristics are carried out, which reduces the total variance. In
this case, if r replicate analyses are made, the total variance is given by Formula (2):
s
A
ss=+ (2)
TS
r
The estimation or measurement of the total variance can be carried out in several ways, depending on
the purpose of the exercise. In many respects, the different approaches are complementary.
[3,4]
The first method, which was developed by Gy, is to break up the sampling variance into its
components for each sampling stage, and shall be carried out as specified in Annex A. The total variance
is then given by Formula (3):
s
A
22 22
ss=+.++ss.++ (3)
T
SS S
11iu−
r
where
s is the sampling variance for stage 1, i.e. the primary sampling variance;
S
is the sampling variance for stage i;
s
S
i
s is the sampling variance for stage u − 1, the second last stage;
S
u−1
u is the number of sampling stages, stage u corresponding to selection of the test portion.
This is referred to as the “sampling stage” method (see 4.3) and provides very detailed information on
the variance components, which is particularly useful for designing and assessing sampling schemes.
However, to obtain maximum benefit it is necessary to collect data at each sampling stage.
The second method, called the “simplified” method (see 4.4), is to break up the total variance into
primary sampling, sample processing and analytical variances only. In this case, the total variance is
given by Formula (4):
s
A
22 2
ss=+s + (4)
T P
S
r
where
s is the primary sampling variance;
S
is the variance due to all subsequent sampling steps, i.e. sample processing, except selection of
s
P
the test portion;
is the analytical variance, including selection of the test portion [at stage u in
s
A
Formula (3)].
The primary sampling variance is identical to the sampling variance for stage 1 in Formula (3), while
s is equal to the total sampling variance for the remaining sampling stages, except for selection of the
P
test portion which is included in the analytical variance. The relative magnitudes of the variance
components in Formula (4) indicate where additional effort is required to reduce the total variance.
However, it is not possible to separate the variances of the separate sample-processing stages. This
method is suitable for estimating the total variance for new sampling schemes based on the same
sample-processing procedures, where the numbers of primary increments, sample processings and
analyses are varied.
Finally, the total variance s can be estimated experimentally by collecting interpenetrating duplicate
T
samples (see 4.5). This is called the “interleaved sample” method and gives valuable information on the
total variance actually achieved for a given sampling scheme with no extra effort, provided facilities
[5]
are available for collecting duplicate samples (Merks ). It gives no information on variance components,
but the total variance can be compared with the analytical variance to ascertain whether the sampling
scheme used was optimized or not. It is therefore of limited use for designing sampling schemes, but it
can be used to monitor whether a sampling scheme is in control.
4.3 Sampling-stage method of estimating sampling and total variance
The sampling variance for stage i is given by Formula (5) (see Annex A):
s
b
i
s = (5)
S
i n
i
where
is the variance between increments for stage i;
s
b
i
n
is the number of increments for stage i.
i
The variance between increments for stage i, s , can be estimated using Formula (6):
b
i
n
()xx−

j
j=1
2 2
s = −s (6)
PA
b
i
n −1
i
where
x
is the test result for increment j;
j
x
is the mean test result for all increments;
s is the variance of subsequent sample processing and analysis.
PA
6 © ISO 2021 – All rights reserved

The variance of subsequent sample processing and analysis of each increment, s , has been taken into
PA
account in Formula (6) to obtain an unbiased estimate of s .
b
i
NOTE Care is needed in subtracting variances. The difference is significant only when the F ratio of the
variances being subtracted is statistically significant.
Remembering that the variance due to selection of the test portion is included in the analytical variance
s , the total sampling variance is given by Formula (7):
A
u−1
s
b
i
s = (7)
S ∑
n
i
i=1
Combining Formulae (2) and (7) provides the total variance s , which is given by Formula (8):
T
u−1
s 2
s
b
i A
s =+ (8)
T ∑
n r
i
i=1
For a three-stage sampling scheme (including selection of the test portion), Formula (8) reduces to
Formula (9):
2 2
s s 2
s
bb
i 2 A
s =+ + (9)
T
n n r
1 2
The best way of reducing the value of s to an acceptable level is to reduce the largest terms in
T
Formula (8) first. Clearly sn/ for a given sampling stage can be reduced by increasing the number of
i
b
i
increments n or reducing s by homogenizing the concentrate prior to sampling. The last term can be
i
b
i
reduced by reducing the particle size prior to selection of the test portion or performing replicate
analyses. Selecting the optimum number of increments n for each sampling stage may require several
i
iterations to obtain the required total variance s .
T
EXAMPLE Consider a four-stage sampling scheme for determining the metal content of a copper concentrate
containing 31,2 % Cu. Assume that the concentrate is being conveyed at 500 t/h on a conveyor belt, that the lot
size is 500 t, and that the following parameters have been determined using Formula (6) where appropriate:
s =03,%Cu
b
s =02,%Cu
b
s =01,%Cu
b
s =00,%5 Cu
A
NOTE Many measurements might be required to obtain good estimates of s , s , s and s .
b b b A
1 2 3
Stage 1
Assume that the primary cutter takes increments of 12 kg mass at 2 min intervals. Thus:
n = 30
Primary sample mass = 360 kg
Formula (5) gives:
s = (0,3) /30 = 0,003 0
S
Stage 2
The primary increments are collected in a hopper and then fed to the secondary cutter at a rate of
360 kg/
...

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記事タイトル:ISO 12743:2021 - 銅、鉛、亜鉛およびニッケル濃縮鉱石- 金属および水分含有量の決定のためのサンプリング手順 記事内容:この文書では、移動する流れおよび静止したロットからの銅、鉛、亜鉛、およびニッケル濃縮鉱石のサンプリング方法を基本的に示し、関連する国際標準に従って化学分析、物理的試験、および水分含有量の決定のためのサンプルを提供します。濃縮鉱石が酸化または分解の可能性がある場合、バイアスを除くためにバイアスの影響を受けない十分に代表的な共通のサンプルを使用して、水分の決定および化学分析が行われます(ISO 10251参照)。主要サンプルに存在する大型の凝集体(>10mm)は、追加のサンプル処理の前に破砕されます。この文書では、スラリー形式の濃縮鉱石のサンプリングは特に除外されています。停止ベルトサンプリングは、濃縮鉱石のサンプル収集の基準方法であり、機械および手動サンプリング手順と比較するためのものです。移動する流れからのサンプリングが好ましい方法です。フォーリングストリームおよびクロスベルトサンプラーが説明されています。移動する流れからのサンプリングが不可能な場合にのみ、静止したロットからのサンプリングが使用されます。静止したロットからのサンプリングによって、いくつかの系統的なサンプリングエラーが最小限に抑えられます。

ISO 12743:2021 is a standard that outlines the methodology for sampling copper, lead, zinc, and nickel concentrates. The document covers both moving streams and stationary lots, including stopped-belt sampling. The purpose of sampling is to obtain representative samples for chemical analysis, physical testing, and moisture content determination. The standard emphasizes the importance of using unbiased and precise sampling methods. In cases where concentrates are prone to oxidation or decomposition, a common sample is used for moisture determination and chemical analysis to eliminate bias. The document excludes the sampling of concentrates in slurry form. Stopped-belt sampling is considered the reference method, against which other mechanical and manual-sampling procedures can be compared. Sampling from moving streams is preferred, but in cases where it is not possible, sampling from stationary lots is utilized to minimize systematic sampling errors.

기사 제목: ISO 12743:2021 - 구리, 납, 아연 및 니켈 농축물 - 금속 및 수분 함유량 측정을 위한 샘플링 절차 기사 내용: 이 문서는 이동하는 흐름 및 정지 상태의 묶음에서 구리, 납, 아연 및 니켈 농축물의 샘플링 기본 방법을 설명하며, 중지된 벨트 샘플링을 포함하여 화학 분석, 물리적 실험 및 수분 함유량 측정을 위한 샘플을 제공하는 것을 목표로 합니다. 이 문서는 관련 국제 표준에 따라 실시됩니다. 농축물이 산화되거나 분해될 위험이 있는 경우, 편향을 없애기 위해 충분히 대표적인 표본을 사용하여 수분 측정 및 화학 분석이 이루어집니다(ISO 10251 참조). 주요 표본에 존재하는 대형 응집체(>10 mm)는 추가적인 샘플 처리 전에 분쇄됩니다. 이 문서에서는 슬러리 형태의 농축물 샘플링은 특별히 제외됩니다. 중지된 벨트 샘플링은 농축물 샘플을 수집하기 위한 기준 방법으로, 기계 샘플링 및 수동 샘플링 절차와 비교할 수 있습니다. 이동하는 흐름에서의 샘플링이 선호되는 방법입니다. 하강 흐름 및 크로스 벨트 샘플러가 설명되어 있습니다. 정지 상태의 묶음에서의 샘플링은 이동하는 흐름에서의 샘플링이 불가능한 경우에만 사용됩니다. 정지 상태의 묶음에서 샘플링하는 절차는 일부 체계적인 샘플링 오류를 최소화합니다.