Summary, Conclusions and
Suggestions for Further Study
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Chapter 12 Summary, Conclusions, and Recommendations for Future Research
A.
Summary
The objectives of this
study were to evaluate statistically
the interrelationships among variables
selected to represent the organic component
of whole seam samples
of United States' coals,
to evaluate sources of variation within coals
that have been grouped by different criteria (age, geographic source, rank,
and stratigraphic position), and to group
coals according to a multivariate
classification. The methods employed
included univariate analysis,
bivariate analysis,
partial correlation
analysis, analysis
of variance, principal components analysis,
and cluster analysis.
The results of these analyses
provided information about coalification
processes, and allowed various models
of coalification which have been proposed
by different researchers to be evaluated
and tested against the data.
The 5 strongest factors from the principal
components analyses were used in the cluster
analyses to divide the 277 coals of the data set into groups of greatest similarity.
The best division was attained by 4 groups, with the high-rank group of coals
being most strongly differentiated from all
others. These groups approximately
correspond to the 4 groups found in an earlier,
similar study which was based on a data set
of 119 coals (Waddell
and others, 1978). The groups identified within the present study are as follows:
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1. Group I is composed of the lowest
rank coals of the data set (lignites
through high volatile
C bituminous). All
50 coals of this group are post-Pennsylvanian
in age, and represent the Rocky Mountain, Northern Great Plains,
Gulf, and Pacific Provinces. They are
characterized by low organic sulfur
content and high moisture, volatile
matter, and oxygen values. The coalification
trends which are most evident for this group of coals
are the decrease in oxygen and moisture, and the increase in reflectance,
carbon, and calorific value.
Nitrogen enrichment appears to be more strongly
related to increasing rank for this group
of coals than for any other grouping employed
in this study.
2. Group II coals
occupy the rank range from high volatile
B through medium volatile
bituminous. The group contains coals from all
6 provinces and with ages that range from Pennsyl-vanian
through Eocene. The principal
characteristics of this group of 93 coals
are their intermediate rank and low
organic sulfur content.
The most sensitive rank indicators for this group are carbon and reflectance,
which increase, and oxygen and volatile
matter, which decrease. Hydrogen
displays a small
increase with coalification for this rank
range.
3. Group III coals
essentially occupy the high volatile
bituminous rank range. Their
principal characteristics are their
moderate rank and their high organic sulfur
content. Although the Eastern, Gulf,
Interior, and Rocky Mountain Provinces are represented, the Interior Province
contributes 61 of the 82 coals of this
group. The sensitive rank indicators for these
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coals are calorific
value and carbon, which increase, and
oxygen and moisture, which decrease. Reflectance
increases with rank, but not as sensitively
as calorific value
or carbon. Nitrogen enrichment with rank is also
evident for these coals. 4. Group IV coals,
with 1 exception, vary in rank from medium volatile
bituminous through anthracite.
Their principal characteristic is
their high rank. They are composed primarily
of Eastern Province coals, but about 25
percent are from the Interior Province and
a single sample
is from the Rocky Mountain Province. This 1 coal
is the only non-Pennsylvanian
age coal in the group. The sensitive
rank indicators for this group are hydrogen and volatile
matter, which decrease, and reflectance and
carbon, which increase. Nitrogen
also decreases with rank for this
group, with about half of the variance of
nitrogen related to the effects of rank.
The lip-tinite maceral
group was deleted from the data set because
42 of the 50 coals had zero "liptinite
contents.
The interrelationships
among the variables in coals
grouped by rank yielded the following
results:
1. The group of 22 lignite
and subbituminous coals are all post-Pennsylvanian
in age and represent the Northern Great Plains,
Pacific, Gulf, and Rocky Mountain
Provinces. The sensitive
rank indicators for these low-rank coals
are the reflectance, which increases, and
oxygen content,
which decreases. Although
9 of the 12 variables load
on the rank factor, all loadings are less
than 0.81. This indicates that at low levels
of rank, much of the variance of these variables
is due to
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depos-itional sources which have not yet been obscured by the
effects of rank. Nitrogen
increases with rank through this rank range. Within this low-rank
range, vitrinite-rich coals
have lower moisture contents than vitrinite-poor
coals. The processes of coalification
which have been identified for this group of coals
are as follows: a change in the chemical
composition which affects the calorific
value, a change in the chemical
structure which affects the reflectance, a
change in the porosity which affects the moisture content, and an alteration
of the nitrogen content. In addition, the data may be interpreted to imply
that bituminous substances may be generated with increasing coalification
in this range, possibly contributing to the
observed decrease in porosity with
increasing rank.
2. The 57 high volatile
C bituminous coals
represent the Gulf, Interior, and Rocky
Mountain Provinces. The most sensitive rank indicators for this group of coals
are oxygen content, which decreases, and calorific
value and carbon content, which increase.
High-organic sulfur coals
from the Interior Province tend to confuse the analysis
of this group; they are lower in rank, as
measured by carbon, than the remaining coals
of the group, and are the probable cause of
the association between the organic sulfur
content and the rank-related variables
in the factor analysis. The organic sulfur
distribution for the entire group is trimodal,
indicating that the group is not composed of a homogeneous population.
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3. The 43 high volatile
B bituminous coals
represent the Eastern, Interior, Gulf, and
Rocky Mountain Provinces, and vary in age
from Pennsylvanian through Eocene. The most
sensitive rank indicator for the group is carbon content, which increases;
other rank indicators are calorific value and reflectance,
which increase, and volatile
matter yield and oxygen content, which
decrease. As in the previous rank category, .high-organic
sulfur coals
from the Interior Province tend to confuse the factor analysis
of this group because they are slightly
lower in 'rank,
as measured by carbon, than the remaining coals
of the group.
4. The 97 high volatile
A bituminous coals
represent all 6 provinces and range in
age from Pennsylvanian through Eocene. They
have carbon and reflectance as their most
sensitive rank indicators; ,both variables
increase with increasing rank. The loss of
volatile
matter and hydrogen become significant rank effects at this rank level.
5. The 54 coals
of medium volatile
bituminous and higher rank are all from the
Eastern and Interior Provinces and are all
of Pennsylvanian age, except 1 sample
which is from the Rocky Mountain Province and which is Cretaceous in age. The
coals of this group have hydrogen loss
as their dominant rank effect.
Three other variables --
reflectance, volatile
matter, and carbon -- have loadings
on the first factor that exceed 0.90, indicating that rank has accounted for almost
all the variance of these variables.
These high-rank coals exhibit a
significant nitrogen loss with rank
increase, an effect
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which
accounts for approximately 50 percent of
the variance of this variable. The liptinite maceral
group was deleted from the data set because
42 samples had zero liptinite
contents. Bivariate analyses
revealed the following
rank-related trends:
moisture
and calorific value reverse the slope
of their relationship in the high rank
ranges, and hydrogen shows slight
enrichment up to the high volatile
A bituminous stage, then strong depletion;
nitrogen increases in the low rank ranges
and decreases within the high rank ranges; and the vitrinite
maceral content decreases prior to the
second coalification jump.
The
interactions between the variables were
studied for coals grouped by provinces. The
results of the studies are as follows:
1. Eastern Province coals
which were included in the study were all
Pennsylvanian in age and ranged in rank
from high volatile
B bituminous through anthracite. The
presence of relatively
few anthracites, and their distinctively
higher degree of metamorphism, tended to
skew many of the distributions of the rank-related
variables.
The most sensitive rank indicators
were reflectance, which increases, and volatile
matter and hydrogen, which decrease.
Nitrogen decreases with rank in this group of coals.
Three stratigraphic groups --
the Potts-vine, Allegheny, and Monongahalea
Groups -- were studied by analysis
of variance; they differed significantly only
in carbon, volatile
matter, hydrogen, and nitrogen.
2. Interior
Province coals which were included
in this study were all Pennsylvanian
in age and ranged in rank from high volatile
C to low
volatile
bituminous. The most
sensitive rank498
indicators for these coals are
carbon and reflectance, which
increase, and oxygen and volatile
matter, which decrease. The
distinguishing characteristics of
the Interior Province coals
are their elevated organic sulfur
contents, their depressed
reflectances, and, within the high
volatile bituminous rank
range, their elevated moisture
contents.
3. Northern Great Plains Province
coals which were included in
this study are Cretaceous to
Paleocene in age. Of a total of
only 15 samples, 13 are of
subbituminous B or lower rank, and
the remaining 2 are high volatile A
bituminous. The most sensitive rank indicators for this group are oxygen,
which
decreases, and
reflectance and calorific value, which increase. Nitrogen increases with rank
for these samples.
4. Rocky
Mountain Province coals which were included in this study are Cretaceous to
Eocene in age, and, with the exception of 1 semianthracite, vary in rank from
subbituminous A through high volatile A bituminous. The most sensitive rank
indicators are oxygen, which decreases, and carbon, which increases.
Nitrogen increases with rank in these coals.
5. Only 3
coals represented the Pacific Province in this study; all are Eocene in age
and come from Washington State. They vary in rank from subbituminous B through
high volatile A relative to other coals of ranges. No factor analysis
bituminous. Their properties,
similar rank, fall within typical was attempted for this group.
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6. Gulf Coast Province coals
were represented by only 7 samples. Of these, 1 is Cretaceous in age and the
remainder are Eocene. The ranks vary from subbituminous B through high
volatile A bituminous. No factor analysis was attempted on this group. Their
properties, relative to other coals of similar rank, fal,l within typical
ranges.
An analysis of samples grouped
by age for all coals younger than Pennsylvanian determined that the group of
Paleocene coals (15 samples) differ at the 0.001 probability level from both
the younger Eocene (10 samples) and the older Cretaceous coals (34 samples) in
the following ways: they are higher in moisture and oxygen, and are lower in
carbon, hydrogen, nitrogen, and calorific value.
Analysis of variance was applied to evaluate the
variability that occurs within selected mines for which single seams were
sampled more than once within the Eastern, Interior, and Rocky Mountain
Provinces. The variables chosen for this portion of the study loaded
independently in the principal components analysis: carbon, the percentage of
the inertinite maceral group, and hydrogen. The analysis indicated that the
variance at this level was inhomogeneous, precluding the pooling of the data
to compare the variance at higher levels.
A reconnaissance study of 5 ash
constituents -- the oxides of iron, sodium, potassium, calcium, and magnesium
-- as well as a subdivision of the inertinite maceral group indicated that
iron oxide content of the ash and organic sulfur content are directly related
and are independent of rank; macrinite appears to be inversely related to
organic sulfur, and calcium and magnesium oxides decrease and potassium oxide
increases with rank. The rank-dependence of the oxides of calcium, magnesium,
and
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potassium was
attributed to a geographic bias; Western coals are lower in rank than coals
from the Interior and Eastern Provinces and contain high contents of calcium
and magnesium oxide and low contents of potassium oxide. This portion of the
study provided an opportunity to determine the extent of the variability of
some of the major ash constituents, as well as some of their relationships
to the constituents of the organic fraction of the coal.
B. Conclusions
1. Principal components analysis of the entire data set of coals
and on subsets grouped by ASTM rank category, by geographic
area, and by cluster analyses,
indicated that rank is the most important factor in determining the
variability of the United
States' coals.
Maceral composition is usually the second most important factor, and organic
sulfur content is frequently the third.
2. Cluster
analyses, using the 5 strongest factors, indicated that the coals of the
United States may be divided into groups of greatest similarity, with the best
division achieved with 4 groups.
3. The
principal components analyses of the 4 groups determined by the results of the
cluster analysis were more successful in separating the factors than were
similar analyses of the 5 groups which were classified according to only their
ASTM rank category (lignites through subbituminous A, high volatile C, B, and
A bituminous, and medium volatile bituminous through
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anthracite). This indicates that,
for the variables used in this study, the cluster analysis produces more
homogeneous groups of coals than does the ASTM classification procedure.
High-organic sulfur coals, usually from the Interior Province, are dissimilar
from coals of equivalent rank which are low in organic sulfur; high- and
low-organic sulfur coals which are grouped together in the same ASTM rank
classification manifest a complex set of variable interactions. The ASTM rank
system utilizes parameters for classifying coals which involve less expensive
determinations than the chemical procedures which are employed for the
ultimate (or elemental) analysis. The widely used and standardized procedures
for the ASTM classification may serve the needs of most producers and
consumers of coal, but as a basis of scientific investigation in which
components of the petrographic and elemental analyses are also used as
variables, the ASTM classification becomes less adequate. A system which
produces more homogeneous groups of coals should use a measure of rank as the
primary classification criterion and some other parameter, or set of
parameters, as a secondary criterion.
The secondary criterion may be maceral content, the sulfur content,, or
some other parameter, depending on the specific purpose for which the coals
are being classified. This study suggests that some measure of the sulfur
content would be an important secondary criterion for a scientific
classification of the coals of the United States.
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4. A principal components analysis
of each of the 5 ASTM rank groups indicates that rank has affected the
variables to,such an extent that even when grouped in categories of restricted
rank range, these effects account for more variability of the data sets than
any other factor. The effects of rank appear to have erased much variability
due to pre-coalification conditions and processes. If the groups were
composed of coals of a more limited rank range, the potential for reducing the
effects of rank would be increased. The information which exists among the
interrelationships of the variables that can be attributed to pre-coal
ification processes may be so limited that the only way to adequately control
the rank range of the data set would be to make intensive studies of
individual seams, or sets of seams, over restricted geographic areas.
5. Principal components analysis of
the data set formed by all but Group IV coals indicated that the vitrinite
content decreases with rank up to the start of the medium volatile bituminous
range. The decrease in vitrinite content with increasing rank was attributed
by Waddell and others (1978) to a "pseudocorrelation" resulting from
the relationship of each to age. The relationships between the 3 variables (vitrinite
content, rank, and age) were tested in the present study by a partial
correlation analysis; the results indicated that decreasing vitrinite content
is associated with increasing rank, and not with increasing age. The
independence between vitrinite content and rank in the principal components
analysis for the entire data set results from a discontinuity in
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the
relationship at the second coalification jump (approximately 88 percent
carbon, dmmf),
macerals
abruptly disappear and are microscopically indistinguishable from vitrinite,
causing the vitrinite content to increase in the medium volatile bituminous
and higher rank coals. The observed relationship between vitrinite content and
rank below the second coalification jump is contrary to generally held
theories of coalification which consider rank and total vitrinite content to
be independent over this range of rank.
6. Principal
components analyses of the 4 groups classified by the cluster analyses, and
also on the 5 groups classified by only their ASTM rank category, gave
insights into the processes of coalification over various portions of the rank
range. An unexpected result of this portion of the study was that the nitrogen
content was observed to be dependent on rank: it increases with rank in the
lignite through subbituminous A range, and decreases with rank in the medium
volatile bituminous through anthracite range. An increase in nitrogen had
previously been reported for a group of low-rank coals from New Zealand (Suggate,
1959), but in general the total nitrogen content is taken to be independent of
rank over the entire rank range. The observed increase in nitrogen for the
coals in the present study is approximately equal to the observed decrease in
nitrogen in the high ranks, so that when all the coals are analyzed together,
the nitrogen appears to be independent of rank. The decrease in nitrogen with
which the liptinite
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increasing rank in the high-rank
coals may be an artifact due to an incomplete extraction of nitrogen during
the chemical analytical procedure, since it has been reported that nitrogen is
more difficult to extract in high-rank coals than in lowrank coals (Rees,
1966; Montgomery, 1978).
7. An analysis of samples grouped
by age for all coals younger than Pennsylvanian determined that the group of
Paleocene coals are of lower rank than either the younger Eocene or the older
Cretaceous coals. This unexpected result is attributed to a sampling bias
produced by the low rank of those Paleocene coals of the data set which were
obtained from the Fort Union Region of the Northern Great Plains Province. The
lack of a direct relationship within the post-Pennsylvanian coals between
increasing age and increasing rank permitted an assessment of the effect of
age in this relationship. The increase in nitrogen in this data set was found
to be related to the increase in rank, but is unrelated to the age of the
coal.
8. The inferential statistical
techniques used in this study assume that random samples were drawn from
populations in which the variates were normally distributed.
Sampling maps show the sample sites to be tightly clustered in some
areas and widely spread in others: the Gulf Province is represented by samples
which are clustered in a relatively small portion of southern Texas; except
for 1 sample, all semianthracite and anthracite coals come from a very
restricted geographic region of the Eastern Province; and the concentrated
sampling of
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coals from the Hanna Basin of the
Rocky Mountain Province inherited an unusual relationship which appears to be
unique to the Province -- older coals on the west side are lower in rank than
younger coals on the east (Glass and Roberts, 1980). The effects of such
sampling biases reside with the data; the extent to which they effect the
analysis is difficult to estimate and even more difficult to remove.
9. Bivariate analyses indicate that
none of the relationships between the plotted variables are linear over the
entire range of rank represented by the coals of the entire data set.
The non-linearity of the relationships has a deleterious effect on the
principal components analyses, making the loadings more complex and the
interpretations, therefore, less secure. An improvement in the correlation
coefficients between many of the plotted variables can be obtained by taking
the logarithms of both variables.
10. Analysis of variance was
applied to data from 3 stratigraphic groups from within the Eastern Province;
from stratigraphically lowest to highest, they are the Pottsville,
Allegheny, and Monongahalea Groups.
The groups differed significantly only in carbon, volatile matter,
hydrogen, and nitrogen. Whereas the
nitrogen difference is puzzling, the other 3 variables vary in such a way as
to imply that the coals lower in the stratigraphic section have attained
higher levels of rank. This result is consistent with the well-known Hilt's
Law of coalification.
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11. Analysis of variance indicated
that the Interior Province coals of the high volatile bituminous rank range
contain significantly higher moisture and lower reflectance values, for a
given carbon content, than do the coals from the other provinces. When low
volatile bituminous rank ranges are compared, the Interior Province coals do
not differ significantly from other coals in either carbon or moisture, but do
have significantly lower reflectance values. As rank increases from the
start of the high volatile bituminous stage, the moisture properties of the
Interior Province coals reach a normal range in the high volatile A bituminous
stage; the reflectance values, however, continue to be low through the low
volatile bituminous stage, but they more closely approach the normal range
as rank increases. The effects of increasing rank tend to make the coals from
the Interior Province more similar to all other coals.
12. Analysis of mines in which
single seams of coal were sampled more than once over various intervals from
within the Interior, Eastern, and Rocky Mountain Provinces revealed that the
variance at the lowest level -- within mines -- is inhomogeneous for the 3
variables which loaded independently on the factor analysis: carbon, the
percentage of the inertinite maceral group, and hydrogen. This prevents the
data from being pooled to then compare variation between mines within each
province, or the variation from province to province. Analysis of variance
of these 3 variables revealed that the variation within mines and the
variation between mines was inconsistent from
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variable to
variable and from province to province.
Thus no conclusions can be drawn about which province exhibits the most
variation within mines and which exhibits the most variation between mines.
The lack of replicate analyses for any of the samples prevents the within mine
variance from being further decomposed into the portion which is due to
measurement error and that which is due to
samples.
The analysis emphasizes of variation within coal seams so plans and
effective study designs can be formulated to take maximum advantage of this
variation.
variability between the the need to assess sources that efficient sampling
C. Recommendations for Future
Research
Based upon the
results of this study, the following recommendations for further research are
proposed:
1. This study has shown that rank accounts for the largest source of
variation of the data set and, consequently, obscures sources of variation due
to pre-coalification effects.
The effects of rank could be controlled to allow the study of pre-coalification
processes by sampling coals from very restricted rank ranges, and/or by
selecting variables which are less rank dependent.
2. The
variation of selected independent variables within mines from which more than
1 sample was taken was found to be inhomogeneous, and an unknown portion of
this variation is due to analysis error. Duplicate
analyses would allow a suitably
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designed study to establish
confidence intervals for the different variables and would allow the within
mine variation to be further decomposed into its constituent parts.
3. The present analysis has shown
that many of the bivariate relationships among the variables are log/log
linear and that much redundancy exists among the parameters which load upon
the rank component. A factor analysis, using appropriate transformations, may
be applied to test specific models of coalification which are presented in
this study and elsewhere. 4. The decrease in nitrogen content of the high-rank
coals may be due to an incomplete extraction of the nitrogen in the chemical
analysis process. A specific study could be designed to test this effect.
5. The cluster analysis procedure
has produced groups of coals which are more homogeneous than the ASTM
classification system. A specific study could be designed to establish a new
set of criteria for the scientific classification of coals.