数学建模英文论文模板
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Surface Analysis Of Soil
Heavy Metals Pollution In Cities
Summary
Urban development
process, the harm caused by environmental
pollution can not
be
underestimated.
Based
on
the
surface
soil
heavy
metal
pollution
of
the
city,
the
main
draw of heavy metals in urban spatial
distribution, further analysis to obtain the
degree
of
contamination
of
heavy
metals
in
different
regions,
which
explain
the
reasons for the degree of pollution and
contamination of different functional areas of
the
city,
and
then
determine
the
specific
location
of
sources
and
to
establish
correlation model
for further optimization.
1)
We
use
the
single
factor
analysis
to
establish
the
mathematical
model
evaluate the degree of pollution, the
introduction of elements
of pollution
index Pi,
the highest in the various
functional areas of heavy metal content as the key
factor,
industrial
zones
and
traffic
areas
come
under
heavy
pollution,
living
area
with
moderate pollution, light pollution
park green areas, mountainous areas of pollution.
2)The
main heavy
metal
pollutants
in
the various
functional
areas using SAS
software
for
factor
analysis
to
identify
potential
factors,
to
determine
whether
different
heavy
metal
contaminants
from
the
same
sources.
The
conclusion
that
the
living
area
is
moderately
polluted
copper,
mild
zinc,
cadmium,
mercury
and
other
conclusions.
3)
we have
established two models. The first
by
weighting the pollution
load
method first calculates the sample
points of the heavy metals contained in the
largest
contribution
to
the
value.
The
second
model
by
MATLAB
software
for
regression
analysis to explore the relationship
between heavy metal concentration and x, y and
elevation between the regression
equation . Finally, the comparison of the two
models
pollution position obtained by
analysis of the outcome we want to optimize .
4) we found only with the
attachment of the relevant data is difficult to
explore
the evolution model of urban
geological environment, access to relevant
information
shows that there is in the
atmosphere , groundwater, concentrations of heavy
metals in
plants which some notable
factors considered but not included in the
existing data ,
comparative study of
the extent of soil contamination can come in
different historical
time periods ,
which can explain the changing pattern of
geological environment of
the city .
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Contents
1. Introduction .......................
..................................................
.................................. 3
1.1What is
urban pollution of heavy metals in
surface?........................................ 3
1.2
Introduction of heavy metals .....................
..................................................
... 3
1.3 Restatement of Problem ............
..................................................
.................... 3
2.
Assumptions and Parameters .......................
..................................................
....... 4
2.1 Assumptions .......................
..................................................
.......................... 4
2.2 Parameters
..................................................
..................................................
.. 4
3. Analysis and
Solutions ........................................
..................................................
5
3.1 heavy metals in the main space of
the city's distribution
................................ 5
3.2 Analysis of
the degree of contamination of heavy metals
..............................10
3.3 Analysis of
the main types of heavy metal
pollution......................................12
3.3.1Analysis of the main
causes of heavy metal
pollution..............................13
3.3.2 Propagation
characteristics of heavy metal
pollutants.............................14
3.4
Determine the location of heavy metal pollution...
........................................ 14
4. Conclusions ........................
..................................................
................................18
5. Evaluations of solutions ...........
..................................................
..........................19
5.1 Strengths .............
..................................................
.........................................19
5.2 Weaknesses
..................................................
..................................................
19
6. References ......................
..................................................
...................................19
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1. Introduction
1.1 What is urban pollution of heavy
metals in surface?
Distribution
and
urban
pollution
of
heavy
metals
in
surface
features
city
more
closely
associated
with
the
soil
surface
in
different
functional
areas
have
different
levels of heavy metal contamination.
Through the integration of the information given
and processing, and combined with our
access to the relevant information necessary
to introduce some evaluation
indicators.
in order to establish an
appropriate mathematical model to analyze the
degree of
pollution and heavy metal
contamination of heavy metals in different areas
within the
city's
main
reasons.
Through
the
establishment
of
the
model
and
the
modified
regression model to determine the
location of the sources, and the model was further
optimized.
1.2 Introduction
of heavy metals
Table 1.
Introduction of heavy metals
Elements
Antimony
Arsenic
Barium
Cadmium
< br>Lead
Mercury
Introduction
p>
a semimetallic chemical element which can
exist in two forms: the metallic form is
bright, silvery, hard and
brittle.
It can exist in various
allotropes, although only the gray form has
important use
in industry.
It
is the fifth element in Group 2, a soft silvery
metallic alkaline earth metal.
It occurs
as a minor component in most zinc ores and
therefore is a byproduct of
zinc
production.
It is a soft and malleable
metal, which is regarded as a heavy metal and poor
metal.
It is a heavy,
silvery-white metal
1.3
Restatement of Problem
With
the rapid development of urban economy and the
growing urban population,
human
activities
affect
the
quality
of
the
urban
environment
become
increasingly
prominent. Soil
anomalies verified geological environment of the
city, as well as how
to
apply
the
verification
of
the
data
obtained
to
carry
out
massive
urban
environmental
quality
evaluation,
research
evolved
under
the
influence
of
human
activity patterns of
urban geological environment is increasingly
becoming the focus
of attention.
Divided according to function, the city
can be divided into living areas, industrial
zones, mountains, trunk roads and
parks, green areas and other areas, denoted as
Class
1,
Class
2
District, ......
5
class
district,
by
different
regional
environment
varying
degrees of influence
of human activities.
1)
Given eight kinds of heavy metals in
the main space of the city, and to analyze
the extent of contamination within the
different areas of the city of heavy metals.
2)
through data analysis,
mainly due to heavy metal contamination
explanation.
3)
analysis
of
propagation
characteristics
of
heavy
metal
pollutants,
thereby
establishing a model to determine the
location of sources.
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4)
analysis
of
the
advantages
and
disadvantages
that
you
build
the
model,
in
order
to better study the geological evolution model of
urban environment, but also
what
information is collected? With this information,
how to build the model to solve
the
problem?
2. Assumptions and Parameters
2.1 Assumptions
We make a series of reasonable
assumptions in this paper, which are applied in
the
construction process of the
optimization model. Our assumptions are listed as
follow.
1) In the
content of heavy metals in the sampling process is
relatively stable.
2) In the
recorded data are authentic and no error log on.
3) In the distribution of
heavy metals in various regions are not mutated,
pollution
emissions remain unchanged.
4) Ignore accidental factors affecting
the spread and distribution of heavy metals.
Additional assumptions are
made to simplify analysis for individual sections.
These
assumptions will be discussed at
the appropriate locations.
2.2
Parameters
S
ij
the
i
th functional
areas in the j sample standard deviation of heavy
metal species
E
ij
the
i
th functional areas in the
j mean kind of heavy metal samples
ij
the
i
th
functional areas of the first heavy metal species
of the j sample
dispersion coefficient
i
number of
c
ity
’
s functional
areas
j
No. of the heavy metals
C
ij
the
i
th
functional areas in the j heavy metal
concentrations
C
max
the
i
t
h functional
areas in the j of maximum concentrations of heavy
metals
C
min
the
i
th
functional areas in the j of minimum concentration
of heavy metals
n
ij
the
i
th
functional areas of heavy metals in the j number
of samples
E
'
Mean corrected
sample
Pi
Pollution index of heavy metals in the
soil
B
j
J-value evaluation criteria
of heavy metals
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PI
Each of heavy metal pollution index for
each sampling point
3. Analysis and
Solutions
3.1 heavy metals
in the main space of the city's distribution
Data processing: the Annex
I and Annex II of the data by number merge, get a
new set
of data and process it. Keeping
x, y coordinates unchanged, respectively,
altitude, and
various
concentrations
of
heavy
metals
in
z
coordinates,
using
MATLAB
software
made by a three-
dimensional interpolation method is shown below in
Figure 1
to
Figure 10
:
Figure 1.
Low-lying three-
dimensional map
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Figure 2.
concentration of As of the three-
dimensional map
Figure 3.
concentration of Cd of the three-
dimensional map
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Figure 4.
concentration of Cr of the three-
dimensional map
Figure 5.
concentration of Cu of the three-
dimensional map
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Figure 6.
concentration of Hg of the three-
dimensional map
Figure 7.
concentration of Ni of the three-
dimensional map
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Figure 8.
concentration of Pb of the three-
dimensional map
Figure 9.
concentration of Zn of the three-
dimensional map
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Figure 10.
Ribbon location
of sampling points scattergram
Scatter
these various heavy metals were analyzed
concentrations and location of
sampling
points and the sampling point where the ribbon,
you can get the following
conclusions:
eight
kinds
of
heavy
metals
in
the
major
urban
areas
mainly
in
the
industrial area, and
living areas.
3.2 Analysis of the
degree of contamination of heavy metals
The above table merged further
processed by calculating the mean of the various
functional
areas
of
various
types
of
heavy
metal
concentration,
standard
deviation,
and the
introduction of the dispersion
coefficient
:
Dispersion
coeffi
cien
t
ij
Sample
standard
deviatio
n
S
ij
Sample
mean
E
ij
(
i
1
,
2
,
,
5
j
1
,
2
,<
/p>
,
8
)
Analysis
shows
that
some
of
the
data
dispersion
coefficient
is
too
large,
so
in
order
to
increase
the
reliability
of
data,
the
concentration
of
heavy
metals
that
the
various
functional
areas
of
data
excluding
the
maximum
and
minimum
values,
respectively, the mean is calculated,
the following model:
C
E
'
ij
C
max
C
min
n
ij
2