数学建模英文论文模板

余年寄山水
861次浏览
2021年02月11日 00:01
最佳经验
本文由作者推荐

-

2021年2月11日发(作者:空梦长安)










































































Page


1


of 20



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 .


















































































Page


2


of 20



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













































































Page


3


of 20



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


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.











































































Page


4


of 20



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











































































Page


5


of 20



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












































































Page


6


of 20




Figure 2.


concentration of As of the three- dimensional map



Figure 3.


concentration of Cd of the three- dimensional map











































































Page


7


of 20




Figure 4.


concentration of Cr of the three- dimensional map



Figure 5.


concentration of Cu of the three- dimensional map











































































Page


8


of 20




Figure 6.


concentration of Hg of the three- dimensional map



Figure 7.


concentration of Ni of the three- dimensional map











































































Page


9


of 20




Figure 8.


concentration of Pb of the three- dimensional map



Figure 9.


concentration of Zn of the three- dimensional map










































































Page


10




of


20





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

< p>



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

< p>


E


'



ij



C


max



C


min


n


ij



2





-


-


-


-


-


-


-


-