2011 Mathematical Modeling Problem A Analysis of Heavy Metal Pollution in Urban Surface Soil The sol

Child, you have to sign a pledge at the end.

I'm busy doing modeling, and I'll come back to it in detail when I'm done

The competition committee has locked your IP, please do not make such a move again, otherwise you will be disqualified from the competition.

Question 1: MATLAB drawing.

Question 2: Factor Analysis.

There are several copies of this, I don't know if it will help.

You're a stupid x... Who did it to pass it on to you ...

It's so easy! The first two questions are instantly killed! It's not going back to modeling!

You're from that school, be careful brother report you, look at who gave you a film in such a short period of time**1

You're ,,, too fast.

Using fitting, a four-dimensional model is established, which not only considers the plane coordinates, but also the altitude and heavy metal pollution content!! That's all I have to offer, and I'm still a work in progress.

I also want to use the four-dimensional model to do the third question, how are you doing, can you give some ideas??

The main characteristics of heavy metal pollution: wide range of pollution, long duration, concealment of pollution, can not be biodegradable, and may continue to accumulate in organisms through the food chain, and even can be converted into more toxic methyl compounds, poisoning some organisms in the food chain, or eventually accumulating in the human body and endangering health.

Treatment methods and characteristics: including engineering treatment, biological treatment, chemical treatment and agricultural treatment methods. The treatment effect of the project is thorough and stable, but the implementation is complex, the treatment cost is high, and it is easy to cause the decline of soil fertility. The implementation of biological treatment is simple, the investment is small, and the damage to the environment is small, but the treatment effect is not ideal. The treatment effect and cost of chemical methods are moderate, but they are easy to reactivate. The agricultural governance method is easy to operate and low cost, but the cycle is long and the effect is not significant.

In summary, according to the characteristics of different pollution projects and the treatment effect, cycle and funding requirements, the most appropriate treatment method should be selected. Chemical stabilization treatment methods often have the problem of not ensuring the long-term stability of the treatment effect, but the molecular bond repair technology that has attracted more attention at present can solve this problem well, and it will become a preferred treatment method integrating good treatment effect, low cost and short treatment cycle.

Observed average of 8 medium heavy metals:

8 Flat background values for heavy metals:

8 Flat Range Values for Heavy Metals:

1. Interpolation, with x, y as the coordinates, pollution amount as the function to establish the interpolation function, the second question 5 of the regional situation analysis can establish the standard of pollution degree per unit area.

2.To establish the relationship between pollution and the spatial position of each point, the xyz coordinates are considered at the same time3The intensity of the pollution source is infinite, and the pollution source function s should be established as a function of the distance r from the pollution source4, and the pollution value malab in the transition area between urban and non-urban areas should also be collected.

2011 National Mathematical Contest in Modeling for College Students.

Letter of Commitment.

We carefully read the rules of the Chinese Collegiate Mathematical Contest in Modeling.

We fully understand that after the start of the competition, the participants are not allowed to study or discuss issues related to the competition with anyone outside the team (including the instructor) in any way (including **, email, online consultation, etc.).

We know that it is against the rules of the competition to plagiarize someone else's work, and if you cite someone else's work or other publicly available information (including information found on the Internet), it must be clearly listed in the citation and references in accordance with the prescribed reference style.

We solemnly promise to strictly abide by the rules of the competition to ensure the fairness and fairness of the competition. Violations of the rules of the contest will be taken seriously.

Support originality, plagiarism is shameful! None of the modeling comrades can afford it! No one can afford to mess with them!

It's a pity why I didn't write the answer.

I'm also participating in a math contest and thinking about it, hehe.

You can create mathematical equations, and specific mathematical algorithms can be sent to your mailbox. Don't leak it!!

Give me three days, okay?

Oh my God, we do.

I made it and shared it.

The first question can be found by three-dimensional fitting, but the sub-regional situation is not easy to do, I don't know what to do?

I also picked A: In a city, does altitude have anything to do with heavy metal pollution?

Seeing all kinds of hard-pressed children across the country who are ravaged by modeling o(> o

The first question is to use 3D fitting, find the approximate steps!! Thank you.

Use discrete random variables to solve problems.

I chose this question as well!! I know where to start.

Playing soy sauce is just a bit of an idea.

I'll tell you in three days ...

A lot of people who choose question A are discussed.

Please give me 45 hours, thanks.

2011 Higher Education Society Cup National College Students Mathematical Contest in Modeling.

Please read the "National Collegiate Mathematical Contest in Modeling** Format Specification").

Question A: Analysis of heavy metal pollution in urban surface soil.

With the rapid development of urban economy and the continuous increase of urban population, the impact of human activities on urban environmental quality has become increasingly prominent. The investigation of anomalies in the urban soil geological environment, how to use the massive data obtained from the verification to carry out the evaluation of urban environmental quality, and how to study the evolution mode of urban geological environment under the influence of human activities have become the focus of people's attention.

According to the functional division, urban areas can generally be divided into living areas, industrial areas, mountainous areas, trunk road areas and park green areas, etc., which are recorded as Class 1 areas and Class 2 areas respectively、......There are 5 types of areas, and the environment of different regions is affected by human activities to different degrees.

The soil geological environment of a city is investigated. To this end, the urban area was divided into grid sub-areas with a spacing of about 1 km, and the topsoil (0 10 cm depth) was sampled and numbered according to one sampling point per square kilometer, and the location of the sampling points was recorded by GPS. Specialized instrumental testing and analysis were used to obtain concentration data for a variety of chemical elements contained in each sample.

On the other hand, samples were taken at a distance of 2 km in natural areas away from people and industrial activities as background values for elements in the surface soil of the urban area.

Annex 1 lists the location, altitude and functional area of the sampling points, Annex 2 lists the concentrations of 8 major heavy metal elements at the sampling points, and Annex 3 lists the background values of 8 major heavy metal elements.

You are now asked to complete the following tasks through mathematical modeling:

1) The spatial distribution of eight major heavy metal elements in the urban area was given, and the pollution degree of heavy metals in different areas of the urban area was analyzed.

2) Explain the main causes of heavy metal pollution through data analysis.

3) Analyze the propagation characteristics of heavy metal pollutants to establish a model and determine the location of pollution sources.

4) Analyze the strengths and weaknesses of your model, and what other information should be gathered to better study the evolution patterns of the urban geological environment? With this information, how do you build a model to solve the problem?