CN104019753A - Method for inverting urban atmospheric aerosol optical depth on basis of MODIS data - Google Patents
Method for inverting urban atmospheric aerosol optical depth on basis of MODIS data Download PDFInfo
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- CN104019753A CN104019753A CN201410279448.1A CN201410279448A CN104019753A CN 104019753 A CN104019753 A CN 104019753A CN 201410279448 A CN201410279448 A CN 201410279448A CN 104019753 A CN104019753 A CN 104019753A
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Abstract
The invention discloses a method for inverting the urban atmospheric aerosol optical depth on the basis of MODIS data. The method includes the steps (1), a mathematical model is established according to a 6S atmospheric radiation transmission equation, the volume ratio concentration of four basic aerosols including the dust aerosol, the water-soluble aerosol, the maritime aerosol and the soot aerosol is calculated, and customized aerosol types are obtained; (2), according to the relation among the surface reflectance of a 2.1-micrometer channel, the surface reflectance of a red channel and the surface reflectance of a blue channel in the MODIS data, an estimated value of the surface reflectance of the red channel and an estimated value of the surface reflectance of the blue channel are obtained; (3), an aerosol optical depth lookup table of the red channel and an aerosol optical depth lookup table of the blue channel are built respectively according to the 6S atmospheric radiation transmission equation and the aerosol types in the step (1); (4) spline interpolation is carried out on data in the lookup tables three times, the aerosol optical depth under the appointed surface reflectance is obtained, and inversion of the atmospheric aerosol optical depth is finished. The method for inverting the urban atmospheric aerosol optical depth is easy to implement, high in inversion accuracy and capable of being effectively used for urban aerosol monitoring.
Description
Technical field
The present invention relates to the aerosol properties research in atmospheric remote sensing field, especially relate to a kind of method based on MODIS data inversion urban atmosphere aerosol optical depth.
Background technology
In recent years, due to human factor impacts such as the havocs of Pollution of City Traffic, urban construction, the discharge of surrounding area industrial gasses and nature ecologic environment, urban air-quality is greatly affected, and air pollution is serious.For reducing the impact of pollution source, the monitoring of city atmospheric environment quality is become to particularly important, particulate is paid close attention to widely and is studied because of its vital role in atmospheric surveillance.Atmospheric aerosol is made up of the material of different phase, although content is little, but it can be by absorbing and diffuse transmission influence solar radiation, and then the radiation budget balance of impact ground-gas system, the many physical and chemical processes that occur in atmosphere are had to material impact, and therefore it is the important factor in Climate change simulation and environmental remote sensing.
Aerosol optical depth is one of most important parameter of gasoloid, is the important physical amount that characterizes atmospheric turbidity.Survey aerosol optical depth and can adopt ground based detection method and satellite remote sensing method.Ground based detection can be measured gasoloid information more exactly, but data in the just spatial point of obtaining can not reflect large region gasoloid spatial and temporal distributions.Remote sensing technology has the features such as area coverage is wide, acquisition of information is convenient, fast, can obtain more efficiently atmospheric aerosol information with respect to ground observation.The high resolution ratio satellite remote-sensing Data Inversion aerosol optical depth of the MODIS sensor observation of carrying on the current Terra/Aqua of utilization satellite can overcome the deficiency of ground based detection, and the gasoloid variation of understanding in real time in large regional extent for people provides possibility.
Many scholars did correlative study for this problem of satellite remote sensing inverting aerosol optical depth.For example Chinese patent bulletin CN 102636143A (date of declaration: on August 15th, 2012) discloses a kind of aerosol optical depth remote sensing inversion method.The method is extracted the pure pixel in remote sensing images according to pure pixel index, generates pure pixel mask, and then determines pure pixel Reflectivity for Growing Season, is finally aerosol optical depth according to look-up table by the radiance inverting of remote sensing observations.Although the method is not affected by mixed pixel, can be effectively for the aerosol monitoring in city, but it selects the set aerosol type in 6S atmospheric radiation transmission, whole earth atmospheric aerosol is only divided into sand and dust and city property is obviously very coarse.
Summary of the invention
The object of the present invention is to provide a kind of method of the inverting urban atmosphere aerosol optical depth based on MODIS data, determine optimal atmospheric aerosol type by setting up mathematical model, set up the look-up table of aerosol optical depth by 6S atmospheric radiation transmission, and by the cubic spline interpolation of data in look-up table is drawn to inversion result.
For achieving the above object, the present invention adopts following steps:
1) according to 6S atmosphere radiation transmission equation, set up the volume by volume concentration of four kinds of basic gasoloid sand and dust of calculated with mathematical model, water-soluble, maritime and coal smoke, obtain self-defining aerosol type.Be specially, making sand and dust gasoloid volume specific concentration is v
1, water-soluble gasoloid volume specific concentration is v
2, maritime gasoloid volume specific concentration is v
3, coal smoke gasoloid volume specific concentration is v
4, wherein v
4=1-(v
1+ v
2+ v
3); According to the feature for the treatment of inverting city, determine respectively v
1, v
2, v
3, v
4critical value, establish v
1minimum value be v
1min, v
1maximal value be v
1max, v
2minimum value be v
2min, v
2maximal value be v
2max, v
3minimum value be v
3min, v
3maximal value be v
3max; The apparent reflectance of MODIS data Satellite observation is lower at 1 wave band (660nm) is ρ
0, by v
1from v
1minto v
1maxincrease progressively iteration, by v
2from v
2minto v
2maxincrease progressively iteration, by v
3from v
3minto v
3maxincrease progressively iteration, and according to v
4expression formula obtain v
4value, by each group v
1, v
2, v
3, v
4value bring 6S atmosphere radiation transmission equation into and calculate respectively the satellite reflection rate ρ under 660nm
1, calculate ρ
0with ρ
1difference square, these data represent with ε, by ε and corresponding v
1, v
2, v
3, v
4value all record; Work as v
1, v
2, v
3all reach 1 o'clock iteration complete.From all data of record, take out 2,000,000 groups of data of ε minimum, get this 2,000,000 groups of v that data are corresponding
1average as sand and dust aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
2average as water-soluble aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
3average as maritime aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
4average as coal smoke aerosol volume concentrations in self-defining aerosol type.
2), according to the relation of the Reflectivity for Growing Season of the Reflectivity for Growing Season of 2.1 μ m passages in MODIS data and red, blue channel, draw the estimated value of the Reflectivity for Growing Season of red, blue channel.
3), according to 6S atmosphere radiation transmission equation, the aerosol type in integrating step 1, sets up respectively under red passage aerosol optical depth look-up table under aerosol optical depth look-up table and blue channel; Concrete, in look-up table, iteration aerosol optical depth from 0.00 to 2.50, iteration Reflectivity for Growing Season from 0.00 to 0.10.
4) data in look-up table are carried out to cubic spline interpolation, draw the aerosol optical depth of specifying under Reflectivity for Growing Season, complete Determination of Aerosol Optical inverting.
Described step 1) middle v
1, v
2, v
3the step-length that increases progressively iteration is 0.001.
Described step 1) in calculate the satellite reflection rate ρ under 660nm by 6S atmosphere radiation transmission equation
1time, in equation, aerosol optical depth is taken as the aerosol optical depth of heliograph observation.
Described step 3) in two look-up tables building, the iteration step length of aerosol optical depth is 0.05, the iteration step length of Reflectivity for Growing Season is 0.01.
Urban atmosphere aerosol optical depth inversion method of the present invention is easy to realize, and inversion accuracy is high, can be effectively for city aerosol monitoring.
Brief description of the drawings
Fig. 1 is workflow schematic diagram of the present invention.
Fig. 2 is the comparison diagram that adopts the measurement result of operating result that the MODIS L1B data in In Hangzhou Region of Zhe Jiang Province in October, 2013 operate method of the present invention and station, Hangzhou heliograph.
Embodiment
As shown in Figure 1, the present invention comprises following steps:
1) according to 6S atmosphere radiation transmission equation, set up the volume by volume concentration of four kinds of basic gasoloid sand and dust of calculated with mathematical model, water-soluble, maritime and coal smoke, obtain self-defining aerosol type.Be specially, making sand and dust gasoloid volume specific concentration is v
1, water-soluble gasoloid volume specific concentration is v
2, maritime gasoloid volume specific concentration is v
3, coal smoke gasoloid volume specific concentration is v
4, wherein v
4=1-(v
1+ v
2+ v
3); According to the feature for the treatment of inverting city, determine respectively v
1, v
2, v
3, v
4critical value, establish v
1minimum value be v
1min, v
1maximal value be v
1max, v
2minimum value be v
2min, v
2maximal value be v
2max, v
3minimum value be v
3min, v
3maximal value be v
3max; The apparent reflectance of MODIS data Satellite observation is lower at 1 wave band (660nm) is ρ
0, by v
1from v
1minto v
1maxincrease progressively iteration, by v
2from v
2minto v
2maxincrease progressively iteration, by v
3from v
3minto v
3maxincrease progressively iteration, and according to v
4expression formula obtain v
4value, by each group v
1, v
2, v
3, v
4value bring 6S atmosphere radiation transmission equation into and calculate respectively the satellite reflection rate ρ under 660nm
1, calculate ρ
0with ρ
1difference square, these data represent with ε, by ε and corresponding v
1, v
2, v
3, v
4value all record; Work as v
1, v
2, v
3all reach 1 o'clock iteration complete.From all data of record, take out 2,000,000 groups of data of ε minimum, get this 2,000,000 groups of v that data are corresponding
1average as sand and dust aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
2average as water-soluble aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
3average as maritime aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
4average as coal smoke aerosol volume concentrations in self-defining aerosol type.
2), according to the relation of the Reflectivity for Growing Season of the Reflectivity for Growing Season of 2.1 μ m passages in MODIS data and red, blue channel, draw the estimated value of the Reflectivity for Growing Season of red, blue channel.
3), according to 6S atmosphere radiation transmission equation, the aerosol type in integrating step 1, sets up respectively under red passage aerosol optical depth look-up table under aerosol optical depth look-up table and blue channel; Concrete, in look-up table, iteration aerosol optical depth from 0.00 to 2.50, iteration Reflectivity for Growing Season from 0.00 to 0.10.
4) data in look-up table are carried out to cubic spline interpolation, draw the aerosol optical depth of specifying under Reflectivity for Growing Season, complete Determination of Aerosol Optical inverting.
Described step 1) middle v
1, v
2, v
3the step-length that increases progressively iteration is 0.001.
Described step 1) in calculate the satellite reflection rate ρ under 660nm by 6S atmosphere radiation transmission equation
1time, in equation, aerosol optical depth is taken as the aerosol optical depth of heliograph observation.
Described step 3) in two look-up tables building, the iteration step length of aerosol optical depth is 0.05, the iteration step length of Reflectivity for Growing Season is 0.01.
Step 2 of the present invention) in shown in the following formula of relation of the Reflectivity for Growing Season of MODIS data 2.1 μ m passages and the Reflectivity for Growing Season of red, blue channel:
ρ
blue＝ρ
2.1/4，ρ
red＝ρ
2.1/2 (1)
Above in formula (1), ρ
bluerepresent Reflectivity for Growing Season under blue channel, ρ
redrepresent Reflectivity for Growing Season under red passage, ρ
2.1represent the Reflectivity for Growing Season of 2.1 μ m passages.
Step 4 of the present invention) in the data in look-up table are carried out to cubic spline interpolation, taking Reflectivity for Growing Season as independent variable, optical thickness is that the function of Reflectivity for Growing Season is example, concrete Interpolation Process is for as follows: make the data point of Reflectivity for Growing Season in look-up table have n, the Reflectivity for Growing Season value of i data point is x
i, corresponding optical thickness is y
i, the S for interpolating function (x) of this cubic spline interpolation represents.According to interpolation theory, S (x) need meet following several condition:
1) interpolation condition, i.e. S (x
i)=y
i, i=1,2,3..., n (2)
2) condition of continuity,
3) the first order derivative condition of continuity,
4) the second derivative condition of continuity,
5) natural boundary conditions, i.e. S " (x
1)=0, S " (x
n)=0 (6)
In formula above, S (x
i) represent that interpolating function is at x
ithe functional value at place, S ' (x) represents the first order derivative of interpolating function, S ' (x
i) represent interpolating function first order derivative at x
ithe functional value at place, S " (x) represents the second derivative of interpolating function, S " (x
i) represent interpolating function second derivative at x
ithe functional value at place, S " (x
1) and S " (x
n) represent respectively interpolating function second derivative at x
1place and x
nthe functional value at place, lim is the limit symbol in mathematics,
represent that x infinitely approaches x
itime.
Formula (2)～(6) above simultaneous, form altogether 4n equation, S (x) belongs to the piecewise function that has n section, in each section, it is a cubic polynomial, total 4n unknowm coefficient, therefore can solve whole unknown numbers by this 4n equation, complete the cubic spline interpolation of data point.
Embodiments of the invention:
The present invention carries out aerosol optical depth inverting using the MODIS L1B data between In Hangzhou Region of Zhe Jiang Province October 1～30 days October in 2013 in 2013 as embodiment data.As shown in Figure 2, the result that the inventive method obtains has higher inversion accuracy.
Above-mentioned embodiment is used for the present invention that explains, instead of limits the invention, and in the protection domain of spirit of the present invention and claim, any amendment and change that the present invention is made, all fall into protection scope of the present invention.
Claims (4)
1. the method based on MODIS data inversion urban atmosphere aerosol optical depth, is characterized in that comprising following steps:
1) according to 6S atmosphere radiation transmission equation, set up the volume by volume concentration of four kinds of basic gasoloid sand and dust of calculated with mathematical model, water-soluble, maritime and coal smoke, obtain self-defining aerosol type.Be specially, making sand and dust gasoloid volume specific concentration is v
1, water-soluble gasoloid volume specific concentration is v
2, maritime gasoloid volume specific concentration is v
3, coal smoke gasoloid volume specific concentration is v
4, wherein v
4=1-(v
1+ v
2+ v
3); According to the feature for the treatment of inverting city, determine respectively v
1, v
2, v
3, v
4critical value, establish v
1minimum value be v
1min, v
1maximal value be v
1max, v
2minimum value be v
2min, v
2maximal value be v
2max, v
3minimum value be v
3min, v
3maximal value be v
3max; The apparent reflectance of MODIS data Satellite observation is lower at 1 wave band (660nm) is ρ
0, by v
1from v
1minto v
1maxincrease progressively iteration, by v
2from v
2minto v
2maxincrease progressively iteration, by v
3from v
3minto v
3maxincrease progressively iteration, and according to v
4expression formula obtain v
4value, by each group v
1, v
2, v
3, v
4value bring 6S atmosphere radiation transmission equation into and calculate respectively the satellite reflection rate ρ under 660nm
1, calculate ρ
0with ρ
1difference square, these data represent with ε, by ε and corresponding v
1, v
2, v
3, v
4value all record; Work as v
1, v
2, v
3all reach 1 o'clock iteration complete.From all data of record, take out 2,000,000 groups of data of ε minimum, get this 2,000,000 groups of v that data are corresponding
1average as sand and dust aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
2average as water-soluble aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
3average as maritime aerosol volume concentrations in self-defining aerosol type; Get this 2,000,000 groups of v that data are corresponding
4average as coal smoke aerosol volume concentrations in self-defining aerosol type.
2), according to the relation of the Reflectivity for Growing Season of the Reflectivity for Growing Season of 2.1 μ m passages in MODIS data and red, blue channel, draw the estimated value of the Reflectivity for Growing Season of red, blue channel.
3), according to 6S atmosphere radiation transmission equation, the aerosol type in integrating step 1, sets up respectively under red passage aerosol optical depth look-up table under aerosol optical depth look-up table and blue channel; Concrete, in look-up table, iteration aerosol optical depth from 0.00 to 2.50, iteration Reflectivity for Growing Season from 0.00 to 0.10.
4) data in look-up table are carried out to cubic spline interpolation, draw the aerosol optical depth of specifying under Reflectivity for Growing Season, complete Determination of Aerosol Optical inverting.
2. a kind of method based on MODIS data inversion urban atmosphere aerosol optical depth according to claim 1, is characterized in that: described step 1) middle v
1, v
2, v
3the step-length that increases progressively iteration is 0.001.
3. a kind of method based on MODIS data inversion urban atmosphere aerosol optical depth according to claim 1, is characterized in that: described step 1) in calculate the satellite reflection rate ρ under 660nm by 6S atmosphere radiation transmission equation
1time, in equation, aerosol optical depth is taken as the aerosol optical depth of heliograph observation.
4. according to a kind of method based on MODIS data inversion urban atmosphere aerosol optical depth described in claims 1, it is characterized in that: described step 3) in two look-up tables building, the iteration step length of aerosol optical depth is 0.05, and the iteration step length of Reflectivity for Growing Season is 0.01.
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| CN106933776B (en) * | 2017-03-02 | 2019-07-26 | 宁波大学 | A kind of method of MODIS AOD product missing data reparation |
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| CN110186822B (en) * | 2019-05-13 | 2020-09-11 | 中国科学院遥感与数字地球研究所 | Aerosol optical thickness remote sensing inversion method |
| CN110186822A (en) * | 2019-05-13 | 2019-08-30 | 中国科学院遥感与数字地球研究所 | A kind of aerosol optical depth remote sensing inversion method |
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| CN113466917B (en) * | 2020-03-31 | 2023-12-15 | 中国矿业大学(北京) | Forced calculation method for soot type aerosol radiation |
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| CN113534203A (en) * | 2021-07-12 | 2021-10-22 | 长光卫星技术有限公司 | On-orbit cross radiation calibration method based on AERONET aerosol data |
| CN113534203B (en) * | 2021-07-12 | 2022-08-23 | 长光卫星技术股份有限公司 | On-orbit cross-radiation calibration method based on AERONET aerosol data |
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