Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a real-time high-precision global multi-dimensional troposphere zenith delay grid model construction method.
The invention is realized in such a way that a real-time high-precision global multi-dimensional troposphere zenith delay grid model construction method comprises the following steps:
dividing the global into regular windows with the same size based on a sliding window algorithm, constructing a global ZTD vertical section grid model taking account of the fine seasonal variation of a ZTD elevation scaling factor by utilizing ERA5 data, fusing high-precision and high-space-time-resolution troposphere zenith delay ZTD information of a mesoscale weather forecast center, a global geodetic observation system atmospheric center, an IGS center and an urban CORS network platform, and constructing a global ZTD model taking account of the elevation, the latitude and the seasonal variation of each window in the global;
and taking the constructed parameters of the global window ZTD model as the parameters of the geometric center of each window, storing the parameters in a grid point form, constructing a global grid under a new resolution according to a sliding window algorithm, and constructing a real-time high-precision global multidimensional ZTD grid model.
The method specifically comprises the following steps:
acquiring the latest ERA5 data provided by an ECMWF center, grid ZTD data provided by a GGOS atmosphere center and the corresponding grid surface elevation, ZTD products provided by an IGS center and GNSS data provided by a CORS network as data sources, and performing corresponding data processing;
step two, dividing the global into a regular window of 5 degrees multiplied by 4 degrees based on a sliding window algorithm, and calculating ZTD information of each ERA5 grid point on different isostatic pressing layers in the global by utilizing the extracted global ERA5 grid point layered meteorological data with the annual planar resolution of 1 degree multiplied by 1 degree and corresponding surface meteorological data;
expressing a global ZTD vertical section function model of each window by using a negative index function, and estimating coefficients of the ZTD vertical section model of each window in the world, namely 5 coefficients of beta factors, by using ZTD section information of 30 ERA5 lattice points in each window with the resolution of 1 hour for many years according to each window in the world through a least square method;
step four, storing the obtained 5 coefficients of the beta factor of each window of the globe in a grid form with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude), and obtaining a ZTD vertical section grid model with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude) and taking account of the fine seasonal change of the ZTD elevation scaling factor;
step five, resampling different time resolution ZTD values which are precisely extracted from GNSS reference stations, namely IGS station 5min ZTD products and CO RS network GNSS station 1h ZTD data contained in each window of the world to obtain a ZTD value which has the same time resolution as GGOS grid ZTD, namely 6 h;
step six, performing elevation reduction on the GGOS grid ZTD product and the GNSS reference station ZTD data, and correcting the GGOS grid ZTD product and the GNSS reference station ZTD data to average elevation H in respective windows of the whole world0At least one of (1) and (b);
step seven, projecting multisource ZTD values with 6h resolution in each window of the world to the average elevation position of each window, and constructing a ZTD time sequence model of the internal view, elevation, latitude and fine seasonal change of each window of the world based on the fused multisource ZTD data;
and step eight, taking the multidimensional ZTD model parameters at the average height of each window in the world as the parameters of the geometric center of each window, storing the parameters in a grid point form, constructing a new global grid with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude) according to a sliding window algorithm, and constructing a real-time high-precision global multidimensional ZTD grid model suitable for any height.
Further, in the first step, the data source and the data processing method include:
the latest ERA5 data is the grid point hierarchical data and the surface data of the global ERA5 data with the multi-year horizontal resolution of 1 degree multiplied by 1 degree; each grid point is 37 layers of data; the layered data comprises air pressure, potential height, specific humidity and temperature data; the earth surface data comprise earth surface air pressure, earth surface temperature, earth surface specific humidity data and corresponding earth surface elevation;
aiming at GNSS reference station data provided by a CORS network, ZTD information of each GNSS reference station with resolution better than 1h is calculated by Bernese high-precision GNSS processing software.
Further, in step two, the rule window includes:
a total of 3240 windows; each window contains 30 ERA5 data grid dots of 1 ° × 1 ° planar resolution.
Further, in the second step, the ZTD information calculation formula includes:
wherein N represents the total refractive index of the atmosphere, P represents the atmospheric pressure (hPa), e represents the vapor pressure (hPa), Q represents the specific humidity, T represents the temperature, H represents the elevation, H _ low represents the bottommost height integrated by the ERA5 reanalysis data, H _ top represents the topmost height integrated by the ERA5 reanalysis data, k represents the total refractive index of the atmosphere, P represents the atmospheric pressure (hPa), e represents the vapor pressure (hPa), Q represents the specific humidity, T represents the temperature, H represents the elevation1=77.604K/Pa、k264.79K/Pa and K3=375463K2the/hPa is a constant coefficient; n is a radical ofiAnd Δ HiRespectively representing the total atmospheric refractive index and the atmospheric thickness of the ith layer, and n represents the integral atmospheric layer number; ZHDSaasERA5 representing Saastamoinen model calculations reanalyzed residual ZHD values at the top of the data layer;
the ZHDSaasThe calculation formula is as follows:
in the formula (I), the compound is shown in the specification,
is the latitude of the survey station, and the unit is rad; h is elevation in km.
Further, in step three, the estimating, by a least square method, the ZTD vertical section model coefficients for each window around the world includes:
the ZTD vertical profile function for each window is as follows:
ZTDHu=ZTDHr*exp(-βi*(Hu-Hr));
in the formula, Hu and Hr are expressed as target elevation and reference elevation, ZTDHuAnd ZTDHrThe ZTD values at the target elevation and the reference elevation, respectively, β is the ZTD elevation scaling factor, i denotes the number of the window (i ═ 1,2,3, …, 3240);
β for each window around the world, which can be expressed as:
in the formula, A0Is the annual mean value of ZTD elevation scaling factor (A)1,A2) Represents the annual cycle amplitude coefficient of the ZTD elevation scaling factor, (A)3,A4) Represents the half-year-cycle amplitude coefficient of the ZTD elevation scaling factor.
Further, in step six, the correcting the GGOS grid ZTD product and GNSS reference station ZTD data to average elevations within respective windows around the world comprises:
the average elevation of each window is the average elevation of the GGOS grid points in the window and the elevation of the GNSS reference station falling into the window;
the calculation formula of the average elevation of each window is as follows:
in the formula H
0The average elevation of the window is represented,
representing the elevation of the ith GGOS grid point within the window,
representing the elevation, n, of the kth GNSS station within the window
1Indicates the number of GGOS grid points in the window, n
2Representing the number of GNSS reference stations within the window.
Further, in the seventh step, the ZTD time sequence model expression for the consideration of elevation, latitude and fine seasonal change in each window of the world is as follows:
in the formula (I), the compound is shown in the specification,
representing the mean elevation of the window H
0A ZTD value of (a); ZTD
HA ZTD value representing H at surface height; Δ ZTD represents the ZTD correction projected from the surface height to the average elevation of the window, and can be calculated by the constructed ZTD vertical section function in the window; a is
0Is the ZTD annual mean at the window mean height;
representing the latitude; a is
1Representing a latitude correction factor; a is
2、a
3And a
4Respectively representing the amplitude of the ZTD year, half year and day periods at the window average height; phi is a
1、φ
2And phi
3Phase of ZTD year, half year and day periods at the window average height are respectively represented; doy is the product date of the year, and hod is UTC, all multi-source data in the window are utilized, and the least square method is adopted to solve the ZTD time sequence model parameters at the average elevation in each window all over the world.
Further, the real-time high-precision global multi-dimensional troposphere zenith delay grid model construction method further comprises the following steps:
searching and acquiring a multidimensional ZTD model parameter of a grid point at the geometric center of a window closest to a user side according to the approximate position information of the user side; calculating the average height of the window where the user terminal is located according to the obtained multidimensional ZTD model parameters
Then, using window ZTD vertical section grid model
The values are reduced to ZTD values at the user end height.
Another objective of the present invention is to provide a real-time high-precision global multi-dimensional troposphere zenith delay grid model construction system, which comprises:
the different isobaric layer ZTD information acquisition module is used for acquiring the latest ERA5 data provided by the ECMWF center, the grid ZTD data provided by the GGOS atmosphere center and the corresponding grid surface elevation, the ZTD product provided by the IGS center and the GNSS data provided by the CORS network as data sources and carrying out corresponding data processing;
dividing the global into a regular window of 5 degrees multiplied by 4 degrees based on a sliding window algorithm, and calculating ZTD information of each ERA5 lattice point on different isostatic pressing layers in the global by utilizing extracted global ERA5 lattice point hierarchical meteorological data with annual planar resolution of 1 degree multiplied by 1 degree and corresponding surface meteorological data;
the coefficient acquisition module of the ZTD vertical profile function expresses a ZTD vertical profile function model of each global window by using a negative index function, and for each global window, the coefficients of the ZTD vertical profile function of each global window, namely 5 coefficients of a beta factor, are estimated by using ZTD profile information of 30 ERA5 lattice points in the window with the resolution of 1 hour for many years through a least square method;
the ZTD vertical section grid model acquisition module is used for storing the obtained 5 coefficients of the beta factor of each window in the world in a grid form with the plane resolution of 5 degrees multiplied by 4 degrees to obtain a ZTD vertical section grid model with the plane resolution of 5 degrees multiplied by 4 degrees and taking the fine seasonal change of the ZTD elevation scaling factor into consideration;
the ZTD value acquisition module is used for resampling ZTD values with different time resolutions, which are precisely extracted from GNSS reference stations, namely an IGS station 5minZTD product and a CORS network GNSS station 1h ZTD data, contained in each window of the world, and acquiring the ZTD value with the same time resolution as that of a GGOS grid ZTD, namely 6 h;
the ZTD elevation reduction module is used for carrying out elevation reduction on the GGOS grid ZTD product and the GNSS reference station ZTD data and correcting the GGOS grid ZTD product and the GNSS reference station ZTD data to the average elevation H in the respective windows of the whole world0At least one of (1) and (b);
the ZTD time sequence model building module is used for projecting multisource ZTD values with 6h resolution in each window of the world to the average elevation position of each window, and building the ZTD time sequence model for considering elevation, latitude and fine seasonal change in each window of the world based on the fused data;
the real-time high-precision global multidimensional ZTD grid model acquisition module takes multidimensional ZTD model parameters at the average height of each window in the world as parameters of the geometric center of each window, stores the parameters in a grid point form, constructs a new global grid with the plane resolution of 5 degrees multiplied by 4 degrees according to a sliding window algorithm, and constructs a real-time high-precision global multidimensional ZTD grid model suitable for any height.
Another object of the present invention is to provide a program storage medium for receiving user input, the stored computer program causing an electronic device to execute the method for constructing a real-time high-precision global multi-dimensional troposphere zenith delay grid model, comprising: dividing the global into regular windows with the same size based on a sliding window algorithm, constructing a global ZTD vertical section grid model taking account of the fine seasonal variation of a ZTD elevation scaling factor by utilizing ERA5 data, fusing high-precision and high-space-time-resolution troposphere zenith delay ZTD information of a mesoscale weather forecast center, a global geodetic observation system atmospheric center, an IGS center and an urban CORS network platform, and constructing a global ZTD model taking account of the elevation, the latitude and the seasonal variation of each window in the global;
and taking the constructed parameters of the global window ZTD model as the parameters of the geometric center of each window, storing the parameters in a grid point form, constructing a global grid under a new resolution according to a sliding window algorithm, and constructing a real-time high-precision global multidimensional ZTD grid model.
It is another object of the present invention to provide a computer program product stored on a computer readable medium, comprising a computer readable program for providing a user input interface to implement the real-time high-precision global multi-dimensional tropospheric zenith delay mesh model construction method when executed on an electronic device.
The invention also utilizes a global troposphere delay model and common troposphere products to carry out global precision inspection and regional applicability evaluation on the real-time high-precision global multidimensional ZTD refinement model.
By combining all the technical schemes, the invention has the advantages and positive effects that:
the real-time high-precision global multidimensional ZTD grid model established by the invention realizes the fusion modeling of multi-source data and solves the defect of low spatial resolution of the ZTD vertical section model. The real-time high-precision global multidimensional ZTD grid model established by the invention can provide high-precision ZTD information at any global position in real time and can also be used for real-time high-precision ZTD elevation reduction. Compared with the current GPT2w model with the resolution of 1 degree multiplied by 1 degree and the optimal nominal precision, the model parameters of the real-time high-precision global multidimensional ZTD grid model established by the invention are reduced by about 43 times. In addition, as the constructed global multidimensional ZTD grid model fuses GNSS station ZTD data, the regional enhancement of the model can be embodied when the model is used in a region with GNSS stations. In a word, the real-time high-precision global multidimensional ZTD grid model established by the method well improves the calculation efficiency of the model and the practicability of the model.
The invention provides a method for constructing a real-time high-precision global multidimensional ZTD grid new model fusing multi-source data on the basis of dividing a global section into regular windows with consistent sizes based on a sliding window algorithm, fusing troposphere zenith delay (ZTD) information with high precision and high space-time resolution provided by platforms such as an European mesoscale weather forecast center (ECMWF), a global geodetic observation system Atmosphere center (GGOS Atmosphere), an IGS center, a city CORS grid and the like, and constructing a vertical section function model taking account of the fine seasonal change of ZTD elevation scaling factors of each global window.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Aiming at the problems in the prior art, the invention provides a real-time high-precision global multi-dimensional troposphere zenith delay grid model construction method, and the invention is described in detail below by combining the attached drawings.
As shown in fig. 1-2, a method for constructing a real-time high-precision global multi-dimensional troposphere zenith delay grid model according to an embodiment of the present invention includes:
s101, acquiring the latest ERA5 data provided by the ECMWF center, grid ZTD data provided by the GGOS atmosphere center and the grid surface elevation corresponding to the grid ZTD data, ZTD products provided by the IGS center and GNSS data provided by the CORS network as data sources, and performing corresponding data processing.
S102, dividing the global into a regular window of 5 degrees multiplied by 4 degrees based on a sliding window algorithm, and calculating ZTD information of each ERA5 grid point on different isobaric layers in the global by utilizing the extracted hierarchical meteorological data of the global ERA5 grid point with the annual plane resolution of 1 degree multiplied by 1 degree and the corresponding surface meteorological data.
S103, expressing a global ZTD vertical section function model of each window by using a negative index function, and estimating the ZTD vertical section model coefficients of each window, namely 5 coefficients of beta factors, of each window by using the ZTD section information of 30 ERA5 lattice points in each window with the resolution of 1 hour for many years according to each window in the world through a least square method.
And S104, storing the obtained 5 coefficients of each global window elevation scaling beta factor in a grid form with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude), and obtaining a ZTD vertical section grid model with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude) and considering the fine seasonal variation of the ZTD elevation scaling factor.
And S105, resampling different time resolution ZTD values obtained by precisely extracting 5min ZTD products of the GNSS reference station, namely the IGS station, and 1h ZTD data of the GNSS station of the CORS network in each window of the world, and obtaining the ZTD value with the same time resolution as that of the GGOS grid ZTD, namely 6 h.
S106, performing elevation reduction on the GGOS grid ZTD product and the GNSS reference station ZTD data, and correcting the GGOS grid ZTD product and the GNSS reference station ZTD data to average elevation H in respective windows of the whole world0To (3).
S107, projecting multisource ZTD values with 6h resolution in each window of the world to the average elevation of each window, and constructing a ZTD time sequence model of the global internal view, elevation, latitude and fine seasonal change based on the fused multisource ZTD data.
And S108, taking the multidimensional ZTD model parameters at the average height of each window in the world as the parameters of the geometric center of each window, storing the parameters in a grid point form, constructing a new global grid with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude) according to a sliding window algorithm, and constructing a real-time high-precision global multidimensional ZTD grid model suitable for any height.
In step S101, the data source and the data processing method provided in the embodiment of the present invention include:
the latest ERA5 data is the grid point hierarchical data and the surface data of the global ERA5 data with the multi-year horizontal resolution of 1 degree multiplied by 1 degree; each grid point is 37 layers of data; the layered data comprises air pressure, potential height, specific humidity and temperature data; the surface data comprises surface air pressure, surface temperature, surface specific humidity data and corresponding surface elevation.
Aiming at GNSS reference station data provided by a CORS network, ZTD information of each GNSS reference station with resolution better than 1h is calculated by Bernese high-precision GNSS processing software.
In step S102, 3240 rule windows provided by the embodiment of the present invention; each window contains 30 ERA5 data grid dots of 1 ° × 1 ° planar resolution.
In step S102, the ZTD information calculation formula provided in the embodiment of the present invention includes:
wherein N represents the total refractive index of the atmosphere, P represents the atmospheric pressure (hPa), e represents the vapor pressure (hPa), Q represents the specific humidity, T represents the temperature, H represents the elevation, H _ low represents the bottommost height integrated by the ERA5 reanalysis data, H _ top represents the topmost height integrated by the ERA5 reanalysis data, k represents the total refractive index of the atmosphere, P represents the atmospheric pressure (hPa), e represents the vapor pressure (hPa), Q represents the specific humidity, T represents the temperature, H represents the elevation1=77.604K/Pa、k264.79K/Pa and K3=375463K2the/hPa is a constant coefficient; n is a radical ofiAnd Δ HiRespectively representing the total atmospheric refractive index and the atmospheric thickness of the ith layer, and n represents the integral atmospheric layer number; ZHDSaasERA5, representing Saastamoinen model calculations, reanalyzed residual ZHD values at the top of the data layer.
The ZHDSaasThe calculation formula is as follows:
in the formula (I), the compound is shown in the specification,
is the latitude of the survey station, and the unit is rad; h is elevation in km.
In step S103, the estimating of the ZTD vertical section model coefficient of each global window by the least square method provided in the embodiment of the present invention includes:
the ZTD vertical profile function for each window is as follows:
ZTDHu=ZTDHr*exp(-βi*(Hu-Hr));
in the formula, Hu and Hr are expressed as target elevation and reference elevation, ZTDHuAnd ZTDHrThe ZTD values at the target elevation and the reference elevation, respectively, β is the ZTD elevation scaling factor, and i denotes the window number (i ═ 1,2,3, …, 3240).
β for each window around the world, which can be expressed as:
in the formula, A0Is the annual mean value of ZTD elevation scaling factor (A)1,A2) Represents the annual cycle amplitude coefficient of the ZTD elevation scaling factor, (A)3,A4) Represents the half-year-cycle amplitude coefficient of the ZTD elevation scaling factor.
In step S106, the correcting the GGOS grid ZTD product and the GNSS reference station ZTD data to the average elevation within each window in the world according to the embodiment of the present invention includes:
and the average elevation of each window is the average elevation of the GGOS grid points in the window and the elevation of the GNSS reference station falling into the window.
The calculation formula of the average elevation of each window is as follows:
in the formula H
0The average elevation of the window is represented,
representing the elevation of the ith GGOS grid point within the window,
representing the elevation, n, of the kth GNSS station within the window
1Indicates the number of GGOS grid points in the window, n
2Representing the number of GNSS reference stations within the window.
In step S107, the ZTD time series model expression for the internal view of each window in the world, the elevation, the latitude, and the fine seasonal variation provided in the embodiment of the present invention is as follows:
in the formula (I), the compound is shown in the specification,
representing the mean elevation of the window H
0A ZTD value of (a); ZTD
HA ZTD value representing H at surface height; Δ ZTD represents the ZTD correction projected from the surface height to the average elevation of the window, and can be calculated by the constructed ZTD vertical section function in the window; a is
0Is the ZTD annual mean at the window mean height;
representing the latitude; a is
1Representing a latitude correction factor; a is
2、a
3And a
4Respectively representing the amplitude of the ZTD year, half year and day periods at the window average height; phi is a
1、φ
2And phi
3Phase of ZTD year, half year and day periods at the window average height are respectively represented; doy is annual product date, hod is UTC, all multi-source data in the window are utilized, and the least square method is adopted to solve the ZTD time sequence model parameter at the average height in each window in the world.
The use method of the real-time high-precision global multi-dimensional troposphere zenith delay grid model provided by the embodiment of the invention comprises the following steps:
searching and acquiring a multidimensional ZTD model parameter of a grid point at the geometric center of a window closest to a user according to the approximate position information of the user; calculating the ZTD at the average height of the window where the user is located according to the obtained multidimensional ZTD model parametersH0Using window ZTD vertical section grid model to convert ZTD into three-dimensional grid modelH0The values are reduced to ZTD values at the user height.
The method for testing the real-time high-precision global multi-dimensional troposphere zenith delay grid model provided by the embodiment of the invention comprises the following steps:
and carrying out global precision inspection and regional applicability evaluation on the real-time high-precision global multidimensional ZTD refinement model by utilizing a global troposphere delay model and a common troposphere product.
The invention provides a real-time high-precision global multi-dimensional troposphere zenith delay grid model construction system, which comprises:
and the different isobaric layer ZTD information acquisition module is used for acquiring the latest ERA5 data provided by the ECMWF center, the grid ZTD data provided by the GGOS atmosphere center and the corresponding grid surface elevation, the ZTD product provided by the IGS center and the GNSS data provided by the CORS network as data sources and carrying out corresponding data processing.
Based on a sliding window algorithm, the global is divided into a regular window of 5 degrees multiplied by 4 degrees, and the extracted global ERA5 grid dot hierarchical meteorological data with the annual planar resolution of 1 degree multiplied by 1 degree and the corresponding surface meteorological data are utilized to calculate the ZTD information of each worldwide ERA5 grid dot on different equal-pressure layers.
The coefficient acquisition module of the ZTD vertical profile function expresses a ZTD vertical profile function model of each global window by using a negative index function, and for each global window, the coefficients of the ZTD vertical profile function of each global window, namely 5 coefficients of a beta factor, are estimated by using ZTD profile information of 30 ERA5 lattice points in the window with the resolution of 1 hour for many years through a least square method.
And the ZTD vertical section grid model acquisition module is used for storing the obtained 5 coefficients of the beta factor of each window in the world in a grid form with the plane resolution of 5 degrees multiplied by 4 degrees to obtain the ZTD vertical section grid model with the plane resolution of 5 degrees multiplied by 4 degrees and taking the fine seasonal change of the ZTD elevation scaling factor into consideration.
And the ZTD value acquisition module is used for resampling ZTD values with different time resolutions after precisely extracting GNSS reference stations, namely an IGS station 5minZTD product and CORS network GNSS station 1h ZTD data contained in each window of the world, and acquiring the ZTD value with the same time resolution as that of the GGOS grid ZTD, namely 6 h.
The ZTD elevation reduction module is used for carrying out elevation reduction on the GGOS grid ZTD product and the GNSS reference station ZTD data and correcting the GGOS grid ZTD product and the GNSS reference station ZTD data to the average elevation H in the respective windows of the whole world0To (3).
And the ZTD time sequence model building module is used for projecting multisource ZTD values with 6h resolution in each window of the world to the average elevation position of each window, and building the ZTD time sequence model for considering elevation, latitude and fine seasonal change in each window of the world based on the fused data.
The real-time high-precision global multidimensional ZTD grid model acquisition module takes multidimensional ZTD model parameters at the average height of each window in the world as parameters of the geometric center of each window, stores the parameters in a grid point form, constructs a new global grid with the plane resolution of 5 degrees multiplied by 4 degrees according to a sliding window algorithm, and constructs a real-time high-precision global multidimensional ZTD grid model suitable for any height.
The technical solution of the present invention is further illustrated by the following specific examples.
Example 1:
(1) data source introduction and processing. The model construction of the invention relates to data sources which are respectively as follows: the latest ERA5 data provided by ECMWF center, grid ZTD data provided by GGOS atmosphere center and its corresponding grid surface elevation, ZTD product provided by IGS center and GNSS data provided by CORS grid. Wherein the ERA5 reanalyzed data has a horizontal resolution of 0.25 degree, a temporal resolution of 1 hour, and a vertical resolution of 37 equal-pressure layers; the horizontal resolution of the GGOS large grid ZTD product is 2.5 degrees multiplied by 2 degrees (longitude multiplied by latitude), and the time resolution is 6 h; the IGS center provides a ZTD product of thousands of GNSS reference stations in the world, the time resolution is 5min, and the precision is better than 5 mm; aiming at GNSS reference station data provided by a CORS network, calculating ZTD information of each GNSS reference station with a resolution ratio superior to 1h by using Bernese high-precision GNSS processing software; the method needs to download and extract the hierarchical data of the grid points (each grid point is 37 layers of data) of the global ERA5 data with the horizontal resolution of 1 degree multiplied by 1 degree and the earth surface data for many years, wherein the hierarchical data comprises the air pressure, the potential height, the specific humidity and the temperature data, and the earth surface data comprises the earth surface air pressure, the earth surface temperature, the earth surface specific humidity data and the corresponding earth surface elevation; the global ZTD vertical section grid model is constructed by using ZTD values calculated by ERA5 data, and on the basis, GGOS large grid ZTD products and GNSS reference station ZTD data are fused to construct a global multidimensional ZTD grid model.
(2) The principle of ZTD calculation. The ZTD value of each grid point in the world at the surface elevation and the ZTD values of different equal-pressure layers can be obtained by integral calculation, and the integral formula for calculating the ZTD is as follows:
wherein N represents the total refractive index of the atmosphere, P represents the atmospheric pressure (hPa), e represents the vapor pressure (hPa), Q represents the specific humidity,t represents temperature, H represents elevation, H _ low represents the bottommost height calculated by the ERA5 reanalysis data integration, H _ top represents the topmost height calculated by the ERA5 reanalysis data integration, k1=77.604K/Pa、k264.79K/Pa and K3=375463K2The values of/hPa are constant coefficients. Since the ERA5 reanalyzes the top layer of the data and residual atmosphere, in order to improve the computing precision of ZTD, a Saastamoinen model is adopted to compute the residual tropospheric delay value above the layer top, and the residual tropospheric delay value is added to the integration result of each final layer of each lattice point of ERA 5. The integral calculation is convenient, the formula (1) needs to be discretized, and can be rewritten as follows:
wherein N isiAnd Δ HiRespectively representing the total atmospheric refractive index and the atmospheric thickness of the ith layer, and n represents the integral atmospheric layer number; ZHDSaasERA5, representing the Saastamoinen model calculation, reanalyzes the residual ZHD values at the top of the data layer, as calculated by the following equation:
in the formula (I), the compound is shown in the specification,
the latitude (unit: rad) and the elevation (unit: km) of the measuring station are shown.
(3) A sliding window algorithm is introduced. The determination of the size of the sliding window needs to take the principles of the integer of the global window subdivision number, the continuity of the window, the resolvability of model parameters in the window and the like into consideration. Based on the above principle, the present invention exemplifies the sliding window algorithm with the area range of 5 ° × 4 ° (longitude × latitude) as a sliding window size, and the flow is shown in fig. 3. The specific process is as follows: firstly, utilizing the first window N at the upper left corner of the grid1Inner (each black box represents a sliding window size) multi-source data obtains troposphere related model parameters in the window, and the troposphere related model parameters are used as the windowMouth N1The result of the center grid point (black dot in box); then the window is moved to the east direction of the latitude by 2 lattice points, and a new window N is solved2Inner troposphere-related model parameters, as window N2Calculating the troposphere related model parameters in all windows at the latitude by analogy according to the result of the central grid point; then the window is moved to the next latitude (two grid points are moved downwards), the troposphere related model parameters in all windows of the latitude are solved in the same method, and the like is repeated until the troposphere related model parameters in all windows of the world are solved. Finally, the troposphere-related model parameters in all the windows of the world are obtained and taken as the results of the central grid points of the respective windows, and finally, a new global grid is constructed from the central grid points of all the windows of the world, as shown by the black points and the dotted lines in fig. 3.
(3) And (4) performing integral calculation on information of each window ZTD vertical section of the world. The invention divides the world into regular windows (3240 windows) of 5 degrees multiplied by 4 degrees based on a sliding window algorithm, each window comprises 30 ERA5 data grid points with 1 degree multiplied by 1 degree plane resolution, and the ZTD information of each ERA5 grid point on different isobaric layers in the world is calculated according to the integration of the formulas (1) - (5) by utilizing the extracted global ERA5 grid point layered meteorological data (air pressure, potential height, specific humidity and temperature) with the annual plane resolution of 1 degree multiplied by 1 degree and the corresponding surface meteorological data (air pressure, surface elevation, specific humidity and temperature).
(4) And constructing a ZTD vertical section model. Expressing a global ZTD vertical profile function model of each window by using a negative exponential function, and estimating a ZTD vertical profile model coefficient of each window by using ZTD profile information of 30 ERA5 grid points in each window with the resolution of 1 hour for many years according to a least square method for each window in the world, wherein the ZTD vertical profile function of each window is as follows:
ZTDHu=ZTDHr*exp(-βi*(Hu-Hr)) (6)
in the formula, Hu and Hr are expressed as target elevation and reference elevation, ZTDHuAnd ZTDHrThe ZTD values at the target elevation and the reference elevation, respectively, β is the ZTD elevation scaling factor, i denotes the window number (i ═ 1,2, 3)…, 3240). The 5-year time sequence of the beta factor is subjected to spectrum detection analysis by adopting Fast Fourier Transform (FFT), and the beta factor is mainly represented by annual cycle and semiannual cycle changes. To this end, β for each window around the world, which can be expressed as:
in the formula, A0Is the annual mean value of ZTD elevation scaling factor (A)1,A2) Represents the annual cycle amplitude coefficient of the ZTD elevation scaling factor, (A)3,A4) Represents the half-year-cycle amplitude coefficient of the ZTD elevation scaling factor. The 5 coefficients of the global beta factor of each window are stored in a grid form with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude), and a ZTD vertical section grid model which takes account of the fine seasonal variation of the ZTD elevation scaling factor and has the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude) is obtained.
(5) The ZTD vertical profile mesh model was used. The use of the new model is very simple, with the following steps: 1) searching a lattice point closest to the ZTD vertical profile lattice model according to the plane position (longitude and latitude) of the user, and acquiring model parameters (5 coefficients of a beta factor) of the lattice point; 2) based on the elevation information of the user, the ZTD at the reference elevation can be finally determined according to equation (6)HrZTD of values to elevation normalization to target heightHuThe value is obtained.
(6) And (5) testing the precision of the ZTD vertical section grid model. And (3) verifying the accuracy of the global ZTD vertical section grid model by combining ZTD information of different equal-pressure layers of the global grid point which does not participate in the modeling ERA5 data integral calculation and ZTD information of different sections of the global probe station data integral calculation.
(7) The multi-source ZTD data is resampled in time. In order to realize the multi-source data joint modeling, firstly, the time resolutions of different data sources are unified, so that the time resolution ZTD values precisely extracted by GNSS reference stations (IGS station 5minZTD product and CORS net GNSS station 1h ZTD data) contained in various windows around the world are resampled to obtain the ZTD value with the same time resolution (6h) as that of the GGOS grid ZTD.
(8) All-purposeAnd calculating the average elevation of each window of the ball. In order to realize the fusion modeling of multi-source data, the elevation reduction of the GGOS grid ZTD product and the GNSS reference station ZTD data is needed to be carried out, and the elevation reduction is corrected to the average elevation H in each window of the whole world0And the average elevation of each window is the average elevation of the GGOS grid point in the window and the elevation of the GNSS reference station falling into the window, and the calculation formula is as follows:
in the formula H
0The average elevation of the window is represented,
representing the elevation of the ith GGOS grid point within the window,
representing the elevation, n, of the kth GNSS station within the window
1Indicates the number of GGOS grid points in the window, n
2Representing the number of GNSS reference stations within the window.
(9) And fusing multi-source data to construct a global ZTD time sequence model with high time resolution of each window. And projecting the multisource ZTD value with 6h resolution in each window of the world to the average elevation of each window to realize multisource data fusion modeling. The ZTD fine seasonal variation detection is the basis for constructing a high-time-resolution ZTD time sequence model, and research shows that the ZTD shows remarkable annual cycle and half-annual cycle variation in the world. Therefore, the inventor conducts deep research on the day-cycle variation characteristic of global ZTD by using GGOS grid ZTD, and shows that the ZTD also has obvious day-cycle variation, and particularly in middle and low latitude areas, the day-cycle variation of the ZTD is more obvious. In addition, the ERA5 data is used for preliminary study on the spatial change of the ZTD, and the study shows that the ZTD is influenced by the elevation direction much more than the plane direction, and the ZTD has smaller change on different longitudes on the same latitude band at the same height. Based on the analysis, the invention constructs a ZTD time sequence model of the internal view of each window of the world, the elevation, the latitude and the fine seasonal variation, and the expression formula is shown as the formula (9) and the formula (10):
in the formula (I), the compound is shown in the specification,
representing the mean elevation of the window H
0A ZTD value of (a); ZTD
HA ZTD value representing H at surface height; the delta ZTD represents the ZTD correction value projected from the earth surface height to the window average elevation, and can be calculated through a constructed ZTD vertical section model in the window; a is
0Is the ZTD annual mean at the window mean height;
representing the latitude; a is
1Representing a latitude correction factor; a is
2、a
3And a
4Respectively representing the amplitude of the ZTD year, half year and day periods at the window average height; phi is a
1、φ
2And phi
3Phase of ZTD year, half year and day periods at the window average height are respectively represented; doy is year day, hod is UTC. And solving the ZTD time sequence model parameter at the average height in each window in the world by using all multi-source data in the window and adopting a least square method.
(10) And constructing a global multi-dimensional ZTD grid model with high precision and high space-time resolution. Global fine expression of multi-dimensional ZTD model parameters (ZTD time sequence model parameters, ZTD vertical profile model parameters and global average elevation of each window) of each window is the key for constructing a high space-time resolution global multi-dimensional ZTD refinement model. In the invention, multidimensional ZTD model parameters at the average height of each window in the world are used as parameters of the geometric center of each window, and are stored in a grid point form, and a new global grid with the plane resolution of 5 degrees multiplied by 4 degrees (longitude multiplied by latitude) is finally constructed according to a sliding window algorithm, and a real-time high-precision global multidimensional ZTD grid model applicable to any height is finally constructed.
(11) And (3) using and testing a global multi-dimensional ZTD refinement model with high space-time resolution. And searching and acquiring a multidimensional ZTD model parameter of a grid point at the geometric center of the window closest to the user according to the approximate position information of the user. According to the obtained multidimensional ZTD model parameters, firstly, calculating the average height of the window where the user is positioned
Then using window ZTD vertical section grid model
The values are reduced to ZTD values at the user height.
Meanwhile, a common global troposphere delay model (GPT2w, UNB3m, EGNOS and other models) and common troposphere products (products such as ZTD provided by an IGS center, ZTD provided by a GGOS atmosphere center, ZTD calculated by CORS network reference station data, ERA5 data, radio detection empty station data and the like) are used for carrying out global precision inspection and regional applicability evaluation on the real-time high-precision global multidimensional ZTD refinement model constructed by the method, and the effectiveness, reliability and regional enhancement of the model are verified. The general technical route is shown in fig. 2.
Multisource data are resampled, elevation reduction is carried out on the multisource ZTD data based on the constructed ZTD vertical section model, and the multisource ZTD data are reduced to the average elevation of each window; establishing a ZTD time sequence model of the internal consideration of each window, the elevation, the latitude and the fine seasonal change of the whole world based on the multisource ZTD data of each window after the elevation is reduced; and taking the multidimensional ZTD model parameters at the average elevation position of each window in the world as the parameters of the geometric center of each window, storing the parameters in a grid point form, constructing a new global 5-degree multiplied by 4-degree grid according to a sliding window algorithm, and constructing a real-time high-precision global multidimensional ZTD grid model suitable for any height. The real-time high-precision global multidimensional ZTD grid model established by the method well improves the calculation efficiency of the model and enhances the practicability of the model.
Through the above description of the embodiments, those skilled in the art will clearly understand that the present invention may be implemented by software plus a necessary hardware platform, and may also be implemented by hardware entirely. With this understanding in mind, all or part of the technical solutions of the present invention that contribute to the background can be embodied in the form of a software product, which can be stored in a storage medium, such as a ROM/RAM, a magnetic disk, an optical disk, etc., and includes instructions for causing a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods according to the embodiments or some parts of the embodiments of the present invention.
The above description is only for the purpose of illustrating the present invention and the appended claims are not to be construed as limiting the scope of the invention, which is intended to cover all modifications, equivalents and improvements that are within the spirit and scope of the invention as defined by the appended claims.