CN115980751A - Power law model InSAR troposphere delay correction method - Google Patents

Power law model InSAR troposphere delay correction method Download PDF

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CN115980751A
CN115980751A CN202310070011.6A CN202310070011A CN115980751A CN 115980751 A CN115980751 A CN 115980751A CN 202310070011 A CN202310070011 A CN 202310070011A CN 115980751 A CN115980751 A CN 115980751A
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delay
troposphere
phase
power law
insar
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李梦华
王俊宇
唐伯惠
付志涛
吴学群
杨梦诗
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Kunming University of Science and Technology
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Abstract

The invention discloses a troposphere delay correction method of a power law model InSAR, which is added in the process of processing data by a time series InSAR. Calculating the dry delay and the wet delay of the atmosphere in the research area by utilizing a fifth generation atmosphere reanalysis data set of the global climate released by a European middle-term weather forecast center, and then obtaining the total zenith delay of the SAR image; then, power law parameters alpha and reference elevation h are estimated for troposphere delay obtained by calculation of ERA-5 through a fitting method c (ii) a Extracting the surface elevation h of each pixel element in the interference image from the used DEM; then, a space band-pass filtering method is used for estimating partial troposphere delay signals phi tropo Then the reference elevation h is calculated c Making difference with pixel surface elevation h, and adopting robust estimation method to estimate phase and topographic phase relationNumber K φ (ii) a Correlating the coefficient K according to a multiple weighting method φ Calculating into each pixel; and finally, calculating the troposphere delay phase of each interferogram.

Description

Power law model InSAR troposphere delay correction method
Technical Field
The invention belongs to the technical field of InSAR, and particularly relates to a power law model InSAR troposphere delay correction method based on ERA-5 reanalysis data.
Background
The InSAR technology is an interferogram obtained by covering the difference between phase values of two SAR image data obtained by repeated orbit observation at different moments in the same area, and obtained phase difference information is represented as the ground surface deformation condition. Compared with the traditional leveling method, the InSAR technology can measure the deformation of the earth surface in all weather, large range and high precision all day long, is one of the main technical means for monitoring the health of urban infrastructure gradually, is widely used for monitoring the deformation of the earth surface in various places in the world, and successfully identifies and monitors deformation signals which harm urban safety, such as a settlement funnel caused by underground water mining, non-uniform deformation caused by fault activity, earth surface settlement caused by infrastructure construction and the like.
Whether optical or radar remote sensing, atmospheric effects are unavoidable in satellite-to-ground monitoring systems. In radar remote sensing monitoring, when microwave signals emitted by satellites pass through the atmosphere at the time of two times of SAR imaging, delay phases with different degrees, namely atmospheric effects, can be generated under the influence of temperature, humidity, air pressure, wind speed and the like, so that the accuracy of InSAR in surface monitoring is restricted, and the method is one of main error sources.
For urban deformation monitoring in middle and low latitude areas, the ionosphere effect is small, and the troposphere effect in the atmospheric effect is used as one of main error sources for InSAR observation. The troposphere effect can be divided into vertical layering delay and turbulent mixing delay, wherein the vertical layering delay is caused by vertical refraction sections with different acquisition moments of two SAR images, mainly influences areas with large topographic relief, and has strong spatial correlation with the terrain; turbulent mixing delay is caused by the turbulent flow process of atmospheric water vapor, which results in the spatial distribution of the atmospheric refractive index being inconsistent in the horizontal and vertical directions in two observations.
At present, models based on spectrometer (MERIS, MODIS) atmospheric correction models, meteorological research and prediction models (WRF) and the like in the InSAR troposphere delay correction method can effectively correct turbulent mixing delay. In areas with large topographic relief, although the vertical layering delay can be corrected by the conventional linear model and the power law model, the conventional linear model and the power law model have the disadvantages. The traditional linear model correction method is based on a single interferogram, a simple relationship between a phase and an elevation is assumed, and a scale factor is a constant, so that the tropospheric delay of spatial variation cannot be estimated; the power law model correction method is a method for correcting vertical layering delay after estimating power law parameters by utilizing sounding balloon data, but the power law model atmospheric correction method cannot be used in areas without sounding balloon data.
Therefore, the power law model InSAR troposphere delay correction method based on the ERA-5 is provided.
Disclosure of Invention
In order to solve the problem that a power law model method cannot be used due to lack of sounding balloon data, the invention provides a power law model InSAR troposphere delay correction method based on ERA-5 reanalysis data;
in order to achieve the technical purpose, the invention is realized by the following technical scheme:
an ERA-5 reanalysis data-based power law model InSAR troposphere delay correction method is realized by the following steps:
s1: collecting data sets of N SAR single-view complex images, selecting one of the images as a main image, and taking the rest N-1 images as auxiliary images;
s2: carrying out image registration and resampling on the N-1 auxiliary images and the main image, and generating N interferograms after preprocessing; after processing is carried out by utilizing an external DEM, removing a terrain phase, and finally generating a differential interference pattern;
s3: selecting coherent points, and screening out high-coherence target points;
s4: carrying out phase unwrapping on the selected coherent point target to obtain a differential interference phase after unwrapping each coherent point;
s5: performing troposphere delay correction by using an ERA-5 meteorological reanalysis data dataset, and calculating dry delay and wet delay of a troposphere in a research area;
s6: analyzing the relationship between the tropospheric delay phase corrected by the ERA-5 re-analysis data set and the terrain elevation, and fitting the required power law parameter alpha and the reference elevation h by using the obtained relationship between the tropospheric delay phase and the elevation c Finally, troposphere delay correction is carried out by utilizing a power law model;
s7: after the vertical layering delay is corrected, an InSAR time sequence result is generated.
Preferably, the specific technical method in S5 is as follows:
adopting an expression:
Figure BDA0004064419400000031
the refractive index of the atmosphere due to dry retardation in the investigation region was calculated,
Figure BDA0004064419400000032
it is calculated that the refractive index of the atmosphere, -based on the wet delay in the investigation region>
Figure BDA0004064419400000033
Figure BDA0004064419400000034
Calculating the atmospheric refractive index N of the troposphere; wherein, K 1 =0.776Kpa -1 ,K 2 =0.716Kpa -1 ,K 3 =3.75*10 5 K 2 pa -1 P is total pressure, T is temperature, and e is water vapor partial pressure;
the tropospheric dry and wet retardations are obtained by integrating the refractive indices:
adopting an expression:
Figure BDA0004064419400000041
calculating the delay of the radar visual line to the troposphere in the research area,
Figure BDA0004064419400000042
calculating the wet delay of the radar sight line to the troposphere in the research area,
Figure BDA0004064419400000043
the total delay of the radar visual line to the troposphere in the research area is calculated,
Figure BDA0004064419400000044
calculating tropospheric delay of the interferogram; wherein it is present>
Figure BDA0004064419400000045
Conversion factor for pseudo range to add to phase delay, θ is angle of incidence, h top Is troposphere zenith, and h is surface elevation;
preferably, an expression is adopted in S6:
Figure BDA0004064419400000046
h<h c (ii) a K is a scale factor between the estimated tropospheric delay phase and the reference elevation; />
Figure BDA0004064419400000047
Is a constant deviation term, is the height h c The delay phase of time.
The beneficial effects of the invention are:
according to the InSAR troposphere delay correction method provided by the invention, by utilizing the advantage that EAR-5 re-analysis data set data is acquired without charge globally, the power law model can be applied in different time periods and under different atmospheric conditions, the vertical layering delay caused by large topographic relief is effectively corrected, and the accuracy of surface deformation detection is improved.
Drawings
Fig. 1 is a processing flow chart of the time series InSAR technique method of the present invention.
Fig. 2 is a flow chart of the power law model InSAR troposphere delay correction method based on ERA-5 provided by the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention provides an ERA-5-based power law model InSAR troposphere correction method, which is an atmospheric delay correction method used when the topographic relief is large and the troposphere delay and the elevation show high correlation. Adding a troposphere delay correction method in the process of processing time series InSAR data, and removing vertical stratification delay according to the relationship between troposphere delay and elevation; wherein, ERA-5 meteorological reanalysis data set is adopted to estimate the troposphere phase of the researched area, if the estimated troposphere delay and the elevation have a power law relation, then parameters alpha and h in the power law model are estimated by utilizing the troposphere delay c And finally, correcting the vertical layered atmosphere delay by adopting a power law model correction method.
Example 1
Referring to fig. 1, the invention provides a time series InSAR technical method processing flow chart of an ERA-5-based power law model troposphere delay correction method, which comprises the following steps:
s1: collecting data sets of N SAR single-view complex images, selecting one image as a main image, and taking the rest N-1 images as auxiliary images;
s2: carrying out image registration and resampling on the N-1 auxiliary images and the main image, and generating N interferograms after preprocessing; after processing is carried out by utilizing an external DEM, removing a terrain phase, and finally generating a differential interference pattern;
s3: selecting coherent points, and screening out high-coherence target points;
s4: carrying out phase unwrapping on the selected coherent point target to obtain a differential interference phase after unwrapping each coherent point;
s5: tropospheric delay correction is performed using the ERA-5 meteorological reanalysis data dataset to calculate dry and wet delays for the troposphere in the study area, including:
adopting an expression:
Figure BDA0004064419400000061
the refractive index of the atmosphere due to dry retardation in the investigation region was calculated,
Figure BDA0004064419400000062
it is calculated that the refractive index of the atmosphere, -based on the wet delay in the investigation region>
Figure BDA0004064419400000063
Figure BDA0004064419400000064
Calculating the atmospheric refractive index N of the troposphere; wherein, K 1 =0.776Kpa -1 ,K 2 =0.716Kpa -1 ,K 3 =3.75*10 5 K 2 pa -1 P is total pressure, T is temperature, and e is water vapor partial pressure;
the tropospheric dry and wet retardations are obtained by integrating the refractive indices:
adopting an expression:
Figure BDA0004064419400000065
calculating the tropospheric stem delay,. Or `, in the investigation region>
Figure BDA0004064419400000066
The tropospheric wet delay within the study area is calculated,
Figure BDA0004064419400000067
the total tropospheric delay within the study volume is calculated,
Figure BDA0004064419400000068
tropospheric delay of the interferogram is calculated. Wherein the content of the first and second substances,
Figure BDA0004064419400000069
a conversion factor for pseudo-range to phase delay, theta is the angle of incidence, h top The troposphere zenith and the earth surface elevation.
S6: analyzing the relation between the tropospheric delay phase corrected by the ERA-5 re-analysis data set and the terrain elevation, and fitting the required power law parameter alpha and the reference elevation h by using the obtained relation between the tropospheric delay phase and the elevation c Finally, troposphere delay correction is carried out by utilizing a power law model;
adopting an expression: delta phi tropo =K(h c -h) αc ,h<h c (ii) a K is a scale factor, phi, between the estimated tropospheric delay phase and the reference elevation c Is a constant deviation term (height h) c Delayed phase of time).
S7: and generating an InSAR time sequence result after correcting the vertical layering delay.
In the description herein, references to the description of "one embodiment," "an example," "a specific example" or the like are intended to mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
The preferred embodiments of the invention disclosed above are intended to be illustrative only. The preferred embodiments are not intended to be exhaustive or to limit the invention to the precise embodiments disclosed. Obviously, many modifications and variations are possible in light of the above teaching. The embodiments were chosen and described in order to best explain the principles of the invention and the practical application, to thereby enable others skilled in the art to best utilize the invention. The invention is limited only by the claims and their full scope and equivalents.

Claims (3)

1. A power law model InSAR troposphere delay correction method based on ERA-5 reanalysis data is characterized by comprising the following steps:
s1: collecting data sets of N SAR single-view complex images, selecting one image as a main image, and taking the rest N-1 images as auxiliary images;
s2: carrying out image registration and resampling on the N-1 auxiliary images and the main image, and generating N interferograms after preprocessing; after processing is carried out by utilizing an external DEM, removing a terrain phase, and finally generating a differential interference pattern;
s3: selecting coherent points, and screening out high-coherence target points;
s4: phase unwrapping is carried out on the selected coherent point target, and a differential interference phase after unwrapping of each coherent point is obtained;
s5: performing troposphere delay correction by using an ERA-5 meteorological reanalysis data dataset, and calculating dry delay and wet delay of a troposphere in a research area;
s6: analyzing the relation between the tropospheric delay phase corrected by the ERA-5 re-analysis data set and the terrain elevation, and fitting the required power law parameter alpha and the reference elevation h by using the obtained relation between the tropospheric delay phase and the elevation c Finally, troposphere delay correction is carried out by utilizing a power law model;
s7: and generating an InSAR time sequence result after correcting the vertical layering delay.
2. The method for power law model InSAR troposphere delay correction based on ERA-5 reanalysis data as claimed in claim 1, wherein the specific technical method in S5 is as follows:
adopting an expression:
Figure FDA0004064419390000011
the refractive index of the atmosphere due to dry retardation in the investigation region was calculated,
Figure FDA0004064419390000012
it is calculated that the refractive index of the atmosphere, -based on the wet delay in the investigation region>
Figure FDA0004064419390000013
Figure FDA0004064419390000028
Calculating the atmospheric refractive index N of the troposphere; wherein, K 1 =0.776Kpa -1 ,K 2 =0.716Kpa -1 ,K 3 =3.75*10 5 K 2 pa -1 P is total pressure, T is temperature, and e is water vapor partial pressure;
the tropospheric dry and wet retardations are obtained by integrating the refractive indices:
adopting an expression:
Figure FDA0004064419390000021
calculating the delay of the radar sight line to the troposphere in the research area,
Figure FDA0004064419390000022
the radar line-of-sight to tropospheric wet delay in the area under study is calculated,
Figure FDA0004064419390000023
the total delay of the radar visual line to the troposphere in the research area is calculated,
Figure FDA0004064419390000024
calculating tropospheric delay of the interferogram; wherein it is present>
Figure FDA0004064419390000025
Conversion factor for pseudo range to add to phase delay, θ is angle of incidence, h top Is the troposphere zenith and h is the earth's surfaceAnd (4) elevation.
3. The method for power law model InSAR tropospheric delay correction based on ERA-5 reanalysis data as claimed in claim 1, wherein the S6 adopts the expression:
Figure FDA0004064419390000026
k is a scale factor between the estimated tropospheric delay phase and the reference elevation; />
Figure FDA0004064419390000027
Is a constant deviation term, is the height h c The delay phase of time. />
CN202310070011.6A 2023-02-07 2023-02-07 Power law model InSAR troposphere delay correction method Pending CN115980751A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116338607A (en) * 2023-05-19 2023-06-27 中国科学院空天信息创新研究院 Time domain and space domain two-step InSAR troposphere delay correction method

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116338607A (en) * 2023-05-19 2023-06-27 中国科学院空天信息创新研究院 Time domain and space domain two-step InSAR troposphere delay correction method
CN116338607B (en) * 2023-05-19 2023-07-25 中国科学院空天信息创新研究院 Time domain and space domain two-step InSAR troposphere delay correction method

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