CN111999778A - Antarctic continental Mohuo surface depth inversion method based on satellite gravity gradient data - Google Patents
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Abstract
A south pole continental Mohuo surface depth inversion method based on satellite gravity gradient data comprises the following steps: acquiring satellite gravity gradient data covering a south pole continental area, and acquiring a Parker-Oldenburg interface inversion formula of the satellite gravity gradient data in a frequency domain; acquiring ice cover thickness data and ice terrain fluctuation data covering the Antarctic continental region; thirdly, calculating and removing the gravity gradient influence generated by the ice cover and the fluctuation of the terrain under the ice; fourthly, removing gravity gradient abnormality caused by ice surface topography fluctuation and ice-surface topography fluctuation from the satellite gravity gradient data; calculating the average depth by using the radial logarithm average power spectrum, and giving the depth range in the region; sixthly, utilizing initial hypothesis of reference depth of the Mohuo surface according to a gravity gradient data interface inversion formula
And density of crustcAnd (4) carrying out Mohuo surface inversion to obtain a depth value of the Mohuo surface. The method can accurately acquire the fluctuation structural characteristics of the south pole Mohuo surface and accurately calculate the thickness of the earth crust.
Description
Technical Field
The invention belongs to the field of geological research of the earth, and particularly relates to a Antarctic continental Mohuo surface depth inversion method based on satellite gravity gradient data.
Background
A series of geological evolution processes of ancient mountain-making sports and ground shield splicing form the current geological structure characteristics of the south Pole continental. In geology, Antarctic continents can be divided into three structural units, namely southeast extremely precambrian dildos, traversing Antarctic mountain range to make ancient Ross mountain range and Xinan concentrated new-generation moving range. The mechanism of stretching, substrate changes and formation of the antarctic continental crust have been controversial due to the lack of extensive geophysical survey data. The current research on the depth of the earth crust on the south Pole continental area is concentrated on a certain local area, and the whole motion mechanism and the change trend of the south Pole cannot be reflected.
The thickness of the fine crust of the south pole provides an important reference for understanding the movement process of the south pole continental land. Although the seismic section can accurately depict the fluctuation of the Mohuo surface, the price is high, and the coverage area is small. The traditional gravity measurement technology has space limitation, and limits the precision of the observation gravity field in a large-scale space range, especially in the regions with severe polar climate. With the continuous development of the gravity high satellite observation technology and the improvement of the data processing means, the precision of the satellite gravity anomaly is close to a milli-gamma level, the global coverage is high, and most areas of south poles can be covered. Satellite tracking satellite detection (SST) and satellite gravity gradient measurement (SGG) are considered to be efficient gravity satellite technologies with the greatest application prospect in the 21 st century, and sequential launching of CHA MP, GRACE and GOCE satellites represented by the two technologies is lifted, so that the spatial resolution, timeliness and precision of a gravity field are greatly improved. The CHAMP is not improved to a conventional gravity model in precision and spatial resolution, the precision of a spherical harmonic coefficient is mainly improved, a gravity field model obtained by GRACE is one order of magnitude higher than that of the CHAMP, the spatial resolution (half wavelength) is 100-200 km, a certain research and application have been carried out on the crustal structure in a large-scale range by utilizing GRACE satellite gravity data, and the GOCE satellite gravity gradient data contains high-frequency information in a gravity field spectrum, so that the satellite gravity observation data reaches unprecedented height. GOCE satellite gravity gradient data published by ESA (European space agency) provides important data support for better understanding of the inside of the earth and geophysical exploration research. The gravity gradient data contains rich high-frequency components and has higher spatial resolution, and fluctuation of the earth surface of the Antarctic continental can be better reflected by using the data, so that the knowledge of the thickness of the earth crust of the Antarctic continental is enhanced, and a new data basis is provided for the research.
Disclosure of Invention
The invention aims to provide a depth inversion method of a south pole continental Mohuo surface based on satellite gravity gradient data, which fully utilizes high-frequency information of the satellite gravity gradient data, which is rich relative to the traditional gravity data, to research a corresponding Mohuo surface inversion method, and is suitable for the gravity gradient data interface inversion by improving a Parker-Oldenburg interface inversion method, so that the fluctuation structural characteristics of the south pole Mohuo surface are obtained, and the thickness of a crust is accurately calculated.
As conceived above, the technical scheme of the invention is as follows: a south pole continental Mohuo surface depth inversion method based on satellite gravity gradient data is characterized by comprising the following steps: the method comprises the following steps:
acquiring satellite gravity gradient data covering a south-pole continental area, wherein the satellite gravity gradient data comprises gradient data Txz, Tyz and Tzz in x, y and z directions, the data format is txt, and the data comprises three rows of data of longitude, latitude and gravity gradient values; and acquiring a Parker-Oldenburg interface inversion formula of satellite gravity gradient data in a frequency domain;
acquiring ice cover thickness data and ice terrain fluctuation data covering the Antarctic continental region;
thirdly, calculating and removing the gravity gradient influence generated by the topographic relief of the ice cover;
fourthly, calculating and removing the gravity gradient influence generated by the fluctuation of the terrain under the ice;
removing gravity gradient abnormality generated by ice surface topography and ice surface topography from the satellite gravity gradient data to obtain abnormal gradient information generated only by the Mohuo surface topography;
solving the average depth by utilizing the radial logarithm average power spectrum, and giving the depth range in the region as the reference depth and constraint information for researching the fluctuation of the Mohuo surface of the region;
seventhly, utilizing initially assumed reference depth of the Mohuo surface according to a gravity gradient data interface inversion formula
And density of crustcAnd (4) carrying out Mohuo surface inversion to obtain a depth value of the Mohuo surface.
Further, the method for obtaining the Parker-Oldenburg interface inversion formula of the satellite gravity gradient data in the step I comprises the following steps:
according to the conversion relation between the satellite gravity gradient data and the satellite gravity abnormal value,
the satellite gravity gradient data Txz，Tyz，TzzConversion to satellite gravity anomaly Δ gTThe concrete calculation formula is as follows
Satellite gravity anomaly Δ g to be convertedTBrought into the conventional Parker-Oldenburg interface inversion formula,
wherein, the delta g is the measured gravity anomaly, and the formula for carrying out interface inversion by using the satellite gravity gradient data can be obtained
Further, the specific implementation method of the third step is as follows: loading ice cover thickness data, and calculating gravity gradient abnormality generated by air-ice surface topography fluctuation according to a fast Fourier transform method proposed by Parker, wherein a specific calculation formula is as follows:
further, the specific implementation method of the step (iv) is as follows: loading the fluctuation data of the ice-below terrain, and calculating the gravity gradient abnormality generated by the fluctuation of the ice layer-crust interface according to a fast Fourier transform method proposed by Parker, wherein the specific calculation formula is as follows:
further, the concrete implementation method of the fifth step is as follows: from satellite gravity gradient data Txz，Tyz，TzzRemoving gravity gradient abnormal T generated by ice surface topography1xz、T1yz、T1zzAnd gravity gradient anomaly T generated by subacid terrain undulation2xz、T2yz、T2zzObtaining abnormal gradient information T generated only by the Mohuo surface fluctuationmxz、Tmyz、TmzzNamely:
Tmxz＝Txz-T1xz-T2xz
Tmyz＝Tyz-T1yz-T2yz
Tmxz＝Tzz-T1zz-T2zz
further, the concrete implementation method of the step (sixty) comprises the following steps: calculating the average depth by using the radial logarithmic mean power spectrum, giving the depth range in the region as the constraint information and the reference depth for researching the fluctuation of the Mohuo surface of the region
Further, the specific implementation method of the step (c) is as follows: formula for interface inversion based on gravity gradient data
Using the gravity of the converted satellite
Anomaly Δ gTInitial mojoh plane reference depth
And density of crustcAnd (4) carrying out Mohuo surface inversion to obtain a depth value of the Mohuo surface.
And further, filtering the satellite gravity gradient data covering the Antarctic continental region acquired in the step I, and eliminating high-frequency interference information.
The Antarctic mainland Mohuo surface depth inversion method for the satellite gravity gradient data can accurately acquire the fluctuation structure characteristics of the Antarctic Mohuo surface by fully utilizing high-frequency information contained in the satellite gradient data, accurately calculate the thickness of the crust by integrating the fluctuation information of the ice cover and the ice terrain, and provide more accurate information for knowing the geological motion mechanism of the Antarctic. The method is simple and easy to implement, and has certain advantages compared with the traditional interface inversion method based on the gravity anomaly.
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FIG. 1 is a flow chart of the method of the present invention.
Detailed Description
The following detailed description of embodiments of the present invention will be made with reference to the accompanying drawings.
As shown in fig. 1, the present invention provides a method for depth inversion of a moore surface of a south Pole continental area based on satellite gravity gradient data, comprising the following steps:
acquiring satellite gravity gradient data covering a south-pole continental area, wherein the satellite gravity gradient data comprises gradient data Txz, Tyz and Tzz in x, y and z directions, the data format is txt, and the data comprises three rows of data of longitude, latitude and gravity gradient values; the method for acquiring the Parker-Oldenburg interface inversion formula of the satellite gravity gradient data in the frequency domain comprises the following steps:
according to the conversion relation between the satellite gravity gradient data and the satellite gravity abnormal value,
the satellite gravity gradient data Txz，Tyz，TzzConversion to satellite gravity anomaly Δ gTThe concrete calculation formula is as follows
Satellite gravity anomaly Δ g to be convertedTBrought into the conventional Parker-Oldenburg interface inversion formula,
wherein, the delta g is the measured gravity anomaly, and the formula for carrying out interface inversion by using the satellite gravity gradient data can be obtained
Acquiring ice cover thickness data and ice terrain fluctuation data covering the Antarctic continental region;
thirdly, calculating and removing the gravity gradient influence generated by the topographic relief of the ice cover, and the specific implementation method is as follows: loading ice cover thickness data, and calculating gravity gradient abnormality generated by air-ice surface topography fluctuation according to a fast Fourier transform method proposed by Parker, wherein a specific calculation formula is as follows:
fourthly, calculating and removing the gravity gradient influence generated by the fluctuation of the terrain under the ice, and the specific implementation method is as follows: loading the fluctuation data of the ice-below terrain, and calculating the gravity gradient abnormality generated by the fluctuation of the ice layer-crust interface according to a fast Fourier transform method proposed by Parker, wherein the specific calculation formula is as follows:
fifthly, removing gravity gradient abnormality generated by ice surface topography fluctuation and ice surface topography fluctuation from the satellite gravity gradient data to obtain abnormal gradient information generated only by the Mohuo surface fluctuation, wherein the specific implementation method comprises the following steps: from satellite gravity gradient data Txz，Tyz，TzzRemoving gravity gradient abnormal T generated by ice surface topography1xz、T1yz、T1zzAnd gravity gradient anomaly T generated by subacid terrain undulation2xz、T2yz、T2zzObtaining abnormal gradient information T generated only by the Mohuo surface fluctuationmxz、Tmyz、TmzzNamely:
Tmxz＝Txz-T1xz-T2xz
Tmyz＝Tyz-T1yz-T2yz
Tmxz＝Tzz-T1zz-T2zz
solving the average depth by utilizing the radial logarithm average power spectrum, giving the depth range in the region, and taking the depth range as the reference depth and constraint information for researching the fluctuation of the Mohuo surface of the region, wherein the specific implementation method comprises the following steps: calculating the average depth by using the radial logarithmic mean power spectrum, giving the depth range in the region as the constraint information and the reference depth for researching the fluctuation of the Mohuo surface of the region
Seventhly, according to a Parker-Oldenburg interface inversion formula of the satellite gravity gradient data,
satellite gravity anomaly Δ g obtained by conversionTInitial mojoh plane reference depth
And density of crustcAnd (4) carrying out Mohuo surface inversion to obtain a depth value of the Mohuo surface.
Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.
Claims (8)
1. A south pole continental Mohuo surface depth inversion method based on satellite gravity gradient data is characterized by comprising the following steps: the method comprises the following steps:
acquiring satellite gravity gradient data covering a south-pole continental area, wherein the satellite gravity gradient data comprises gradient data Txz, Tyz and Tzz in x, y and z directions, the data format is txt, and the data comprises three rows of data of longitude, latitude and gravity gradient values; and acquiring a Parker-Oldenburg interface inversion formula of satellite gravity gradient data in a frequency domain;
acquiring ice cover thickness data and ice terrain fluctuation data covering the Antarctic continental region;
thirdly, calculating and removing the gravity gradient influence generated by the topographic relief of the ice cover;
fourthly, calculating and removing the gravity gradient influence generated by the fluctuation of the terrain under the ice;
removing gravity gradient abnormality generated by ice surface topography and ice surface topography from the satellite gravity gradient data to obtain abnormal gradient information generated only by the Mohuo surface topography;
solving the average depth by utilizing the radial logarithm average power spectrum, and giving the depth range in the region as the reference depth and constraint information for researching the fluctuation of the Mohuo surface of the region;
seventhly, utilizing initially assumed reference depth of the Mohuo surface according to a gravity gradient data interface inversion formula
And density of crustcAnd (4) carrying out Mohuo surface inversion to obtain a depth value of the Mohuo surface.
2. The method of claim 1, wherein the depth inversion method for south Pole mainland Mohol surface based on satellite gravity gradient data is characterized in that: the method for acquiring the Parker-Oldenburg interface inversion formula of the satellite gravity gradient data comprises the following steps:
according to the conversion relation between the satellite gravity gradient data and the satellite gravity abnormal value,
the satellite gravity gradient data Txz，Tyz，TzzConversion to satellite gravity anomaly Δ gTThe concrete calculation formula is as follows
Satellite gravity anomaly Δ g to be convertedTBrought into the conventional Parker-Oldenburg interface inversion formula,
wherein, the delta g is the measured gravity anomaly, and the formula for carrying out interface inversion by using the satellite gravity gradient data can be obtained
3. The method of claim 1, wherein the depth inversion method for south Pole mainland Mohol surface based on satellite gravity gradient data is characterized in that: the concrete implementation method of the step III is as follows: loading ice cover thickness data, and calculating gravity gradient abnormality generated by air-ice surface topography fluctuation according to a fast Fourier transform method proposed by Parker, wherein a specific calculation formula is as follows:
4. the method of claim 1, wherein the depth inversion method for south Pole mainland Mohol surface based on satellite gravity gradient data is characterized in that: the specific implementation method of the step (iv) is as follows: loading the fluctuation data of the ice-below terrain, and calculating the gravity gradient abnormality generated by the fluctuation of the ice layer-crust interface according to a fast Fourier transform method proposed by Parker, wherein the specific calculation formula is as follows:
5. the method of claim 1, wherein the depth inversion method for south Pole mainland Mohol surface based on satellite gravity gradient data is characterized in that: the concrete implementation method of the fifth step is as follows: from satellite gravity gradient data Txz，Tyz，TzzRemoving gravity gradient abnormal T generated by ice surface topography1xz、T1yz、T1zzAnd gravity gradient anomaly T generated by subacid terrain undulation2xz、T2yz、T2zzObtaining abnormal gradient information T generated only by the Mohuo surface fluctuationmxz、Tmyz、TmzzNamely:
Tmxz＝Txz-T1xz-T2xz
Tmyz＝Tyz-T1yz-T2yz
Tmxz＝Tzz-T1zz-T2zz
6. the method of claim 1, wherein the depth inversion method for south Pole mainland Mohol surface based on satellite gravity gradient data is characterized in that: the concrete implementation method of the step (sixthly) is as follows: calculating the average depth by using the radial logarithmic mean power spectrum, giving the depth range in the region as the constraint information and the reference depth for researching the fluctuation of the Mohuo surface of the region
7. The method of claim 1, wherein the depth inversion method for south Pole mainland Mohol surface based on satellite gravity gradient data is characterized in that: the specific implementation method of the step (c) is as follows: formula for interface inversion based on gravity gradient data
Satellite gravity anomaly Δ g obtained by conversionTInitial mojoh plane reference depth
And density of crustcAnd (4) carrying out Mohuo surface inversion to obtain a depth value of the Mohuo surface.
8. The method of claim 1, wherein the depth inversion method for south Pole mainland Mohol surface based on satellite gravity gradient data is characterized in that: the satellite gravity gradient data covering the south-pole continental region acquired in the step I needs to be filtered, and high-frequency interference information is eliminated.
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| CN117572530A (en) * | 2024-01-17 | 2024-02-20 | 自然资源部第二海洋研究所 | Method for jointly determining ocean land boundary by gravity inversion Moholo surface and submarine earthquake |
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