CN114814967A - High-resolution submarine topography nonlinear method for inverting local sea area disturbance gravity data - Google Patents
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Abstract
The invention discloses a method for inverting high-resolution submarine topography nonlinearity by local sea area disturbance gravity data, which comprises the following steps: firstly, acquiring ocean disturbance gravity data and water depth data of a south-north survey line and an east-west survey line of a local sea area; establishing a local sea area north-south measuring line and east-west measuring line observation equation set; solving nonlinear correlation coefficients in observation equation sets of the north-south measuring line and the east-west measuring line of the local sea area by adopting a least square fitting method; acquiring nonlinear related parameters between local sea area disturbance gravity and submarine topography; and fifthly, inverting the grid sea depth data corresponding to the local sea area. According to the invention, two mutually perpendicular gravity and water depth sequence measuring lines are obtained by carrying out north-south and east-west shipborne gravity water depth measurement in a local area, and then the two measuring lines are used for fitting to obtain south-north and east-west nonlinear correlation function parameters, and then the parameters are used for inverting the submarine topography of the corresponding area by combining satellite height measurement gravity data.
Description
Technical Field
The invention belongs to the technical field, and particularly relates to a high-resolution submarine topography nonlinear method for inverting local sea area disturbance gravity data.
Background
The global wide sea area submarine topography is determined mainly by ship-borne multi-beam measurement, satellite radar height measurement and inversion and other technologies at present, and the sea depths of narrow water channels, offshore areas and beach areas are generally determined by ship-borne multi-beam, airborne laser depth measurement, multi-spectral inversion and other technologies. High-precision disturbance gravity/water depth data of a certain survey line in an ocean area can be obtained by simultaneously carrying out ship-borne multi-beam measurement and gravity measurement, but the ship-borne multi-beam measurement and the gravity measurement are limited by a measurement platform and an ocean objective environment condition, and the ship-borne measurement technology can only obtain limited data in a local area and is difficult to achieve global uniform coverage. The ocean satellite height measurement can acquire disturbance gravity data with global resolution up to 1' in about 2.5 years by means of multi-satellite serial flight, synthetic aperture altimeter and the like, and further can acquire submarine topography with corresponding resolution by inversion. At present, research institutions of various countries widely apply data including ship-borne depth measurement, satellite height measurement and the like to construct submarine topography models. On the basis of a submarine topography grid model inversion method, a gravity geological method, an analytic method, a frequency domain method, a least square configuration method and the like are widely used at present, the analytic model is generally linearized and then calculated by taking a 1-order term, and the theoretical inversion accuracy is low because high-order term factors between gravity and sea depth are ignored. Meanwhile, although the numerical value of the grid model reaches 1' (about 1.8km), the real resolution of the grid model is about 10-30km because 10-30km filtering processing is often used in the process of constructing the grid, and therefore the high-resolution-ratio inversion method of the wide sea-bottom terrain still needs to be optimized and improved.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a local sea area disturbance gravity data inversion high-resolution submarine topography nonlinear method aiming at the defects in the prior art, two perpendicular gravity and water depth sequence measuring lines are obtained by carrying out shipborne gravity water depth measurement in the north-south direction and the east-west direction in a local area, south-north direction and east-west direction nonlinear correlation function parameters are obtained by utilizing the two measuring lines and fitting, and then the submarine topography in a corresponding area is inverted by utilizing the parameters and combining satellite height measurement gravity data.
In order to solve the technical problems, the invention adopts the technical scheme that: the method for inverting the high-resolution submarine topography nonlinearity through the local sea area disturbance gravity data is characterized by comprising the following steps:
step one, obtaining ocean disturbance gravity data and water depth data of a south-north survey line and an east-west survey line of a local sea area: respectively acquiring ocean disturbance gravity data and water depth data sampling data sets of a north-south measuring line and an east-west measuring line passing through the center of a local sea area by adopting a shipborne gravity water depth measuring method, namely { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) And { (h) ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) Wherein { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) The sea disturbance gravity data and water depth data sampling data set of north and south survey lines, h sni For the ith sea depth sampling value on the north-south line, delta g sni The ith disturbance gravity sampling value on the north-south measuring line is represented by I, the number of sampling points on the north-south measuring line is represented by I, and I is 1,2 ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) The set of sampling data of ocean disturbance gravity data and water depth data of east-west measuring lines, h ewj Is the jth sea depth sampling value delta g on the east-west measuring line ewj J is the jth disturbed gravity sampling value on the east-west measuring line, J is the number of sampling points on the east-west measuring line, and J is 1, 2.
Step two, establishing a local sea area north-south measuring line and east-west measuring line observation equation set: establishing observation equation sets of local sea area north-south measuring lines and east-west measuring lines according to ocean disturbance gravity data and water depth data sampling data sets of north-south measuring lines and east-west measuring lines
Wherein, P sn1 、P sn2 And P sn3 Respectively are nonlinear correlation coefficients of a local sea area north-south line observation equation; p ew1 、P ew2 And P ew3 Respectively are nonlinear correlation coefficients of an east-west measuring line observation equation of a local sea area; delta D is a density difference parameter between local seawater and the crust;
solving nonlinear correlation coefficients in observation equation sets of the north-south measuring line and the east-west measuring line of the local sea area by adopting a least square fitting method;
acquiring nonlinear related parameters between local sea area disturbance gravity and submarine topography: according to the formula
Obtaining a nonlinear correlation parameter P between local sea area disturbance gravity and submarine topography 1 、P 2 And P 3 (ii) a Wherein,
is the weight of the north-south line-of-sight observations,
is the weight of the east-west line observation, an
Step five, inverting grid sea depth data corresponding to the local sea area: obtaining satellite height measurement gravity grid data in a local sea area by utilizing satellite height measurement, wherein the data volume of the satellite height measurement gravity grid is N, and constructing grid sea depth terrain observation equations corresponding to the local sea area
Wherein, δ g sea,n Obtaining the nth satellite altimetry gravity value h in the local sea area for the satellite altimetry sea,n The method includes the steps that the number of the nth sea depth value to be measured in a local sea area is N, the satellite height measurement gravity grid data number in the local sea area is obtained through satellite height measurement, and N is 1, 2.
The local sea area disturbance gravity data inversion high-resolution submarine topography nonlinear method is characterized by comprising the following steps: the north-south measuring line and the east-west measuring line are mutually vertical, and the north-south length of the local sea area is 80 km-100 km; the east-west length of the local sea area is 80 km-100 km.
The local sea area disturbance gravity data inversion high-resolution submarine topography nonlinear method is characterized by comprising the following steps: the interval between sampling points on the north-south measuring line and the east-west measuring line of the local sea area is not more than 100 m.
The method has the advantages that the obvious nonlinear correlation function characteristics exist between the disturbance gravity data and the terrain, so that a simple and feasible resolving method is provided for wide sea area high-resolution submarine terrain inversion by utilizing sparse prior ship measurement data and a dense satellite height measurement disturbance gravity data inversion nonlinear correlation function model, the problems of long time and difficult workload caused by the fact that the submarine terrain measurement with the global sea area resolution of 1km or even hundreds of meters is realized by only utilizing a ship-borne measuring means are solved, and the method is convenient to popularize and use.
The technical solution of the present invention is further described in detail by the accompanying drawings and embodiments.
Drawings
FIG. 1 is a block diagram of the process flow of the present invention.
Fig. 2 is a grid ship-measured water depth data distribution gray scale diagram of the satellite height measurement and verification in this embodiment.
Fig. 3 is an inverted high-resolution submarine topography gray scale map of the first experimental region in this embodiment.
Fig. 4 is an inverted high-resolution submarine topography gray scale map of the second experimental region in this embodiment.
Detailed Description
As shown in fig. 1, the method for inverting high-resolution submarine topography nonlinearity by using local sea area disturbance gravity data of the invention comprises the following steps:
step one, obtaining ocean disturbance gravity data and water depth data of a south-north survey line and an east-west survey line of a local sea area: respectively acquiring ocean disturbance gravity data and water depth data sampling data sets of a north-south measuring line and an east-west measuring line passing through the center of a local sea area by adopting a shipborne gravity water depth measuring method, namely { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) And { (h) ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) Wherein { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) The sea disturbance gravity data and water depth data sampling data set of north and south survey lines, h sni For the ith sea depth sampling value on the north-south line, delta g sni The ith disturbance gravity sampling value on the north-south measuring line is represented by I, the number of sampling points on the north-south measuring line is represented by I, and I is 1,2 ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) The set of sampling data of ocean disturbance gravity data and water depth data of east-west measuring lines, h ewj Is the jth sea depth sampling value delta g on the east-west measuring line ewj J is the jth disturbed gravity sampling value on the east-west measuring line, J is the number of sampling points on the east-west measuring line, and J is 1, 2.
Step two, establishing a local sea area north-south measuring line and east-west measuring line observation equation set: establishing observation equation sets of local sea area north-south measuring lines and east-west measuring lines according to ocean disturbance gravity data and water depth data sampling data sets of north-south measuring lines and east-west measuring lines
Wherein, P sn1 、P sn2 And P sn3 Respectively are nonlinear correlation coefficients of a local sea area north-south line observation equation; p ew1 、P ew2 And P ew3 Respectively are nonlinear correlation coefficients of an east-west measuring line observation equation of a local sea area; delta D is a density difference parameter between local seawater and the crust;
solving nonlinear correlation coefficients in observation equation sets of the north-south measuring line and the east-west measuring line of the local sea area by adopting a least square fitting method;
acquiring nonlinear related parameters between local sea area disturbance gravity and submarine topography: according to the formula
Obtaining a nonlinear correlation parameter P between local sea area disturbance gravity and submarine topography 1 、P 2 And P 3 (ii) a Wherein,
is the weight of the north-south line-of-sight observations,
is the weight of the east-west line observation, an
Step five, inverting grid sea depth data corresponding to the local sea area: obtaining satellite height measurement gravity grid data in a local sea area by utilizing satellite height measurement, wherein the data volume of the satellite height measurement gravity grid is N, and constructing grid sea depth terrain observation equations corresponding to the local sea area
Wherein, δ g sea,n Obtaining the nth satellite altimetry gravity value h in the local sea area for the satellite altimetry sea,n The method includes the steps that the number of the nth sea depth value to be measured in a local sea area is N, the satellite height measurement gravity grid data number in the local sea area is obtained through satellite height measurement, and N is 1, 2.
In the embodiment, the north-south measuring line and the east-west measuring line are mutually vertical, and the north-south length of the local sea area is 80 km-100 km; the east-west length of the local sea area is 80 km-100 km.
In this embodiment, the interval between the sampling points on the north-south survey line and the east-west survey line of the local sea area is not greater than 100 m.
When the invention is used, the test area is selected from the sea area of south China sea, the area range is set to be 15-16 degrees N, 115-117 degrees E, and the average sea depth of the test area is 4000 meters. The satellite height measurement gravity data adopts 1' resolution gravity data of a DTU10 model published by the university of Denmark science and technology and utilizes the EGM2008 model to convert the ground level into disturbance gravity, the gravity water depth data of south-north and east-west measuring lines are derived from the actual measurement data of the Chinese geological survey bureau of the department of natural resources, the sampling interval is 80 meters, and the grid ship measurement water depth data of the satellite height measurement check is derived from the American environment information center, which is shown in figure 2.
During calculation, the test area is divided into 2 areas, namely a test area I (15 degrees N-16 degrees N, 115 degrees E-116 degrees E) and a test area II (15 degrees N-16 degrees N, 116 degrees E-117 degrees E), according to the area range of 1 degree multiplied by 1 degree. Firstly, determining related parameters by adopting ship-borne gravity and water depth data of north-south and east-west measuring lines, and then inverting the submarine topography of the south sea area by utilizing the determined related parameters and satellite height measurement disturbance gravity data, wherein the density difference delta D between local seawater and the crust is 1.0g/cm 3 Referring to fig. 3 and 4, the results are compared with the existing ship sounding sea depth data in the same area and the international ETOPO1 sea depth model, and the values with the water depth difference larger than 1000 m are removed in the statistical result, and the specific results are shown in table 1.
TABLE 1 southern sea region submarine topography inversion results (m) based on nonlinear correlation parameters
According to the method, two mutually perpendicular gravity and water depth sequence measuring lines are obtained by carrying out north-south and east-west shipborne gravity water depth measurement in a local area, south-north and east-west nonlinear correlation function parameters are obtained by utilizing the two measuring lines and further fitting, and then the parameters are combined with satellite height measurement gravity data to invert the submarine topography of the corresponding area.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and all simple modifications, changes and equivalent structural changes made to the above embodiment according to the technical spirit of the present invention still fall within the protection scope of the technical solution of the present invention.
Claims (3)
1. The method for inverting the high-resolution submarine topography nonlinearity through the local sea area disturbance gravity data is characterized by comprising the following steps:
step one, obtaining ocean disturbance gravity data and water depth data of a south-north survey line and an east-west survey line of a local sea area: respectively acquiring ocean disturbance gravity data and water depth data sampling data sets of a north-south measuring line and an east-west measuring line passing through the center of a local sea area by adopting a shipborne gravity water depth measuring method, namely { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) And { (h) ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) Wherein { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) The sea disturbance gravity data and water depth data sampling data set of north and south survey lines, h sni For the ith sea depth sampling value on the north-south line, delta g sni The ith disturbance gravity sampling value on the north-south measuring line is represented by I, the number of sampling points on the north-south measuring line is represented by I, and I is 1,2 ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) The set of sampling data of ocean disturbance gravity data and water depth data of east-west measuring lines, h ewj For the jth sea depth sampling on east-west survey lineValue, δ g ewj J is the jth disturbed gravity sampling value on the east-west measuring line, J is the number of sampling points on the east-west measuring line, and J is 1, 2.
Step two, establishing a local sea area north-south measuring line and east-west measuring line observation equation set: establishing observation equation sets of local sea area north-south measuring lines and east-west measuring lines according to ocean disturbance gravity data and water depth data sampling data sets of north-south measuring lines and east-west measuring lines
Wherein, P sn1 、P sn2 And P sn3 Respectively are nonlinear correlation coefficients of a local sea area north-south line observation equation; p ew1 、P ew2 And P ew3 Respectively are nonlinear correlation coefficients of an east-west measuring line observation equation of a local sea area; delta D is a density difference parameter between local seawater and the crust;
solving nonlinear correlation coefficients in observation equation sets of the north-south measuring line and the east-west measuring line of the local sea area by adopting a least square fitting method;
acquiring nonlinear related parameters between local sea area disturbance gravity and submarine topography: according to the formula
Obtaining a nonlinear correlation parameter P between local sea area disturbance gravity and submarine topography 1 、P 2 And P 3 (ii) a Wherein,
is the weight of the north-south line-of-sight observations,
is the weight of the east-west line observation, an
Step five, inverting the grid sea depth corresponding to the local sea areaData: obtaining satellite height measurement gravity grid data in a local sea area by utilizing satellite height measurement, wherein the data volume of the satellite height measurement gravity grid is N, and constructing grid sea depth terrain observation equations corresponding to the local sea area
Wherein, δ g sea,n Obtaining the nth satellite altimetry gravity value h in the local sea area for the satellite altimetry sea,n The method includes the steps that the number of the nth sea depth value to be measured in a local sea area is N, the satellite height measurement gravity grid data number in the local sea area is obtained through satellite height measurement, and N is 1, 2.
2. The method for inverting the high-resolution submarine topography nonlinearity according to the local sea area disturbance gravity data of claim 1, wherein: the north-south measuring line and the east-west measuring line are mutually vertical, and the north-south length of the local sea area is 80-100 km; the east-west length of the local sea area is 80 km-100 km.
3. The method for inverting the high-resolution submarine topography nonlinearity according to the local sea area disturbance gravity data of claim 1, wherein: the interval between sampling points on the north-south measuring line and the east-west measuring line of the local sea area is not more than 100 m.
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