CN114814967B - High-resolution submarine topography nonlinear method for inversion of local sea area disturbance gravity data - Google Patents
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Abstract
The invention discloses a local sea area disturbance gravity data inversion high-resolution submarine topography nonlinear method, which comprises the following steps: 1. acquiring ocean disturbance gravity data and water depth data of a local sea area north-south survey line and an east-west survey line; 2. establishing a local sea area north-south line and east-west line observation equation set; 3. solving nonlinear correlation coefficients in a local sea area north-south line and east-west line observation equation set by adopting a least square fitting method; 4. acquiring nonlinear related parameters between local sea area disturbance gravity and submarine topography; 5. and inverting the grid sea depth data corresponding to the local sea area. According to the invention, the north-south direction and east-west direction shipborne gravity water depth measurement is carried out in a local area to obtain two mutually perpendicular gravity and water depth sequence measuring lines, the two measuring lines are used for fitting to obtain north-south direction and east-west direction 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 seabed topography nonlinear method for inversion of local sea area disturbance gravity data.
Background
The global wide sea area submarine topography is determined by adopting the technologies of ship-borne multi-beam measurement, satellite radar height measurement inversion and the like at present, and the sea depths in narrow waterways, offshore and beach areas are generally determined by adopting the technologies of ship-borne multi-beam, airborne laser sounding, multi-spectrum inversion and the like. The high-precision disturbance gravity/water depth data of a certain survey line of the ocean area can be obtained by simultaneously carrying out shipborne multi-beam measurement and gravity measurement, but the high-precision disturbance gravity/water depth data are limited by a measurement platform and ocean objective environmental conditions, and the shipborne measurement technology can only obtain limited data in a local area, so that the global uniform coverage is difficult to achieve. The sea satellite height measurement can acquire disturbance gravity data with the resolution of up to 1' worldwide in about 2.5 years by means of multi-satellite serial flight, a synthetic aperture altimeter and the like, and further can invert to obtain the sea floor topography with the corresponding resolution. At present, various national research institutions widely apply data such as shipborne sounding, satellite height measurement and the like to construct submarine topography models. In the inversion method of the submarine topography grid model, a gravity geology 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 linearized and then 1-order items are taken for calculation, and because high-order item factors between gravity and sea depth are ignored, the theoretical inversion precision is low. Meanwhile, although the numerical value of the grid model reaches 1' (about 1.8 km), the real resolution of the grid model is about 10-30km because 10-30km filter processing is often used in the grid construction process, so that the high-resolution inversion method of the ocean floor topography of the broad sea area still needs to be optimized and improved.
Disclosure of Invention
The invention aims to solve the technical problems of the prior art, and provides a local sea area disturbance gravity data inversion high-resolution seabed topography nonlinear method, which is characterized in that two mutually perpendicular gravity and water depth sequence measuring lines are obtained by carrying out north-south direction and east-west direction shipborne gravity water depth measurement on a local area, the two measuring lines are utilized to further fit and obtain north-south direction and east-west direction nonlinear correlation function parameters, and then the parameters are utilized to combine satellite height measurement gravity data to invert seabed topography of a corresponding area.
In order to solve the technical problems, the invention adopts the following technical scheme: the method for inverting the high-resolution submarine topography nonlinearity by using the local sea disturbance gravity data is characterized by comprising the following steps of:
step one, acquiring ocean disturbance gravity data and water depth data of a local sea area north-south survey line and an east-west survey line: respectively acquiring sea disturbance gravity data and water depth data sampling data sets passing through north-south line and east-west line of local sea area center, namely { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) Sum { (h) ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) Ocean disturbance gravity data and water depth data sampling data set of south and north survey lines, h sni For the ith sea depth sampling value on the north-south measuring line, δg sni For the I-th disturbance gravity sampling value on the north-south line, I is the sampling point number on the north-south line and i=1, 2 ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) Ocean disturbance gravity data and water depth data sampling data set of east-west line, h ewj For the j-th sea depth sampling value on east-west line, δg ewj J is the number of sampling points on the east-west line and j=1, 2;
step two, establishing a local sea area north-south survey line and east-west survey line observation equation set: establishing a local sea area north-south line and east-west line observation equation set according to ocean disturbance gravity data and water depth data sampling data sets of the north-south line and the east-west lineWherein P is sn1 、P sn2 And P sn3 Nonlinear correlation coefficients of the local sea area north-south survey line observation equation are respectively obtained; p (P) ew1 、P ew2 And P ew3 Nonlinear correlation coefficients of the east-west survey line observation equation of the local sea area are respectively obtained; Δd is a density difference parameter between the local seawater and the crust;
thirdly, solving nonlinear correlation coefficients in a local sea area north-south line and east-west line observation equation set by adopting a least square fitting method;
step four, acquiring nonlinear related parameters between the disturbance gravity of the local sea area and the submarine topography: according to the formulaAcquiring nonlinear related parameters P between local sea area disturbance gravity and submarine topography 1 、P 2 And P 3 The method comprises the steps of carrying out a first treatment on the surface of the Wherein (1)>Weight for north-south line observations, +.>Weights for east-west line observations, and +.>
Step five, inverting grid sea depth data corresponding to the local sea area: satellite height measurement gravity grid data in the local sea area are obtained by using satellite height measurement, the number of the satellite height measurement gravity grid data is N, and a grid sea depth topography observation equation corresponding to the local sea area is constructedWherein δg sea,n Obtaining a local sea area nth satellite height measurement gravity value for satellite height measurement, h sea,n And (3) obtaining satellite height measurement gravity grid data numbers in the local sea area for the nth sea depth value to be measured in the local sea area, wherein N is satellite height measurement, and n=1, 2.
The high-resolution submarine topography nonlinear method for inverting the local sea area disturbance gravity data is characterized by comprising the following steps of: the north-south line and the east-west line are perpendicular to each other, 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 high-resolution submarine topography nonlinear method for inverting the local sea area disturbance gravity data is characterized by comprising the following steps of: and the sampling point interval on the north-south line and the east-west line of the local sea area is not more than 100m.
The method has the beneficial effects that obvious nonlinear correlation function characteristics exist between disturbance gravity data and terrains, so that a simple and feasible solving method is provided for wide sea area high-resolution submarine topography inversion by utilizing sparse priori ship measurement data and dense satellite height measurement disturbance gravity data inversion nonlinear correlation function models, the problems of long time and difficult workload caused by realizing submarine topography measurement with the resolution of 1km or even hundreds of meters in the global sea area by utilizing a ship-borne measuring means are solved, and the method is convenient to popularize and use.
The technical scheme of the invention is further described in detail through the drawings and the embodiments.
Drawings
FIG. 1 is a block flow diagram of the method of the present invention.
Fig. 2 is a gray scale of the distribution of the data of the water depth measured by the grid ship for satellite height measurement and inspection in this embodiment.
FIG. 3 is an inverted high resolution seafloor topography gray scale map of the first experimental zone of this embodiment.
FIG. 4 is an inverted high resolution seafloor topography gray scale map for test zone two of this example.
Detailed Description
As shown in fig. 1, the local sea disturbance gravity data inversion high-resolution seabed topography nonlinear method comprises the following steps:
step one, acquiring ocean disturbance gravity data and water depth data of a local sea area north-south survey line and an east-west survey line: respectively acquiring a north-south survey line and a east-west survey line passing through the center of a local sea area by adopting a shipborne gravity water depth measurement methodSea disturbance gravity data and water depth data sampling data set of survey line, namely { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) Sum { (h) ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) Ocean disturbance gravity data and water depth data sampling data set of south and north survey lines, h sni For the ith sea depth sampling value on the north-south measuring line, δg sni For the I-th disturbance gravity sampling value on the north-south line, I is the sampling point number on the north-south line and i=1, 2 ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) Ocean disturbance gravity data and water depth data sampling data set of east-west line, h ewj For the j-th sea depth sampling value on east-west line, δg ewj J is the number of sampling points on the east-west line and j=1, 2;
step two, establishing a local sea area north-south survey line and east-west survey line observation equation set: establishing a local sea area north-south line and east-west line observation equation set according to ocean disturbance gravity data and water depth data sampling data sets of the north-south line and the east-west lineWherein P is sn1 、P sn2 And P sn3 Nonlinear correlation coefficients of the local sea area north-south survey line observation equation are respectively obtained; p (P) ew1 、P ew2 And P ew3 Nonlinear correlation coefficients of the east-west survey line observation equation of the local sea area are respectively obtained; Δd is a density difference parameter between the local seawater and the crust;
thirdly, solving nonlinear correlation coefficients in a local sea area north-south line and east-west line observation equation set by adopting a least square fitting method;
step four, acquiring nonlinear related parameters between the disturbance gravity of the local sea area and the submarine topography: according to the formulaAcquiring nonlinear related parameters P between local sea area disturbance gravity and submarine topography 1 、P 2 And P 3 The method comprises the steps of carrying out a first treatment on the surface of the Wherein (1)>Weight for north-south line observations, +.>Weights for east-west line observations, and +.>
Step five, inverting grid sea depth data corresponding to the local sea area: satellite height measurement gravity grid data in the local sea area are obtained by using satellite height measurement, the number of the satellite height measurement gravity grid data is N, and a grid sea depth topography observation equation corresponding to the local sea area is constructedWherein δg sea,n Obtaining a local sea area nth satellite height measurement gravity value for satellite height measurement, h sea,n And (3) obtaining satellite height measurement gravity grid data numbers in the local sea area for the nth sea depth value to be measured in the local sea area, wherein N is satellite height measurement, and n=1, 2.
In this embodiment, the north-south line and the east-west line are perpendicular to each other, and the north-south length of the local sea area is 80km to 100km; the east-west length of the local sea area is 80 km-100 km.
In this embodiment, the sampling point interval on the north-south line and the east-west line of the local sea area is not greater than 100m.
When the invention is used, the test area is selected as the south China sea area, the area range is set to 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 issued by Danish university of science and technology and converts the gravity water depth data of north-south and east-west survey lines into disturbance gravity by using an EGM2008 model ground level, the gravity water depth data of south-north and east-west survey lines are derived from actual measurement data of China geological survey bureau of the natural resource department, sampling intervals are 80 meters, and the grid ship water depth data of satellite height measurement and check is derived from an environmental information center in the United states, as shown in figure 2.
In calculation, the test area is divided into 2 areas, namely a test area I (15-16 DEG N, 115-116 DEG E) and a test area II (15-16 DEG N, 116-117 DEG E) according to the area range of 1 DEG x 1 deg. Firstly, determining related parameters by using data of the ship gravity and the water depth of the north-south and east-west survey lines, and then inverting the submarine topography of the south sea area by using the determined related parameters and satellite height measurement disturbance gravity data, wherein the density difference delta D between the local sea water and the crust is 1.0g/cm 3 See fig. 3 and 4, and comparing the results with the existing ship measured sea depth data and the internationally published ETOPO1 sea depth model in the same area, and removing the numerical value with the water depth difference larger than 1000 meters when the results are counted, wherein the specific results are shown in table 1.
TABLE 1 results of inversion of seafloor topography in the south China sea area (m) based on nonlinear correlation parameters
According to the method, the south-north direction and east-west direction shipborne gravity water depth measurement is carried out in a local area to obtain two mutually perpendicular gravity and water depth sequence measuring lines, the two measuring lines are used for fitting to obtain south-north direction and east-west direction 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.
The foregoing description is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and any simple modification, variation and equivalent structural changes made to the above embodiment according to the technical substance of the present invention still fall within the scope of the technical solution of the present invention.
Claims (3)
1. The method for inverting the high-resolution submarine topography nonlinearity by using the local sea disturbance gravity data is characterized by comprising the following steps of:
step one, acquiring ocean disturbance gravity data and water depth data of a local sea area north-south survey line and an east-west survey line: respectively acquiring sea disturbance gravity data and water depth data sampling data sets passing through north-south line and east-west line of local sea area center, namely { (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) Sum { (h) ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) (h) sn1 ,δg sn1 ),(h sn2 ,δg sn2 ),...,(h sni ,δg sni ),...,(h snI ,δg snI ) Ocean disturbance gravity data and water depth data sampling data set of south and north survey lines, h sni For the ith sea depth sampling value on the north-south measuring line, δg sni For the I-th disturbance gravity sampling value on the north-south line, I is the sampling point number on the north-south line and i=1, 2 ew1 ,δg ew1 ),(h ew2 ,δg ew2 ),...,(h ewj ,δg ewj ),...,(h ewJ ,δg ewJ ) Ocean disturbance gravity data and water depth data sampling data set of east-west line, h ewj For the j-th sea depth sampling value on east-west line, δg ewj J is the number of sampling points on the east-west line and j=1, 2;
step two, establishing a local sea area north-south survey line and east-west survey line observation equation set: ocean disturbance gravity data based on north-south and east-west linesEstablishing a local sea area north-south line and east-west line observation equation set with a water depth data sampling data setWherein P is sn1 、P sn2 And P sn3 Nonlinear correlation coefficients of the local sea area north-south survey line observation equation are respectively obtained; p (P) ew1 、P ew2 And P ew3 Nonlinear correlation coefficients of the east-west survey line observation equation of the local sea area are respectively obtained; Δd is a density difference parameter between the local seawater and the crust;
thirdly, solving nonlinear correlation coefficients in a local sea area north-south line and east-west line observation equation set by adopting a least square fitting method;
step four, acquiring nonlinear related parameters between the disturbance gravity of the local sea area and the submarine topography: according to the formulaAcquiring nonlinear related parameters P between local sea area disturbance gravity and submarine topography 1 、P 2 And P 3 The method comprises the steps of carrying out a first treatment on the surface of the Wherein (1)>Weight for north-south line observations, +.>Weights for east-west line observations, and +.>
Step five, inverting grid sea depth data corresponding to the local sea area: satellite height measurement gravity grid data in the local sea area are obtained by using satellite height measurement, the number of the satellite height measurement gravity grid data is N, and a grid sea depth topography observation equation corresponding to the local sea area is constructedWherein δg sea,n Obtaining a local sea area nth satellite height measurement gravity value for satellite height measurement, h sea,n And (3) obtaining satellite height measurement gravity grid data numbers in the local sea area for the nth sea depth value to be measured in the local sea area, wherein N is satellite height measurement, and n=1, 2.
2. A method of inverting high resolution seafloor topography nonlinearity from local sea disturbance gravity data as recited in claim 1, wherein: the north-south line and the east-west line are perpendicular to each other, 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.
3. A method of inverting high resolution seafloor topography nonlinearity from local sea disturbance gravity data as recited in claim 1, wherein: and the sampling point interval on the north-south line and the east-west line of the local sea area is not more than 100m.
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