CN111488691A - Three-dimensional mesoscale vortex tracking method - Google Patents
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Abstract
The invention relates to a three-dimensional mesoscale vortex tracking method which mainly comprises the processes of calculating a three-dimensional mesoscale vortex centroid and tracking a three-dimensional mesoscale vortex based on the centroid. And (3) enabling the three-dimensional mesoscale vortex to be equivalent to a plurality of circular truncated cones according to the depths of the three-dimensional mesoscale vortex, and calculating the mass centers of the circular truncated cones so as to obtain the three-dimensional mesoscale vortex mass centers. Respectively tracking the three-dimensional anti-cyclone vortex and the gas vortex by adopting a minimum three-dimensional distance method based on the three-dimensional mesoscale vortex center until the track is finished, and establishing a long-time sequence three-dimensional mesoscale vortex tracking data set. The method takes the three-dimensional mesoscale vortex as a whole to track the three-dimensional motion track of the three-dimensional mesoscale vortex, realizes automatic tracking of the three-dimensional mesoscale vortex, breaks through the limitation of layered tracking, is beneficial to analyzing the motion and life cycle rules of the three-dimensional mesoscale vortex, is beneficial to analyzing the mutual influence between the three-dimensional mesoscale vortex structure and the motion track of the three-dimensional mesoscale vortex structure, and lays a foundation for deeply researching the characteristics of the three-dimensional mesoscale vortex.
Description
Technical Field
The invention relates to the technical field of ocean remote sensing and information, in particular to a method for tracking an ocean mesoscale vortex.
Background
The mesoscale ocean eddy is an important feature of the marine environment and has important influence on marine fishery, marine environment and marine military activities. Surface mesoscale vortex research is relatively mature, but the three-dimensional characteristics of mesoscale vortices still need to be studied deeply.
The study of three-dimensional mesoscale vortices includes: the method mainly aims at analyzing the structure of the three-dimensional mesoscale vortex and hydrological characteristics such as temperature and salinity, and the like, and the tracking method of the three-dimensional vortex is less involved. At present, the tracking method of the three-dimensional mesoscale vortex mainly comprises the following steps: firstly, individual three-dimensional vortex is tracked by utilizing buoys, submerged buoys and the like; and secondly, tracking vortex tracks at different depths in a layering mode. The tracking of individual three-dimensional mesoscale vortexes is mostly carried out in the marine test process, the observed data volume and time are limited, the large-scale and long-time tracking and observation cannot be carried out, and the automatic tracking of the three-dimensional mesoscale vortexes cannot be realized. The layered tracking method can only establish a two-dimensional vortex tracking track with discrete depth, only represents the movement track of vortices at different depths, but cannot represent the movement characteristics of a three-dimensional mesoscale vortex whole body, cannot analyze the influence of a three-dimensional mesoscale vortex structure on the movement track and the life cycle of the three-dimensional mesoscale vortex structure, and cannot analyze the influence of the movement of the three-dimensional mesoscale vortex structure on the structure characteristics of the three-dimensional mesoscale vortex structure, so that the one-sidedness and the limitation of the three-dimensional mesoscale vortex attribute characteristic research are caused.
Disclosure of Invention
In view of the above problems in the prior art, the applicant of the present invention provides a three-dimensional mesoscale vortex tracking method. The invention can realize the automatic tracking of the three-dimensional mesoscale vortex, breaks through the limitation of tracking different depths of vortex in a layering way, and tracks the three-dimensional mesoscale vortex as a whole to obtain the complete three-dimensional tracking track. The method establishes the three-dimensional mesoscale vortex motion trail, is favorable for exploring the life cycle rule and the motion characteristics of the three-dimensional mesoscale vortex, is favorable for analyzing the mutual influence relationship between the three-dimensional mesoscale vortex structure and the motion trail thereof, and has practicability and effectiveness.
The technical scheme of the invention is as follows:
a method of three-dimensional mesoscale vortex tracking, the method comprising the steps of:
(1) calculating three-dimensional mesoscale vortex centroid
The identified three-dimensional mesoscale vortexes are equivalent to a plurality of circular truncated cones according to the depths of the three-dimensional mesoscale vortexes, and the three-dimensional mesoscale vortex centroid is obtained by calculating the centroids of the circular truncated cones;
(2) three-dimensional mesoscale vortex based on centroid tracking
(2a) Defining a plane search area S;
(2b) the centroid of a certain three-dimensional mesoscale vortex E0 at the time t is sigmaE0＝(lonE0，latE0，depthE0) Searching a three-dimensional mesoscale vortex mass center to be tracked, wherein the t +1 moment of the same type of three-dimensional gas vortex or three-dimensional inverse gas vortex falls into a plane search area S;
(2c) if a plurality of three-dimensional mesoscale vortex centroids fall in the S region at the time t +1, calculating a three-dimensional distance D between the centroid of the three-dimensional mesoscale vortex Ei falling in the S region and the centroid of the three-dimensional vortex E0 at the time tiSelecting the three-dimensional mesoscale vortex with the minimum distance as Ej, judging that Ej and E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortex E0 at the time t and the three-dimensional mesoscale vortex Ej at the time t +1, pointing to the mass center of Ej through the mass center of E0, and updating the track information of the three-dimensional mesoscale vortex E0 by utilizing the information of the three-dimensional mesoscale vortex Ej; if no corresponding three-dimensional mesoscale vortex center of mass falls in the S region at the time of t +1, the tracking of the three-dimensional mesoscale vortex E0 is considered to be finished;
(2d) continuously tracking the motion track of the three-dimensional mesoscale vortex based on the centroid of the three-dimensional mesoscale vortex Ej according to the steps (2b) to (2c) until the tracking track is finished;
(2e) and (3) from the initial time of the data, respectively tracking the motion tracks of the three-dimensional gas vortex or the three-dimensional inverse gas vortex according to the steps (2b) to (2d), and establishing a long-time series three-dimensional mesoscale vortex tracking data set.
In the preferred scheme, the calculation method of the three-dimensional mesoscale vortex centroid comprises the following steps:
the depth of m layers of a certain three-dimensional mesoscale vortex E0 is h1、h2、…、hmVortex radius at different depths is R1、R2、…、Rm(ii) a H is to be1Deep vortex and h2The depth vortex is equivalent to a round platform A, and the round platform A is considered as a uniform water body, namely the seawater density in the round platform is the same; wherein m is more than or equal to 2;
take the circular truncated cone A as an example, the center of the upper bottom surface is P1(lon1, lat1) with a radius R1Depth h1The center of the lower bottom surface is P2(lon2, lat2) with a radius R2Depth h2The center of mass r1 of the circular truncated cone a (lon)r1，latr1,depthr1) And a mass m1, calculated as follows:
m1＝ρ1×V1
wherein rho 1 is the density of the water body in the circular truncated cone A;
v1 is the truncated cone volume, calculated as:
definition h2～h3、h3～h4…、hm-1～hmThe center of mass ri and the mass mi of each circular truncated cone are respectively calculated according to the methods B, C and ….
Three-dimensional mesoscale eddy E0 centroid sigmaE0＝(lonE0，latE0，depthE0) Calculated as follows:
wherein, n-m-1 is the number of the equivalent round tables.
In step (2a), the search area S is a circular area with a radius of 50 km.
In the step (2b), the mass center of a certain three-dimensional mesoscale vortex E0 at the time t is sigmaE0＝(lonE0，latE0，depthE0) Then, the search area S is (lon)E0，latE0) And searching a three-dimensional mesoscale vortex mass center which is a circular area with the circle center and the radius of 50km and falls in the S at the moment of t + 1.
In the step (2c), if K (K is more than or equal to 1) three-dimensional mesoscale vortex centroids fall in the region S at the moment of t +1, calculating the centroid sigma of each three-dimensional mesoscale EiEi＝(lonEi，latEi，depthEi) Distance D from the centroid of the three-dimensional mesoscale vortex E0i，
Selecting the three-dimensional mesoscale Ej with the minimum distance to judge that the three-dimensional mesoscale Ej and E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortices E0 and Ej, pointing the E0 centroid to the Ej centroid, and updating the track information of the three-dimensional mesoscale vortices E0 by utilizing Ej information; and if no three-dimensional mesoscale vortex center of mass falls into the region S at the moment t +1, the three-dimensional mesoscale vortex E0 is considered to be tracked to end the track.
In the step (2d), the three-dimensional mesoscale vortex motion locus at the subsequent time is continuously tracked according to the steps (2b) to (2c) based on the three-dimensional mesoscale vortex Ej centroid at the time t +1 until the tracking locus is finished.
The beneficial technical effects of the invention are as follows:
the three-dimensional mesoscale vortex tracking technology is a minimum three-dimensional distance tracking method based on a three-dimensional mesoscale vortex centroid, the three-dimensional mesoscale vortex is taken as an integral structure to be researched, automatic tracking of the three-dimensional mesoscale vortex in a long time and large range can be realized, and a three-dimensional mesoscale vortex tracking track is established. The method breaks through the limit of individual vortex tracking and layered vortex tracking research, provides a new method for tracking the three-dimensional mesoscale vortex, more delicately and completely represents the whole motion track of the three-dimensional mesoscale vortex, has practicability and effectiveness, and lays a foundation for deeply researching the characteristics of the three-dimensional mesoscale vortex.
Drawings
FIG. 1 is a flow chart of a three-dimensional mesoscale vortex tracking method;
FIG. 2 is a schematic diagram of a three-dimensional mesoscale vortex centroid calculation;
FIG. 3 is an example of three-dimensional anti-cyclonic vortex at 24/8/2008;
FIG. 4 shows a three-dimensional anti-cyclonic vortex tracking trajectory from 24/2008 to 25/2008 and a three-dimensional anti-cyclonic vortex structure from 8/2008 to 25/2008;
fig. 5 shows a three-dimensional anti-gas vortex full-life tracking trajectory from 24 days at 2008 to 31 days at 2008, and a three-dimensional anti-gas vortex structure at 31 days at 2008.
Detailed Description
The present invention will be described in detail with reference to the accompanying drawings and examples.
Referring to fig. 1, a flow of a three-dimensional mesoscale vortex tracking method may include the following steps:
step 101: and calculating the three-dimensional mesoscale vortex centroid.
As shown in FIG. 2, a three-dimensional meso-scale eddy diagram E0 includes 4 layers each having a depth h1、h2、h3、h4Vortex radius at different depths is R1、R2、R3、R4(ii) a H is to be1Deep vortex and h2The depth vortex is equivalent to a round platform A, and the round platform A is considered as a uniform water body, namely the seawater density in the round platform is the same.
Take the circular truncated cone A as an example, the center of the upper bottom surface is P1(lon1, lat1), radius R1Depth h1The center of the lower bottom surface is P2(lon2, lat2) with a radius R2Depth h2. The center of mass (r 1 in fig. 2) r1 ═ lon (lon) of the circular truncated cone ar1，latr1，depthr1) And a mass m1, calculated as follows:
m1＝ρ1×V1
wherein rho 1 is the density of the water body in the circular truncated cone A, and V1 is the volume of the circular truncated cone and is calculated according to the following formula:
definition h2～h3、h3～h4The mass center ri and the mass mi of each circular truncated cone are respectively calculated according to the method for the circular truncated cones B, C.
Three-dimensional mesoscale eddy E0 centroid sigmaE0＝(lonE0，latE0，depthE0) Calculated as follows:
wherein n is 3, which is the number of equivalent round tables.
Step 102: three-dimensional mesoscale vortex based on centroid tracking
(1) S is defined as a circular area with a radius of 50 km.
(2) the centroid of a certain three-dimensional mesoscale vortex E0 at the time t is sigmaE0＝(lonE0，latE0，depthE0) In time, search forThe cord region S is (lon)E0，latE0) And searching a three-dimensional mesoscale vortex mass center which is a circular area with the circle center and the radius of 50km and falls in the S at the moment of t + 1.
(3) If t +1 is followed by K (K)>1) three-dimensional mesoscale vortex centroids fall in the region S, and the centroid sigma of each three-dimensional mesoscale vortex Ei is calculatedEi＝(lonEi，latEi，depthEi) And selecting the vortex Ej with the minimum distance from the centroid of the three-dimensional mesoscale vortex E0, judging that the vortex Ej and the E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortex E0 and the vortex Ej, pointing the E0 centroid to the Ej centroid, and updating the track information of the three-dimensional mesoscale vortex E0 by utilizing Ej information. The distance Di between the centroids of the three-dimensional mesoscale vortices Ei and E0 is calculated as follows:
and if no three-dimensional vortex center of mass falls into the region S at the moment of t +1, the three-dimensional mesoscale vortex E0 is considered to track the track to be finished.
(4) And (4) continuously tracking the motion track of the three-dimensional mesoscale vortex at the subsequent moment based on the centroid of the three-dimensional mesoscale vortex Ej at the moment t +1 according to the steps (2) to (3) until the tracking track is finished.
(5) And (3) from the initial time of the data, respectively tracking the motion tracks of the three-dimensional gas vortex and the reversed gas vortex according to the steps (2) to (4), and establishing a long-time series three-dimensional mesoscale vortex tracking data set.
Example 1
A method of three-dimensional mesoscale vortex tracking, the method comprising the steps of:
step 101: a three-dimensional anti-cyclone vortex centroid is calculated.
A three-dimensional reverse air vortex E0 (shown in figure 3) in 24 days 8.2008, the depth of the vortex E0 is 35 layers from 0m, -2m, -4m, … to-1500 m, the vortex boundary with different depths from 0m to-1500 m is of a ring structure in figure 3, and the radii of the vortex boundary are R1、R2、…、R35。
The vortex with the depth of 0m and the vortex with the depth of-2 m are equivalent to a circular truncated cone A, and the circular truncated cone A is considered as a uniform water body, namelyThe seawater density in the round table is the same. Taking it as an example, the center of the upper bottom surface is P1(160.10813 degrees, 26.22545 degrees) and a radius R132.590km, depth 0m, bottom center P2(160.10852 degrees, 26.22523 degrees) and a radius R232.653km with a depth of-2 m. Center of mass r1 (lon) of the circular truncated cone ar1，latr1，depthr1) And a mass m1, calculated as follows:
m1＝ρ1×V1＝6883429.32×106kg
wherein rho 1 is the density of the water body in the circular truncated cone, and rho 1 is 1030kg/m3(ii) a V1 is the volume of the truncated cone A, and is calculated according to the following formula:
and respectively calculating the mass centers and the masses of other equivalent round tables according to the method.
The three-dimensional mesoscale vortex E0 centroid sigmaE0＝(lonE0，latE0，depthE0) Calculated as:
wherein n is 34, which is the number of equivalent round tables.
Step 102: tracking the three-dimensional anti-cyclonic vortex based on the centroid
(1) A planar search area S is defined, which is defined by the present technique as a circular area with a radius of 50 km.
(2) The three-dimensionCenter of mass of the reverse vortex is sigmaE0The search area S is a circular area with (160.12497 °, 26.21531 °) as the center and 50km as the radius, and searches for the centroid of the three-dimensional anti-cyclone vortex to be tracked, which falls within S at 25 sunset 8/2008.
(3) The centroids of 2 three-dimensional anti-cyclone vortexes E1 and E2 are found to fall in the region S, which is rE1＝(lonE1，latE1，depthE1) -696.69414m and r (160.02554 °, 26.36520 °, — 696.69414m)E2＝(lonE2，latE2，depthE2) -747.55429m (160.07033 °, 26.23317 °, -747.55429). Respectively calculating the distance D between the three-dimensional anti-cyclone vortexes E1, E2 and E01、D2Calculated as follows:
comparison can give D1＞D2Then, the three-dimensional anti-cyclone vortex E2 of 25/8/2008 and the three-dimensional anti-cyclone vortex E0 of 24/8/2008 are considered to belong to the same three-dimensional mesoscale vortex, the trajectory link between E2 and E0 is that the centroid of E0 points to the centroid of E2, and the trajectory information of the three-dimensional anti-cyclone vortex E0 is updated by using the vortex E2 information. Fig. 4 shows the tracking trajectory between E0 and E2 and the three-dimensional anti-cyclone vortex structure at 8/25/2008.
(4) Based on the center of mass of the three-dimensional mesoscale vortex E2 in 8/25 th year in 2008, the three-dimensional anti-cyclone vortex motion track in 26 th year in 2008 is continuously tracked according to the steps (2) to (3) until the tracking track is finished.
The three-dimensional anti-gas vortex E0 on 24 th 2008 has a trajectory end date of 31 th 2008 10 th, as tracked by the above steps (2) to (4), and fig. 5 shows a three-dimensional movement trajectory from 24 th 2008 to 31 th 2008 10 th and the three-dimensional anti-gas vortex structure on 31 th 2008 10 th.
(5) And (3) from the initial time of the data, respectively tracking the motion tracks of the three-dimensional gas vortex and the reversed gas vortex according to the steps (2) to (4), and establishing a long-time series three-dimensional mesoscale vortex tracking data set.
Claims (6)
1. A method of three-dimensional mesoscale vortex tracking, the method comprising the steps of:
(1) calculating three-dimensional mesoscale vortex centroid
The identified three-dimensional mesoscale vortexes are equivalent to a plurality of circular truncated cones according to the depths of the three-dimensional mesoscale vortexes, and the three-dimensional mesoscale vortex centroid is obtained by calculating the centroids of the circular truncated cones;
(2) three-dimensional mesoscale vortex based on centroid tracking
(2a) Defining a plane search area S;
(2b) the centroid of a certain three-dimensional mesoscale vortex E0 at the time t is sigmaE0＝(lonE0，latE0，depthE0) Searching a three-dimensional mesoscale vortex mass center to be tracked, wherein the t +1 moment of the same type of three-dimensional gas vortex or three-dimensional inverse gas vortex falls into a plane search area S;
(2c) if a plurality of three-dimensional mesoscale vortex centroids fall in the S region at the time t +1, calculating a three-dimensional distance D between the centroid of the three-dimensional mesoscale vortex Ei falling in the S region and the centroid of the three-dimensional vortex E0 at the time tiSelecting the three-dimensional mesoscale vortex with the minimum distance as Ej, judging that Ej and E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortex E0 at the time t and the three-dimensional mesoscale vortex Ej at the time t +1, pointing to the mass center of Ej through the mass center of E0, and updating the track information of the three-dimensional mesoscale vortex E0 by utilizing the information of the three-dimensional mesoscale vortex Ej; if no corresponding three-dimensional mesoscale vortex center of mass falls in the S region at the time of t +1, the tracking of the three-dimensional mesoscale vortex E0 is considered to be finished;
(2d) continuously tracking the motion track of the three-dimensional mesoscale vortex based on the centroid of the three-dimensional mesoscale vortex Ej according to the steps (2b) to (2c) until the tracking track is finished;
(2e) and (3) from the initial time of the data, respectively tracking the motion tracks of the three-dimensional gas vortex or the three-dimensional inverse gas vortex according to the steps (2b) to (2d), and establishing a long-time series three-dimensional mesoscale vortex tracking data set.
2. The three-dimensional mesoscale vortex tracking method according to claim 1, wherein the calculation method of the three-dimensional mesoscale vortex centroid is as follows:
the depth of m layers of a certain three-dimensional mesoscale vortex E0 is h1、h2、...、hmVortex radius at different depths is R1、R2、...、Rm(ii) a H is to be1Deep vortex and h2The depth vortex is equivalent to a round platform A, and the round platform A is considered as a uniform water body, namely the seawater density in the round platform is the same; wherein m is more than or equal to 2;
take the circular truncated cone A as an example, the center of the upper bottom surface is P1(lon1, lat1) with a radius R1Depth h1The center of the lower bottom surface is P2(lon2, lat2) with a radius R2Depth h2The center of mass r1 of the circular truncated cone a (lon)r1，latr1，depthr1) And a mass m1, calculated as follows:
m1＝p1×V1
wherein p1 is the density of the water body in the circular truncated cone A;
v1 is the truncated cone volume, calculated as:
definition h2～h3、h3～h4...、hm-1～hmThe mass center ri and the mass mi of each circular truncated cone are respectively calculated according to the method, wherein the mass center ri and the mass mi of each circular truncated cone are respectively B, C.
Three-dimensional mesoscale eddy E0 centroid sigmaE0＝(lonE0，latE0，depthE0) Calculated as follows:
wherein, n-m-1 is the number of the equivalent round tables.
3. The method of claim 1, wherein in step (2a), the search area S is a circular area with a radius of 50 km.
4. The method of claim 1, wherein in step (2b), the centroid of the three-dimensional mesoscale vortex E0 at time t is σE0＝(lonE0，latE0，depthE0) Then, the search area S is (lon)E0，latE0) And searching a three-dimensional mesoscale vortex mass center which is a circular area with the circle center and the radius of 50km and falls in the S at the moment of t + 1.
5. The method for tracking three-dimensional meso-scale vortexes according to claim 1, wherein in the step (2c), if K (K ≧ 1) three-dimensional meso-scale vortex centroids fall in the region S at the moment of t +1, each three-dimensional meso-scale Ei centroid σ is calculatedEi＝(lonEi，latEi，depthEi) Distance D from the centroid of the three-dimensional mesoscale vortex E0i，
Selecting the three-dimensional mesoscale Ej with the minimum distance to judge that the three-dimensional mesoscale Ej and E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortices E0 and Ej, pointing the E0 centroid to the Ej centroid, and updating the track information of the three-dimensional mesoscale vortices E0 by utilizing Ej information; and if no three-dimensional mesoscale vortex center of mass falls into the region S at the moment t +1, the three-dimensional mesoscale vortex E0 is considered to be tracked to end the track.
6. The method for tracking the three-dimensional mesoscale vortex according to claim 1, wherein in the step (2d), the three-dimensional mesoscale vortex motion trajectory at the subsequent time is continuously tracked according to the steps (2b) to (2c) based on the centroid of the three-dimensional mesoscale vortex Ej at the time t +1 until the tracking trajectory is finished.
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