CN111488691B - 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 the mass center of a three-dimensional mesoscale vortex and tracking the three-dimensional mesoscale vortex based on the mass center. And (3) the three-dimensional mesoscale vortex is equivalent to a plurality of circular tables according to the depth, and the mass centers of the circular tables are calculated so as to obtain the three-dimensional mesoscale vortex mass centers. And tracking the three-dimensional anti-cyclone vortex and the air vortex by adopting a minimum three-dimensional distance method based on the three-dimensional mesoscale vortex centroid until the track is ended, and establishing a three-dimensional mesoscale vortex tracking data set with a long time sequence. According to the method, the three-dimensional mesoscale vortex is taken as a whole to track the three-dimensional motion track, so that the automatic tracking of the three-dimensional mesoscale vortex is realized, the limitation of layered tracking is broken, the motion and life cycle rules of the three-dimensional mesoscale vortex are analyzed, the interaction between the three-dimensional mesoscale vortex structure and the motion track is analyzed, and a foundation is laid for deep research on 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 tracking method of ocean mesoscale vortex.
Background
Ocean mesoscale vortices are important features of the ocean environment, which have an important impact on ocean fishery, ocean environments, and ocean military operations. Surface mesoscale eddy studies are relatively mature, but the three-dimensional characteristics of mesoscale eddy still need to be studied in depth.
The study of three-dimensional mesoscale vortices includes: the three-dimensional mesoscale vortex characteristic comprehensive analysis research based on the measured data, the three-dimensional mesoscale vortex characteristic comprehensive analysis research based on the satellite data and the Argo buoy data and the three-dimensional mesoscale vortex research based on the mode data are mainly used for analyzing hydrologic characteristics such as structures of the three-dimensional mesoscale vortex and warm salt, and the tracking method of the three-dimensional vortex is less involved. The current tracking method of the three-dimensional mesoscale vortex mainly comprises the following steps: tracking individual three-dimensional vortex by using buoys, submerged buoy and the like; and secondly, tracking vortex tracks with different depths in a layering manner. The tracking of individual three-dimensional mesoscale vortex is mostly carried out in the marine test process, the observation data amount and time are limited, the large-scale and long-time tracking observation cannot be realized, and the automatic tracking of the three-dimensional mesoscale vortex cannot be realized. The layered tracking method can only establish a two-dimensional vortex tracking track with discrete depth, only represents the motion track of the vortex at different depths, but cannot represent the motion characteristics of the whole three-dimensional mesoscale vortex, cannot analyze the influence of the three-dimensional mesoscale vortex structure on the motion track and the life cycle of the three-dimensional mesoscale vortex, cannot analyze the influence of the motion of the three-dimensional mesoscale vortex on the structural characteristics of the three-dimensional mesoscale vortex, and causes the unilaterality and limitation of the research of the three-dimensional mesoscale vortex attribute characteristics.
Disclosure of Invention
In view of the above problems in the prior art, the applicant provides a three-dimensional mesoscale vortex tracking method. According to the invention, the three-dimensional mesoscale vortex can be automatically tracked, meanwhile, the limitation of layered tracking of vortex with different depths is broken through, and the three-dimensional mesoscale vortex is tracked as a whole to obtain a complete three-dimensional tracking track. The method establishes the three-dimensional mesoscale vortex motion trail, is beneficial to exploring the life cycle rule and the motion characteristics of the three-dimensional mesoscale vortex, is beneficial to analyzing the mutual influence relationship between the three-dimensional mesoscale vortex structure and the motion trail, 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 a three-dimensional mesoscale vortex centroid
The identified three-dimensional mesoscale vortex is equivalent to a plurality of circular tables according to the depth, and the center of mass of the circular tables is calculated to obtain the three-dimensional mesoscale vortex center of mass;
(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 moment t is sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) Searching the mass center of the three-dimensional mesoscale vortex to be tracked, which falls in the plane searching area S at the time t+1 of the three-dimensional gas vortex or the three-dimensional reverse gas vortex of the same type;
(2c) If a plurality of three-dimensional mesoscale vortex centroids fall in the region S at the time t+1, calculating a three-dimensional distance D between the three-dimensional mesoscale vortex Ei centroids falling in the region S and the three-dimensional vortex E0 centroids at the time t i Selecting a three-dimensional mesoscale vortex with the smallest distance as an Ej, judging that the Ej and the E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortex E0 at the moment t and the three-dimensional mesoscale vortex Ej at the moment t+1, pointing the mass center of the E0 to the mass center of the Ej, 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 centroid falls in the S region at the time t+1, the tracking of the three-dimensional mesoscale vortex E0 track is considered to be finished;
(2d) Tracking the motion track of the three-dimensional mesoscale vortex according to the steps (2 b) - (2 c) based on the mass center of the three-dimensional mesoscale vortex Ej until the tracking track is ended;
(2e) And (3) tracking the motion trail of the three-dimensional gas vortex or the three-dimensional reverse gas vortex according to the steps (2 b) - (2 d) from the data starting time, and establishing a three-dimensional mesoscale vortex tracking data set of a long-time sequence.
Preferably, the method for calculating the three-dimensional mesoscale vortex mass center comprises the following steps:
some three-dimensional mesoscale vortex E0 comprises m layers with depth of h respectively 1 、h 2 、…、h m The vortex radius at different depths is R respectively 1 、R 2 、…、R m The method comprises the steps of carrying out a first treatment on the surface of the Will h 1 Deep vortex and h 2 The deep vortex is equivalent to a circular truncated cone A, and is regarded as a uniform water body, namely the seawater density in the circular truncated cone is the same; wherein m is more than or equal to 2;
taking round platform A as an example, the center of the upper bottom surface is P 1 (lon 1, lat 1), radius R 1 Depth of h 1 The center of the lower bottom surface is P 2 (lon 2, lat 2), radius R 2 Depth of h 2 Centroid r1= (lon) of round table a r1 ，lat r1 ,depth r1 ) And mass m1, calculated according to the following formula:
m1＝ρ1×V1
wherein ρ1 is the density of the water body in the circular table a;
v1 is the volume of the round table and is calculated according to the following formula:
definition of h 2 ～h 3 、h 3 ～h 4 …、h m-1 ～h m The center of mass ri and the mass mi of each round table are calculated according to the method described above for each round table B, C and ….
Three-dimensional mesoscale vortex E0 centroid sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) Calculated as follows:
wherein n=m-1 is the number of equivalent round tables.
In step (2 a), the search area S is a circular area having a radius of 50 km.
In the step (2 b), the centroid of a certain three-dimensional mesoscale vortex E0 at the moment t is sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) When the search area S is equal to (lon E0 ，lat E0 ) And searching a three-dimensional mesoscale vortex mass center which falls in the S at the moment t+1 for a circular area with the circle center and 50km as the radius.
In the step (2 c), if K (K is more than or equal to 1) three-dimensional mesoscale vortex centroids fall in the region S at the time of t+1, calculating the mass center sigma of each three-dimensional mesoscale Ei Ei ＝(lon Ei ，lat Ei ，depth Ei ) Distance D from the center of mass of the three-dimensional mesoscale vortex E0 i ，Selecting a three-dimensional mesoscale Ej with the smallest distance, judging 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 vortex E0 and the Ej, pointing the E0 centroid to the Ej centroid, and updating the track information of the three-dimensional mesoscale vortex E0 by using the Ej information; if no three-dimensional mesoscale vortex centroid falls in the region S at the time t+1, the tracking track of the three-dimensional mesoscale vortex E0 is considered to be ended.
In the step (2 d), tracking the motion track of the three-dimensional mesoscale vortex at the subsequent moment according to the steps (2 b) - (2 c) based on the mass center of the three-dimensional mesoscale vortex Ej at the moment t+1 until the tracking track is ended.
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 the mass center of the three-dimensional mesoscale vortex, the three-dimensional mesoscale vortex is regarded as an overall structure research, long-time and large-range automatic tracking of the three-dimensional mesoscale vortex can be realized, and a three-dimensional mesoscale vortex tracking track is established. The method breaks through the limitation of individual vortex tracking and layered tracking vortex research, provides a novel method for three-dimensional mesoscale vortex tracking, more finely and completely characterizes the whole motion track of the three-dimensional mesoscale vortex, has practicability and effectiveness, and lays a foundation for deep research on 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 representation of a three-dimensional mesoscale vortex centroid calculation;
FIG. 3 is an example of a three-dimensional anti-cyclone vortex at 8/24/2008;
fig. 4 is a three-dimensional anti-cyclone vortex tracking track from 24 days of 8 months in 2008 to 25 days of 8 months in 2008, and a three-dimensional anti-cyclone vortex structure from 25 days of 8 months in 2008;
fig. 5 is a three-dimensional anti-gas vortex life-cycle tracking track of 24 days from 8 months in 2008 to 31 days in 10 months in 2008, and a three-dimensional anti-gas vortex structure of 31 days in 2008.
Detailed Description
The present invention will be described in detail below with reference to the drawings and examples.
Referring to fig. 1, a flow of a three-dimensional mesoscale vortex tracking method may include the steps of:
step 101: and calculating a three-dimensional mesoscale vortex centroid.
As shown in fig. 2, a three-dimensional mesoscale vortex diagram E0 comprises 4 layers with depths h 1 、h 2 、h 3 、h 4 The vortex radius at different depths is R respectively 1 、R 2 、R 3 、R 4 The method comprises the steps of carrying out a first treatment on the surface of the Will h 1 Deep vortex and h 2 The depth vortex is equivalent to the circular truncated cone A, and is regarded as a uniform water body, namely the seawater density in the circular truncated cone is the same.
Taking round platform A as an example, the center of the upper bottom surface is P 1 (lon 1, lat 1), radius R 1 Depth of h 1 The center of the lower bottom surface is P 2 (lon 2, lat 2), radius R 2 Depth of h 2 . Centroid (shown as r1 in fig. 2) r1= (lon) of round table a r1 ，lat r1 ，depth r1 ) And mass m1, calculated according to the following formula:
m1＝ρ1×V1
wherein ρ1 is the density of the water in the circular table a, and V1 is the volume of the circular table calculated according to the following formula:
definition of h 2 ～h 3 、h 3 ～h 4 The center of mass ri and the mass mi of each circular truncated cone are calculated according to the method described above for each circular truncated cone B, C.
Three-dimensional mesoscale vortex E0 centroid sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) Calculated as follows:
wherein n=3 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 moment t is sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) When the search area S is equal to (lon E0 ，lat E0 ) And searching a three-dimensional mesoscale vortex mass center which falls in the S at the moment t+1 for a circular area with the circle center and 50km as the radius.
(3) If at time t+1, K (K)>=1) the three-dimensional mesoscale vortex centroids fall within the region S, and each three-dimensional mesoscale vortex Ei centroid σ is calculated Ei ＝(lon Ei ，lat Ei ，depth Ei ) The distance Di between the vortex Ej and the mass center of the three-dimensional mesoscale vortex E0 is selected, and the vortex Ej with the smallest distance is selected to judge that the vortex Ej and E0 belong to the same three-dimensional mesoscaleAnd the vortex establishes a tracking track between the three-dimensional mesoscale vortex E0 and the Ej, the E0 centroid points to the Ej centroid, and the information of the three-dimensional mesoscale vortex E0 track is updated by using the Ej information. The distance Di between the two mass centers of the three-dimensional mesoscale vortices Ei and E0 is calculated as follows:
if no three-dimensional vortex centroid falls in the region S at the time t+1, the tracking track of the three-dimensional mesoscale vortex E0 is considered to be ended.
(4) And (3) continuously tracking the motion track of the three-dimensional mesoscale vortex at the subsequent moment according to the steps (2) to (3) based on the mass center of the three-dimensional mesoscale vortex Ej at the moment t+1 until the tracking track is ended.
(5) And (3) tracking the motion tracks of the three-dimensional gas vortex and the reverse gas vortex respectively according to the steps (2) to (4) from the data starting time, and establishing a three-dimensional mesoscale vortex tracking data set of a long-time sequence.
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) with the depth of 0m, -2m, -4m, … to-1500 m of 35 layers is formed in 24 days of 8 months in 2008, vortex boundaries with different depths of 0m to-1500 m are in a ring-shaped structure in figure 3, and the radiuses are respectively R 1 、R 2 、…、R 35 。
The 0m depth vortex and the-2 m depth vortex are equivalent to the circular truncated cone A, and are regarded as uniform water bodies, namely the seawater density in the circular truncated cone is the same. Taking this as an example, the center of the upper bottom surface is P 1 (160.10813 DEG, 26.22545 DEG) and a radius R 1 = 32.590km, depth of 0m, center of bottom surface P 2 (160.10852 DEG, 26.22523 DEG) and a radius R 2 = 32.653km, depth-2 m. Centroid r1= (lon) of round table a r1 ，lat r1 ，depth r1 ) And mass m1, calculated according to the following formula:
m1＝ρ1×V1＝6883429.32×10 6 kg
wherein ρ1 is the density of the water body in the circular table, and ρ1=1030 kg/m is taken 3 The method comprises the steps of carrying out a first treatment on the surface of the V1 is the volume of the round table A, and is calculated according to the following formula:
and calculating the mass centers and the masses of other equivalent circular truncated cones according to the method.
The three-dimensional mesoscale vortex E0 centroid sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) Calculated as follows:
wherein n=34 is the equivalent number of round tables.
Step 102: tracking the three-dimensional anti-cyclone vortex based on centroid
(1) A planar search area S is defined, and the present technique defines S as a circular area with a radius of 50 km.
(2) The centroid of the three-dimensional reverse air vortex is sigma E0 = (160.12497 °,26.21531 °, -770.27894 m), the search area S is a circular area with (160.12497 °,26.21531 °) as a center of a circle and 50km as a radius, and searches for a three-dimensional anti-cyclone vortex centroid to be tracked, which falls within S by 25 sunset at 8 months in 2008.
(3) The centroids of the 2 three-dimensional anti-cyclone vortices E1 and E2 fall in the S region respectivelyr E1 ＝(lon E1 ，lat E1 ，depth E1 ) = (160.02554 °,26.36520 °, -696.69414 m) and r E2 ＝(lon E2 ，lat E2 ，depth E2 ) = (160.07033 °,26.23317 °, -747.55429 m). Respectively calculating the distance D between the three-dimensional anti-cyclone vortex E1, E2 and E0 1 、D 2 Calculated as follows:
comparison to obtain D 1 ＞D 2 The three-dimensional anti-cyclone vortex E2 of 8 months of 2008 and the three-dimensional anti-gas vortex E0 of 24 months of 2008 are considered to belong to the same three-dimensional mesoscale vortex, the track connection between E2 and E0 is from the E0 centroid to the E2 centroid, and the track information of the three-dimensional anti-cyclone vortex E0 is updated by using vortex E2 information. Fig. 4 shows the tracking trajectory between E0 and E2, and the three-dimensional anti-cyclone vortex structure at 8 and 25 in 2008.
(4) Based on the three-dimensional mesoscale vortex E2 centroid of 8.25.2008, the three-dimensional anti-cyclone vortex motion track of 26.8.2008 is continuously tracked according to the steps (2) - (3) until the tracking track is ended.
The three-dimensional anti-gas vortex E0 of the 8 th month 24 th 2008 was traced in the steps (2) to (4) described above, and the trajectory end date thereof was the 31 th month 10 th 2008, and fig. 5 shows the three-dimensional movement trajectory thereof from the 24 th month 2008 to the 31 th month 10 th 2008 and the three-dimensional anti-gas vortex structure of the 31 th month 10 th 2008.
(5) And (3) tracking the motion tracks of the three-dimensional gas vortex and the reverse gas vortex respectively according to the steps (2) to (4) from the data starting time, and establishing a three-dimensional mesoscale vortex tracking data set of a long-time sequence.
Claims (6)
1. A method of three-dimensional mesoscale vortex tracking, the method comprising the steps of:
(1) Calculating a three-dimensional mesoscale vortex centroid
The identified three-dimensional mesoscale vortex is equivalent to a plurality of circular tables according to the depth, and the center of mass of the circular tables is calculated to obtain the three-dimensional mesoscale vortex center of mass;
(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 moment t is sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) Searching the mass center of the three-dimensional mesoscale vortex to be tracked, which falls in the plane searching area S at the time t+1 of the three-dimensional gas vortex or the three-dimensional reverse gas vortex of the same type;
(2c) If a plurality of three-dimensional mesoscale vortex centroids fall in the region S at the time t+1, calculating a three-dimensional distance D between the three-dimensional mesoscale vortex Ei centroids falling in the region S and the three-dimensional vortex E0 centroids at the time t i Selecting a three-dimensional mesoscale vortex with the smallest distance as an Ej, judging that the Ej and the E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortex E0 at the moment t and the three-dimensional mesoscale vortex Ej at the moment t+1, pointing the mass center of the E0 to the mass center of the Ej, 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 centroid falls in the S region at the time t+1, the tracking of the three-dimensional mesoscale vortex E0 track is considered to be finished;
(2d) Tracking the motion track of the three-dimensional mesoscale vortex according to the steps (2 b) - (2 c) based on the mass center of the three-dimensional mesoscale vortex Ej until the tracking track is ended;
(2e) And (3) tracking the motion trail of the three-dimensional gas vortex or the three-dimensional reverse gas vortex according to the steps (2 b) - (2 d) from the data starting time, and establishing a three-dimensional mesoscale vortex tracking data set of a long-time sequence.
2. The three-dimensional mesoscale vortex tracking method according to claim 1, wherein the three-dimensional mesoscale vortex centroid calculation method is as follows:
some three-dimensional mesoscale vortex E0 comprises m layers with depth of h respectively 1 、h 2 、...、h m The vortex radius at different depths is R respectively 1 、R 2 、...、R m The method comprises the steps of carrying out a first treatment on the surface of the Will h 1 Deep vortex and h 2 The deep vortex is equivalent to a circular truncated cone A, and is regarded as a uniform water body, namely the seawater density in the circular truncated cone is the same; wherein m is more than or equal to 2;
taking round platform A as an example, the center of the upper bottom surface is P 1 (lon 1, lat 1), radius R 1 Depth of h 1 The center of the lower bottom surface is P 2 (lon 2, lat 2), radius R 2 Depth of h 2 Centroid r1= (lon) of round table a r1 ，lat r1 ，depth r1 ) And mass m1, calculated according to the following formula:
m1＝ρ1×V1
wherein ρ1 is the density of the water body in the circular table a;
v1 is the volume of the round table and is calculated according to the following formula:
definition of h 2 ～h 3 、h 3 ～h 4 ...、h m-1 ～h m The center of mass ri and mass mi of each round table are calculated according to the method;
three-dimensional mesoscale vortex E0 centroid sigma E0 ＝(lon E0 ，lat E0 ，depth E0 ) Calculated as follows:
wherein n=m-1 is the number of equivalent round tables.
3. The three-dimensional mesoscale vortex tracking method according to claim 1, wherein in step (2 a), the search area S is a circular area having a radius of 50 km.
4. The method of claim 1, wherein in step (2 b), the centroid of the three-dimensional mesoscale vortex E0 at time t is σ E0 ＝(lon E0 ，lat E0 ，depth E0 ) When the search area S is equal to (lon E0 ，lat E0 ) And searching a three-dimensional mesoscale vortex mass center which falls in the S at the moment t+1 for a circular area with the circle center and 50km as the radius.
5. The method according to claim 1, wherein in step (2 c), if K three-dimensional mesoscale vortex centroids fall within the region S at time t+1, K is equal to or greater than 1, and each three-dimensional mesoscale vortex Ei centroid σ is calculated Ei ＝(lon Ei ，lat Ei ，depth Ei ) Distance D from the center of mass of the three-dimensional mesoscale vortex E0 i ，Selecting a three-dimensional mesoscale vortex Ej with the smallest distance, judging that the three-dimensional mesoscale vortex Ej and E0 belong to the same three-dimensional mesoscale vortex, establishing a tracking track between the three-dimensional mesoscale vortex E0 and the Ej, pointing the E0 centroid to the Ej centroid, and updating the track information of the three-dimensional mesoscale vortex E0 by using the Ej information; if no three-dimensional mesoscale vortex centroid falls in the region S at the time t+1, the tracking track of the three-dimensional mesoscale vortex E0 is considered to be ended.
6. The method of tracking a three-dimensional mesoscale vortex according to claim 1, wherein in the step (2 d), tracking of the motion trajectory of the three-dimensional mesoscale vortex at the subsequent time is continued in steps (2 b) to (2 c) based on the centroid of the three-dimensional mesoscale vortex Ej at the time t+1 until the tracking trajectory is completed.
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