Accurate and rapid calculation method for global and local ocean disturbing gravity
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A technique for disturbing gravity and fast calculation, which is applied in the direction of measuring gravitational field, geophysical measurement, measuring device, etc.
Inactive Publication Date: 2014-09-10
西安测绘研究所
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[0004] The purpose of the present invention is: in order to solve the problem of accurate and fast calculation of ocean disturbance gravity, the present invention first provides the formula for calculating disturbance gravity using vertical line deviation data, and proposes an accurate and fast calculation method for global and local ocean disturbance gravity , this method improves the calculation speed while ensuring the calculation accuracy is equivalent to the original analytical expression
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Embodiment 1
[0054] Embodiment 1: This embodiment is to calculate the global ocean disturbance gravity.
[0055] The example data include the global ocean area grid geoid height data at 2.5′ resolution, which is obtained from the DNSC08 model. The land part adopts the geoid height data with 2.5′ resolution generated by the EGM2008 model, the longitude range is 0°-360°, and the latitude range is -90°-90°. The constant parameters used are listed below.
[0056] gravitational constant GM
[0057] Including the following steps:
[0058] Step 1: Combine sea area geoid height data and land geoid height data to form 2.5′ resolution global grid geoid height data, the number of grids is 4321×8641.
[0059] Step 2: According to formula (2) and formula (3), form the north-south component ξ and the east-west component η of the global vertical deviation with 2.5′ resolution, and the grid numbers are 4320×8640 and 4320×8640 respectively.
[0060] Step 3: k=1;
[0061] Step 4: Calculate the...
Embodiment 2
[0069] Embodiment 2: This embodiment is to calculate the local ocean disturbance gravity.
[0070] The calculation example data includes the geoid height data of the local ocean area grid with 2.5′ resolution, the grid number is 241×241, the data is obtained by the DNSC08 model, the data range is 110°E-120°E, and the latitude range is N latitude 10° - 20° north latitude. The constant parameters used are listed below.
[0071] gravitational constant GM
[0072] Including the following steps:
[0073] Step 1: According to the formula (8) and formula (9), the vertical line deviation ξ and east-west component ξ and the east-west component η of the local area 2.5′ resolution are formed from the geoid height data, and the grid numbers are 240×240 and 240×240 respectively .
[0074] Step 2: according to formula (12), formula (13) to the IV of each latitude circle ξ,ij , IV η,ij Add 238 elements, ξ for each latitude circle ij , η ij Add 238 zero values.
[0075] Step...
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Abstract
The invention discloses an accurate and rapid calculation method for global and local ocean disturbing gravity, which belongs to the technical field of geodetic surveying. The method is used for global ocean disturbing gravity calculation, FFT calculation is carried out on each latitude circle by supplementing observation data in a global area, and then summation calculation is carried out in a longitude direction, and the processing method ensures the consistency of the result after the FFT calculation and the result of the original analysis algorithm. With respect to local ocean disturbing gravity calculation, a kernel function forms a cyclic matrix by supplementing a certain amount of data in the kernel function and the observation data, and then the consistency of the result and the result of the original analysis algorithm is ensured by virtue of FFT calculation. According to the method disclosed by the invention, a calculation formula is provided for calculating disturbing gravity by virtue of ocean height measurement satellite data, and an accurate and rapid method is given simultaneously. The method disclosed by the invention can also be applied to resolution for most of integral problems in physical geodesy, for example, resolution for geoidal surface, the deviation of plumb line, terrain correction and the like.
Description
technical field [0001] The invention relates to a method for accurately and rapidly calculating global and local ocean disturbance gravity, and belongs to the technical field of geodesy. Background technique [0002] The traditional ocean gravity field is generally determined by satellite altimetry data to obtain gravity anomalies in ocean areas. With the development of oceanography and space geodesy, disturbed gravity has more advantages than gravity anomalies. First of all, due to the small magnitude of the sea surface terrain in the ocean area, the determination of the disturbance gravity can avoid the calculation problem in the calculation process of the gravity anomaly, so the determination of the disturbance gravity is more accurate than the gravity anomaly. Secondly, from the application point of view, under the same accuracy , the accuracy of calculating the disturbance field element of the gravity field by using the disturbance gravity is higher than that of the gra...
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