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Gravity forward acceleration method in spherical coordinate system

A spherical coordinate system and gravity technology, which is applied in the field of gravity forward acceleration under the spherical coordinate system, and can solve problems such as no related reports.

Active Publication Date: 2019-03-08
CENT SOUTH UNIV
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  • Abstract
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Problems solved by technology

But at present, there is no relevant report on the application of FMM acceleration algorithm in the satellite gravity forward modeling problem based on spherical shell elements

Method used

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  • Gravity forward acceleration method in spherical coordinate system
  • Gravity forward acceleration method in spherical coordinate system
  • Gravity forward acceleration method in spherical coordinate system

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Embodiment Construction

[0105] The present invention will be further described below in conjunction with examples.

[0106] S1: Design of measuring points and source files: determine the number and coordinates of measuring points, determine the density of the global 3D model and the corresponding position coordinate files; divide the 3D geometric model into spherical shell elements; The shell unit establishes a corresponding octree structure, and for each observation cell, the integration area is divided into its own near area and far area.

[0107] S2: Calculation of gravity parameters in the far zone: calculate the far zone integral through the adaptive fast multi-pole deployment acceleration algorithm.

[0108] S3: Calculation of gravity parameters in the near area: Calculate the near area integral by Gaussian numerical integration based on spherical shell elements.

[0109] S4: Calculate the gravity parameter of the observation point: the gravity parameter of the observation point is obtained by...

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Abstract

The invention discloses a gravity forward acceleration method in a spherical coordinate system. The method comprises the steps of dividing a global three-dimensional model into a series of non-overlapped spherical shell units; respectively establishing a corresponding octree structure for an observing point and the spherical shell units; for aiming at each observation point octree cell, respectively dividing the spherical shell unit octree (source octree) cell to a near field and a far field; respectively calculating the gravity parameters of the near field and the far field; calculating a near field integration based on a Gaussian value integration formula of the spherical shell unit included in the near field, and obtaining a near field gravity parameter; based on the observation point octree and the source octree, adopting an adaptive multilayer rapid multipolar sub-algorithm for calculating a far field integration, and obtaining a far field gravity parameter; calculating the summation of the near field gravity parameter and the far field gravity parameter which are calculated, and obtaining an observation point gravity parameter. According to the gravity forward acceleration method, gravity forward calculation can be performed on satellite gravity observation points which are randomly distributed based on spherical shell dividing, thereby greatly improving satellite gravityforward calculation efficiency.

Description

technical field [0001] The invention belongs to the technical field of geophysics, and in particular relates to a gravity forward modeling acceleration method in a spherical coordinate system. Background technique [0002] Since Germany launched CHAMP, a dedicated earth gravity detection satellite in 2000, the United States and Germany have successively launched GRACE (2002) and GOCE (2009) earth gravity satellites. my country is also expected to launch its own gravity satellite this year. The arrival of a large amount of satellite gravity data has made it possible to study the global three-dimensional density distribution, and will soon bring about revolutionary changes in the study of the Earth's lithosphere, hydrosphere, and atmosphere and their interactions. However, how to use large-scale satellite gravity data inversion to obtain a reliable global three-dimensional density distribution is facing challenges such as large calculation scale and large amount of observatio...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V7/00G06T17/00G06T17/05
CPCG01V7/00G06T17/005G06T17/05
Inventor 任政勇陈煌汤井田
Owner CENT SOUTH UNIV
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