Calculation method for constructing gravitational gradient field of complex body

A technology of gravitational gradients and calculation methods, applied in calculation, design optimization/simulation, special data processing applications, etc., can solve problems such as low efficiency, complex implementation, and large limitations in engineering applications, so as to achieve convenient display and improve fitting degree , the effect of small calculation error

Active Publication Date: 2017-10-20
中国船舶重工集团公司第七〇七研究所
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Problems solved by technology

[0014] The purpose of the present invention is to overcome the deficiencies of the prior art, provide a calculation method for constructing the gravitational gradient field of a complex shape, and solve the complex realization, low efficiency and engineering application limitations caused by the limited segmentation of complex shapes into simple regular bodies manually big problem

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  • Calculation method for constructing gravitational gradient field of complex body
  • Calculation method for constructing gravitational gradient field of complex body
  • Calculation method for constructing gravitational gradient field of complex body

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Embodiment Construction

[0039] Embodiments of the present invention are described in further detail below in conjunction with the accompanying drawings:

[0040] A calculation method for constructing a gravitational gradient field of a complex shape is realized based on the following principles:

[0041] The interaction force between two stationary point charges in vacuum satisfies Coulomb's law, that is, it is proportional to the product of its charge quantity and inversely proportional to the square of its distance, and the direction of the force is on the connecting line between the two. Mutual repulsion, different names attract each other, the expression of the gravitational field between objects is:

[0042]

[0043] In the formula, r is the distance between the two, q 1 ,q 2 is the charge quantity of two point charges, e r for from q 1 to q 2 The radial direction of the direction, k=9×10 9 N m 2 / C 2 is Coulomb's constant. This formula is in the same form as the expression of univer...

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Abstract

The invention relates to a calculation method for constructing a gravitational gradient field of a complex body. The method is technically characterized by comprising the following steps of enabling the complex body to be equivalent to a charged insulator, enabling a gravitational field to be equivalent to an electric field, and performing mesh division on a model; calculating a gravitational field between two objects, enabling the density to be equivalent to charge density of a charged body, and multiplying the density by a conversion coefficient to obtain a gravitational field around the complex body; and performing derivation on gravitational components along three coordinate axes in a rectangular coordinate system, regarding the gravitational components as deformation of the objects in three coordinate directions, and calculating out strain generated under the deformation, wherein linear strain corresponds to a linear gravitational gradient, and shear strain corresponds to a cross gravitational gradient. The method realizes calculation of the gravitational gradient around any three-dimensional mass body, is suitable for directive calculation of a self gradient of a gravity gradiometer, a basic gradient of a lab and artificial gradient excitation generated by an experiment apparatus, and lays a solid foundation for gravity gradient inversion and geological interpretation.

Description

technical field [0001] The invention belongs to the technical field of gravity and gravity gradient measurement, in particular to a calculation method for constructing a complex shape gravity gradient field. Background technique [0002] The forward calculation of the self-gradient of the gravity gradiometer, the laboratory basic gradient and the artificial gradient excitation generated by the experimental device needs to calculate the gravitational gradient field around the object. The forward modeling problem is mainly based on the shape, occurrence, spatial position, and physical characteristics of a given mass body, through theoretical or numerical calculations to obtain its abnormal size, characteristics, and change laws in the observation coordinate system. Only by calculating the gravitational field distribution of different shapes, and summarizing the internal laws of the field characteristics, geometric parameters, and physical properties, can these laws be used to ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 王伟李中李城锁李达程关德
Owner 中国船舶重工集团公司第七〇七研究所
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