Gravity gradient data three-dimensional inversion method based on partial smoothness constraints

A gravity gradient and smooth constraint technology, applied in the field of geophysical exploration, can solve problems such as range expansion, low model resolution, and large interference of measurement accuracy, and achieve the effect of improving accuracy and resolution

Active Publication Date: 2020-12-29
CHINA NAT OFFSHORE OIL CORP +1
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Problems solved by technology

In actual work, due to the limited effective data collected, the measurement accuracy is greatly disturbed by various factors, especially the equivalence of field sources makes the 3D physical property inversion have serious multiple s

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  • Gravity gradient data three-dimensional inversion method based on partial smoothness constraints
  • Gravity gradient data three-dimensional inversion method based on partial smoothness constraints
  • Gravity gradient data three-dimensional inversion method based on partial smoothness constraints

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Embodiment Construction

[0043] The principles and features of the present invention are described below in conjunction with the accompanying drawings, and the examples given are only used to explain the present invention, and are not intended to limit the scope of the present invention.

[0044] The invention relates to a three-dimensional inversion method of gravity gradient data based on partially smooth constraints, comprising the following steps:

[0045] a. Establish a Cartesian rectangular coordinate system, specifically: take (ξ, η, ζ) as the coordinates of the volume elements in the cuboid, and the coordinates of the two points with the minimum and maximum coordinate values ​​of the cuboid unit are (ξ 1 , η 1 ,ζ 1 ), (ξ 2 , η 2 ,ζ 2 ), taking the point (x, y, z) as the observation point, the gravity gradient forward formula of a cuboid with residual density ρ is as follows:

[0046]

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[0050]

[0051]

[0052] Among them, G is the gravitational...

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Abstract

The invention relates to a gravity gradient data three-dimensional inversion method based on partial smooth constraints. The method comprises the following steps of firstly, calculating second-order partial derivatives of the gravitational potential of a cuboid unit in x, y and z directions of a three-dimensional space to obtain a forward modeling formula of a cuboid element, giving a model, and performing forward modeling calculation according to the forward modeling formula to obtain observation data; manually assigning values to the roughness constraint matrix according to certain prior information to obtain a roughness matrix, and overcoming a skin effect by adopting a weighting mode of integral sensitivity; and finally, writing a target equation containing parameters such as an integral sensitivity matrix, a roughness matrix, regularization parameters, observation data and the like, and solving the target equation by adopting a conjugate gradient method to obtain an inversion result. The technology is suitable for three-dimensional gravity and gravity gradient data inversion under certain geological or geophysical prior conditions.

Description

technical field [0001] The invention relates to the inversion problem of three-dimensional gravity gradient data in the field of geophysical exploration, in particular to a three-dimensional inversion method of gravity gradient data based on partially smooth constraints. Background technique [0002] How to quickly and accurately determine the location and physical properties of geological bodies is one of the most important issues in prospecting geological exploration, and the physical property inversion technology of gravity or gravity gradient is the key technical link to solve this problem. In actual work, due to the limited effective data collected, the measurement accuracy is greatly disturbed by various factors, especially the equivalence of field sources makes the inversion of 3D physical properties have serious multi-solutions, so the inversion problem is generally an underdetermined problem . The most common way to solve this problem is to add prior information pr...

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Application Information

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IPC IPC(8): G01V7/00
CPCG01V7/00
Inventor 赵钊罗永超曾清波纪沫孙瑞杨海长李桐林
Owner CHINA NAT OFFSHORE OIL CORP
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