Local geomagnetic map construction method based on multifractal kriging interpolation of gradual interpolation correction
A technology of kriging interpolation and construction method, which is applied in the re-radiation of sound waves, electric/magnetic exploration, geophysical measurement and other directions, and can solve the problems of affecting the interpolation effect and loss of fractal features.
Inactive Publication Date: 2015-06-17
HARBIN ENG UNIV
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In the case of sparse existing data, part of the fractal features will be lost in the process of estimating the whole locally, which will affect the interpolation effect
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[0056] The present invention will be further described below in conjunction with the accompanying drawings.
[0057] The method is based on the sparse measured magnetic anomaly data, using the kriging interpolation method to interpolate the data to a transitional resolution, and then using the multifractal kriging interpolation method to realize the encrypted reconstruction of the data. The interpolation results can be significantly improved by adopting the method of gradual correction and continuously refining the value of the transition resolution.
[0058] The multi-fractal Kriging interpolation method based on step-by-step interpolation correction proposed by the present invention comprises the following steps:
[0059] Step 1. Extract the geomagnetic anomaly field data from the measured data
[0060] The geomagnetic field model is used to calculate the main magnetic field strength of each point in the study area, and subtract it from the measured data to finally obtain t...
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The invention belongs to the technical field of geomagnetic navigation, and particularly relates to a local geomagnetic map construction method based on multifractal kriging interpolation of gradual interpolation correction; sparse measured geomagnetic data are encrypted and reconstructed through adopting a multifractal kriging interpolation method based on the gradual interpolation correction. The local geomagnetic map construction method based on the multifractal kriging interpolation of the gradual interpolation correction comprises the steps of extracting geomagnetic anomalous field data in measured data, calculating variation function expression and weight coefficient, interpolating the measured geomagnetic data to transition resolution through using the kriging interpolation method, selecting a multifractal estimated region to determine a box number, determining singular coefficients, calculating multifractal kriging interpolation equation, verifying precision of configurations through a cross validation method and creating geomagnetic reference map, and improving interpolation results through a mode of gradual correction. According to the local geomagnetic map construction method based on the multifractal kriging interpolation of the gradual interpolation correction, the trend of geomagnetic anomalous field information is described through using the kriging interpolation, local singular features in original information are restored through a multifractal theory, and high-precision and high-resolution local geomagnetic reference map is constructed through using the mode of the gradual interpolation correction.
Description
technical field [0001] The invention belongs to the technical field of geomagnetic navigation, and in particular relates to a multi-fractal kriging interpolation local geomagnetism based on step-by-step interpolation correction which encrypts and reconstructs sparse measured geomagnetic data Graph construction method. Background technique [0002] The geomagnetic anomaly field is produced by the distribution of the crustal surface and local geographical features such as minerals, rocks, and artificial magnetic fields. The change in field strength corresponding to the change is obvious, which is reflected in the geomagnetic reference map with rich detailed information and obvious local features. It can be considered that in a long period of time, the change of geomagnetic anomalies is only related to the spatial geographic location, which is very suitable as a reference field for geomagnetic navigation. [0003] Li Qingmou organically combined Kriging interpolation method w...
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Inventor 赵玉新邢文沈志峰
Owner HARBIN ENG UNIV