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Taylor Series Iteration Surface Field Approach

Posted on:2005-08-22Degree:MasterType:Thesis
Country:ChinaCandidate:J L LiuFull Text:PDF
GTID:2190360125466630Subject:Earth Exploration and Information Technology
Abstract/Summary:PDF Full Text Request
Among the methods of the data processing of the potential fields, all of the data processing methods are all based on the theory of the level data. In fact, because of the limitations of the natural conditions, almost all the data are observed on the unlevel topography. In other words, almost the data of potential fields are curved surface data. Regarding curved surface data as level data processed,results must have big error. For take full advantage of the existing data processing and inversion methods.technology , improve the precision of the interpret of datum, the thesis is base on the Taylor's series methods, putt forward a new thought of iteration method , which called as Taylor's series iteration method. Using this method to finish the task of transform as " The datuming of the potential fields " of the curved surface data to the level data. The work done mainly embodies in the following several respects:(1) Have summarized and reviewed the current situation of the development of the research of domestic and overseas curved surface potential fields processing technology at present, point out the problem of curved surface processing that have at present, And discuss the necessity of this thesis.(2) Putting forward Taylor's series iteration method of" The datuming of the potential fields " method, derive its basic theoretical formula and iterative formula in detail; Have discussed the series' convergence and stability of this method; Provided the detailed solution procedure to the Taylor's series iteration method of" The datuming of the potential fields " method; Analysed main error source of this method, putting forward four important technology to guarantee the precision of calculation and convergent velocity of this method.(3) Designed the software of this method according to the thought of the soft project . simply analysised the software systems; provided the overall design drawing of the software and design drawings of several pieces of basic module in detail.(4) The thesis has tested the software of this method with the example of the model and real data, the preliminary result proves the exactness of the work. Finally ,the thesis discussed the limitation of this method, and putted forward some improved suggestions.
Keywords/Search Tags:Taylor's series iteration method, The curved surface processing, The datuming of the potential fields, Potential fields, Continuation
PDF Full Text Request
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