The Study And Application Of Euler Deconvolution Method

The anomalies inverted method of gravity and magnetism (potential filed)is an important part of gravity and magnetism data processing. It has become agrowth point of the development of gravity and magnetism exploration subject.Its progress relates to directly the foreground that course develop and theeffect of resolving actual problem.For long time, the geophysicists have dedicated to the research ofautomatic explaining method for determining the characteristics of potentialfiled sources. In order to realize this goal, they have studied and innovatedvarious semi-automatically hermeneutic theories and experience approaches todetermine the characteristics of potential field sources in recent years, such asspectral analysis, Euler deconvolution ,Werner deconvolution and analyticalmethods we known .Among these approaches, Euler deconvolution methodsis already paid attention to specially by geophysicists . The reason is thatbefore the method is explained, we know only the data of potential field ,itsthree aspect partial derivatives, and determining the structure index related tothe property of the field sources in advance, while we need not otherinformation to check firstly, don't consider magnetization direction ofmagnetic field and don't need to suppose any particular geology model. So themethod has the characteristic of brachylogy and speediness. It not only canqualitative and also calculate quantitative the position of field source;It candraw availably the basic outline of anomalies source. So comparing to othermethod, it can more broadly applied in more geology circumstance, theanalysis of a data and explain, especially for the analysis and explanation ofthe data of wide area potential field. But in the process of carrying on Eulerdeconvolution methods, we will still meet many problems. Because of theexistence of the falsehood result, in some cases, the falsehood result willdissipate the inverted solutions and even result in the failure of the inverted.This make explainer have no way to identify really and confirm thedistribution of the anomaly source. Moreover, the existence of the backgroundfield also will affect much the inverted solutions. Aim at these problems, thisthesis lay particular emphasis on the theories research to the method of Eulerdeconvolution and made the thorough and meticulous research to theastringency problem of the solution,the data source problem of Euler equation,the using condition of Euler equation and how to evaluate the result that Eulerquation caculate in using the error data etc. It also put forward somehomologous solutions. The main research result induced as follows:1.Euler inverted carried on by different data types break through therestrict that we only make use of potential anomaly data in the past. In theusage of the data, it extended to the derivative, the analytic signals and thecombination of different altitude anomalies, and also enriched the data sourceof Euler inverted method. After carrying on the Euler inverted by usingderivative and analytic signals as the source data, to some extent,Thisimproves greatly the astringency of Euler inverted result, reforms the inveredresult and enrichs the usage of the data in the Euler inverted method.2.Deduce Euler equation form in wavenumber domain, find that Eulerequation in wavenumber domain have more simple and direct relation with thespace position and the geometry body of the anomalies source. Meanwhile,Carry on the inverted calculation to the simple model, the depth the result gotis more accurate. Moreover, still prove that the value of the structure index hasthe different influence to the level result and the depth results about fieldsource, it is that the relation of the structure index N with Z。is direct,but therelation of the structure index N wih x 0 , y0 is only indirect.In thewavenumber domain,the study of Euler equation expands the research space ofthe Euler method,and has the certain theories meaning.3. The step is a kind of more familiar geology model,taking such as thecontact within the actual geology structure etc. Speaking strictly, The gravityanomaly of the step is dissatisfied with the condition of Euler homogeneousequation,for making such anomaly also satisfy the usage condition of Eulerequation,we transform the equation expression,and make the transformedexpression satisfy the condition of the Euler equation.Then, we make theresearch to the difference and accuracy between the front and backtransformation of the Euler equation. it is advantageous that we understandaccuratly the result be true or false and deepen the understanding of thismethod in applying Euler equation.4. Because the data used in Euler is a certain source data and the particalderivative of its three direction. Currently,our country has little data for directgradient measure,the gradient processed and transformed produces inevitablysome error, or has a little transformation, comparing to the originalanomaly.for such data, we deduced to the look like of Euler equation of thedistorted anomaly, and give the calculation method of evaluating theseerror.Because of an existence of surplus anomaly and the anomaly that theclose field be fold to add generated, On the very great degree,it influence theinverted result of the Euler deconvolution method and put forward and set upEuler equation with the first vertical derivation,the scaled anomaly andanomaly at two altitudes, in order to remove the influence of the backgroundfield.5. For the sake of improving the result of Euler deconvolution, incalculation,invert original data by the first vertical derivation and analysissignal.At the first time, we combined the observation anomaly and theanomaly of upward continuation different height,and then inverted.this enlargethe restrict of inverted result,in order to increase the stability of the invertedresult.Still adopte the method of horizontal gradient filter, conclude a meshdistrict with bigger mold of horizontal gradient, then carry on Euler invertedand can remove the plentiful false result caused by other reason, hold the truesolution. This reflects the actual position of the field source.6. When carrying on Euler deconvolution calculation, glide on the wholeresearch region using glide window and calculate.After selecting the fitcalculation window, the structure index N has the great influence upon theresult. In computing process, adjusting a N value each time will repeat to carryon the process of the Euler equation. We put forward building up a set ofparameter for the first time,and it has a simple corresponding relation with thestructure index N. Through this, we become the least-squares algorithmproblem of solving Euler equation to the problem of solving linear equation,inorder to avoid the process of repeating to solve least-squares algorithm andraise the working efficiency. Meanwhile, it lower the possible error deliveringfor solving Euler equation with least-squares algorithm.7.In the process of the actual data of gravity and magnetism anomaly inthe Chaoshan sinking region of the Shujiangkou basin.In the Chaoshan sinkingregion,the structure is complicatedthe and the faults grow well.They showmainly a faults group of geology characteristics with north-east and north-westinterleave folding to add. This paper applied the method of Eulerdeconvolution to calculate, divided 30 piece of faults whether they were smallor big. Among them, some faults was studied and found, the other are putforward in this calculation. Seeing totally, much trend to structure is consistentto those predicted already.For this time,it is obvious that the effect of Eulerinverted method applied in this region,it reflected basically the abundantstructure characteristic in the Chaoshan sinking region of the Shujiangkoubasin, and provided the useful information for the structure studying of thisarea.This research obtained the certain success. the application of the differenttype data enriched the data source in Euler deconvolution method, improvedthe inverted result to some extent.The deducing of Euler equation inwavenumber region expand the research space of the Euler method andsupplement Euler deconvolution method. Solving the problem of Eulerequation by the problem of linear equation improve the speed, and raise theworking efficiency. The result of other various researches will have the certaindirective meaning to their later development.Tally up the result of this work,we can prove that the theories research made is successful, the standpoint putforward is right. The model experiment have already confirmed this piont.