本文選題：歐拉反褶積　切入點：構(gòu)造指數(shù)　出處：《中國地質(zhì)大學(xué)(北京)》2017年碩士論文

【摘要】：歐拉反褶積方法是磁力勘探常用的一種估計磁性場源體分布的解釋方法,近年來被廣泛應(yīng)用并取得了良好效果,能夠自動或半自動地估算場源體位置,只需要使用較少的參數(shù)來約束,對場源體的磁性的參數(shù)不做要求,對初始選擇地質(zhì)模型的精度要求不高,能快速有效地反演出地下場源體的位置、邊界、深度,適用于大面積的網(wǎng)格的磁異常數(shù)據(jù)的計算和解釋。然而,經(jīng)過多年來的解釋應(yīng)用表明,該方法還受到人工選擇參數(shù)的影響。主要表現(xiàn)在,計算窗口尺寸的選擇和構(gòu)造指數(shù)的選擇,參數(shù)選擇不當(dāng),往往會使估算結(jié)果容易反散。因此,對大區(qū)域中不同的地質(zhì)體采取固定窗口和構(gòu)造指數(shù),反演結(jié)果會不夠精確。針對這些問題,本文引入兩種均衡邊界識別濾波器。其中,TDX邊界識別濾波器的表達式是總水平梯度和垂直梯度的反三角函數(shù),Theta邊界識別濾波器的表達式為磁異常水平變化與垂直變化的比值函數(shù)。將TDX和Theta兩種邊界識別的函數(shù)分別與歐拉反褶積方法相結(jié)合。對常規(guī)的歐拉方程進行數(shù)學(xué)變換,分別證明并建立以TDX導(dǎo)數(shù)和Theta導(dǎo)數(shù)為系數(shù)的歐拉線性方程,消除了常規(guī)歐拉方程組中的構(gòu)造指數(shù),再利用最小二乘法對兩種改進的歐拉反演方程進行求解,達到進行位場異常反演的目的。實際應(yīng)用表明這兩種改進的歐拉反演方法可以在不需要提供構(gòu)造指數(shù)的情況下反演出地質(zhì)體的邊界和深度。本文利用四種磁異常模型體來驗證這兩種改進方法的有效性。每種模型體分為不加噪聲、添加噪聲和斜磁化三種情況。兩種反演方法的反演結(jié)果均表明無論是面對哪種模型體狀況,都能很好的反演出模型體的位置參數(shù)。對福建省永定縣大排礦區(qū)的實測航空磁測數(shù)據(jù)進行實際應(yīng)用研究。通過對福建省永定縣地區(qū)的地球物理勘測資料的收集整理,分析該區(qū)域磁力異常分布特征,分別利用TDX歐拉反褶積方法和Theta歐拉反褶積方法分析該區(qū)航空磁測勘探數(shù)據(jù),并根據(jù)反演結(jié)果推斷了該測區(qū)的斷裂分布特征。
[Abstract]:Euler deconvolution method is a commonly used interpretation method for estimating the distribution of magnetic field source body in magnetic exploration. It has been widely used in recent years and has achieved good results. It can estimate the position of field source body automatically or semi-automatically.Only a few parameters are used to restrict the magnetic parameters of the field source body, and the accuracy of the initial selection of the geological model is not high, and the location, boundary, depth of the underground field source body can be quickly and effectively reversed.It is suitable for the calculation and interpretation of magnetic anomaly data for large area grids.However, after many years of interpretation and application, it is shown that the method is also affected by manual selection of parameters.The main performance is that the selection of calculation window size and construction index and the improper selection of parameters often make the estimation result easy to be reversed.Therefore, for different geological bodies in large regions, the inversion results will not be accurate by using fixed windows and structural indices.To solve these problems, two equalization boundary recognition filters are introduced in this paper.The expression of TDX boundary recognition filter is the inverse trigonometric function of total horizontal gradient and vertical gradient. The expression of Theta boundary recognition filter is a ratio function of horizontal and vertical variation of magnetic anomalies.The two boundary recognition functions of TDX and Theta are combined with Euler deconvolution method respectively.The Euler linear equations with the coefficients of TDX derivative and Theta derivative are proved and established by mathematical transformation of the conventional Euler equations. The constructive exponents of the conventional Euler equations are eliminated.Then two improved Euler inversion equations are solved by least square method to achieve the purpose of inversion of potential field anomalies.The practical application shows that the two improved Euler inversion methods can invert the boundary and depth of geological bodies without providing structural index.In this paper, four kinds of magnetic anomaly models are used to verify the effectiveness of these two improved methods.Each model body can be divided into three cases: no noise, added noise and oblique magnetization.The inversion results of the two inversion methods show that no matter which model body is faced with, the position parameters of the model body can be well inversed.The practical application of aeromagnetic data measured in Dapai Mining area of Yongding County, Fujian Province is studied.Based on the collection and arrangement of geophysical survey data in Yongding County, Fujian Province, the distribution characteristics of magnetic anomalies in this area are analyzed, and the aeromagnetic exploration data in this area are analyzed by using TDX Euler deconvolution method and Theta Euler deconvolution method, respectively.Based on the inversion results, the characteristics of fault distribution in this area are inferred.
【學(xué)位授予單位】：中國地質(zhì)大學(xué)(北京)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：P631.2

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