本文選題：剩余密度 + 磁化率�。� 參考：《中國(guó)地質(zhì)大學(xué)(北京)》2015年碩士論文

【摘要】：在實(shí)際工區(qū)中同時(shí)開展重力、磁法和電阻率測(cè)深法工作是目前很普遍的做法,在推斷地下信息時(shí),不同地球物理方法之間可以相互補(bǔ)充,來得到更加可靠的地質(zhì)-地球物理模型�？紤]到單一方法各自的不足和局限性,以及反演本身固有的多解性,不同方法單一反演得到的地質(zhì)模型往往差異較大。我們認(rèn)為,當(dāng)不同物性具有結(jié)構(gòu)分布上的一致性時(shí),如本文的剩余密度、磁化率和電阻率具有相同的物性結(jié)構(gòu)分布時(shí),把由不同物性梯度算子構(gòu)成的交叉梯度引入到目標(biāo)函數(shù)中,進(jìn)行聯(lián)合反演,理論上可以得到一個(gè)更加可靠的結(jié)果,該算法使反演沿著剩余密度、磁化率和電阻率結(jié)構(gòu)分布一致的方向進(jìn)行下去。文中采用了解析法來進(jìn)行重磁的正演計(jì)算,以及有限單元法來進(jìn)行電阻率法的正演計(jì)算。重力、磁法和電阻率法反演采用的都是正則化光滑約束反演,同時(shí),因?yàn)樾枰獙?duì)剩余密度和磁化率進(jìn)行物性正約束,在正則化光滑約束的基礎(chǔ)上,引入了對(duì)數(shù)障礙項(xiàng),來避免反演迭代中剩余密度和磁化率出現(xiàn)負(fù)值。文中通過多個(gè)理論模型,包括完全一致模型和不完全一致模型,對(duì)該算法進(jìn)行了測(cè)試,模型算例表明,在物性數(shù)值和模型形態(tài)上,交叉梯度聯(lián)合反演都比單一方法反演得到的結(jié)果更加接近真實(shí)理論模型,從而證明了交叉梯度聯(lián)合反演的正確性和有效性。
[Abstract]:It is a common practice to carry out gravity, magnetic and resistivity sounding methods simultaneously in actual working areas. In the process of extrapolating underground information, different geophysical methods can complement each other. To get a more reliable geological-geophysical model. Considering the shortcomings and limitations of the single method and the inherent multiplicity of the inversion itself, the geological models obtained by the single inversion with different methods are often quite different. We think that when different physical properties have the same structure distribution, for example, the residual density, magnetic susceptibility and resistivity have the same physical structure distribution. The cross gradient composed of different physical gradient operators is introduced into the objective function for joint inversion, and a more reliable result can be obtained theoretically. The algorithm makes the inversion along the residual density. The direction of the distribution of magnetic susceptibility and resistivity structure is consistent. The forward calculation of gravity and magnetic field and the forward calculation of resistivity method by finite element method are carried out by analytical method. The inversion of gravity, magnetic method and resistivity method are all regularized smooth constraint inversion. At the same time, the logarithmic barrier term is introduced on the basis of regularization smooth constraint because of the physical positive constraint of residual density and magnetic susceptibility. To avoid negative values of residual density and magnetic susceptibility in inversion iteration. In this paper, the algorithm is tested by several theoretical models, including completely consistent model and incompletely consistent model. The model examples show that, in terms of physical properties and model shape, The results of cross gradient joint inversion are closer to the real theoretical model than that of the single method, which proves the correctness and validity of the cross gradient joint inversion.
【學(xué)位授予單位】：中國(guó)地質(zhì)大學(xué)(北京)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：P631

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