本文選題：積分方程方法 + 積分方程快速傅里葉變換方法��； 參考：《電子科技大學(xué)》2015年碩士論文

【摘要】：隨著社會(huì)的發(fā)展,石油已經(jīng)是現(xiàn)代工業(yè)的主要原料,能夠完全替代的新能源還沒(méi)有。因而,對(duì)石油測(cè)井技術(shù)的研發(fā)具有相當(dāng)大的經(jīng)濟(jì)價(jià)值。測(cè)井響應(yīng)的數(shù)值模擬對(duì)于新型儀器的優(yōu)化設(shè)計(jì)、數(shù)據(jù)處理的校正和刻度技術(shù)、測(cè)井解釋等至關(guān)重要。電法測(cè)井?dāng)?shù)值模擬大都是根據(jù)地層的特定情況進(jìn)行設(shè)計(jì)的,目標(biāo)體區(qū)域通常具有良好的軸對(duì)稱特性,從而將原來(lái)的問(wèn)題簡(jiǎn)化為二維問(wèn)題,使得求解高效精確。而石油的開(kāi)發(fā)已處于中后期發(fā)展,對(duì)于一些復(fù)雜地層,如薄互層、傾斜地層的探測(cè)變得更為常見(jiàn),因而對(duì)于三維非均勻地層模型的數(shù)值模擬已越來(lái)越重要。但是對(duì)于三維測(cè)井問(wèn)題的求解效率通常很低,無(wú)法用于工程應(yīng)用中。本文的工作是在此工程應(yīng)用背景下的研究,全文的研究主要包括以下幾部分:一、對(duì)于電波傳播測(cè)井和感應(yīng)測(cè)井的工作原理進(jìn)行詳細(xì)討論,本文的研究是基于電波傳播測(cè)井和感應(yīng)測(cè)井的單發(fā)雙收線圈系進(jìn)行的。同時(shí)利用矩量法對(duì)電法測(cè)井問(wèn)題進(jìn)行電磁建模。二、對(duì)IE-FFT方法的原理與實(shí)現(xiàn)步驟進(jìn)行詳細(xì)介紹;同時(shí)研究分析格林函數(shù)插值模板的拓?fù)浣Y(jié)構(gòu)。三、利用基于IE-FFT的高效建模程序?qū)y(cè)井建模問(wèn)題中的一些關(guān)鍵物理參數(shù)問(wèn)題進(jìn)行研究,并給出一些普適性的結(jié)論。通過(guò)與其他方法的比較,證明使用IE-FFT方法求解測(cè)井問(wèn)題程序的正確性,同時(shí)體現(xiàn)出此方法在求解時(shí)間和內(nèi)存占用方面的優(yōu)勢(shì),基于此條件下,本文成功模擬多層大尺度井模型;對(duì)于電法測(cè)井問(wèn)題電磁建模方面較關(guān)鍵的參數(shù)進(jìn)行研究;對(duì)測(cè)井模型不同模型參數(shù)的特性進(jìn)行研究;對(duì)三分量感應(yīng)測(cè)井儀器中水平分量發(fā)射線圈產(chǎn)生的電磁場(chǎng)進(jìn)行推導(dǎo),基于此研究分析傾斜發(fā)射線圈對(duì)地層邊界的探測(cè)能力。四、對(duì)于基于積分方程方法存在的高對(duì)比度問(wèn)題進(jìn)行初步的研究。提出分段處理和分段同時(shí)更新背景格林函數(shù)的處理方法,對(duì)于提高收斂速度方面取得較好的結(jié)果。本文的研究工作都是基于電波傳播測(cè)井和感應(yīng)測(cè)井問(wèn)題下進(jìn)行的,因而本文的研究工作對(duì)于低頻電磁探測(cè)方面的研究具有較大的參考價(jià)值。
[Abstract]:With the development of society, petroleum is the main raw material of modern industry.Therefore, the research and development of petroleum logging technology has considerable economic value.The numerical simulation of log response is very important for the optimization design of new tools, calibration and calibration techniques for data processing, log interpretation and so on.The numerical simulation of electric logging is mostly designed according to the specific conditions of formation, and the target region usually has good axisymmetric characteristics, so the original problem is simplified into a two-dimensional problem, which makes the solution more efficient and accurate.The development of petroleum is in the middle and late stage. For some complex strata, such as thin interbed, the exploration of inclined strata becomes more and more common, so it is more and more important for the numerical simulation of three-dimensional heterogeneous formation model.However, the efficiency of solving three-dimensional logging problems is usually very low, and can not be used in engineering applications.The work of this paper is the research under the background of this engineering application. The research in this paper mainly includes the following parts: first, the working principle of radio wave propagation logging and induction logging is discussed in detail.The research in this paper is based on radio wave propagation logging and induction logging.At the same time, the electromagnetic modeling of electric logging problem is carried out by moment method.Secondly, the principle and implementation steps of IE-FFT method are introduced in detail, and the topological structure of Green function interpolation template is studied.Thirdly, some key physical parameters in well logging modeling are studied by using the efficient modeling program based on IE-FFT, and some general conclusions are given.By comparing with other methods, it is proved that the IE-FFT method is correct in solving logging problems, and the advantages of this method in solving time and memory occupation are also demonstrated. Based on this condition, this paper successfully simulates the multi-layer large-scale well model.The key parameters of electromagnetic modeling for electrical logging are studied. The characteristics of different model parameters of logging model are studied. The electromagnetic field generated by horizontal component emission coil in three-component induction logging tool is deduced.Based on this study, the detection ability of inclined emission coil to formation boundary is analyzed.Fourth, the high contrast problem based on integral equation method is studied.In this paper, a new method of segment processing and piecewise updating of background Green's function is proposed, which can improve the convergence speed.The research work in this paper is based on the problem of radio wave propagation logging and induction logging, so the research work in this paper is of great reference value for the study of low frequency electromagnetic detection.
【學(xué)位授予單位】：電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：P631.81

【參考文獻(xiàn)】

相關(guān)博士學(xué)位論文 前1條

1 陳娓;關(guān)于自然電位測(cè)井的若干問(wèn)題[D];復(fù)旦大學(xué);2008年

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本文編號(hào)：1763957