基于积分方程快速傅里叶变换方法电测井问题的电磁建模

发布时间：2018-04-17 14:21

本文选题：积分方程方法 + 积分方程快速傅里叶变换方法　；参考：《电子科技大学》2015年硕士论文

【摘要】：随着社会的发展,石油已经是现代工业的主要原料,能够完全替代的新能源还没有。因而,对石油测井技术的研发具有相当大的经济价值。测井响应的数值模拟对于新型仪器的优化设计、数据处理的校正和刻度技术、测井解释等至关重要。电法测井数值模拟大都是根据地层的特定情况进行设计的,目标体区域通常具有良好的轴对称特性,从而将原来的问题简化为二维问题,使得求解高效精确。而石油的开发已处于中后期发展,对于一些复杂地层,如薄互层、倾斜地层的探测变得更为常见,因而对于三维非均匀地层模型的数值模拟已越来越重要。但是对于三维测井问题的求解效率通常很低,无法用于工程应用中。本文的工作是在此工程应用背景下的研究,全文的研究主要包括以下几部分:一、对于电波传播测井和感应测井的工作原理进行详细讨论,本文的研究是基于电波传播测井和感应测井的单发双收线圈系进行的。同时利用矩量法对电法测井问题进行电磁建模。二、对IE-FFT方法的原理与实现步骤进行详细介绍;同时研究分析格林函数插值模板的拓扑结构。三、利用基于IE-FFT的高效建模程序对测井建模问题中的一些关键物理参数问题进行研究,并给出一些普适性的结论。通过与其他方法的比较,证明使用IE-FFT方法求解测井问题程序的正确性,同时体现出此方法在求解时间和内存占用方面的优势,基于此条件下,本文成功模拟多层大尺度井模型;对于电法测井问题电磁建模方面较关键的参数进行研究;对测井模型不同模型参数的特性进行研究;对三分量感应测井仪器中水平分量发射线圈产生的电磁场进行推导,基于此研究分析倾斜发射线圈对地层边界的探测能力。四、对于基于积分方程方法存在的高对比度问题进行初步的研究。提出分段处理和分段同时更新背景格林函数的处理方法,对于提高收敛速度方面取得较好的结果。本文的研究工作都是基于电波传播测井和感应测井问题下进行的,因而本文的研究工作对于低频电磁探测方面的研究具有较大的参考价值。
[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.
【学位授予单位】：电子科技大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：P631.81

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