多分量感应测井资料处理反演方法研究

发布时间：2018-03-05 05:32

本文选题：多分量感应测井　切入点：视值转换　出处：《燕山大学》2015年硕士论文　论文类型：学位论文

【摘要】：本文旨在针对多分量感应测井资料处理的反演问题,建立相应的快速、稳定的反演求解方法来解决测井问题中存在的反演效率低、稳定性差等问题。首先,根据多分量感应测井基本原理,通过地层坐标系、井轴坐标系和仪器坐标系之间的相互转换关系,针对9组电磁感应张量分量进行了信号提取;推导并总结各坐标系下的感应张量解析表达式与矩阵表示,采用波分解的方法,将均匀单轴各向异性介质条件下的多分量感应测井响应分解为四种类型电磁波;考察分析了几种典型的测井视值转换方法,并对斜井、水平井的井轴坐标系测量量进行了组合简化。这些工作为建立多分量感应测井反演问题奠定了基础。另外还探讨了多分量电磁传播测井的组合测量方法。其次,根据应用阻尼型正则化高斯牛顿反演算法理论基础,建立了基于波分解的高斯牛顿反演算法,对仪器和地层参数实现了简化提取。同时开发了高斯牛顿反演算法的计算程序进行电磁仿真,验证了基于波分解方法的高斯牛顿算法在反演问题上的实用性和可行性,但其反演精度还需进一步的验证。最后,本文探讨了哈密顿系统的辛几何算法,建立了反演问题动力学方法的辛几何算法基本理论框架,将反演问题等效为Hamilton体系的动力学问题,建立求解反演动力Hamilton体系的辛几何算法。与高斯牛顿反演方法比较,反问题动力学方程辛几何算法不需要Jacobi矩阵逆运算且表现出非常好的稳定性。
[Abstract]:The purpose of this paper is to establish a fast and stable inversion method to solve the problems of low inversion efficiency and poor stability in the multi-component induction logging data processing. According to the basic principle of multi-component induction logging, the signal extraction of nine groups of electromagnetic induction Zhang Liang components is carried out through the transformation relations among stratigraphic coordinate system, shaft axis coordinate system and instrument coordinate system. The analytical expressions and matrix representations of inductive Zhang Liang in various coordinate systems are deduced and summarized. The multi-component induction logging responses in homogeneous uniaxial anisotropic media are decomposed into four types of electromagnetic waves by using wave decomposition method. Several typical log apparent value conversion methods are investigated and analyzed. The axial coordinate system of horizontal well has been simplified by combination. These work have laid a foundation for establishing the inversion problem of multi-component induction logging. In addition, the combined measurement method of multi-component electromagnetic propagating logging is also discussed. Secondly, According to the theory foundation of Gao Si Newton inversion algorithm based on damping regularization, we set up the Gao Si Newton inversion algorithm based on wave decomposition. The simplified extraction of the instrument and formation parameters is realized. At the same time, the calculation program of Gao Si Newton inversion algorithm is developed for electromagnetic simulation, which verifies the practicability and feasibility of Gao Si Newton algorithm based on wave decomposition in the inversion problem. Finally, the symplectic geometry algorithm of Hamiltonian system is discussed, and the basic theoretical framework of symplectic geometry algorithm for inverse problem dynamics is established. The inverse problem is equivalent to the dynamic problem of the Hamilton system, and the symplectic geometry algorithm for solving the inverse dynamic Hamilton system is established, which is compared with Gao Si Newton inversion method. The symplectic geometric algorithm for inverse dynamic equations does not require Jacobi matrix inversion and shows good stability.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：P631.81

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