本文選題：多分量感應(yīng)測井　切入點：視值轉(zhuǎn)換　出處：《燕山大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：本文旨在針對多分量感應(yīng)測井資料處理的反演問題,建立相應(yīng)的快速、穩(wěn)定的反演求解方法來解決測井問題中存在的反演效率低、穩(wěn)定性差等問題。首先,根據(jù)多分量感應(yīng)測井基本原理,通過地層坐標系、井軸坐標系和儀器坐標系之間的相互轉(zhuǎn)換關(guān)系,針對9組電磁感應(yīng)張量分量進行了信號提取;推導(dǎo)并總結(jié)各坐標系下的感應(yīng)張量解析表達式與矩陣表示,采用波分解的方法,將均勻單軸各向異性介質(zhì)條件下的多分量感應(yīng)測井響應(yīng)分解為四種類型電磁波;考察分析了幾種典型的測井視值轉(zhuǎn)換方法,并對斜井、水平井的井軸坐標系測量量進行了組合簡化。這些工作為建立多分量感應(yīng)測井反演問題奠定了基礎(chǔ)。另外還探討了多分量電磁傳播測井的組合測量方法。其次,根據(jù)應(yīng)用阻尼型正則化高斯牛頓反演算法理論基礎(chǔ),建立了基于波分解的高斯牛頓反演算法,對儀器和地層參數(shù)實現(xiàn)了簡化提取。同時開發(fā)了高斯牛頓反演算法的計算程序進行電磁仿真,驗證了基于波分解方法的高斯牛頓算法在反演問題上的實用性和可行性,但其反演精度還需進一步的驗證。最后,本文探討了哈密頓系統(tǒng)的辛幾何算法,建立了反演問題動力學(xué)方法的辛幾何算法基本理論框架,將反演問題等效為Hamilton體系的動力學(xué)問題,建立求解反演動力Hamilton體系的辛幾何算法。與高斯牛頓反演方法比較,反問題動力學(xué)方程辛幾何算法不需要Jacobi矩陣逆運算且表現(xiàn)出非常好的穩(wěn)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.
【學(xué)位授予單位】：燕山大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：P631.81

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本文編號：1568979