基于積分方程的陣列信號(hào)的反演方法
INVERSION OF THE MEASURING DATA OF ARRAY INDUCTION IMAGER TOOL BASED ON THE INTEGRAL EQUATION
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摘要: 本文將收斂速度快的變形玻恩迭代法(DBIM)結(jié)合數(shù)值模式匹配法(NMM)用于實(shí)際工程中的陣列感應(yīng)成象儀(AIT)的測(cè)量信號(hào)的反演和剖面成象。在反演迭代過(guò)程中,利用NMM解的z向解析性質(zhì),避免了雙重?cái)?shù)值積分,提高了計(jì)算效率,同時(shí)也提高了反演質(zhì)量。文中利用不完備的測(cè)量數(shù)據(jù)對(duì)AIT進(jìn)行了反演,表明該方法非常適合實(shí)際工程應(yīng)用。
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關(guān)鍵詞:
- 逆散射; 陣列感應(yīng)成象儀; 變形玻恩迭代; 數(shù)值模式匹配法
Abstract: This paper deals with the profile reconstruction of the Array induction Imager Tool(AIT) measurement using the Distorted Born Iterative Method(DBIM) and an efficient Numerical Mode-Matching(NMM) method for the conductivity distribution in a two-dimensional axisymmetric medium.In each iteration of DBIM,the NMM method is appplied to solve a forward solver.Meanwhile,the analytic expression of the integration in the nonlinear integral equation has been derived and then the inversion of the efficiency and accuracy is improved dramatically.Several examples have shown that this method is practicable for the interpetation of electrical logging data. -
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